,,parmenides ,by ,plato ,translated by ,benjamin ,jowett ,,introduction ,,and ,,analysis4 ,the awe with which ,plato regarded the character of 'the great' ,parmenides has extended to the dialogue which he calls by his name4 ,none of the writings of ,plato have been more copiously illustrated1 both in ancient and modern times1 and in none of them have the interpreters been more at variance with one another4 ,nor is this surprising4 ,for the ,parmenides is more fragmentary and isolated than any other dialogue1 and the design of the writer is not expressly stated4 ,the date is uncertain2 the relation to the other writings of ,plato is also uncertain2 the connexion between the two parts is at first sight extremely obscure2 and in the latter of the two we are left in doubt as to whether ,plato is speaking his own sentiments by the lips of ,parmenides1 and overthrowing him out of his own mouth1 or whether he is propounding consequences which would have been admitted by ,zeno and ,parmenides themselves4 ,the contradictions which follow from the hypotheses of the one and many have been regarded by some as transcendental mysteries2 by others as a mere illustration1 taken at random1 of a new method4 ,they seem to have been inspired by a sort of dialectical frenzy1 such as may be supposed to have prevailed in the ,megarian ,school 7compare ,cratylus1 etc474 ,the criticism on his own doctrine of ,ideas has also been considered1 not as a real criticism1 but as an exuberance of the metaphysical imagination which enabled ,plato to go beyond himself4 ,to the latter part of the dialogue we may certainly apply the words in which he himself describes the earlier philosophers in the ,sophist3 ',they went on their way rather regardless of whether we understood them or not4' ,the ,parmenides in point of style is one of the best of the ,platonic writings2 the first portion of the dialogue is in no way defective in ease and grace and dramatic interest2 nor in the second part1 where there was no room for such qualities1 is there any want of clearness or precision4 ,the latter half is an exquisite mosaic1 of which the small pieces are with the utmost fineness and regularity adapted to one another4 ,like the ,protagoras1 ,phaedo1 and others1 the whole is a narrated dialogue1 combining with the mere recital of the words spoken1 the observations of the reciter on the effect produced by them4 ,thus we are informed by him that ,zeno and ,parmenides were not altogether pleased at the request of ,socrates that they would examine into the nature of the one and many in the sphere of ,ideas1 although they received his suggestion with approving smiles4 ,and we are glad to be told that ,parmenides was 'aged but well-favoured1' and that ,zeno was 'very good-looking'2 also that ,parmenides affected to decline the great argument1 on which1 as ,zeno knew from experience1 he was not unwilling to enter4 ,the character of ,antiphon1 the half-brother of ,plato1 who had once been inclined to philosophy1 but has now shown the hereditary disposition for horses1 is very naturally described4 ,he is the sole depositary of the famous dialogue2 but1 although he receives the strangers like a courteous gentleman1 he is impatient of the trouble of reciting it4 ,as they enter1 he has been giving orders to a bridle-maker2 by this slight touch ,plato verifies the previous description of him4 ,after a little persuasion he is induced to favour the ,clazomenians1 who come from a distance1 with a rehearsal4 ,respecting the visit of ,zeno and ,parmenides to ,athens1 we may observe--first1 that such a visit is consistent with dates1 and may possibly have occurred2 secondly1 that ,plato is very likely to have invented the meeting 7',you1 ,socrates1 can easily invent ,egyptian tales or anything else1' ,phaedrus72 thirdly1 that no reliance can be placed on the circumstance as determining the date of ,parmenides and ,zeno2 fourthly1 that the same occasion appears to be referred to by ,plato in two other places 7,theaet41 ,soph474 ,many interpreters have regarded the ,parmenides as a 'reductio ad absurdum' of the ,eleatic philosophy4 ,but would ,plato have been likely to place this in the mouth of the great ,parmenides himself1 who appeared to him1 in ,homeric language1 to be 'venerable and awful1' and to have a 'glorious depth of mind'8 7,theaet474 ,it may be admitted that he has ascribed to an ,eleatic stranger in the ,sophist opinions which went beyond the doctrines of the ,eleatics4 ,but the ,eleatic stranger expressly criticises the doctrines in which he had been brought up2 he admits that he is going to 'lay hands on his father ,parmenides4' ,nothing of this kind is said of ,zeno and ,parmenides4 ,how then1 without a word of explanation1 could ,plato assign to them the refutation of their own tenets8 ,the conclusion at which we must arrive is that the ,parmenides is not a refutation of the ,eleatic philosophy4 ,nor would such an explanation afford any satisfactory connexion of the first and second parts of the dialogue4 ,and it is quite inconsistent with ,plato's own relation to the ,eleatics4 ,for of all the pre-,socratic philosophers1 he speaks of them with the greatest respect4 ,but he could hardly have passed upon them a more unmeaning slight than to ascribe to their great master tenets the reverse of those which he actually held4 ,two preliminary remarks may be made4 ,first1 that whatever latitude we may allow to ,plato in bringing together by a 'tour de force1' as in the ,phaedrus1 dissimilar themes1 yet he always in some way seeks to find a connexion for them4 ,many threads join together in one the love and dialectic of the ,phaedrus4 ,we cannot conceive that the great artist would place in juxtaposition two absolutely divided and incoherent subjects4 ,and hence we are led to make a second remark3 viz4 that no explanation of the ,parmenides can be satisfactory which does not indicate the connexion of the first and second parts4 ,to suppose that ,plato would first go out of his way to make ,parmenides attack the ,platonic ,ideas1 and then proceed to a similar but more fatal assault on his own doctrine of ,being1 appears to be the height of absurdity4 ,perhaps there is no passage in ,plato showing greater metaphysical power than that in which he assails his own theory of ,ideas4 ,the arguments are nearly1 if not quite1 those of ,aristotle2 they are the objections which naturally occur to a modern student of philosophy4 ,many persons will be surprised to find ,plato criticizing the very conceptions which have been supposed in after ages to be peculiarly characteristic of him4 ,how can he have placed himself so completely without them8 ,how can he have ever persisted in them after seeing the fatal objections which might be urged against them8 ,the consideration of this difficulty has led a recent critic 7,ueberweg71 who in general accepts the authorised canon of the ,platonic writings1 to condemn the ,parmenides as spurious4 ,the accidental want of external evidence1 at first sight1 seems to favour this opinion4 ,in answer1 it might be sufficient to say1 that no ancient writing of equal length and excellence is known to be spurious4 ,nor is the silence of ,aristotle to be hastily assumed2 there is at least a doubt whether his use of the same arguments does not involve the inference that he knew the work4 ,and1 if the ,parmenides is spurious1 like ,ueberweg1 we are led on further than we originally intended1 to pass a similar condemnation on the ,theaetetus and ,sophist1 and therefore on the ,politicus 7compare ,theaet41 ,soph474 ,but the objection is in reality fanciful1 and rests on the assumption that the doctrine of the ,ideas was held by ,plato throughout his life in the same form4 ,for the truth is1 that the ,platonic ,ideas were in constant process of growth and transmutation2 sometimes veiled in poetry and mythology1 then again emerging as fixed ,ideas1 in some passages regarded as absolute and eternal1 and in others as relative to the human mind1 existing in and derived from external objects as well as transcending them4 ,the anamnesis of the ,ideas is chiefly insisted upon in the mythical portions of the dialogues1 and really occupies a very small space in the entire works of ,plato4 ,their transcendental existence is not asserted1 and is therefore implicitly denied in the ,philebus2 different forms are ascribed to them in the ,republic1 and they are mentioned in the ,theaetetus1 the ,sophist1 the ,politicus1 and the ,laws1 much as ,universals would be spoken of in modern books4 ,indeed1 there are very faint traces of the transcendental doctrine of ,ideas1 that is1 of their existence apart from the mind1 in any of ,plato's writings1 with the exception of the ,meno1 the ,phaedrus1 the ,phaedo1 and in portions of the ,republic4 ,the stereotyped form which ,aristotle has given to them is not found in ,plato 7compare ,essay on the ,platonic ,ideas in the ,introduction to the ,meno47 ,the full discussion of this subject involves a comprehensive survey of the philosophy of ,plato1 which would be out of place here4 ,but1 without digressing further from the immediate subject of the ,parmenides1 we may remark that ,plato is quite serious in his objections to his own doctrines3 nor does ,socrates attempt to offer any answer to them4 ,the perplexities which surround the one and many in the sphere of the ,ideas are also alluded to in the ,philebus1 and no answer is given to them4 ,nor have they ever been answered1 nor can they be answered by any one else who separates the phenomenal from the real4 ,to suppose that ,plato1 at a later period of his life1 reached a point of view from which he was able to answer them1 is a groundless assumption4 ,the real progress of ,plato's own mind has been partly concealed from us by the dogmatic statements of ,aristotle1 and also by the degeneracy of his own followers1 with whom a doctrine of numbers quickly superseded ,ideas4 ,as a preparation for answering some of the difficulties which have been suggested1 we may begin by sketching the first portion of the dialogue3-- ,cephalus1 of ,clazomenae in ,ionia1 the birthplace of ,anaxagoras1 a citizen of no mean city in the history of philosophy1 who is the narrator of the dialogue1 describes himself as meeting ,adeimantus and ,glaucon in the ,agora at ,athens4 ',welcome1 ,cephalus3 can we do anything for you in ,athens8' ',why1 yes3 ,i came to ask a favour of you4 ,first1 tell me your half-brother's name1 which ,i have forgotten--he was a mere child when ,i was last here2--,i know his father's1 which is ,pyrilampes4' ',yes1 and the name of our brother is ,antiphon4 ,but why do you ask8' ',let me introduce to you some countrymen of mine1 who are lovers of philosophy2 they have heard that ,antiphon remembers a conversation of ,socrates with ,parmenides and ,zeno1 of which the report came to him from ,pythodorus1 ,zeno's friend4' ',that is quite true4' ',and can they hear the dialogue8' ',nothing easier2 in the days of his youth he made a careful study of the piece2 at present1 his thoughts have another direction3 he takes after his grandfather1 and has given up philosophy for horses4' ',we went to look for him1 and found him giving instructions to a worker in brass about a bridle4 ,when he had done with him1 and had learned from his brothers the purpose of our visit1 he saluted me as an old acquaintance1 and we asked him to repeat the dialogue4 ,at first1 he complained of the trouble1 but he soon consented4 ,he told us that ,pythodorus had described to him the appearance of ,parmenides and ,zeno2 they had come to ,athens at the great ,panathenaea1 the former being at the time about sixty-five years old1 aged but well-favoured--,zeno1 who was said to have been beloved of ,parmenides in the days of his youth1 about forty1 and very good-looking3--that they lodged with ,pythodorus at the ,ceramicus outside the wall1 whither ,socrates1 then a very young man1 came to see them3 ,zeno was reading one of his theses1 which he had nearly finished1 when ,pythodorus entered with ,parmenides and ,aristoteles1 who was afterwards one of the ,thirty4 ,when the recitation was completed1 ,socrates requested that the first thesis of the treatise might be read again4' ',you mean1 ,zeno1' said ,socrates1 'to argue that being1 if it is many1 must be both like and unlike1 which is a contradiction2 and each division of your argument is intended to elicit a similar absurdity1 which may be supposed to follow from the assumption that being is many4' ',such is my meaning4' ',i see1' said ,socrates1 turning to ,parmenides1 'that ,zeno is your second self in his writings too2 you prove admirably that the all is one3 he gives proofs no less convincing that the many are nought4 ,to deceive the world by saying the same thing in entirely different forms1 is a strain of art beyond most of us4' ',yes1 ,socrates1' said ,zeno2 'but though you are as keen as a ,spartan hound1 you do not quite catch the motive of the piece1 which was only intended to protect ,parmenides against ridicule by showing that the hypothesis of the existence of the many involved greater absurdities than the hypothesis of the one4 ,the book was a youthful composition of mine1 which was stolen from me1 and therefore ,i had no choice about the publication4' ',i quite believe you1' said ,socrates2 'but will you answer me a question8 ,i should like to know1 whether you would assume an idea of likeness in the abstract1 which is the contradictory of unlikeness in the abstract1 by participation in either or both of which things are like or unlike or partly both4 ,for the same things may very well partake of like and unlike in the concrete1 though like and unlike in the abstract are irreconcilable4 ,nor does there appear to me to be any absurdity in maintaining that the same things may partake of the one and many1 though ,i should be indeed surprised to hear that the absolute one is also many4 ,for example1 ,i1 being many1 that is to say1 having many parts or members1 am yet also one1 and partake of the one1 being one of seven who are here present 7compare ,philebus74 ,this is not an absurdity1 but a truism4 ,but ,i should be amazed if there were a similar entanglement in the nature of the ideas themselves1 nor can ,i believe that one and many1 like and unlike1 rest and motion1 in the abstract1 are capable either of admixture or of separation4' ,pythodorus said that in his opinion ,parmenides and ,zeno were not very well pleased at the questions which were raised2 nevertheless1 they looked at one another and smiled in seeming delight and admiration of ,socrates4 ',tell me1' said ,parmenides1 'do you think that the abstract ideas of likeness1 unity1 and the rest1 exist apart from individuals which partake of them8 and is this your own distinction8' ',i think that there are such ideas4' ',and would you make abstract ideas of the just1 the beautiful1 the good8' ',yes1' he said4 ',and of human beings like ourselves1 of water1 fire1 and the like8' ',i am not certain4' ',and would you be undecided also about ideas of which the mention will1 perhaps1 appear laughable3 of hair1 mud1 filth1 and other things which are base and vile8' ',no1 ,parmenides2 visible things like these are1 as ,i believe1 only what they appear to be3 though ,i am sometimes disposed to imagine that there is nothing without an idea2 but ,i repress any such notion1 from a fear of falling into an abyss of nonsense4' ',you are young1 ,socrates1 and therefore naturally regard the opinions of men2 the time will come when philosophy will have a firmer hold of you1 and you will not despise even the meanest things4 ,but tell me1 is your meaning that things become like by partaking of likeness1 great by partaking of greatness1 just and beautiful by partaking of justice and beauty1 and so of other ideas8' ',yes1 that is my meaning4' ',and do you suppose the individual to partake of the whole1 or of the part8' ',why not of the whole8' said ,socrates4 ',because1' said ,parmenides1 'in that case the whole1 which is one1 will become many4' ',nay1' said ,socrates1 'the whole may be like the day1 which is one and in many places3 in this way the ideas may be one and also many4' ',in the same sort of way1' said ,parmenides1 'as a sail1 which is one1 may be a cover to many--that is your meaning8' ',yes4' ',and would you say that each man is covered by the whole sail1 or by a part only8' ',by a part4' ',then the ideas have parts1 and the objects partake of a part of them only8' ',that seems to follow4' ',and would you like to say that the ideas are really divisible and yet remain one8' ',certainly not4' ',would you venture to affirm that great objects have a portion only of greatness transferred to them2 or that small or equal objects are small or equal because they are only portions of smallness or equality8' ',impossible4' ',but how can individuals participate in ideas1 except in the ways which ,i have mentioned8' ',that is not an easy question to answer4' ',i should imagine the conception of ideas to arise as follows3 you see great objects pervaded by a common form or idea of greatness1 which you abstract4' ',that is quite true4' ',and supposing you embrace in one view the idea of greatness thus gained and the individuals which it comprises1 a further idea of greatness arises1 which makes both great2 and this may go on to infinity4' ,socrates replies that the ideas may be thoughts in the mind only2 in this case1 the consequence would no longer follow4 ',but must not the thought be of something which is the same in all and is the idea8 ,and if the world partakes in the ideas1 and the ideas are thoughts1 must not all things think8 ,or can thought be without thought8' ',i acknowledge the unmeaningness of this1' says ,socrates1 'and would rather have recourse to the explanation that the ideas are types in nature1 and that other things partake of them by becoming like them4' ',but to become like them is to be comprehended in the same idea2 and the likeness of the idea and the individuals implies another idea of likeness1 and another without end4' ',quite true4' ',the theory1 then1 of participation by likeness has to be given up4 ,you have hardly yet1 ,socrates1 found out the real difficulty of maintaining abstract ideas4' ',what difficulty8' ',the greatest of all perhaps is this3 an opponent will argue that the ideas are not within the range of human knowledge2 and you cannot disprove the assertion without a long and laborious demonstration1 which he may be unable or unwilling to follow4 ,in the first place1 neither you nor any one who maintains the existence of absolute ideas will affirm that they are subjective4' ',that would be a contradiction4' ',true2 and therefore any relation in these ideas is a relation which concerns themselves only2 and the objects which are named after them1 are relative to one another only1 and have nothing to do with the ideas themselves4' ',how do you mean8' said ,socrates4 ',i may illustrate my meaning in this way3 one of us has a slave2 and the idea of a slave in the abstract is relative to the idea of a master in the abstract2 this correspondence of ideas1 however1 has nothing to do with the particular relation of our slave to us4--,do you see my meaning8' ',perfectly4' ',and absolute knowledge in the same way corresponds to absolute truth and being1 and particular knowledge to particular truth and being4' ,clearly4' ',and there is a subjective knowledge which is of subjective truth1 having many kinds1 general and particular4 ,but the ideas themselves are not subjective1 and therefore are not within our ken4' ',they are not4' ',then the beautiful and the good in their own nature are unknown to us8' ',it would seem so4' ',there is a worse consequence yet4' ',what is that8' ',i think we must admit that absolute knowledge is the most exact knowledge1 which we must therefore attribute to ,god4 ,but then see what follows3 ,god1 having this exact knowledge1 can have no knowledge of human things1 as we have divided the two spheres1 and forbidden any passing from one to the other3--the gods have knowledge and authority in their world only1 as we have in ours4' ',yet1 surely1 to deprive ,god of knowledge is monstrous4'--',these are some of the difficulties which are involved in the assumption of absolute ideas2 the learner will find them nearly impossible to understand1 and the teacher who has to impart them will require superhuman ability2 there will always be a suspicion1 either that they have no existence1 or are beyond human knowledge4' ',there ,i agree with you1' said ,socrates4 ',yet if these difficulties induce you to give up universal ideas1 what becomes of the mind8 and where are the reasoning and reflecting powers8 philosophy is at an end4' ',i certainly do not see my way4' ',i think1' said ,parmenides1 'that this arises out of your attempting to define abstractions1 such as the good and the beautiful and the just1 before you have had sufficient previous training2 ,i noticed your deficiency when you were talking with ,aristoteles1 the day before yesterday4 ,your enthusiasm is a wonderful gift2 but ,i fear that unless you discipline yourself by dialectic while you are young1 truth will elude your grasp4' ',and what kind of discipline would you recommend8' ',the training which you heard ,zeno practising2 at the same time1 ,i admire your saying to him that you did not care to consider the difficulty in reference to visible objects1 but only in relation to ideas4' ',yes2 because ,i think that in visible objects you may easily show any number of inconsistent consequences4' ',yes2 and you should consider1 not only the consequences which follow from a given hypothesis1 but the consequences also which follow from the denial of the hypothesis4 ,for example1 what follows from the assumption of the existence of the many1 and the counter-argument of what follows from the denial of the existence of the many3 and similarly of likeness and unlikeness1 motion1 rest1 generation1 corruption1 being and not being4 ,and the consequences must include consequences to the things supposed and to other things1 in themselves and in relation to one another1 to individuals whom you select1 to the many1 and to the all2 these must be drawn out both on the affirmative and on the negative hypothesis1--that is1 if you are to train yourself perfectly to the intelligence of the truth4' ',what you are suggesting seems to be a tremendous process1 and one of which ,i do not quite understand the nature1' said ,socrates2 'will you give me an example8' ',you must not impose such a task on a man of my years1' said ,parmenides4 ',then will you1 ,zeno8' ',let us rather1' said ,zeno1 with a smile1 'ask ,parmenides1 for the undertaking is a serious one1 as he truly says2 nor could ,i urge him to make the attempt1 except in a select audience of persons who will understand him4' ,the whole party joined in the request4 ,here we have1 first of all1 an unmistakable attack made by the youthful ,socrates on the paradoxes of ,zeno4 ,he perfectly understands their drift1 and ,zeno himself is supposed to admit this4 ,but they appear to him1 as he says in the ,philebus also1 to be rather truisms than paradoxes4 ,for every one must acknowledge the obvious fact1 that the body being one has many members1 and that1 in a thousand ways1 the like partakes of the unlike1 the many of the one4 ,the real difficulty begins with the relations of ideas in themselves1 whether of the one and many1 or of any other ideas1 to one another and to the mind4 ,but this was a problem which the ,eleatic philosophers had never considered2 their thoughts had not gone beyond the contradictions of matter1 motion1 space1 and the like4 ,it was no wonder that ,parmenides and ,zeno should hear the novel speculations of ,socrates with mixed feelings of admiration and displeasure4 ,he was going out of the received circle of disputation into a region in which they could hardly follow him4 ,from the crude idea of ,being in the abstract1 he was about to proceed to universals or general notions4 ,there is no contradiction in material things partaking of the ideas of one and many2 neither is there any contradiction in the ideas of one and many1 like and unlike1 in themselves4 ,but the contradiction arises when we attempt to conceive ideas in their connexion1 or to ascertain their relation to phenomena4 ,still he affirms the existence of such ideas2 and this is the position which is now in turn submitted to the criticisms of ,parmenides4 ,to appreciate truly the character of these criticisms1 we must remember the place held by ,parmenides in the history of ,greek philosophy4 ,he is the founder of idealism1 and also of dialectic1 or1 in modern phraseology1 of metaphysics and logic 7,theaet41 ,soph474 ,like ,plato1 he is struggling after something wider and deeper than satisfied the contemporary ,pythagoreans4 ,and ,plato with a true instinct recognizes him as his spiritual father1 whom he 'revered and honoured more than all other philosophers together4' ,he may be supposed to have thought more than he said1 or was able to express4 ,and1 although he could not1 as a matter of fact1 have criticized the ideas of ,plato without an anachronism1 the criticism is appropriately placed in the mouth of the founder of the ideal philosophy4 ,there was probably a time in the life of ,plato when the ethical teaching of ,socrates came into conflict with the metaphysical theories of the earlier philosophers1 and he sought to supplement the one by the other4 ,the older philosophers were great and awful2 and they had the charm of antiquity4 ,something which found a response in his own mind seemed to have been lost as well as gained in the ,socratic dialectic4 ,he felt no incongruity in the veteran ,parmenides correcting the youthful ,socrates4 ,two points in his criticism are especially deserving of notice4 ,first of all1 ,parmenides tries him by the test of consistency4 ,socrates is willing to assume ideas or principles of the just1 the beautiful1 the good1 and to extend them to man 7compare ,phaedo72 but he is reluctant to admit that there are general ideas of hair1 mud1 filth1 etc4 ,there is an ethical universal or idea1 but is there also a universal of physics8--of the meanest things in the world as well as of the greatest8 ,parmenides rebukes this want of consistency in ,socrates1 which he attributes to his youth4 ,as he grows older1 philosophy will take a firmer hold of him1 and then he will despise neither great things nor small1 and he will think less of the opinions of mankind 7compare ,soph474 ,here is lightly touched one of the most familiar principles of modern philosophy1 that in the meanest operations of nature1 as well as in the noblest1 in mud and filth1 as well as in the sun and stars1 great truths are contained4 ,at the same time1 we may note also the transition in the mind of ,plato1 to which ,aristotle alludes 7,met471 when1 as he says1 he transferred the ,socratic universal of ethics to the whole of nature4 ,the other criticism of ,parmenides on ,socrates attributes to him a want of practice in dialectic4 ,he has observed this deficiency in him when talking to ,aristoteles on a previous occasion4 ,plato seems to imply that there was something more in the dialectic of ,zeno than in the mere interrogation of ,socrates4 ,here1 again1 he may perhaps be describing the process which his own mind went through when he first became more intimately acquainted1 whether at ,megara or elsewhere1 with the ,eleatic and ,megarian philosophers4 ,still1 ,parmenides does not deny to ,socrates the credit of having gone beyond them in seeking to apply the paradoxes of ,zeno to ideas2 and this is the application which he himself makes of them in the latter part of the dialogue4 ,he then proceeds to explain to him the sort of mental gymnastic which he should practise4 ,he should consider not only what would follow from a given hypothesis1 but what would follow from the denial of it1 to that which is the subject of the hypothesis1 and to all other things4 ,there is no trace in the ,memorabilia of ,xenophon of any such method being attributed to ,socrates2 nor is the dialectic here spoken of that 'favourite method' of proceeding by regular divisions1 which is described in the ,phaedrus and ,philebus1 and of which examples are given in the ,politicus and in the ,sophist4 ,it is expressly spoken of as the method which ,socrates had heard ,zeno practise in the days of his youth 7compare ,soph474 ,the discussion of ,socrates with ,parmenides is one of the most remarkable passages in ,plato4 ,few writers have ever been able to anticipate 'the criticism of the morrow' on their favourite notions4 ,but ,plato may here be said to anticipate the judgment not only of the morrow1 but of all after-ages on the ,platonic ,ideas4 ,for in some points he touches questions which have not yet received their solution in modern philosophy4 ,the first difficulty which ,parmenides raises respecting the ,platonic ideas relates to the manner in which individuals are connected with them4 ,do they participate in the ideas1 or do they merely resemble them8 ,parmenides shows that objections may be urged against either of these modes of conceiving the connection4 ,things are little by partaking of littleness1 great by partaking of greatness1 and the like4 ,but they cannot partake of a part of greatness1 for that will not make them great1 etc42 nor can each object monopolise the whole4 ,the only answer to this is1 that 'partaking' is a figure of speech1 really corresponding to the processes which a later logic designates by the terms 'abstraction' and 'generalization4' ,when we have described accurately the methods or forms which the mind employs1 we cannot further criticize them2 at least we can only criticize them with reference to their fitness as instruments of thought to express facts4 ,socrates attempts to support his view of the ideas by the parallel of the day1 which is one and in many places2 but he is easily driven from his position by a counter illustration of ,parmenides1 who compares the idea of greatness to a sail4 ,he truly explains to ,socrates that he has attained the conception of ideas by a process of generalization4 ,at the same time1 he points out a difficulty1 which appears to be involved--viz4 that the process of generalization will go on to infinity4 ,socrates meets the supposed difficulty by a flash of light1 which is indeed the true answer 'that the ideas are in our minds only4' ,neither realism is the truth1 nor nominalism is the truth1 but conceptualism2 and conceptualism or any other psychological theory falls very far short of the infinite subtlety of language and thought4 ,but the realism of ancient philosophy will not admit of this answer1 which is repelled by ,parmenides with another truth or half-truth of later philosophy1 ',every subject or subjective must have an object4' ,here is the great though unconscious truth 7shall we say87 or error1 which underlay the early ,greek philosophy4 ',ideas must have a real existence2' they are not mere forms or opinions1 which may be changed arbitrarily by individuals4 ,but the early ,greek philosopher never clearly saw that true ideas were only universal facts1 and that there might be error in universals as well as in particulars4 ,socrates makes one more attempt to defend the ,platonic ,ideas by representing them as paradigms2 this is again answered by the 'argumentum ad infinitum4' ,we may remark1 in passing1 that the process which is thus described has no real existence4 ,the mind1 after having obtained a general idea1 does not really go on to form another which includes that1 and all the individuals contained under it1 and another and another without end4 ,the difficulty belongs in fact to the ,megarian age of philosophy1 and is due to their illogical logic1 and to the general ignorance of the ancients respecting the part played by language in the process of thought4 ,no such perplexity could ever trouble a modern metaphysician1 any more than the fallacy of 'calvus' or 'acervus1' or of ',achilles and the tortoise4' ,these 'surds' of metaphysics ought to occasion no more difficulty in speculation than a perpetually recurring fraction in arithmetic4 ,it is otherwise with the objection which follows3 ,how are we to bridge the chasm between human truth and absolute truth1 between gods and men8 ,this is the difficulty of philosophy in all ages3 ,how can we get beyond the circle of our own ideas1 or how1 remaining within them1 can we have any criterion of a truth beyond and independent of them8 ,parmenides draws out this difficulty with great clearness4 ,according to him1 there are not only one but two chasms3 the first1 between individuals and the ideas which have a common name2 the second1 between the ideas in us and the ideas absolute4 ,the first of these two difficulties mankind1 as we may say1 a little parodying the language of the ,philebus1 have long agreed to treat as obsolete2 the second remains a difficulty for us as well as for the ,greeks of the fourth century before ,christ1 and is the stumbling-block of ,kant's ,kritik1 and of the ,hamiltonian adaptation of ,kant1 as well as of the ,platonic ideas4 ,it has been said that 'you cannot criticize ,revelation4' ',then how do you know what is ,revelation1 or that there is one at all1' is the immediate rejoinder--',you know nothing of things in themselves4' ',then how do you know that there are things in themselves8' ,in some respects1 the difficulty pressed harder upon the ,greek than upon ourselves4 ,for conceiving of ,god more under the attribute of knowledge than we do1 he was more under the necessity of separating the divine from the human1 as two spheres which had no communication with one another4 ,it is remarkable that ,plato1 speaking by the mouth of ,parmenides1 does not treat even this second class of difficulties as hopeless or insoluble4 ,he says only that they cannot be explained without a long and laborious demonstration3 ',the teacher will require superhuman ability1 and the learner will be hard of understanding4' ,but an attempt must be made to find an answer to them2 for1 as ,socrates and ,parmenides both admit1 the denial of abstract ideas is the destruction of the mind4 ,we can easily imagine that among the ,greek schools of philosophy in the fourth century before ,christ a panic might arise from the denial of universals1 similar to that which arose in the last century from ,hume's denial of our ideas of cause and effect4 ,men do not at first recognize that thought1 like digestion1 will go on much the same1 notwithstanding any theories which may be entertained respecting the nature of the process4 ,parmenides attributes the difficulties in which ,socrates is involved to a want of comprehensiveness in his mode of reasoning2 he should consider every question on the negative as well as the positive hypothesis1 with reference to the consequences which flow from the denial as well as from the assertion of a given statement4 ,the argument which follows is the most singular in ,plato4 ,it appears to be an imitation1 or parody1 of the ,zenonian dialectic1 just as the speeches in the ,phaedrus are an imitation of the style of ,lysias1 or as the derivations in the ,cratylus or the fallacies of the ,euthydemus are a parody of some contemporary ,sophist4 ,the interlocutor is not supposed1 as in most of the other ,platonic dialogues1 to take a living part in the argument2 he is only required to say ',yes' and ',no' in the right places4 ,a hint has been already given that the paradoxes of ,zeno admitted of a higher application4 ,this hint is the thread by which ,plato connects the two parts of the dialogue4 ,the paradoxes of ,parmenides seem trivial to us1 because the words to which they relate have become trivial2 their true nature as abstract terms is perfectly understood by us1 and we are inclined to regard the treatment of them in ,plato as a mere straw-splitting1 or legerdemain of words4 ,yet there was a power in them which fascinated the ,neoplatonists for centuries afterwards4 ,something that they found in them1 or brought to them--some echo or anticipation of a great truth or error1 exercised a wonderful influence over their minds4 ,to do the ,parmenides justice1 we should imagine similar aporiai raised on themes as sacred to us1 as the notions of ,one or ,being were to an ancient ,eleatic4 ',if ,god is1 what follows8 ,if ,god is not1 what follows8' ,or again3 ,if ,god is or is not the world2 or if ,god is or is not many1 or has or has not parts1 or is or is not in the world1 or in time2 or is or is not finite or infinite4 ,or if the world is or is not2 or has or has not a beginning or end2 or is or is not infinite1 or infinitely divisible4 ,or again3 if ,god is or is not identical with his laws2 or if man is or is not identical with the laws of nature4 ,we can easily see that here are many subjects for thought1 and that from these and similar hypotheses questions of great interest might arise4 ,and we also remark1 that the conclusions derived from either of the two alternative propositions might be equally impossible and contradictory4 ,when we ask what is the object of these paradoxes1 some have answered that they are a mere logical puzzle1 while others have seen in them an ,hegelian propaedeutic of the doctrine of ,ideas4 ,the first of these views derives support from the manner in which ,parmenides speaks of a similar method being applied to all ,ideas4 ,yet it is hard to suppose that ,plato would have furnished so elaborate an example1 not of his own but of the ,eleatic dialectic1 had he intended only to give an illustration of method4 ,the second view has been often overstated by those who1 like ,hegel himself1 have tended to confuse ancient with modern philosophy4 ,we need not deny that ,plato1 trained in the school of ,cratylus and ,heracleitus1 may have seen that a contradiction in terms is sometimes the best expression of a truth higher than either 7compare ,soph474 ,but his ideal theory is not based on antinomies4 ,the correlation of ,ideas was the metaphysical difficulty of the age in which he lived2 and the ,megarian and ,cynic philosophy was a 'reductio ad absurdum' of their isolation4 ,to restore them to their natural connexion and to detect the negative element in them is the aim of ,plato in the ,sophist4 ,but his view of their connexion falls very far short of the ,hegelian identity of ,being and ,not-being4 ,the ,being and ,not-being of ,plato never merge in each other1 though he is aware that 'determination is only negation4' ,after criticizing the hypotheses of others1 it may appear presumptuous to add another guess to the many which have been already offered4 ,may we say1 in ,platonic language1 that we still seem to see vestiges of a track which has not yet been taken8 ,it is quite possible that the obscurity of the ,parmenides would not have existed to a contemporary student of philosophy1 and1 like the similar difficulty in the ,philebus1 is really due to our ignorance of the mind of the age4 ,there is an obscure ,megarian influence on ,plato which cannot wholly be cleared up1 and is not much illustrated by the doubtful tradition of his retirement to ,megara after the death of ,socrates4 ,for ,megara was within a walk of ,athens 7,phaedr471 and ,plato might have learned the ,megarian doctrines without settling there4 ,we may begin by remarking that the theses of ,parmenides are expressly said to follow the method of ,zeno1 and that the complex dilemma1 though declared to be capable of universal application1 is applied in this instance to ,zeno's familiar question of the 'one and many4' ,here1 then1 is a double indication of the connexion of the ,parmenides with the ,eristic school4 ,the old ,eleatics had asserted the existence of ,being1 which they at first regarded as finite1 then as infinite1 then as neither finite nor infinite1 to which some of them had given what ,aristotle calls 'a form1' others had ascribed a material nature only4 ,the tendency of their philosophy was to deny to ,being all predicates4 ,the ,megarians1 who succeeded them1 like the ,cynics1 affirmed that no predicate could be asserted of any subject2 they also converted the idea of ,being into an abstraction of ,good1 perhaps with the view of preserving a sort of neutrality or indifference between the mind and things4 ,as if they had said1 in the language of modern philosophy3 ',being is not only neither finite nor infinite1 neither at rest nor in motion1 but neither subjective nor objective4' ,this is the track along which ,plato is leading us4 ,zeno had attempted to prove the existence of the one by disproving the existence of the many1 and ,parmenides seems to aim at proving the existence of the subject by showing the contradictions which follow from the assertion of any predicates4 ,take the simplest of all notions1 'unity'2 you cannot even assert being or time of this without involving a contradiction4 ,but is the contradiction also the final conclusion8 ,probably no more than of ,zeno's denial of the many1 or of ,parmenides' assault upon the ,ideas2 no more than of the earlier dialogues 'of search4' ,to us there seems to be no residuum of this long piece of dialectics4 ,but to the mind of ,parmenides and ,plato1 ',gott-betrunkene ,menschen1' there still remained the idea of 'being' or 'good1' which could not be conceived1 defined1 uttered1 but could not be got rid of4 ,neither of them would have imagined that their disputation ever touched the ,divine ,being 7compare ,phil474 ,the same difficulties about ,unity and ,being are raised in the ,sophist2 but there only as preliminary to their final solution4 ,if this view is correct1 the real aim of the hypotheses of ,parmenides is to criticize the earlier ,eleatic philosophy from the point of view of ,zeno or the ,megarians4 ,it is the same kind of criticism which ,plato has extended to his own doctrine of ,ideas4 ,nor is there any want of poetical consistency in attributing to the 'father ,parmenides' the last review of the ,eleatic doctrines4 ,the latest phases of all philosophies were fathered upon the founder of the school4 ,other critics have regarded the final conclusion of the ,parmenides either as sceptical or as ,heracleitean4 ,in the first case1 they assume that ,plato means to show the impossibility of any truth4 ,but this is not the spirit of ,plato1 and could not with propriety be put into the mouth of ,parmenides1 who1 in this very dialogue1 is urging ,socrates1 not to doubt everything1 but to discipline his mind with a view to the more precise attainment of truth4 ,the same remark applies to the second of the two theories4 ,plato everywhere ridicules 7perhaps unfairly7 his ,heracleitean contemporaries3 and if he had intended to support an ,heracleitean thesis1 would hardly have chosen ,parmenides1 the condemner of the 'undiscerning tribe who say that things both are and are not1' to be the speaker4 ,nor1 thirdly1 can we easily persuade ourselves with ,zeller that by the 'one' he means the ,idea2 and that he is seeking to prove indirectly the unity of the ,idea in the multiplicity of phenomena4 ,we may now endeavour to thread the mazes of the labyrinth which ,parmenides knew so well1 and trembled at the thought of them4 ,the argument has two divisions3 ,there is the hypothesis that #a4 ,one is4 #b4 ,one is not4 ,if one is1 it is nothing4 ,if one is not1 it is everything4 ,but is and is not may be taken in two senses3 ,either one is one1 ,or1 one has being1 from which opposite consequences are deduced1 #a4;a4 ,if one is one1 it is nothing4 #a4;b4 ,if one has being1 it is all things4 ,to which are appended two subordinate consequences3 #a4;aa4 ,if one has being1 all other things are4 #a4;bb4 ,if one is one1 all other things are not4 ,the same distinction is then applied to the negative hypothesis3 #b4;a4 ,if one is not one1 it is all things4 #b4;b4 ,if one has not being1 it is nothing4 ,involving two parallel consequences respecting the other or remainder3 #b4;aa4 ,if one is not one1 other things are all4 #b4;bb4 ,if one has not being1 other things are not4 44444 ',i cannot refuse1' said ,parmenides1 'since1 as ,zeno remarks1 we are alone1 though ,i may say with ,ibycus1 who in his old age fell in love1 ,i1 like the old racehorse1 tremble at the prospect of the course which ,i am to run1 and which ,i know so well4 ,but as ,i must attempt this laborious game1 what shall be the subject8 ,suppose ,i take my own hypothesis of the one4' ',by all means1' said ,zeno4 ',and who will answer me8 ,shall ,i propose the youngest8 he will be the most likely to say what he thinks1 and his answers will give me time to breathe4' ',i am the youngest1' said ,aristoteles1 'and at your service2 proceed with your questions4'--,the result may be summed up as follows3-- #a4;a4 ,one is not many1 and therefore has no parts1 and therefore is not a whole1 which is a sum of parts1 and therefore has neither beginning1 middle1 nor end1 and is therefore unlimited1 and therefore formless1 being neither round nor straight1 for neither round nor straight can be defined without assuming that they have parts2 and therefore is not in place1 whether in another which would encircle and touch the one at many points2 or in itself1 because that which is self-containing is also contained1 and therefore not one but two4 ,this being premised1 let us consider whether one is capable either of motion or rest4 ,for motion is either change of substance1 or motion on an axis1 or from one place to another4 ,but the one is incapable of change of substance1 which implies that it ceases to be itself1 or of motion on an axis1 because there would be parts around the axis2 and any other motion involves change of place4 ,but existence in place has been already shown to be impossible2 and yet more impossible is coming into being in place1 which implies partial existence in two places at once1 or entire existence neither within nor without the same2 and how can this be8 ,and more impossible still is the coming into being either as a whole or parts of that which is neither a whole nor parts4 ,the one1 then1 is incapable of motion4 ,but neither can the one be in anything1 and therefore not in the same1 whether itself or some other1 and is therefore incapable of rest4 ,neither is one the same with itself or any other1 or other than itself or any other4 ,for if other than itself1 then other than one1 and therefore not one2 and1 if the same with other1 it would be other1 and other than one4 ,neither can one while remaining one be other than other2 for other1 and not one1 is the other than other4 ,but if not other by virtue of being one1 not by virtue of itself2 and if not by virtue of itself1 not itself other1 and if not itself other1 not other than anything4 ,neither will one be the same with itself4 ,for the nature of the same is not that of the one1 but a thing which becomes the same with anything does not become one2 for example1 that which becomes the same with the many becomes many and not one4 ,and therefore if the one is the same with itself1 the one is not one with itself2 and therefore one and not one4 ,and therefore one is neither other than other1 nor the same with itself4 ,neither will the one be like or unlike itself or other2 for likeness is sameness of affections1 and the one and the same are different4 ,and one having any affection which is other than being one would be more than one4 ,the one1 then1 cannot have the same affection with and therefore cannot be like itself or other2 nor can the one have any other affection than its own1 that is1 be unlike itself or any other1 for this would imply that it was more than one4 ,the one1 then1 is neither like nor unlike itself or other4 ,this being the case1 neither can the one be equal or unequal to itself or other4 ,for equality implies sameness of measure1 as inequality implies a greater or less number of measures4 ,but the one1 not having sameness1 cannot have sameness of measure2 nor a greater or less number of measures1 for that would imply parts and multitude4 ,once more1 can one be older or younger than itself or other8 or of the same age with itself or other8 ,that would imply likeness and unlikeness1 equality and inequality4 ,therefore one cannot be in time1 because that which is in time is ever becoming older and younger than itself1 7for older and younger are relative terms1 and he who becomes older becomes younger17 and is also of the same age with itself4 ,none of which1 or any other expressions of time1 whether past1 future1 or present1 can be affirmed of one4 ,one neither is1 has been1 nor will be1 nor becomes1 nor has1 nor will become4 ,and1 as these are the only modes of being1 one is not1 and is not one4 ,but to that which is not1 there is no attribute or relative1 neither name nor word nor idea nor science nor perception nor opinion appertaining4 ,one1 then1 is neither named1 nor uttered1 nor known1 nor perceived1 nor imagined4 ,but can all this be true8 ',i think not4' #a4;b4 ,let us1 however1 commence the inquiry again4 ,we have to work out all the consequences which follow on the assumption that the one is4 ,if one is1 one partakes of being1 which is not the same with one2 the words 'being' and 'one' have different meanings4 ,observe the consequence3 ,in the one of being or the being of one are two parts1 being and one1 which form one whole4 ,and each of the two parts is also a whole1 and involves the other1 and may be further subdivided into one and being1 and is therefore not one but two2 and thus one is never one1 and in this way the one1 if it is1 becomes many and infinite4 ,again1 let us conceive of a one which by an effort of abstraction we separate from being3 will this abstract one be one or many8 ,you say one only2 let us see4 ,in the first place1 the being of one is other than one2 and one and being1 if different1 are so because they both partake of the nature of other1 which is therefore neither one nor being2 and whether we take being and other1 or being and one1 or one and other1 in any case we have two things which separately are called either1 and together both4 ,and both are two and either of two is severally one1 and if one be added to any of the pairs1 the sum is three2 and two is an even number1 three an odd2 and two units exist twice1 and therefore there are twice two2 and three units exist thrice1 and therefore there are thrice three1 and taken together they give twice three and thrice two3 we have even numbers multiplied into even1 and odd into even1 and even into odd numbers4 ,but if one is1 and both odd and even numbers are implied in one1 must not every number exist8 ,and number is infinite1 and therefore existence must be infinite1 for all and every number partakes of being2 therefore being has the greatest number of parts1 and every part1 however great or however small1 is equally one4 ,but can one be in many places and yet be a whole8 ,if not a whole it must be divided into parts and represented by a number corresponding to the number of the parts4 ,and if so1 we were wrong in saying that being has the greatest number of parts2 for being is coequal and coextensive with one1 and has no more parts than one2 and so the abstract one broken up into parts by being is many and infinite4 ,but the parts are parts of a whole1 and the whole is their containing limit1 and the one is therefore limited as well as infinite in number2 and that which is a whole has beginning1 middle1 and end1 and a middle is equidistant from the extremes2 and one is therefore of a certain figure1 round or straight1 or a combination of the two1 and being a whole includes all the parts which are the whole1 and is therefore self-contained4 ,but then1 again1 the whole is not in the parts1 whether all or some4 ,not in all1 because1 if in all1 also in one2 for1 if wanting in any one1 how in all8--not in some1 because the greater would then be contained in the less4 ,but if not in all1 nor in any1 nor in some1 either nowhere or in other4 ,and if nowhere1 nothing2 therefore in other4 ,the one as a whole1 then1 is in another1 but regarded as a sum of parts is in itself2 and is1 therefore1 both in itself and in another4 ,this being the case1 the one is at once both at rest and in motion3 at rest1 because resting in itself2 in motion1 because it is ever in other4 ,and if there is truth in what has preceded1 one is the same and not the same with itself and other4 ,for everything in relation to every other thing is either the same with it or other2 or if neither the same nor other1 then in the relation of part to a whole or whole to a part4 ,but one cannot be a part or whole in relation to one1 nor other than one2 and is therefore the same with one4 ,yet this sameness is again contradicted by one being in another place from itself which is in the same place2 this follows from one being in itself and in another2 one1 therefore1 is other than itself4 ,but if anything is other than anything1 will it not be other than other8 ,and the not one is other than the one1 and the one than the not one2 therefore one is other than all others4 ,but the same and the other exclude one another1 and therefore the other can never be in the same2 nor can the other be in anything for ever so short a time1 as for that time the other will be in the same4 ,and the other1 if never in the same1 cannot be either in the one or in the not one4 ,and one is not other than not one1 either by reason of other or of itself2 and therefore they are not other than one another at all4 ,neither can the not one partake or be part of one1 for in that case it would be one2 nor can the not one be number1 for that also involves one4 ,and therefore1 not being other than the one or related to the one as a whole to parts or parts to a whole1 not one is the same as one4 ,wherefore the one is the same and also not the same with the others and also with itself2 and is therefore like and unlike itself and the others1 and just as different from the others as they are from the one1 neither more nor less4 ,but if neither more nor less1 equally different2 and therefore the one and the others have the same relations4 ,this may be illustrated by the case of names3 when you repeat the same name twice over1 you mean the same thing2 and when you say that the other is other than the one1 or the one other than the other1 this very word other 7eteron71 which is attributed to both1 implies sameness4 ,one1 then1 as being other than others1 and other as being other than one1 are alike in that they have the relation of otherness2 and likeness is similarity of relations4 ,and everything as being other of everything is also like everything4 ,again1 same and other1 like and unlike1 are opposites3 and since in virtue of being other than the others the one is like them1 in virtue of being the same it must be unlike4 ,again1 one1 as having the same relations1 has no difference of relation1 and is therefore not unlike1 and therefore like2 or1 as having different relations1 is different and unlike4 ,thus1 one1 as being the same and not the same with itself and others--for both these reasons and for either of them--is also like and unlike itself and the others4 ,again1 how far can one touch itself and the others8 ,as existing in others1 it touches the others2 and as existing in itself1 touches only itself4 ,but from another point of view1 that which touches another must be next in order of place2 one1 therefore1 must be next in order of place to itself1 and would therefore be two1 and in two places4 ,but one cannot be two1 and therefore cannot be in contact with itself4 ,nor again can one touch the other4 ,two objects are required to make one contact2 three objects make two contacts2 and all the objects in the world1 if placed in a series1 would have as many contacts as there are objects1 less one4 ,but if one only exists1 and not two1 there is no contact4 ,and the others1 being other than one1 have no part in one1 and therefore none in number1 and therefore two has no existence1 and therefore there is no contact4 ,for all which reasons1 one has and has not contact with itself and the others4 ,once more1 ,is one equal and unequal to itself and the others8 ,suppose one and the others to be greater or less than each other or equal to one another1 they will be greater or less or equal by reason of equality or greatness or smallness inhering in them in addition to their own proper nature4 ,let us begin by assuming smallness to be inherent in one3 in this case the inherence is either in the whole or in a part4 ,if the first1 smallness is either coextensive with the whole one1 or contains the whole1 and1 if coextensive with the one1 is equal to the one1 or if containing the one will be greater than the one4 ,but smallness thus performs the function of equality or of greatness1 which is impossible4 ,again1 if the inherence be in a part1 the same contradiction follows3 smallness will be equal to the part or greater than the part2 therefore smallness will not inhere in anything1 and except the idea of smallness there will be nothing small4 ,neither will greatness2 for greatness will have a greater2--and there will be no small in relation to which it is great4 ,and there will be no great or small in objects1 but greatness and smallness will be relative only to each other2 therefore the others cannot be greater or less than the one2 also the one can neither exceed nor be exceeded by the others1 and they are therefore equal to one another4 ,and this will be true also of the one in relation to itself3 one will be equal to itself as well as to the others 7talla74 ,yet one1 being in itself1 must also be about itself1 containing and contained1 and is therefore greater and less than itself4 ,further1 there is nothing beside the one and the others2 and as these must be in something1 they must therefore be in one another2 and as that in which a thing is is greater than the thing1 the inference is that they are both greater and less than one another1 because containing and contained in one another4 ,therefore the one is equal to and greater and less than itself or other1 having also measures or parts or numbers equal to or greater or less than itself or other4 ,but does one partake of time8 ,this must be acknowledged1 if the one partakes of being4 ,for 'to be' is the participation of being in present time1 'to have been' in past1 'to be about to be' in future time4 ,and as time is ever moving forward1 the one becomes older than itself2 and therefore younger than itself2 and is older and also younger when in the process of becoming it arrives at the present2 and it is always older and younger1 for at any moment the one is1 and therefore it becomes and is not older and younger than itself but during an equal time with itself1 and is therefore contemporary with itself4 ,and what are the relations of the one to the others8 ,is it or does it become older or younger than they8 ,at any rate the others are more than one1 and one1 being the least of all numbers1 must be prior in time to greater numbers4 ,but on the other hand1 one must come into being in a manner accordant with its own nature4 ,now one has parts or others1 and has therefore a beginning1 middle1 and end1 of which the beginning is first and the end last4 ,and the parts come into existence first2 last of all the whole1 contemporaneously with the end1 being therefore younger1 while the parts or others are older than the one4 ,but1 again1 the one comes into being in each of the parts as much as in the whole1 and must be of the same age with them4 ,therefore one is at once older and younger than the parts or others1 and also contemporaneous with them1 for no part can be a part which is not one4 ,is this true of becoming as well as being8 ,thus much may be affirmed1 that the same things which are older or younger cannot become older or younger in a greater degree than they were at first by the addition of equal times4 ,but1 on the other hand1 the one1 if older than others1 has come into being a longer time than they have4 ,and when equal time is added to a longer and shorter1 the relative difference between them is diminished4 ,in this way that which was older becomes younger1 and that which was younger becomes older1 that is to say1 younger and older than at first2 and they ever become and never have become1 for then they would be4 ,thus the one and others always are and are becoming and not becoming younger and also older than one another4 ,and one1 partaking of time and also partaking of becoming older and younger1 admits of all time1 present1 past1 and future--was1 is1 shall be--was becoming1 is becoming1 will become4 ,and there is science of the one1 and opinion and name and expression1 as is already implied in the fact of our inquiry4 ,yet once more1 if one be one and many1 and neither one nor many1 and also participant of time1 must there not be a time at which one as being one partakes of being1 and a time when one as not being one is deprived of being8 ,but these two contradictory states cannot be experienced by the one both together3 there must be a time of transition4 ,and the transition is a process of generation and destruction1 into and from being and not-being1 the one and the others4 ,for the generation of the one is the destruction of the others1 and the generation of the others is the destruction of the one4 ,there is also separation and aggregation1 assimilation and dissimilation1 increase1 diminution1 equalization1 a passage from motion to rest1 and from rest to motion in the one and many4 ,but when do all these changes take place8 ,when does motion become rest1 or rest motion8 ,the answer to this question will throw a light upon all the others4 ,nothing can be in motion and at rest at the same time2 and therefore the change takes place 'in a moment'--which is a strange expression1 and seems to mean change in no time4 ,which is true also of all the other changes1 which likewise take place in no time4 #a4;aa4 ,but if one is1 what happens to the others1 which in the first place are not one1 yet may partake of one in a certain way8 ,the others are other than the one because they have parts1 for if they had no parts they would be simply one1 and parts imply a whole to which they belong2 otherwise each part would be a part of many1 and being itself one of them1 of itself1 and if a part of all1 of each one of the other parts1 which is absurd4 ,for a part1 if not a part of one1 must be a part of all but this one1 and if so not a part of each one2 and if not a part of each one1 not a part of any one of many1 and so not of one2 and if of none1 how of all8 ,therefore a part is neither a part of many nor of all1 but of an absolute and perfect whole or one4 ,and if the others have parts1 they must partake of the whole1 and must be the whole of which they are the parts4 ,and each part1 as the word 'each' implies1 is also an absolute one4 ,and both the whole and the parts partake of one1 for the whole of which the parts are parts is one1 and each part is one part of the whole2 and whole and parts as participating in one are other than one1 and as being other than one are many and infinite2 and however small a fraction you separate from them is many and not one4 ,yet the fact of their being parts furnishes the others with a limit towards other parts and towards the whole2 they are finite and also infinite3 finite through participation in the one1 infinite in their own nature4 ,and as being finite1 they are alike2 and as being infinite1 they are alike2 but as being both finite and also infinite1 they are in the highest degree unlike4 ,and all other opposites might without difficulty be shown to unite in them4 #a4;bb4 ,once more1 leaving all this3 ,is there not also an opposite series of consequences which is equally true of the others1 and may be deduced from the existence of one8 ,there is4 ,one is distinct from the others1 and the others from one2 for one and the others are all things1 and there is no third existence besides them4 ,and the whole of one cannot be in others nor parts of it1 for it is separated from others and has no parts1 and therefore the others have no unity1 nor plurality1 nor duality1 nor any other number1 nor any opposition or distinction1 such as likeness and unlikeness1 some and other1 generation and corruption1 odd and even4 ,for if they had these they would partake either of one opposite1 and this would be a participation in one2 or of two opposites1 and this would be a participation in two4 ,thus if one exists1 one is all things1 and likewise nothing1 in relation to one and to the others4 #b4;a4 ,but1 again1 assume the opposite hypothesis1 that the one is not1 and what is the consequence8 ,in the first place1 the proposition1 that one is not1 is clearly opposed to the proposition1 that not one is not4 ,the subject of any negative proposition implies at once knowledge and difference4 ,thus 'one' in the proposition--',the one is not1' must be something known1 or the words would be unintelligible2 and again this 'one which is not' is something different from other things4 ,moreover1 this and that1 some and other1 may be all attributed or related to the one which is not1 and which though non-existent may and must have plurality1 if the one only is non-existent and nothing else2 but if all is not-being there is nothing which can be spoken of4 ,also the one which is not differs1 and is different in kind from the others1 and therefore unlike them2 and they being other than the one1 are unlike the one1 which is therefore unlike them4 ,but one1 being unlike other1 must be like itself2 for the unlikeness of one to itself is the destruction of the hypothesis2 and one cannot be equal to the others2 for that would suppose being in the one1 and the others would be equal to one and like one2 both which are impossible1 if one does not exist4 ,the one which is not1 then1 if not equal is unequal to the others1 and in equality implies great and small1 and equality lies between great and small1 and therefore the one which is not partakes of equality4 ,further1 the one which is not has being2 for that which is true is1 and it is true that the one is not4 ,and so the one which is not1 if remitting aught of the being of non-existence1 would become existent4 ,for not being implies the being of not-being1 and being the not-being of not-being2 or more truly being partakes of the being of being and not of the being of not-being1 and not-being of the being of not-being and not of the not-being of not-being4 ,and therefore the one which is not has being and also not-being4 ,and the union of being and not-being involves change or motion4 ,but how can not-being1 which is nowhere1 move or change1 either from one place to another or in the same place8 ,and whether it is or is not1 it would cease to be one if experiencing a change of substance4 ,the one which is not1 then1 is both in motion and at rest1 is altered and unaltered1 and becomes and is destroyed1 and does not become and is not destroyed4 #b4;b4 ,once more1 let us ask the question1 ,if one is not1 what happens in regard to one8 ,the expression 'is not' implies negation of being3--do we mean by this to say that a thing1 which is not1 in a certain sense is8 or do we mean absolutely to deny being of it8 ,the latter4 ,then the one which is not can neither be nor become nor perish nor experience change of substance or place4 ,neither can rest1 or motion1 or greatness1 or smallness1 or equality1 or unlikeness1 or likeness either to itself or other1 or attribute or relation1 or now or hereafter or formerly1 or knowledge or opinion or perception or name or anything else be asserted of that which is not4 #b4;aa4 ,once more1 if one is not1 what becomes of the others8 ,if we speak of them they must be1 and their very name implies difference1 and difference implies relation1 not to the one1 which is not1 but to one another4 ,and they are others of each other not as units but as infinities1 the least of which is also infinity1 and capable of infinitesimal division4 ,and they will have no unity or number1 but only a semblance of unity and number2 and the least of them will appear large and manifold in comparison with the infinitesimal fractions into which it may be divided4 ,further1 each particle will have the appearance of being equal with the fractions4 ,for in passing from the greater to the less it must reach an intermediate point1 which is equality4 ,moreover1 each particle although having a limit in relation to itself and to other particles1 yet it has neither beginning1 middle1 nor end2 for there is always a beginning before the beginning1 and a middle within the middle1 and an end beyond the end1 because the infinitesimal division is never arrested by the one4 ,thus all being is one at a distance1 and broken up when near1 and like at a distance and unlike when near2 and also the particles which compose being seem to be like and unlike1 in rest and motion1 in generation and corruption1 in contact and separation1 if one is not4 #b4;bb4 ,once more1 let us inquire1 ,if the one is not1 and the others of the one are1 what follows8 ,in the first place1 the others will not be the one1 nor the many1 for in that case the one would be contained in them2 neither will they appear to be one or many2 because they have no communion or participation in that which is not1 nor semblance of that which is not4 ,if one is not1 the others neither are1 nor appear to be one or many1 like or unlike1 in contact or separation4 ,in short1 if one is not1 nothing is4 ,the result of all which is1 that whether one is or is not1 one and the others1 in relation to themselves and to one another1 are and are not1 and appear to be and appear not to be1 in all manner of ways4 ,i4 ,on the first hypothesis we may remark3 first1 ,that one is one is an identical proposition1 from which we might expect that no further consequences could be deduced4 ,the train of consequences which follows1 is inferred by altering the predicate into 'not many4' ,yet1 perhaps1 if a strict ,eristic had been present1 oios aner ei kai nun paren1 he might have affirmed that the not many presented a different aspect of the conception from the one1 and was therefore not identical with it4 ,such a subtlety would be very much in character with the ,zenonian dialectic4 ,secondly1 ,we may note1 that the conclusion is really involved in the premises4 ,for one is conceived as one1 in a sense which excludes all predicates4 ,when the meaning of one has been reduced to a point1 there is no use in saying that it has neither parts nor magnitude4 ,thirdly1 ,the conception of the same is1 first of all1 identified with the one2 and then by a further analysis distinguished from1 and even opposed to it4 ,fourthly1 ,we may detect notions1 which have reappeared in modern philosophy1 e4g4 the bare abstraction of undefined unity1 answering to the ,hegelian ',seyn1' or the identity of contradictions 'that which is older is also younger1' etc41 or the ,kantian conception of an a priori synthetical proposition 'one is4' ,,ii4 ,in the first series of propositions the word 'is' is really the copula2 in the second1 the verb of existence4 ,as in the first series1 the negative consequence followed from one being affirmed to be equivalent to the not many2 so here the affirmative consequence is deduced from one being equivalent to the many4 ,in the former case1 nothing could be predicated of the one1 but now everything--multitude1 relation1 place1 time1 transition4 ,one is regarded in all the aspects of one1 and with a reference to all the consequences which flow1 either from the combination or the separation of them4 ,the notion of transition involves the singular extra-temporal conception of 'suddenness4' ,this idea of 'suddenness' is based upon the contradiction which is involved in supposing that anything can be in two places at once4 ,it is a mere fiction2 and we may observe that similar antinomies have led modern philosophers to deny the reality of time and space4 ,it is not the infinitesimal of time1 but the negative of time4 ,by the help of this invention the conception of change1 which sorely exercised the minds of early thinkers1 seems to be1 but is not really at all explained4 ,the difficulty arises out of the imperfection of language1 and should therefore be no longer regarded as a difficulty at all4 ,the only way of meeting it1 if it exists1 is to acknowledge that this rather puzzling double conception is necessary to the expression of the phenomena of motion or change1 and that this and similar double notions1 instead of being anomalies1 are among the higher and more potent instruments of human thought4 ,the processes by which ,parmenides obtains his remarkable results may be summed up as follows3 7#a7 ,compound or correlative ideas which involve each other1 such as1 being and not-being1 one and many1 are conceived sometimes in a state of composition1 and sometimes of division3 7#b7 ,the division or distinction is sometimes heightened into total opposition1 e4g4 between one and same1 one and other3 or 7#c7 ,the idea1 which has been already divided1 is regarded1 like a number1 as capable of further infinite subdivision3 7#d7 ,the argument often proceeds 'a dicto secundum quid ad dictum simpliciter' and conversely3 7#e7 ,the analogy of opposites is misused by him2 he argues indiscriminately sometimes from what is like1 sometimes from what is unlike in them3 7#f7 ,the idea of being or not-being is identified with existence or non-existence in place or time3 7#g7 ,the same ideas are regarded sometimes as in process of transition1 sometimes as alternatives or opposites3 7#h7 ,there are no degrees or kinds of sameness1 likeness1 difference1 nor any adequate conception of motion or change3 7#i7 ,one1 being1 time1 like space in ,zeno's puzzle of ,achilles and the tortoise1 are regarded sometimes as continuous and sometimes as discrete3 7#aj7 ,in some parts of the argument the abstraction is so rarefied as to become not only fallacious1 but almost unintelligible1 e4g4 in the contradiction which is elicited out of the relative terms older and younger3 7#aa7 ,the relation between two terms is regarded under contradictory aspects1 as for example when the existence of the one and the non-existence of the one are equally assumed to involve the existence of the many3 7#ab7 ,words are used through long chains of argument1 sometimes loosely1 sometimes with the precision of numbers or of geometrical figures4 ,the argument is a very curious piece of work1 unique in literature4 ,it seems to be an exposition or rather a 'reductio ad absurdum' of the ,megarian philosophy1 but we are too imperfectly acquainted with this last to speak with confidence about it4 ,it would be safer to say that it is an indication of the sceptical1 hyperlogical fancies which prevailed among the contemporaries of ,socrates4 ,it throws an indistinct light upon ,aristotle1 and makes us aware of the debt which the world owes to him or his school4 ,it also bears a resemblance to some modern speculations1 in which an attempt is made to narrow language in such a manner that number and figure may be made a calculus of thought4 ,it exaggerates one side of logic and forgets the rest4 ,it has the appearance of a mathematical process2 the inventor of it delights1 as mathematicians do1 in eliciting or discovering an unexpected result4 ,it also helps to guard us against some fallacies by showing the consequences which flow from them4 ,in the ,parmenides we seem to breathe the spirit of the ,megarian philosophy1 though we cannot compare the two in detail4 ,but ,plato also goes beyond his ,megarian contemporaries2 he has split their straws over again1 and admitted more than they would have desired4 ,he is indulging the analytical tendencies of his age1 which can divide but not combine4 ,and he does not stop to inquire whether the distinctions which he makes are shadowy and fallacious1 but 'whither the argument blows' he follows4 ,,iii4 ,the negative series of propositions contains the first conception of the negation of a negation4 ,two minus signs in arithmetic or algebra make a plus4 ,two negatives destroy each other4 ,this abstruse notion is the foundation of the ,hegelian logic4 ,the mind must not only admit that determination is negation1 but must get through negation into affirmation4 ,whether this process is real1 or in any way an assistance to thought1 or1 like some other logical forms1 a mere figure of speech transferred from the sphere of mathematics1 may be doubted4 ,that ,plato and the most subtle philosopher of the nineteenth century should have lighted upon the same notion1 is a singular coincidence of ancient and modern thought4 ,,iv4 ,the one and the many or others are reduced to their strictest arithmetical meaning4 ,that one is three or three one1 is a proposition which has1 perhaps1 given rise to more controversy in the world than any other4 ,but no one has ever meant to say that three and one are to be taken in the same sense4 ,whereas the one and many of the ,parmenides have precisely the same meaning2 there is no notion of one personality or substance having many attributes or qualities4 ,the truth seems to be rather the opposite of that which ,socrates implies3 ,there is no contradiction in the concrete1 but in the abstract2 and the more abstract the idea1 the more palpable will be the contradiction4 ,for just as nothing can persuade us that the number one is the number three1 so neither can we be persuaded that any abstract idea is identical with its opposite1 although they may both inhere together in some external object1 or some more comprehensive conception4 ,ideas1 persons1 things may be one in one sense and many in another1 and may have various degrees of unity and plurality4 ,but in whatever sense and in whatever degree they are one they cease to be many2 and in whatever degree or sense they are many they cease to be one4 ,two points remain to be considered3 #ast1 the connexion between the first and second parts of the dialogue2 #bndly1 the relation of the ,parmenides to the other dialogues4 ,i4 ,in both divisions of the dialogue the principal speaker is the same1 and the method pursued by him is also the same1 being a criticism on received opinions3 first1 on the doctrine of ,ideas2 secondly1 of ,being4 ,from the ,platonic ,ideas we naturally proceed to the ,eleatic ,one or ,being which is the foundation of them4 ,they are the same philosophy in two forms1 and the simpler form is the truer and deeper4 ,for the ,platonic ,ideas are mere numerical differences1 and the moment we attempt to distinguish between them1 their transcendental character is lost2 ideas of justice1 temperance1 and good1 are really distinguishable only with reference to their application in the world4 ,if we once ask how they are related to individuals or to the ideas of the divine mind1 they are again merged in the aboriginal notion of ,being4 ,no one can answer the questions which ,parmenides asks of ,socrates4 ,and yet these questions are asked with the express acknowledgment that the denial of ideas will be the destruction of the human mind4 ,the true answer to the difficulty here thrown out is the establishment of a rational psychology2 and this is a work which is commenced in the ,sophist4 ,plato1 in urging the difficulty of his own doctrine of ,ideas1 is far from denying that some doctrine of ,ideas is necessary1 and for this he is paving the way4 ,in a similar spirit he criticizes the ,eleatic doctrine of ,being1 not intending to deny ,ontology1 but showing that the old ,eleatic notion1 and the very name ',being1' is unable to maintain itself against the subtleties of the ,megarians4 ,he did not mean to say that ,being or ,substance had no existence1 but he is preparing for the development of his later view1 that ideas were capable of relation4 ,the fact that contradictory consequences follow from the existence or non-existence of one or many1 does not prove that they have or have not existence1 but rather that some different mode of conceiving them is required4 ,parmenides may still have thought that ',being was1' just as ,kant would have asserted the existence of 'things in themselves1' while denying the transcendental use of the ,categories4 ,several lesser links also connect the first and second parts of the dialogue3 7#a7 ,the thesis is the same as that which ,zeno has been already discussing3 7#b7 ,parmenides has intimated in the first part1 that the method of ,zeno should1 as ,socrates desired1 be extended to ,ideas3 7#c7 ,the difficulty of participating in greatness1 smallness1 equality is urged against the ,ideas as well as against the ,one4 ,,ii4 ,the ,parmenides is not only a criticism of the ,eleatic notion of ,being1 but also of the methods of reasoning then in existence1 and in this point of view1 as well as in the other1 may be regarded as an introduction to the ,sophist4 ,long ago1 in the ,euthydemus1 the vulgar application of the 'both and neither' ,eristic had been subjected to a similar criticism1 which there takes the form of banter and irony1 here of illustration4 ,the attack upon the ,ideas is resumed in the ,philebus1 and is followed by a return to a more rational philosophy4 ,the perplexity of the ,one and ,many is there confined to the region of ,ideas1 and replaced by a theory of classification2 the ,good arranged in classes is also contrasted with the barren abstraction of the ,megarians4 ,the war is carried on against the ,eristics in all the later dialogues1 sometimes with a playful irony1 at other times with a sort of contempt4 ,but there is no lengthened refutation of them4 ,the ,parmenides belongs to that stage of the dialogues of ,plato in which he is partially under their influence1 using them as a sort of 'critics or diviners' of the truth of his own1 and of the ,eleatic theories4 ,in the ,theaetetus a similar negative dialectic is employed in the attempt to define science1 which after every effort remains undefined still4 ,the same question is revived from the objective side in the ,sophist3 ,being and ,not-being are no longer exhibited in opposition1 but are now reconciled2 and the true nature of ,not-being is discovered and made the basis of the correlation of ideas4 ,some links are probably missing which might have been supplied if we had trustworthy accounts of ,plato's oral teaching4 ,to sum up3 the ,parmenides of ,plato is a critique1 first1 of the ,platonic ,ideas1 and secondly1 of the ,eleatic doctrine of ,being4 ,neither are absolutely denied4 ,but certain difficulties and consequences are shown in the assumption of either1 which prove that the ,platonic as well as the ,eleatic doctrine must be remodelled4 ,the negation and contradiction which are involved in the conception of the ,one and ,many are preliminary to their final adjustment4 ,the ,platonic ,ideas are tested by the interrogative method of ,socrates2 the ,eleatic ,one or ,being is tried by the severer and perhaps impossible method of hypothetical consequences1 negative and affirmative4 ,in the latter we have an example of the ,zenonian or ,megarian dialectic1 which proceeded1 not 'by assailing premises1 but conclusions'2 this is worked out and improved by ,plato4 ,when primary abstractions are used in every conceivable sense1 any or every conclusion may be deduced from them4 ,the words 'one1' 'other1' 'being1' 'like1' 'same1' 'whole1' and their opposites1 have slightly different meanings1 as they are applied to objects of thought or objects of sense--to number1 time1 place1 and to the higher ideas of the reason2--and out of their different meanings this 'feast' of contradictions 'has been provided4' 444 ,the ,parmenides of ,plato belongs to a stage of philosophy which has passed away4 ,at first we read it with a purely antiquarian or historical interest2 and with difficulty throw ourselves back into a state of the human mind in which ,unity and ,being occupied the attention of philosophers4 ,we admire the precision of the language1 in which1 as in some curious puzzle1 each word is exactly fitted into every other1 and long trains of argument are carried out with a sort of geometrical accuracy4 ,we doubt whether any abstract notion could stand the searching cross-examination of ,parmenides2 and may at last perhaps arrive at the conclusion that ,plato has been using an imaginary method to work out an unmeaning conclusion4 ,but the truth is1 that he is carrying on a process which is not either useless or unnecessary in any age of philosophy4 ,we fail to understand him1 because we do not realize that the questions which he is discussing could have had any value or importance4 ,we suppose them to be like the speculations of some of the ,schoolmen1 which end in nothing4 ,but in truth he is trying to get rid of the stumbling-blocks of thought which beset his contemporaries4 ,seeing that the ,megarians and ,cynics were making knowledge impossible1 he takes their 'catch-words' and analyzes them from every conceivable point of view4 ,he is criticizing the simplest and most general of our ideas1 in which1 as they are the most comprehensive1 the danger of error is the most serious2 for1 if they remain unexamined1 as in a mathematical demonstration1 all that flows from them is affected1 and the error pervades knowledge far and wide4 ,in the beginning of philosophy this correction of human ideas was even more necessary than in our own times1 because they were more bound up with words2 and words when once presented to the mind exercised a greater power over thought4 ,there is a natural realism which says1 ',can there be a word devoid of meaning1 or an idea which is an idea of nothing8' ,in modern times mankind have often given too great importance to a word or idea4 ,the philosophy of the ancients was still more in slavery to them1 because they had not the experience of error1 which would have placed them above the illusion4 ,the method of the ,parmenides may be compared with the process of purgation1 which ,bacon sought to introduce into philosophy4 ,plato is warning us against two sorts of ',idols of the ,den'3 first1 his own ,ideas1 which he himself having created is unable to connect in any way with the external world2 secondly1 against two idols in particular1 ',unity' and ',being1' which had grown up in the pre-,socratic philosophy1 and were still standing in the way of all progress and development of thought4 ,he does not say with ,bacon1 ',let us make truth by experiment1' or ',from these vague and inexact notions let us turn to facts4' ,the time has not yet arrived for a purely inductive philosophy4 ,the instruments of thought must first be forged1 that they may be used hereafter by modern inquirers4 ,how1 while mankind were disputing about universals1 could they classify phenomena8 ,how could they investigate causes1 when they had not as yet learned to distinguish between a cause and an end8 ,how could they make any progress in the sciences without first arranging them8 ,these are the deficiencies which ,plato is seeking to supply in an age when knowledge was a shadow of a name only4 ,in the earlier dialogues the ,socratic conception of universals is illustrated by his genius2 in the ,phaedrus the nature of division is explained2 in the ,republic the law of contradiction and the unity of knowledge are asserted2 in the later dialogues he is constantly engaged both with the theory and practice of classification4 ,these were the 'new weapons1' as he terms them in the ,philebus1 which he was preparing for the use of some who1 in after ages1 would be found ready enough to disown their obligations to the great master1 or rather1 perhaps1 would be incapable of understanding them4 ,numberless fallacies1 as we are often truly told1 have originated in a confusion of the 'copula1' and the 'verb of existence4' ,would not the distinction which ,plato by the mouth of ,parmenides makes between ',one is one' and ',one has being' have saved us from this and many similar confusions8 ,we see again that a long period in the history of philosophy was a barren tract1 not uncultivated1 but unfruitful1 because there was no inquiry into the relation of language and thought1 and the metaphysical imagination was incapable of supplying the missing link between words and things4 ,the famous dispute between ,nominalists and ,realists would never have been heard of1 if1 instead of transferring the ,platonic ,ideas into a crude ,latin phraseology1 the spirit of ,plato had been truly understood and appreciated4 ,upon the term substance at least two celebrated theological controversies appear to hinge1 which would not have existed1 or at least not in their present form1 if we had 'interrogated' the word substance1 as ,plato has the notions of ,unity and ,being4 ,these weeds of philosophy have struck their roots deep into the soil1 and are always tending to reappear1 sometimes in new-fangled forms2 while similar words1 such as development1 evolution1 law1 and the like1 are constantly put in the place of facts1 even by writers who profess to base truth entirely upon fact4 ,in an unmetaphysical age there is probably more metaphysics in the common sense 7i4e4 more a priori assumption7 than in any other1 because there is more complete unconsciousness that we are resting on our own ideas1 while we please ourselves with the conviction that we are resting on facts4 ,we do not consider how much metaphysics are required to place us above metaphysics1 or how difficult it is to prevent the forms of expression which are ready made for our use from outrunning actual observation and experiment4 ,in the last century the educated world were astonished to find that the whole fabric of their ideas was falling to pieces1 because ,hume amused himself by analyzing the word 'cause' into uniform sequence4 ,then arose a philosophy which1 equally regardless of the history of the mind1 sought to save mankind from scepticism by assigning to our notions of 'cause and effect1' 'substance and accident1' 'whole and part1' a necessary place in human thought4 ,without them we could have no experience1 and therefore they were supposed to be prior to experience--to be incrusted on the ',i'2 although in the phraseology of ,kant there could be no transcendental use of them1 or1 in other words1 they were only applicable within the range of our knowledge4 ,but into the origin of these ideas1 which he obtains partly by an analysis of the proposition1 partly by development of the 'ego1' he never inquires--they seem to him to have a necessary existence2 nor does he attempt to analyse the various senses in which the word 'cause' or 'substance' may be employed4 ,the philosophy of ,berkeley could never have had any meaning1 even to himself1 if he had first analyzed from every point of view the conception of 'matter4' ,this poor forgotten word 7which was 'a very good word' to describe the simplest generalization of external objects7 is now superseded in the vocabulary of physical philosophers by 'force1' which seems to be accepted without any rigid examination of its meaning1 as if the general idea of 'force' in our minds furnished an explanation of the infinite variety of forces which exist in the universe4 ,a similar ambiguity occurs in the use of the favourite word 'law1' which is sometimes regarded as a mere abstraction1 and then elevated into a real power or entity1 almost taking the place of ,god4 ,theology1 again1 is full of undefined terms which have distracted the human mind for ages4 ,mankind have reasoned from them1 but not to them2 they have drawn out the conclusions without proving the premises2 they have asserted the premises without examining the terms4 ,the passions of religious parties have been roused to the utmost about words of which they could have given no explanation1 and which had really no distinct meaning4 ,one sort of them1 faith1 grace1 justification1 have been the symbols of one class of disputes2 as the words substance1 nature1 person1 of another1 revelation1 inspiration1 and the like1 of a third4 ,all of them have been the subject of endless reasonings and inferences2 but a spell has hung over the minds of theologians or philosophers which has prevented them from examining the words themselves4 ,either the effort to rise above and beyond their own first ideas was too great for them1 or there might1 perhaps1 have seemed to be an irreverence in doing so4 ,about the ,divine ,being ,himself1 in whom all true theological ideas live and move1 men have spoken and reasoned much1 and have fancied that they instinctively know ,him4 ,but they hardly suspect that under the name of ,god even ,christians have included two characters or natures as much opposed as the good and evil principle of the ,persians4 ,to have the true use of words we must compare them with things2 in using them we acknowledge that they seldom give a perfect representation of our meaning4 ,in like manner when we interrogate our ideas we find that we are not using them always in the sense which we supposed4 ,and ,plato1 while he criticizes the inconsistency of his own doctrine of universals and draws out the endless consequences which flow from the assertion either that ',being is' or that ',being is not1' by no means intends to deny the existence of universals or the unity under which they are comprehended4 ,there is nothing further from his thoughts than scepticism4 ,but before proceeding he must examine the foundations which he and others have been laying2 there is nothing true which is not from some point of view untrue1 nothing absolute which is not also relative 7compare ,republic74 ,and so1 in modern times1 because we are called upon to analyze our ideas and to come to a distinct understanding about the meaning of words2 because we know that the powers of language are very unequal to the subtlety of nature or of mind1 we do not therefore renounce the use of them2 but we replace them in their old connexion1 having first tested their meaning and quality1 and having corrected the error which is involved in them2 or rather always remembering to make allowance for the adulteration or alloy which they contain4 ,we cannot call a new metaphysical world into existence any more than we can frame a new universal language2 in thought as in speech1 we are dependent on the past4 ,we know that the words 'cause' and 'effect' are very far from representing to us the continuity or the complexity of nature or the different modes or degrees in which phenomena are connected4 ,yet we accept them as the best expression which we have of the correlation of forces or objects4 ,we see that the term 'law' is a mere abstraction1 under which laws of matter and of mind1 the law of nature and the law of the land are included1 and some of these uses of the word are confusing1 because they introduce into one sphere of thought associations which belong to another2 for example1 order or sequence is apt to be confounded with external compulsion and the internal workings of the mind with their material antecedents4 ,yet none of them can be dispensed with2 we can only be on our guard against the error or confusion which arises out of them4 ,thus in the use of the word 'substance' we are far from supposing that there is any mysterious substratum apart from the objects which we see1 and we acknowledge that the negative notion is very likely to become a positive one4 ,still we retain the word as a convenient generalization1 though not without a double sense1 substance1 and essence1 derived from the two-fold translation of the ,greek ousia4 ,so the human mind makes the reflection that ,god is not a person like ourselves--is not a cause like the material causes in nature1 nor even an intelligent cause like a human agent--nor an individual1 for ,he is universal2 and that every possible conception which we can form of ,him is limited by the human faculties4 ,we cannot by any effort of thought or exertion of faith be in and out of our own minds at the same instant4 ,how can we conceive ,him under the forms of time and space1 who is out of time and space8 ,how get rid of such forms and see ,him as ,he is8 ,how can we imagine ,his relation to the world or to ourselves8 ,innumerable contradictions follow from either of the two alternatives1 that ,god is or that ,he is not4 ,yet we are far from saying that we know nothing of ,him1 because all that we know is subject to the conditions of human thought4 ,to the old belief in ,him we return1 but with corrections4 ,he is a person1 but not like ourselves2 a mind1 but not a human mind2 a cause1 but not a material cause1 nor yet a maker or artificer4 ,the words which we use are imperfect expressions of ,his true nature2 but we do not therefore lose faith in what is best and highest in ourselves and in the world4 ',a little philosophy takes us away from ,god2 a great deal brings us back to ,him4' ,when we begin to reflect1 our first thoughts respecting ,him and ourselves are apt to be sceptical4 ,for we can analyze our religious as well as our other ideas2 we can trace their history2 we can criticize their perversion2 we see that they are relative to the human mind and to one another4 ,but when we have carried our criticism to the furthest point1 they still remain1 a necessity of our moral nature1 better known and understood by us1 and less liable to be shaken1 because we are more aware of their necessary imperfection4 ,they come to us with 'better opinion1 better confirmation1' not merely as the inspirations either of ourselves or of another1 but deeply rooted in history and in the human mind4 ,,parmenides ,,persons ,,of ,,the ,,dialogue3 ,cephalus1 ,adeimantus1 ,glaucon1 ,antiphon1 ,pythodorus1 ,socrates1 ,zeno1 ,parmenides1 ,aristoteles4 ,cephalus rehearses a dialogue which is supposed to have been narrated in his presence by ,antiphon1 the half-brother of ,adeimantus and ,glaucon1 to certain ,clazomenians4 ,we had come from our home at ,clazomenae to ,athens1 and met ,adeimantus and ,glaucon in the ,agora4 ,welcome1 ,cephalus1 said ,adeimantus1 taking me by the hand2 is there anything which we can do for you in ,athens8 ,yes2 that is why ,i am here2 ,i wish to ask a favour of you4 ,what may that be8 he said4 ,i want you to tell me the name of your half brother1 which ,i have forgotten2 he was a mere child when ,i last came hither from ,clazomenae1 but that was a long time ago2 his father's name1 if ,i remember rightly1 was ,pyrilampes8 ,yes1 he said1 and the name of our brother1 ,antiphon2 but why do you ask8 ,let me introduce some countrymen of mine1 ,i said2 they are lovers of philosophy1 and have heard that ,antiphon was intimate with a certain ,pythodorus1 a friend of ,zeno1 and remembers a conversation which took place between ,socrates1 ,zeno1 and ,parmenides many years ago1 ,pythodorus having often recited it to him4 ,quite true4 ,and could we hear it8 ,i asked4 ,nothing easier1 he replied2 when he was a youth he made a careful study of the piece2 at present his thoughts run in another direction2 like his grandfather ,antiphon he is devoted to horses4 ,but1 if that is what you want1 let us go and look for him2 he dwells at ,melita1 which is quite near1 and he has only just left us to go home4 ,accordingly we went to look for him2 he was at home1 and in the act of giving a bridle to a smith to be fitted4 ,when he had done with the smith1 his brothers told him the purpose of our visit2 and he saluted me as an acquaintance whom he remembered from my former visit1 and we asked him to repeat the dialogue4 ,at first he was not very willing1 and complained of the trouble1 but at length he consented4 ,he told us that ,pythodorus had described to him the appearance of ,parmenides and ,zeno2 they came to ,athens1 as he said1 at the great ,panathenaea2 the former was1 at the time of his visit1 about #fe years old1 very white with age1 but well favoured4 ,zeno was nearly #dj years of age1 tall and fair to look upon2 in the days of his youth he was reported to have been beloved by ,parmenides4 ,he said that they lodged with ,pythodorus in the ,ceramicus1 outside the wall1 whither ,socrates1 then a very young man1 came to see them1 and many others with him2 they wanted to hear the writings of ,zeno1 which had been brought to ,athens for the first time on the occasion of their visit4 ,these ,zeno himself read to them in the absence of ,parmenides1 and had very nearly finished when ,pythodorus entered1 and with him ,parmenides and ,aristoteles who was afterwards one of the ,thirty1 and heard the little that remained of the dialogue4 ,pythodorus had heard ,zeno repeat them before4 ,when the recitation was completed1 ,socrates requested that the first thesis of the first argument might be read over again1 and this having been done1 he said3 ,what is your meaning1 ,zeno8 ,do you maintain that if being is many1 it must be both like and unlike1 and that this is impossible1 for neither can the like be unlike1 nor the unlike like--is that your position8 ,just so1 said ,zeno4 ,and if the unlike cannot be like1 or the like unlike1 then according to you1 being could not be many2 for this would involve an impossibility4 ,in all that you say have you any other purpose except to disprove the being of the many8 and is not each division of your treatise intended to furnish a separate proof of this1 there being in all as many proofs of the not-being of the many as you have composed arguments8 ,is that your meaning1 or have ,i misunderstood you8 ,no1 said ,zeno2 you have correctly understood my general purpose4 ,i see1 ,parmenides1 said ,socrates1 that ,zeno would like to be not only one with you in friendship but your second self in his writings too2 he puts what you say in another way1 and would fain make believe that he is telling us something which is new4 ,for you1 in your poems1 say ,the ,all is one1 and of this you adduce excellent proofs2 and he on the other hand says ,there is no many2 and on behalf of this he offers overwhelming evidence4 ,you affirm unity1 he denies plurality4 ,and so you deceive the world into believing that you are saying different things when really you are saying much the same4 ,this is a strain of art beyond the reach of most of us4 ,yes1 ,socrates1 said ,zeno4 ,but although you are as keen as a ,spartan hound in pursuing the track1 you do not fully apprehend the true motive of the composition1 which is not really such an artificial work as you imagine2 for what you speak of was an accident2 there was no pretence of a great purpose2 nor any serious intention of deceiving the world4 ,the truth is1 that these writings of mine were meant to protect the arguments of ,parmenides against those who make fun of him and seek to show the many ridiculous and contradictory results which they suppose to follow from the affirmation of the one4 ,my answer is addressed to the partisans of the many1 whose attack ,i return with interest by retorting upon them that their hypothesis of the being of many1 if carried out1 appears to be still more ridiculous than the hypothesis of the being of one4 ,zeal for my master led me to write the book in the days of my youth1 but some one stole the copy2 and therefore ,i had no choice whether it should be published or not2 the motive1 however1 of writing1 was not the ambition of an elder man1 but the pugnacity of a young one4 ,this you do not seem to see1 ,socrates2 though in other respects1 as ,i was saying1 your notion is a very just one4 ,i understand1 said ,socrates1 and quite accept your account4 ,but tell me1 ,zeno1 do you not further think that there is an idea of likeness in itself1 and another idea of unlikeness1 which is the opposite of likeness1 and that in these two1 you and ,i and all other things to which we apply the term many1 participate--things which participate in likeness become in that degree and manner like2 and so far as they participate in unlikeness become in that degree unlike1 or both like and unlike in the degree in which they participate in both8 ,and may not all things partake of both opposites1 and be both like and unlike1 by reason of this participation8--,where is the wonder8 ,now if a person could prove the absolute like to become unlike1 or the absolute unlike to become like1 that1 in my opinion1 would indeed be a wonder2 but there is nothing extraordinary1 ,zeno1 in showing that the things which only partake of likeness and unlikeness experience both4 ,nor1 again1 if a person were to show that all is one by partaking of one1 and at the same time many by partaking of many1 would that be very astonishing4 ,but if he were to show me that the absolute one was many1 or the absolute many one1 ,i should be truly amazed4 ,and so of all the rest3 ,i should be surprised to hear that the natures or ideas themselves had these opposite qualities2 but not if a person wanted to prove of me that ,i was many and also one4 ,when he wanted to show that ,i was many he would say that ,i have a right and a left side1 and a front and a back1 and an upper and a lower half1 for ,i cannot deny that ,i partake of multitude2 when1 on the other hand1 he wants to prove that ,i am one1 he will say1 that we who are here assembled are seven1 and that ,i am one and partake of the one4 ,in both instances he proves his case4 ,so again1 if a person shows that such things as wood1 stones1 and the like1 being many are also one1 we admit that he shows the coexistence of the one and many1 but he does not show that the many are one or the one many2 he is uttering not a paradox but a truism4 ,if however1 as ,i just now suggested1 some one were to abstract simple notions of like1 unlike1 one1 many1 rest1 motion1 and similar ideas1 and then to show that these admit of admixture and separation in themselves1 ,i should be very much astonished4 ,this part of the argument appears to be treated by you1 ,zeno1 in a very spirited manner2 but1 as ,i was saying1 ,i should be far more amazed if any one found in the ideas themselves which are apprehended by reason1 the same puzzle and entanglement which you have shown to exist in visible objects4 ,while ,socrates was speaking1 ,pythodorus thought that ,parmenides and ,zeno were not altogether pleased at the successive steps of the argument2 but still they gave the closest attention1 and often looked at one another1 and smiled as if in admiration of him4 ,when he had finished1 ,parmenides expressed their feelings in the following words3-- ,socrates1 he said1 ,i admire the bent of your mind towards philosophy2 tell me now1 was this your own distinction between ideas in themselves and the things which partake of them8 and do you think that there is an idea of likeness apart from the likeness which we possess1 and of the one and many1 and of the other things which ,zeno mentioned8 ,i think that there are such ideas1 said ,socrates4 ,parmenides proceeded3 ,and would you also make absolute ideas of the just and the beautiful and the good1 and of all that class8 ,yes1 he said1 ,i should4 ,and would you make an idea of man apart from us and from all other human creatures1 or of fire and water8 ,i am often undecided1 ,parmenides1 as to whether ,i ought to include them or not4 ,and would you feel equally undecided1 ,socrates1 about things of which the mention may provoke a smile8--,i mean such things as hair1 mud1 dirt1 or anything else which is vile and paltry2 would you suppose that each of these has an idea distinct from the actual objects with which we come into contact1 or not8 ,certainly not1 said ,socrates2 visible things like these are such as they appear to us1 and ,i am afraid that there would be an absurdity in assuming any idea of them1 although ,i sometimes get disturbed1 and begin to think that there is nothing without an idea2 but then again1 when ,i have taken up this position1 ,i run away1 because ,i am afraid that ,i may fall into a bottomless pit of nonsense1 and perish2 and so ,i return to the ideas of which ,i was just now speaking1 and occupy myself with them4 ,yes1 ,socrates1 said ,parmenides2 that is because you are still young2 the time will come1 if ,i am not mistaken1 when philosophy will have a firmer grasp of you1 and then you will not despise even the meanest things2 at your age1 you are too much disposed to regard the opinions of men4 ,but ,i should like to know whether you mean that there are certain ideas of which all other things partake1 and from which they derive their names2 that similars1 for example1 become similar1 because they partake of similarity2 and great things become great1 because they partake of greatness2 and that just and beautiful things become just and beautiful1 because they partake of justice and beauty8 ,yes1 certainly1 said ,socrates that is my meaning4 ,then each individual partakes either of the whole of the idea or else of a part of the idea8 ,can there be any other mode of participation8 ,there cannot be1 he said4 ,then do you think that the whole idea is one1 and yet1 being one1 is in each one of the many8 ,why not1 ,parmenides8 said ,socrates4 ,because one and the same thing will exist as a whole at the same time in many separate individuals1 and will therefore be in a state of separation from itself4 ,nay1 but the idea may be like the day which is one and the same in many places at once1 and yet continuous with itself2 in this way each idea may be one and the same in all at the same time4 ,i like your way1 ,socrates1 of making one in many places at once4 ,you mean to say1 that if ,i were to spread out a sail and cover a number of men1 there would be one whole including many--is not that your meaning8 ,i think so4 ,and would you say that the whole sail includes each man1 or a part of it only1 and different parts different men8 ,the latter4 ,then1 ,socrates1 the ideas themselves will be divisible1 and things which participate in them will have a part of them only and not the whole idea existing in each of them8 ,that seems to follow4 ,then would you like to say1 ,socrates1 that the one idea is really divisible and yet remains one8 ,certainly not1 he said4 ,suppose that you divide absolute greatness1 and that of the many great things1 each one is great in virtue of a portion of greatness less than absolute greatness--is that conceivable8 ,no4 ,or will each equal thing1 if possessing some small portion of equality less than absolute equality1 be equal to some other thing by virtue of that portion only8 ,impossible4 ,or suppose one of us to have a portion of smallness2 this is but a part of the small1 and therefore the absolutely small is greater2 if the absolutely small be greater1 that to which the part of the small is added will be smaller and not greater than before4 ,how absurd6 ,then in what way1 ,socrates1 will all things participate in the ideas1 if they are unable to participate in them either as parts or wholes8 ,indeed1 he said1 you have asked a question which is not easily answered4 ,well1 said ,parmenides1 and what do you say of another question8 ,what question8 ,i imagine that the way in which you are led to assume one idea of each kind is as follows3--,you see a number of great objects1 and when you look at them there seems to you to be one and the same idea 7or nature7 in them all2 hence you conceive of greatness as one4 ,very true1 said ,socrates4 ,and if you go on and allow your mind in like manner to embrace in one view the idea of greatness and of great things which are not the idea1 and to compare them1 will not another greatness arise1 which will appear to be the source of all these8 ,it would seem so4 ,then another idea of greatness now comes into view over and above absolute greatness1 and the individuals which partake of it2 and then another1 over and above all these1 by virtue of which they will all be great1 and so each idea instead of being one will be infinitely multiplied4 ,but may not the ideas1 asked ,socrates1 be thoughts only1 and have no proper existence except in our minds1 ,parmenides8 ,for in that case each idea may still be one1 and not experience this infinite multiplication4 ,and can there be individual thoughts which are thoughts of nothing8 ,impossible1 he said4 ,the thought must be of something8 ,yes4 ,of something which is or which is not8 ,of something which is4 ,must it not be of a single something1 which the thought recognizes as attaching to all1 being a single form or nature8 ,yes4 ,and will not the something which is apprehended as one and the same in all1 be an idea8 ,from that1 again1 there is no escape4 ,then1 said ,parmenides1 if you say that everything else participates in the ideas1 must you not say either that everything is made up of thoughts1 and that all things think2 or that they are thoughts but have no thought8 ,the latter view1 ,parmenides1 is no more rational than the previous one4 ,in my opinion1 the ideas are1 as it were1 patterns fixed in nature1 and other things are like them1 and resemblances of them--what is meant by the participation of other things in the ideas1 is really assimilation to them4 ,but if1 said he1 the individual is like the idea1 must not the idea also be like the individual1 in so far as the individual is a resemblance of the idea8 ,that which is like1 cannot be conceived of as other than the like of like4 ,impossible4 ,and when two things are alike1 must they not partake of the same idea8 ,they must4 ,and will not that of which the two partake1 and which makes them alike1 be the idea itself8 ,certainly4 ,then the idea cannot be like the individual1 or the individual like the idea2 for if they are alike1 some further idea of likeness will always be coming to light1 and if that be like anything else1 another2 and new ideas will be always arising1 if the idea resembles that which partakes of it8 ,quite true4 ,the theory1 then1 that other things participate in the ideas by resemblance1 has to be given up1 and some other mode of participation devised8 ,it would seem so4 ,do you see then1 ,socrates1 how great is the difficulty of affirming the ideas to be absolute8 ,yes1 indeed4 ,and1 further1 let me say that as yet you only understand a small part of the difficulty which is involved if you make of each thing a single idea1 parting it off from other things4 ,what difficulty8 he said4 ,there are many1 but the greatest of all is this3--,if an opponent argues that these ideas1 being such as we say they ought to be1 must remain unknown1 no one can prove to him that he is wrong1 unless he who denies their existence be a man of great ability and knowledge1 and is willing to follow a long and laborious demonstration2 he will remain unconvinced1 and still insist that they cannot be known4 ,what do you mean1 ,parmenides8 said ,socrates4 ,in the first place1 ,i think1 ,socrates1 that you1 or any one who maintains the existence of absolute essences1 will admit that they cannot exist in us4 ,no1 said ,socrates2 for then they would be no longer absolute4 ,true1 he said2 and therefore when ideas are what they are in relation to one another1 their essence is determined by a relation among themselves1 and has nothing to do with the resemblances1 or whatever they are to be termed1 which are in our sphere1 and from which we receive this or that name when we partake of them4 ,and the things which are within our sphere and have the same names with them1 are likewise only relative to one another1 and not to the ideas which have the same names with them1 but belong to themselves and not to them4 ,what do you mean8 said ,socrates4 ,i may illustrate my meaning in this way1 said ,parmenides3--,a master has a slave2 now there is nothing absolute in the relation between them1 which is simply a relation of one man to another4 ,but there is also an idea of mastership in the abstract1 which is relative to the idea of slavery in the abstract4 ,these natures have nothing to do with us1 nor we with them2 they are concerned with themselves only1 and we with ourselves4 ,do you see my meaning8 ,yes1 said ,socrates1 ,i quite see your meaning4 ,and will not knowledge--,i mean absolute knowledge--answer to absolute truth8 ,certainly4 ,and each kind of absolute knowledge will answer to each kind of absolute being8 ,yes4 ,but the knowledge which we have1 will answer to the truth which we have2 and again1 each kind of knowledge which we have1 will be a knowledge of each kind of being which we have8 ,certainly4 ,but the ideas themselves1 as you admit1 we have not1 and cannot have8 ,no1 we cannot4 ,and the absolute natures or kinds are known severally by the absolute idea of knowledge8 ,yes4 ,and we have not got the idea of knowledge8 ,no4 ,then none of the ideas are known to us1 because we have no share in absolute knowledge8 ,i suppose not4 ,then the nature of the beautiful in itself1 and of the good in itself1 and all other ideas which we suppose to exist absolutely1 are unknown to us8 ,it would seem so4 ,i think that there is a stranger consequence still4 ,what is it8 ,would you1 or would you not say1 that absolute knowledge1 if there is such a thing1 must be a far more exact knowledge than our knowledge2 and the same of beauty and of the rest8 ,yes4 ,and if there be such a thing as participation in absolute knowledge1 no one is more likely than ,god to have this most exact knowledge8 ,certainly4 ,but then1 will ,god1 having absolute knowledge1 have a knowledge of human things8 ,why not8 ,because1 ,socrates1 said ,parmenides1 we have admitted that the ideas are not valid in relation to human things2 nor human things in relation to them2 the relations of either are limited to their respective spheres4 ,yes1 that has been admitted4 ,and if ,god has this perfect authority1 and perfect knowledge1 his authority cannot rule us1 nor his knowledge know us1 or any human thing2 just as our authority does not extend to the gods1 nor our knowledge know anything which is divine1 so by parity of reason they1 being gods1 are not our masters1 neither do they know the things of men4 ,yet1 surely1 said ,socrates1 to deprive ,god of knowledge is monstrous4 ,these1 ,socrates1 said ,parmenides1 are a few1 and only a few of the difficulties in which we are involved if ideas really are and we determine each one of them to be an absolute unity4 ,he who hears what may be said against them will deny the very existence of them--and even if they do exist1 he will say that they must of necessity be unknown to man2 and he will seem to have reason on his side1 and as we were remarking just now1 will be very difficult to convince2 a man must be gifted with very considerable ability before he can learn that everything has a class and an absolute essence2 and still more remarkable will he be who discovers all these things for himself1 and having thoroughly investigated them is able to teach them to others4 ,i agree with you1 ,parmenides1 said ,socrates2 and what you say is very much to my mind4 ,and yet1 ,socrates1 said ,parmenides1 if a man1 fixing his attention on these and the like difficulties1 does away with ideas of things and will not admit that every individual thing has its own determinate idea which is always one and the same1 he will have nothing on which his mind can rest2 and so he will utterly destroy the power of reasoning1 as you seem to me to have particularly noted4 ,very true1 he said4 ,but1 then1 what is to become of philosophy8 ,whither shall we turn1 if the ideas are unknown8 ,i certainly do not see my way at present4 ,yes1 said ,parmenides2 and ,i think that this arises1 ,socrates1 out of your attempting to define the beautiful1 the just1 the good1 and the ideas generally1 without sufficient previous training4 ,i noticed your deficiency1 when ,i heard you talking here with your friend ,aristoteles1 the day before yesterday4 ,the impulse that carries you towards philosophy is assuredly noble and divine2 but there is an art which is called by the vulgar idle talking1 and which is often imagined to be useless2 in that you must train and exercise yourself1 now that you are young1 or truth will elude your grasp4 ,and what is the nature of this exercise1 ,parmenides1 which you would recommend8 ,that which you heard ,zeno practising2 at the same time1 ,i give you credit for saying to him that you did not care to examine the perplexity in reference to visible things1 or to consider the question that way2 but only in reference to objects of thought1 and to what may be called ideas4 ,why1 yes1 he said1 there appears to me to be no difficulty in showing by this method that visible things are like and unlike and may experience anything4 ,quite true1 said ,parmenides2 but ,i think that you should go a step further1 and consider not only the consequences which flow from a given hypothesis1 but also the consequences which flow from denying the hypothesis2 and that will be still better training for you4 ,what do you mean8 he said4 ,i mean1 for example1 that in the case of this very hypothesis of ,zeno's about the many1 you should inquire not only what will be the consequences to the many in relation to themselves and to the one1 and to the one in relation to itself and the many1 on the hypothesis of the being of the many1 but also what will be the consequences to the one and the many in their relation to themselves and to each other1 on the opposite hypothesis4 ,or1 again1 if likeness is or is not1 what will be the consequences in either of these cases to the subjects of the hypothesis1 and to other things1 in relation both to themselves and to one another1 and so of unlikeness2 and the same holds good of motion and rest1 of generation and destruction1 and even of being and not-being4 ,in a word1 when you suppose anything to be or not to be1 or to be in any way affected1 you must look at the consequences in relation to the thing itself1 and to any other things which you choose1--to each of them singly1 to more than one1 and to all2 and so of other things1 you must look at them in relation to themselves and to anything else which you suppose either to be or not to be1 if you would train yourself perfectly and see the real truth4 ,that1 ,parmenides1 is a tremendous business of which you speak1 and ,i do not quite understand you2 will you take some hypothesis and go through the steps8--then ,i shall apprehend you better4 ,that1 ,socrates1 is a serious task to impose on a man of my years4 ,then will you1 ,zeno8 said ,socrates4 ,zeno answered with a smile3--,let us make our petition to ,parmenides himself1 who is quite right in saying that you are hardly aware of the extent of the task which you are imposing on him2 and if there were more of us ,i should not ask him1 for these are not subjects which any one1 especially at his age1 can well speak of before a large audience2 most people are not aware that this roundabout progress through all things is the only way in which the mind can attain truth and wisdom4 ,and therefore1 ,parmenides1 ,i join in the request of ,socrates1 that ,i may hear the process again which ,i have not heard for a long time4 ,when ,zeno had thus spoken1 ,pythodorus1 according to ,antiphon's report of him1 said1 that he himself and ,aristoteles and the whole company entreated ,parmenides to give an example of the process4 ,i cannot refuse1 said ,parmenides2 and yet ,i feel rather like ,ibycus1 who1 when in his old age1 against his will1 he fell in love1 compared himself to an old racehorse1 who was about to run in a chariot race1 shaking with fear at the course he knew so well--this was his simile of himself4 ,and ,i also experience a trembling when ,i remember through what an ocean of words ,i have to wade at my time of life4 ,but ,i must indulge you1 as ,zeno says that ,i ought1 and we are alone4 ,where shall ,i begin8 ,and what shall be our first hypothesis1 if ,i am to attempt this laborious pastime8 ,shall ,i begin with myself1 and take my own hypothesis the one8 and consider the consequences which follow on the supposition either of the being or of the not-being of one8 ,by all means1 said ,zeno4 ,and who will answer me8 he said4 ,shall ,i propose the youngest8 ,he will not make difficulties and will be the most likely to say what he thinks2 and his answers will give me time to breathe4 ,i am the one whom you mean1 ,parmenides1 said ,aristoteles2 for ,i am the youngest and at your service4 ,ask1 and ,i will answer4 ,parmenides proceeded3 #a4;a4 ,if one is1 he said1 the one cannot be many8 ,impossible4 ,then the one cannot have parts1 and cannot be a whole8 ,why not8 ,because every part is part of a whole2 is it not8 ,yes4 ,and what is a whole8 would not that of which no part is wanting be a whole8 ,certainly4 ,then1 in either case1 the one would be made up of parts2 both as being a whole1 and also as having parts8 ,to be sure4 ,and in either case1 the one would be many1 and not one8 ,true4 ,but1 surely1 it ought to be one and not many8 ,it ought4 ,then1 if the one is to remain one1 it will not be a whole1 and will not have parts8 ,no4 ,but if it has no parts1 it will have neither beginning1 middle1 nor end2 for these would of course be parts of it4 ,right4 ,but then1 again1 a beginning and an end are the limits of everything8 ,certainly4 ,then the one1 having neither beginning nor end1 is unlimited8 ,yes1 unlimited4 ,and therefore formless2 for it cannot partake either of round or straight4 ,but why8 ,why1 because the round is that of which all the extreme points are equidistant from the centre8 ,yes4 ,and the straight is that of which the centre intercepts the view of the extremes8 ,true4 ,then the one would have parts and would be many1 if it partook either of a straight or of a circular form8 ,assuredly4 ,but having no parts1 it will be neither straight nor round8 ,right4 ,and1 being of such a nature1 it cannot be in any place1 for it cannot be either in another or in itself4 ,how so8 ,because if it were in another1 it would be encircled by that in which it was1 and would touch it at many places and with many parts2 but that which is one and indivisible1 and does not partake of a circular nature1 cannot be touched all round in many places4 ,certainly not4 ,but if1 on the other hand1 one were in itself1 it would also be contained by nothing else but itself2 that is to say1 if it were really in itself2 for nothing can be in anything which does not contain it4 ,impossible4 ,but then1 that which contains must be other than that which is contained8 for the same whole cannot do and suffer both at once2 and if so1 one will be no longer one1 but two8 ,true4 ,then one cannot be anywhere1 either in itself or in another8 ,no4 ,further consider1 whether that which is of such a nature can have either rest or motion4 ,why not8 ,why1 because the one1 if it were moved1 would be either moved in place or changed in nature2 for these are the only kinds of motion4 ,yes4 ,and the one1 when it changes and ceases to be itself1 cannot be any longer one4 ,it cannot4 ,it cannot therefore experience the sort of motion which is change of nature8 ,clearly not4 ,then can the motion of the one be in place8 ,perhaps4 ,but if the one moved in place1 must it not either move round and round in the same place1 or from one place to another8 ,it must4 ,and that which moves in a circle must rest upon a centre2 and that which goes round upon a centre must have parts which are different from the centre2 but that which has no centre and no parts cannot possibly be carried round upon a centre8 ,impossible4 ,but perhaps the motion of the one consists in change of place8 ,perhaps so1 if it moves at all4 ,and have we not already shown that it cannot be in anything8 ,yes4 ,then its coming into being in anything is still more impossible2 is it not8 ,i do not see why4 ,why1 because anything which comes into being in anything1 can neither as yet be in that other thing while still coming into being1 nor be altogether out of it1 if already coming into being in it4 ,certainly not4 ,and therefore whatever comes into being in another must have parts1 and then one part may be in1 and another part out of that other2 but that which has no parts can never be at one and the same time neither wholly within nor wholly without anything4 ,true4 ,and is there not a still greater impossibility in that which has no parts1 and is not a whole1 coming into being anywhere1 since it cannot come into being either as a part or as a whole8 ,clearly4 ,then it does not change place by revolving in the same spot1 nor by going somewhere and coming into being in something2 nor again1 by change in itself8 ,very true4 ,then in respect of any kind of motion the one is immoveable8 ,immoveable4 ,but neither can the one be in anything1 as we affirm8 ,yes1 we said so4 ,then it is never in the same8 ,why not8 ,because if it were in the same it would be in something4 ,certainly4 ,and we said that it could not be in itself1 and could not be in other8 ,true4 ,then one is never in the same place8 ,it would seem not4 ,but that which is never in the same place is never quiet or at rest8 ,never4 ,one then1 as would seem1 is neither at rest nor in motion8 ,it certainly appears so4 ,neither will it be the same with itself or other2 nor again1 other than itself or other4 ,how is that8 ,if other than itself it would be other than one1 and would not be one4 ,true4 ,and if the same with other1 it would be that other1 and not itself2 so that upon this supposition too1 it would not have the nature of one1 but would be other than one8 ,it would4 ,then it will not be the same with other1 or other than itself8 ,it will not4 ,neither will it be other than other1 while it remains one2 for not one1 but only other1 can be other than other1 and nothing else4 ,true4 ,then not by virtue of being one will it be other8 ,certainly not4 ,but if not by virtue of being one1 not by virtue of itself2 and if not by virtue of itself1 not itself1 and itself not being other at all1 will not be other than anything8 ,right4 ,neither will one be the same with itself4 ,how not8 ,surely the nature of the one is not the nature of the same4 ,why not8 ,it is not when anything becomes the same with anything that it becomes one4 ,what of that8 ,anything which becomes the same with the many1 necessarily becomes many and not one4 ,true4 ,but1 if there were no difference between the one and the same1 when a thing became the same1 it would always become one2 and when it became one1 the same8 ,certainly4 ,and1 therefore1 if one be the same with itself1 it is not one with itself1 and will therefore be one and also not one4 ,surely that is impossible4 ,and therefore the one can neither be other than other1 nor the same with itself4 ,impossible4 ,and thus the one can neither be the same1 nor other1 either in relation to itself or other8 ,no4 ,neither will the one be like anything or unlike itself or other4 ,why not8 ,because likeness is sameness of affections4 ,yes4 ,and sameness has been shown to be of a nature distinct from oneness8 ,that has been shown4 ,but if the one had any other affection than that of being one1 it would be affected in such a way as to be more than one2 which is impossible4 ,true4 ,then the one can never be so affected as to be the same either with another or with itself8 ,clearly not4 ,then it cannot be like another1 or like itself8 ,no4 ,nor can it be affected so as to be other1 for then it would be affected in such a way as to be more than one4 ,it would4 ,that which is affected otherwise than itself or another1 will be unlike itself or another1 for sameness of affections is likeness4 ,true4 ,but the one1 as appears1 never being affected otherwise1 is never unlike itself or other8 ,never4 ,then the one will never be either like or unlike itself or other8 ,plainly not4 ,again1 being of this nature1 it can neither be equal nor unequal either to itself or to other4 ,how is that8 ,why1 because the one if equal must be of the same measures as that to which it is equal4 ,true4 ,and if greater or less than things which are commensurable with it1 the one will have more measures than that which is less1 and fewer than that which is greater8 ,yes4 ,and so of things which are not commensurate with it1 the one will have greater measures than that which is less and smaller than that which is greater4 ,certainly4 ,but how can that which does not partake of sameness1 have either the same measures or have anything else the same8 ,impossible4 ,and not having the same measures1 the one cannot be equal either with itself or with another8 ,it appears so4 ,but again1 whether it have fewer or more measures1 it will have as many parts as it has measures2 and thus again the one will be no longer one but will have as many parts as measures4 ,right4 ,and if it were of one measure1 it would be equal to that measure2 yet it has been shown to be incapable of equality4 ,it has4 ,then it will neither partake of one measure1 nor of many1 nor of few1 nor of the same at all1 nor be equal to itself or another2 nor be greater or less than itself1 or other8 ,certainly4 ,well1 and do we suppose that one can be older1 or younger than anything1 or of the same age with it8 ,why not8 ,why1 because that which is of the same age with itself or other1 must partake of equality or likeness of time2 and we said that the one did not partake either of equality or of likeness8 ,we did say so4 ,and we also said1 that it did not partake of inequality or unlikeness4 ,very true4 ,how then can one1 being of this nature1 be either older or younger than anything1 or have the same age with it8 ,in no way4 ,then one cannot be older or younger1 or of the same age1 either with itself or with another8 ,clearly not4 ,then the one1 being of this nature1 cannot be in time at all2 for must not that which is in time1 be always growing older than itself8 ,certainly4 ,and that which is older1 must always be older than something which is younger8 ,true4 ,then1 that which becomes older than itself1 also becomes at the same time younger than itself1 if it is to have something to become older than4 ,what do you mean8 ,i mean this3--,a thing does not need to become different from another thing which is already different2 it ,,is different1 and if its different has become1 it has become different2 if its different will be1 it will be different2 but of that which is becoming different1 there cannot have been1 or be about to be1 or yet be1 a different--the only different possible is one which is becoming4 ,that is inevitable4 ,but1 surely1 the elder is a difference relative to the younger1 and to nothing else4 ,true4 ,then that which becomes older than itself must also1 at the same time1 become younger than itself8 ,yes4 ,but again1 it is true that it cannot become for a longer or for a shorter time than itself1 but it must become1 and be1 and have become1 and be about to be1 for the same time with itself8 ,that again is inevitable4 ,then things which are in time1 and partake of time1 must in every case1 ,i suppose1 be of the same age with themselves2 and must also become at once older and younger than themselves8 ,yes4 ,but the one did not partake of those affections8 ,not at all4 ,then it does not partake of time1 and is not in any time8 ,so the argument shows4 ,well1 but do not the expressions 'was1' and 'has become1' and 'was becoming1' signify a participation of past time8 ,certainly4 ,and do not 'will be1' 'will become1' 'will have become1' signify a participation of future time8 ,yes4 ,and 'is1' or 'becomes1' signifies a participation of present time8 ,certainly4 ,and if the one is absolutely without participation in time1 it never had become1 or was becoming1 or was at any time1 or is now become or is becoming1 or is1 or will become1 or will have become1 or will be1 hereafter4 ,most true4 ,but are there any modes of partaking of being other than these8 ,there are none4 ,then the one cannot possibly partake of being8 ,that is the inference4 ,then the one is not at all8 ,clearly not4 ,then the one does not exist in such way as to be one2 for if it were and partook of being1 it would already be2 but if the argument is to be trusted1 the one neither is nor is one8 ,true4 ,but that which is not admits of no attribute or relation8 ,of course not4 ,then there is no name1 nor expression1 nor perception1 nor opinion1 nor knowledge of it8 ,clearly not4 ,then it is neither named1 nor expressed1 nor opined1 nor known1 nor does anything that is perceive it4 ,so we must infer4 ,but can all this be true about the one8 ,i think not4 #a4;b4 ,suppose1 now1 that we return once more to the original hypothesis2 let us see whether1 on a further review1 any new aspect of the question appears4 ,i shall be very happy to do so4 ,we say that we have to work out together all the consequences1 whatever they may be1 which follow1 if the one is8 ,yes4 ,then we will begin at the beginning3--,if one is1 can one be1 and not partake of being8 ,impossible4 ,then the one will have being1 but its being will not be the same with the one2 for if the same1 it would not be the being of the one2 nor would the one have participated in being1 for the proposition that one is would have been identical with the proposition that one is one2 but our hypothesis is not if one is one1 what will follow1 but if one is3--am ,i not right8 ,quite right4 ,we mean to say1 that being has not the same significance as one8 ,of course4 ,and when we put them together shortly1 and say ',one is1' that is equivalent to saying1 'partakes of being'8 ,quite true4 ,once more then let us ask1 if one is what will follow4 ,does not this hypothesis necessarily imply that one is of such a nature as to have parts8 ,how so8 ,in this way3--,if being is predicated of the one1 if the one is1 and one of being1 if being is one2 and if being and one are not the same2 and since the one1 which we have assumed1 is1 must not the whole1 if it is one1 itself be1 and have for its parts1 one and being8 ,certainly4 ,and is each of these parts--one and being--to be simply called a part1 or must the word 'part' be relative to the word 'whole'8 ,the latter4 ,then that which is one is both a whole and has a part8 ,certainly4 ,again1 of the parts of the one1 if it is--,i mean being and one--does either fail to imply the other8 is the one wanting to being1 or being to the one8 ,impossible4 ,thus1 each of the parts also has in turn both one and being1 and is at the least made up of two parts2 and the same principle goes on for ever1 and every part whatever has always these two parts2 for being always involves one1 and one being2 so that one is always disappearing1 and becoming two4 ,certainly4 ,and so the one1 if it is1 must be infinite in multiplicity8 ,clearly4 ,let us take another direction4 ,what direction8 ,we say that the one partakes of being and therefore it is8 ,yes4 ,and in this way1 the one1 if it has being1 has turned out to be many8 ,true4 ,but now1 let us abstract the one which1 as we say1 partakes of being1 and try to imagine it apart from that of which1 as we say1 it partakes--will this abstract one be one only or many8 ,one1 ,i think4 ,let us see3--,must not the being of one be other than one8 for the one is not being1 but1 considered as one1 only partook of being8 ,certainly4 ,if being and the one be two different things1 it is not because the one is one that it is other than being2 nor because being is being that it is other than the one2 but they differ from one another in virtue of otherness and difference4 ,certainly4 ,so that the other is not the same--either with the one or with being8 ,certainly not4 ,and therefore whether we take being and the other1 or being and the one1 or the one and the other1 in every such case we take two things1 which may be rightly called both4 ,how so4 ,in this way--you may speak of being8 ,yes4 ,and also of one8 ,yes4 ,then now we have spoken of either of them8 ,yes4 ,well1 and when ,i speak of being and one1 ,i speak of them both8 ,certainly4 ,and if ,i speak of being and the other1 or of the one and the other1--in any such case do ,i not speak of both8 ,yes4 ,and must not that which is correctly called both1 be also two8 ,undoubtedly4 ,and of two things how can either by any possibility not be one8 ,it cannot4 ,then1 if the individuals of the pair are together two1 they must be severally one8 ,clearly4 ,and if each of them is one1 then by the addition of any one to any pair1 the whole becomes three8 ,yes4 ,and three are odd1 and two are even8 ,of course4 ,and if there are two there must also be twice1 and if there are three there must be thrice2 that is1 if twice one makes two1 and thrice one three8 ,certainly4 ,there are two1 and twice1 and therefore there must be twice two2 and there are three1 and there is thrice1 and therefore there must be thrice three8 ,of course4 ,if there are three and twice1 there is twice three2 and if there are two and thrice1 there is thrice two8 ,undoubtedly4 ,here1 then1 we have even taken even times1 and odd taken odd times1 and even taken odd times1 and odd taken even times4 ,true4 ,and if this is so1 does any number remain which has no necessity to be8 ,none whatever4 ,then if one is1 number must also be8 ,it must4 ,but if there is number1 there must also be many1 and infinite multiplicity of being2 for number is infinite in multiplicity1 and partakes also of being3 am ,i not right8 ,certainly4 ,and if all number participates in being1 every part of number will also participate8 ,yes4 ,then being is distributed over the whole multitude of things1 and nothing that is1 however small or however great1 is devoid of it8 ,and1 indeed1 the very supposition of this is absurd1 for how can that which is1 be devoid of being8 ,in no way4 ,and it is divided into the greatest and into the smallest1 and into being of all sizes1 and is broken up more than all things2 the divisions of it have no limit4 ,true4 ,then it has the greatest number of parts8 ,yes1 the greatest number4 ,is there any of these which is a part of being1 and yet no part8 ,impossible4 ,but if it is at all and so long as it is1 it must be one1 and cannot be none8 ,certainly4 ,then the one attaches to every single part of being1 and does not fail in any part1 whether great or small1 or whatever may be the size of it8 ,true4 ,but reflect3--,can one1 in its entirety1 be in many places at the same time8 ,no2 ,i see the impossibility of that4 ,and if not in its entirety1 then it is divided2 for it cannot be present with all the parts of being1 unless divided4 ,true4 ,and that which has parts will be as many as the parts are8 ,certainly4 ,then we were wrong in saying just now1 that being was distributed into the greatest number of parts4 ,for it is not distributed into parts more than the one1 into parts equal to the one2 the one is never wanting to being1 or being to the one1 but being two they are co-equal and co-extensive4 ,certainly that is true4 ,the one itself1 then1 having been broken up into parts by being1 is many and infinite8 ,true4 ,then not only the one which has being is many1 but the one itself distributed by being1 must also be many8 ,certainly4 ,further1 inasmuch as the parts are parts of a whole1 the one1 as a whole1 will be limited2 for are not the parts contained by the whole8 ,certainly4 ,and that which contains1 is a limit8 ,of course4 ,then the one if it has being is one and many1 whole and parts1 having limits and yet unlimited in number8 ,clearly4 ,and because having limits1 also having extremes8 ,certainly4 ,and if a whole1 having beginning and middle and end4 ,for can anything be a whole without these three8 ,and if any one of them is wanting to anything1 will that any longer be a whole8 ,no4 ,then the one1 as appears1 will have beginning1 middle1 and end4 ,it will4 ,but1 again1 the middle will be equidistant from the extremes2 or it would not be in the middle8 ,yes4 ,then the one will partake of figure1 either rectilinear or round1 or a union of the two8 ,true4 ,and if this is the case1 it will be both in itself and in another too4 ,how8 ,every part is in the whole1 and none is outside the whole4 ,true4 ,and all the parts are contained by the whole8 ,yes4 ,and the one is all its parts1 and neither more nor less than all8 ,no4 ,and the one is the whole8 ,of course4 ,but if all the parts are in the whole1 and the one is all of them and the whole1 and they are all contained by the whole1 the one will be contained by the one2 and thus the one will be in itself4 ,that is true4 ,but then1 again1 the whole is not in the parts--neither in all the parts1 nor in some one of them4 ,for if it is in all1 it must be in one2 for if there were any one in which it was not1 it could not be in all the parts2 for the part in which it is wanting is one of all1 and if the whole is not in this1 how can it be in them all8 ,it cannot4 ,nor can the whole be in some of the parts2 for if the whole were in some of the parts1 the greater would be in the less1 which is impossible4 ,yes1 impossible4 ,but if the whole is neither in one1 nor in more than one1 nor in all of the parts1 it must be in something else1 or cease to be anywhere at all8 ,certainly4 ,if it were nowhere1 it would be nothing2 but being a whole1 and not being in itself1 it must be in another4 ,very true4 ,the one then1 regarded as a whole1 is in another1 but regarded as being all its parts1 is in itself2 and therefore the one must be itself in itself and also in another4 ,certainly4 ,the one then1 being of this nature1 is of necessity both at rest and in motion8 ,how8 ,the one is at rest since it is in itself1 for being in one1 and not passing out of this1 it is in the same1 which is itself4 ,true4 ,and that which is ever in the same1 must be ever at rest8 ,certainly4 ,well1 and must not that1 on the contrary1 which is ever in other1 never be in the same2 and if never in the same1 never at rest1 and if not at rest1 in motion8 ,true4 ,then the one being always itself in itself and other1 must always be both at rest and in motion8 ,clearly4 ,and must be the same with itself1 and other than itself2 and also the same with the others1 and other than the others2 this follows from its previous affections4 ,how so8 ,everything in relation to every other thing1 is either the same or other2 or if neither the same nor other1 then in the relation of a part to a whole1 or of a whole to a part4 ,clearly4 ,and is the one a part of itself8 ,certainly not4 ,since it is not a part in relation to itself it cannot be related to itself as whole to part8 ,it cannot4 ,but is the one other than one8 ,no4 ,and therefore not other than itself8 ,certainly not4 ,if then it be neither other1 nor a whole1 nor a part in relation to itself1 must it not be the same with itself8 ,certainly4 ,but then1 again1 a thing which is in another place from 'itself1' if this 'itself' remains in the same place with itself1 must be other than 'itself1' for it will be in another place8 ,true4 ,then the one has been shown to be at once in itself and in another8 ,yes4 ,thus1 then1 as appears1 the one will be other than itself8 ,true4 ,well1 then1 if anything be other than anything1 will it not be other than that which is other8 ,certainly4 ,and will not all things that are not one1 be other than the one1 and the one other than the not-one8 ,of course4 ,then the one will be other than the others8 ,true4 ,but1 consider3--,are not the absolute same1 and the absolute other1 opposites to one another8 ,of course4 ,then will the same ever be in the other1 or the other in the same8 ,they will not4 ,if then the other is never in the same1 there is nothing in which the other is during any space of time2 for during that space of time1 however small1 the other would be in the same4 ,is not that true8 ,yes4 ,and since the other is never in the same1 it can never be in anything that is4 ,true4 ,then the other will never be either in the not-one1 or in the one8 ,certainly not4 ,then not by reason of otherness is the one other than the not-one1 or the not-one other than the one4 ,no4 ,nor by reason of themselves will they be other than one another1 if not partaking of the other4 ,how can they be8 ,but if they are not other1 either by reason of themselves or of the other1 will they not altogether escape being other than one another8 ,they will4 ,again1 the not-one cannot partake of the one2 otherwise it would not have been not-one1 but would have been in some way one4 ,true4 ,nor can the not-one be number2 for having number1 it would not have been not-one at all4 ,it would not4 ,again1 is the not-one part of the one2 or rather1 would it not in that case partake of the one8 ,it would4 ,if then1 in every point of view1 the one and the not-one are distinct1 then neither is the one part or whole of the not-one1 nor is the not-one part or whole of the one8 ,no4 ,but we said that things which are neither parts nor wholes of one another1 nor other than one another1 will be the same with one another3--so we said8 ,yes4 ,then shall we say that the one1 being in this relation to the not-one1 is the same with it8 ,let us say so4 ,then it is the same with itself and the others1 and also other than itself and the others4 ,that appears to be the inference4 ,and it will also be like and unlike itself and the others8 ,perhaps4 ,since the one was shown to be other than the others1 the others will also be other than the one4 ,yes4 ,and the one is other than the others in the same degree that the others are other than it1 and neither more nor less8 ,true4 ,and if neither more nor less1 then in a like degree8 ,yes4 ,in virtue of the affection by which the one is other than others and others in like manner other than it1 the one will be affected like the others and the others like the one4 ,how do you mean8 ,i may take as an illustration the case of names3 ,you give a name to a thing8 ,yes4 ,and you may say the name once or oftener8 ,yes4 ,and when you say it once1 you mention that of which it is the name8 and when more than once1 is it something else which you mention8 or must it always be the same thing of which you speak1 whether you utter the name once or more than once8 ,of course it is the same4 ,and is not 'other' a name given to a thing8 ,certainly4 ,whenever1 then1 you use the word 'other1' whether once or oftener1 you name that of which it is the name1 and to no other do you give the name8 ,true4 ,then when we say that the others are other than the one1 and the one other than the others1 in repeating the word 'other' we speak of that nature to which the name is applied1 and of no other8 ,quite true4 ,then the one which is other than others1 and the other which is other than the one1 in that the word 'other' is applied to both1 will be in the same condition2 and that which is in the same condition is like8 ,yes4 ,then in virtue of the affection by which the one is other than the others1 every thing will be like every thing1 for every thing is other than every thing4 ,true4 ,again1 the like is opposed to the unlike8 ,yes4 ,and the other to the same8 ,true again4 ,and the one was also shown to be the same with the others8 ,yes4 ,and to be the same with the others is the opposite of being other than the others8 ,certainly4 ,and in that it was other it was shown to be like8 ,yes4 ,but in that it was the same it will be unlike by virtue of the opposite affection to that which made it like2 and this was the affection of otherness4 ,yes4 ,the same then will make it unlike2 otherwise it will not be the opposite of the other4 ,true4 ,then the one will be both like and unlike the others2 like in so far as it is other1 and unlike in so far as it is the same4 ,yes1 that argument may be used4 ,and there is another argument4 ,what8 ,in so far as it is affected in the same way it is not affected otherwise1 and not being affected otherwise is not unlike1 and not being unlike1 is like2 but in so far as it is affected by other it is otherwise1 and being otherwise affected is unlike4 ,true4 ,then because the one is the same with the others and other than the others1 on either of these two grounds1 or on both of them1 it will be both like and unlike the others8 ,certainly4 ,and in the same way as being other than itself and the same with itself1 on either of these two grounds and on both of them1 it will be like and unlike itself8 ,of course4 ,again1 how far can the one touch or not touch itself and others8--consider4 ,i am considering4 ,the one was shown to be in itself which was a whole8 ,true4 ,and also in other things8 ,yes4 ,in so far as it is in other things it would touch other things1 but in so far as it is in itself it would be debarred from touching them1 and would touch itself only4 ,clearly4 ,then the inference is that it would touch both8 ,it would4 ,but what do you say to a new point of view8 ,must not that which is to touch another be next to that which it is to touch1 and occupy the place nearest to that in which what it touches is situated8 ,true4 ,then the one1 if it is to touch itself1 ought to be situated next to itself1 and occupy the place next to that in which itself is8 ,it ought4 ,and that would require that the one should be two1 and be in two places at once1 and this1 while it is one1 will never happen4 ,no4 ,then the one cannot touch itself any more than it can be two8 ,it cannot4 ,neither can it touch others4 ,why not8 ,the reason is1 that whatever is to touch another must be in separation from1 and next to1 that which it is to touch1 and no third thing can be between them4 ,true4 ,two things1 then1 at the least are necessary to make contact possible8 ,they are4 ,and if to the two a third be added in due order1 the number of terms will be three1 and the contacts two8 ,yes4 ,and every additional term makes one additional contact1 whence it follows that the contacts are one less in number than the terms2 the first two terms exceeded the number of contacts by one1 and the whole number of terms exceeds the whole number of contacts by one in like manner2 and for every one which is afterwards added to the number of terms1 one contact is added to the contacts4 ,true4 ,whatever is the whole number of things1 the contacts will be always one less4 ,true4 ,but if there be only one1 and not two1 there will be no contact8 ,how can there be8 ,and do we not say that the others being other than the one are not one and have no part in the one8 ,true4 ,then they have no number1 if they have no one in them8 ,of course not4 ,then the others are neither one nor two1 nor are they called by the name of any number8 ,no4 ,one1 then1 alone is one1 and two do not exist8 ,clearly not4 ,and if there are not two1 there is no contact8 ,there is not4 ,then neither does the one touch the others1 nor the others the one1 if there is no contact8 ,certainly not4 ,for all which reasons the one touches and does not touch itself and the others8 ,true4 ,further--is the one equal and unequal to itself and others8 ,how do you mean8 ,if the one were greater or less than the others1 or the others greater or less than the one1 they would not be greater or less than each other in virtue of their being the one and the others2 but1 if in addition to their being what they are they had equality1 they would be equal to one another1 or if the one had smallness and the others greatness1 or the one had greatness and the others smallness--whichever kind had greatness would be greater1 and whichever had smallness would be smaller8 ,certainly4 ,then there are two such ideas as greatness and smallness2 for if they were not they could not be opposed to each other and be present in that which is4 ,how could they8 ,if1 then1 smallness is present in the one it will be present either in the whole or in a part of the whole8 ,certainly4 ,suppose the first2 it will be either co-equal and co-extensive with the whole one1 or will contain the one8 ,clearly4 ,if it be co-extensive with the one it will be co-equal with the one1 or if containing the one it will be greater than the one8 ,of course4 ,but can smallness be equal to anything or greater than anything1 and have the functions of greatness and equality and not its own functions8 ,impossible4 ,then smallness cannot be in the whole of one1 but1 if at all1 in a part only8 ,yes4 ,and surely not in all of a part1 for then the difficulty of the whole will recur2 it will be equal to or greater than any part in which it is4 ,certainly4 ,then smallness will not be in anything1 whether in a whole or in a part2 nor will there be anything small but actual smallness4 ,true4 ,neither will greatness be in the one1 for if greatness be in anything there will be something greater other and besides greatness itself1 namely1 that in which greatness is2 and this too when the small itself is not there1 which the one1 if it is great1 must exceed2 this1 however1 is impossible1 seeing that smallness is wholly absent4 ,true4 ,but absolute greatness is only greater than absolute smallness1 and smallness is only smaller than absolute greatness4 ,very true4 ,then other things not greater or less than the one1 if they have neither greatness nor smallness2 nor have greatness or smallness any power of exceeding or being exceeded in relation to the one1 but only in relation to one another2 nor will the one be greater or less than them or others1 if it has neither greatness nor smallness4 ,clearly not4 ,then if the one is neither greater nor less than the others1 it cannot either exceed or be exceeded by them8 ,certainly not4 ,and that which neither exceeds nor is exceeded1 must be on an equality2 and being on an equality1 must be equal4 ,of course4 ,and this will be true also of the relation of the one to itself2 having neither greatness nor smallness in itself1 it will neither exceed nor be exceeded by itself1 but will be on an equality with and equal to itself4 ,certainly4 ,then the one will be equal both to itself and the others8 ,clearly so4 ,and yet the one1 being itself in itself1 will also surround and be without itself2 and1 as containing itself1 will be greater than itself2 and1 as contained in itself1 will be less2 and will thus be greater and less than itself4 ,it will4 ,now there cannot possibly be anything which is not included in the one and the others8 ,of course not4 ,but1 surely1 that which is must always be somewhere8 ,yes4 ,but that which is in anything will be less1 and that in which it is will be greater2 in no other way can one thing be in another4 ,true4 ,and since there is nothing other or besides the one and the others1 and they must be in something1 must they not be in one another1 the one in the others and the others in the one1 if they are to be anywhere8 ,that is clear4 ,but inasmuch as the one is in the others1 the others will be greater than the one1 because they contain the one1 which will be less than the others1 because it is contained in them2 and inasmuch as the others are in the one1 the one on the same principle will be greater than the others1 and the others less than the one4 ,true4 ,the one1 then1 will be equal to and greater and less than itself and the others8 ,clearly4 ,and if it be greater and less and equal1 it will be of equal and more and less measures or divisions than itself and the others1 and if of measures1 also of parts8 ,of course4 ,and if of equal and more and less measures or divisions1 it will be in number more or less than itself and the others1 and likewise equal in number to itself and to the others8 ,how is that8 ,it will be of more measures than those things which it exceeds1 and of as many parts as measures2 and so with that to which it is equal1 and that than which it is less4 ,true4 ,and being greater and less than itself1 and equal to itself1 it will be of equal measures with itself and of more and fewer measures than itself2 and if of measures then also of parts8 ,it will4 ,and being of equal parts with itself1 it will be numerically equal to itself2 and being of more parts1 more1 and being of less1 less than itself8 ,certainly4 ,and the same will hold of its relation to other things2 inasmuch as it is greater than them1 it will be more in number than them2 and inasmuch as it is smaller1 it will be less in number2 and inasmuch as it is equal in size to other things1 it will be equal to them in number4 ,certainly4 ,once more1 then1 as would appear1 the one will be in number both equal to and more and less than both itself and all other things4 ,it will4 ,does the one also partake of time8 ,and is it and does it become older and younger than itself and others1 and again1 neither younger nor older than itself and others1 by virtue of participation in time8 ,how do you mean8 ,if one is1 being must be predicated of it8 ,yes4 ,but to be 7einai7 is only participation of being in present time1 and to have been is the participation of being at a past time1 and to be about to be is the participation of being at a future time8 ,very true4 ,then the one1 since it partakes of being1 partakes of time8 ,certainly4 ,and is not time always moving forward8 ,yes4 ,then the one is always becoming older than itself1 since it moves forward in time8 ,certainly4 ,and do you remember that the older becomes older than that which becomes younger8 ,i remember4 ,then since the one becomes older than itself1 it becomes younger at the same time8 ,certainly4 ,thus1 then1 the one becomes older as well as younger than itself8 ,yes4 ,and it is older 7is it not87 when in becoming1 it gets to the point of time between 'was' and 'will be1' which is 'now'3 for surely in going from the past to the future1 it cannot skip the present8 ,no4 ,and when it arrives at the present it stops from becoming older1 and no longer becomes1 but is older1 for if it went on it would never be reached by the present1 for it is the nature of that which goes on1 to touch both the present and the future1 letting go the present and seizing the future1 while in process of becoming between them4 ,true4 ,but that which is becoming cannot skip the present2 when it reaches the present it ceases to become1 and is then whatever it may happen to be becoming4 ,clearly4 ,and so the one1 when in becoming older it reaches the present1 ceases to become1 and is then older4 ,certainly4 ,and it is older than that than which it was becoming older1 and it was becoming older than itself4 ,yes4 ,and that which is older is older than that which is younger8 ,true4 ,then the one is younger than itself1 when in becoming older it reaches the present8 ,certainly4 ,but the present is always present with the one during all its being2 for whenever it is it is always now4 ,certainly4 ,then the one always both is and becomes older and younger than itself8 ,truly4 ,and is it or does it become a longer time than itself or an equal time with itself8 ,an equal time4 ,but if it becomes or is for an equal time with itself1 it is of the same age with itself8 ,of course4 ,and that which is of the same age1 is neither older nor younger8 ,no4 ,the one1 then1 becoming and being the same time with itself1 neither is nor becomes older or younger than itself8 ,i should say not4 ,and what are its relations to other things8 ,is it or does it become older or younger than they8 ,i cannot tell you4 ,you can at least tell me that others than the one are more than the one--other would have been one1 but the others have multitude1 and are more than one8 ,they will have multitude4 ,and a multitude implies a number larger than one8 ,of course4 ,and shall we say that the lesser or the greater is the first to come or to have come into existence8 ,the lesser4 ,then the least is the first8 ,and that is the one8 ,yes4 ,then the one of all things that have number is the first to come into being2 but all other things have also number1 being plural and not singular4 ,they have4 ,and since it came into being first it must be supposed to have come into being prior to the others1 and the others later2 and the things which came into being later1 are younger than that which preceded them8 ,and so the other things will be younger than the one1 and the one older than other things8 ,true4 ,what would you say of another question8 ,can the one have come into being contrary to its own nature1 or is that impossible8 ,impossible4 ,and yet1 surely1 the one was shown to have parts2 and if parts1 then a beginning1 middle and end8 ,yes4 ,and a beginning1 both of the one itself and of all other things1 comes into being first of all2 and after the beginning1 the others follow1 until you reach the end8 ,certainly4 ,and all these others we shall affirm to be parts of the whole and of the one1 which1 as soon as the end is reached1 has become whole and one8 ,yes2 that is what we shall say4 ,but the end comes last1 and the one is of such a nature as to come into being with the last2 and1 since the one cannot come into being except in accordance with its own nature1 its nature will require that it should come into being after the others1 simultaneously with the end4 ,clearly4 ,then the one is younger than the others and the others older than the one4 ,that also is clear in my judgment4 ,well1 and must not a beginning or any other part of the one or of anything1 if it be a part and not parts1 being a part1 be also of necessity one8 ,certainly4 ,and will not the one come into being together with each part--together with the first part when that comes into being1 and together with the second part and with all the rest1 and will not be wanting to any part1 which is added to any other part until it has reached the last and become one whole2 it will be wanting neither to the middle1 nor to the first1 nor to the last1 nor to any of them1 while the process of becoming is going on8 ,true4 ,then the one is of the same age with all the others1 so that if the one itself does not contradict its own nature1 it will be neither prior nor posterior to the others1 but simultaneous2 and according to this argument the one will be neither older nor younger than the others1 nor the others than the one1 but according to the previous argument the one will be older and younger than the others and the others than the one4 ,certainly4 ,after this manner then the one is and has become4 ,but as to its becoming older and younger than the others1 and the others than the one1 and neither older nor younger1 what shall we say8 ,shall we say as of being so also of becoming1 or otherwise8 ,i cannot answer4 ,but ,i can venture to say1 that even if one thing were older or younger than another1 it could not become older or younger in a greater degree than it was at first2 for equals added to unequals1 whether to periods of time or to anything else1 leave the difference between them the same as at first4 ,of course4 ,then that which is1 cannot become older or younger than that which is1 since the difference of age is always the same2 the one is and has become older and the other younger2 but they are no longer becoming so4 ,true4 ,and the one which is does not therefore become either older or younger than the others which are4 ,no4 ,but consider whether they may not become older and younger in another way4 ,in what way8 ,just as the one was proven to be older than the others and the others than the one4 ,and what of that8 ,if the one is older than the others1 has come into being a longer time than the others4 ,yes4 ,but consider again2 if we add equal time to a greater and a less time1 will the greater differ from the less time by an equal or by a smaller portion than before8 ,by a smaller portion4 ,then the difference between the age of the one and the age of the others will not be afterwards so great as at first1 but if an equal time be added to both of them they will differ less and less in age8 ,yes4 ,and that which differs in age from some other less than formerly1 from being older will become younger in relation to that other than which it was older8 ,yes1 younger4 ,and if the one becomes younger the others aforesaid will become older than they were before1 in relation to the one4 ,certainly4 ,then that which had become younger becomes older relatively to that which previously had become and was older2 it never really is older1 but is always becoming1 for the one is always growing on the side of youth and the other on the side of age4 ,and in like manner the older is always in process of becoming younger than the younger2 for as they are always going in opposite directions they become in ways the opposite to one another1 the younger older than the older1 and the older younger than the younger4 ,they cannot1 however1 have become2 for if they had already become they would be and not merely become4 ,but that is impossible2 for they are always becoming both older and younger than one another3 the one becomes younger than the others because it was seen to be older and prior1 and the others become older than the one because they came into being later2 and in the same way the others are in the same relation to the one1 because they were seen to be older1 and prior to the one4 ,that is clear4 ,inasmuch then1 one thing does not become older or younger than another1 in that they always differ from each other by an equal number1 the one cannot become older or younger than the others1 nor the others than the one2 but inasmuch as that which came into being earlier and that which came into being later must continually differ from each other by a different portion--in this point of view the others must become older and younger than the one1 and the one than the others4 ,certainly4 ,for all these reasons1 then1 the one is and becomes older and younger than itself and the others1 and neither is nor becomes older or younger than itself or the others4 ,certainly4 ,but since the one partakes of time1 and partakes of becoming older and younger1 must it not also partake of the past1 the present1 and the future8 ,of course it must4 ,then the one was and is and will be1 and was becoming and is becoming and will become8 ,certainly4 ,and there is and was and will be something which is in relation to it and belongs to it8 ,true4 ,and since we have at this moment opinion and knowledge and perception of the one1 there is opinion and knowledge and perception of it8 ,quite right4 ,then there is name and expression for it1 and it is named and expressed1 and everything of this kind which appertains to other things appertains to the one4 ,certainly1 that is true4 ,yet once more and for the third time1 let us consider3 ,if the one is both one and many1 as we have described1 and is neither one nor many1 and participates in time1 must it not1 in as far as it is one1 at times partake of being1 and in as far as it is not one1 at times not partake of being8 ,certainly4 ,but can it partake of being when not partaking of being1 or not partake of being when partaking of being8 ,impossible4 ,then the one partakes and does not partake of being at different times1 for that is the only way in which it can partake and not partake of the same4 ,true4 ,and is there not also a time at which it assumes being and relinquishes being--for how can it have and not have the same thing unless it receives and also gives it up at some time8 ,impossible4 ,and the assuming of being is what you would call becoming8 ,i should4 ,and the relinquishing of being you would call destruction8 ,i should4 ,the one then1 as would appear1 becomes and is destroyed by taking and giving up being4 ,certainly4 ,and being one and many and in process of becoming and being destroyed1 when it becomes one it ceases to be many1 and when many1 it ceases to be one8 ,certainly4 ,and as it becomes one and many1 must it not inevitably experience separation and aggregation8 ,inevitably4 ,and whenever it becomes like and unlike it must be assimilated and dissimilated8 ,yes4 ,and when it becomes greater or less or equal it must grow or diminish or be equalized8 ,true4 ,and when being in motion it rests1 and when being at rest it changes to motion1 it can surely be in no time at all8 ,how can it8 ,but that a thing which is previously at rest should be afterwards in motion1 or previously in motion and afterwards at rest1 without experiencing change1 is impossible4 ,impossible4 ,and surely there cannot be a time in which a thing can be at once neither in motion nor at rest8 ,there cannot4 ,but neither can it change without changing4 ,true4 ,when then does it change2 for it cannot change either when at rest1 or when in motion1 or when in time8 ,it cannot4 ,and does this strange thing in which it is at the time of changing really exist8 ,what thing8 ,the moment4 ,for the moment seems to imply a something out of which change takes place into either of two states2 for the change is not from the state of rest as such1 nor from the state of motion as such2 but there is this curious nature which we call the moment lying between rest and motion1 not being in any time2 and into this and out of this what is in motion changes into rest1 and what is at rest into motion4 ,so it appears4 ,and the one then1 since it is at rest and also in motion1 will change to either1 for only in this way can it be in both4 ,and in changing it changes in a moment1 and when it is changing it will be in no time1 and will not then be either in motion or at rest4 ,it will not4 ,and it will be in the same case in relation to the other changes1 when it passes from being into cessation of being1 or from not-being into becoming--then it passes between certain states of motion and rest1 and neither is nor is not1 nor becomes nor is destroyed4 ,very true4 ,and on the same principle1 in the passage from one to many and from many to one1 the one is neither one nor many1 neither separated nor aggregated2 and in the passage from like to unlike1 and from unlike to like1 it is neither like nor unlike1 neither in a state of assimilation nor of dissimilation2 and in the passage from small to great and equal and back again1 it will be neither small nor great1 nor equal1 nor in a state of increase1 or diminution1 or equalization4 ,true4 ,all these1 then1 are the affections of the one1 if the one has being4 ,of course4 #a4;aa4 ,but if one is1 what will happen to the others--is not that also to be considered8 ,yes4 ,let us show then1 if one is1 what will be the affections of the others than the one4 ,let us do so4 ,inasmuch as there are things other than the one1 the others are not the one2 for if they were they could not be other than the one4 ,very true4 ,nor are the others altogether without the one1 but in a certain way they participate in the one4 ,in what way8 ,because the others are other than the one inasmuch as they have parts2 for if they had no parts they would be simply one4 ,right4 ,and parts1 as we affirm1 have relation to a whole8 ,so we say4 ,and a whole must necessarily be one made up of many2 and the parts will be parts of the one1 for each of the parts is not a part of many1 but of a whole4 ,how do you mean8 ,if anything were a part of many1 being itself one of them1 it will surely be a part of itself1 which is impossible1 and it will be a part of each one of the other parts1 if of all2 for if not a part of some one1 it will be a part of all the others but this one1 and thus will not be a part of each one2 and if not a part of each1 one it will not be a part of any one of the many2 and not being a part of any one1 it cannot be a part or anything else of all those things of none of which it is anything4 ,clearly not4 ,then the part is not a part of the many1 nor of all1 but is of a certain single form1 which we call a whole1 being one perfect unity framed out of all--of this the part will be a part4 ,certainly4 ,if1 then1 the others have parts1 they will participate in the whole and in the one4 ,true4 ,then the others than the one must be one perfect whole1 having parts4 ,certainly4 ,and the same argument holds of each part1 for the part must participate in the one2 for if each of the parts is a part1 this means1 ,i suppose1 that it is one separate from the rest and self-related2 otherwise it is not each4 ,true4 ,but when we speak of the part participating in the one1 it must clearly be other than one2 for if not1 it would not merely have participated1 but would have been one2 whereas only the one itself can be one4 ,very true4 ,both the whole and the part must participate in the one2 for the whole will be one whole1 of which the parts will be parts2 and each part will be one part of the whole which is the whole of the part4 ,true4 ,and will not the things which participate in the one1 be other than it8 ,of course4 ,and the things which are other than the one will be many2 for if the things which are other than the one were neither one nor more than one1 they would be nothing4 ,true4 ,but1 seeing that the things which participate in the one as a part1 and in the one as a whole1 are more than one1 must not those very things which participate in the one be infinite in number8 ,how so8 ,let us look at the matter thus3--,is it not a fact that in partaking of the one they are not one1 and do not partake of the one at the very time when they are partaking of it8 ,clearly4 ,they do so then as multitudes in which the one is not present8 ,very true4 ,and if we were to abstract from them in idea the very smallest fraction1 must not that least fraction1 if it does not partake of the one1 be a multitude and not one8 ,it must4 ,and if we continue to look at the other side of their nature1 regarded simply1 and in itself1 will not they1 as far as we see them1 be unlimited in number8 ,certainly4 ,and yet1 when each several part becomes a part1 then the parts have a limit in relation to the whole and to each other1 and the whole in relation to the parts4 ,just so4 ,the result to the others than the one is that the union of themselves and the one appears to create a new element in them which gives to them limitation in relation to one another2 whereas in their own nature they have no limit4 ,that is clear4 ,then the others than the one1 both as whole and parts1 are infinite1 and also partake of limit4 ,certainly4 ,then they are both like and unlike one another and themselves4 ,how is that8 ,inasmuch as they are unlimited in their own nature1 they are all affected in the same way4 ,true4 ,and inasmuch as they all partake of limit1 they are all affected in the same way4 ,of course4 ,but inasmuch as their state is both limited and unlimited1 they are affected in opposite ways4 ,yes4 ,and opposites are the most unlike of things4 ,certainly4 ,considered1 then1 in regard to either one of their affections1 they will be like themselves and one another2 considered in reference to both of them together1 most opposed and most unlike4 ,that appears to be true4 ,then the others are both like and unlike themselves and one another8 ,true4 ,and they are the same and also different from one another1 and in motion and at rest1 and experience every sort of opposite affection1 as may be proved without difficulty of them1 since they have been shown to have experienced the affections aforesaid8 ,true4 #a4;bb4 ,suppose1 now1 that we leave the further discussion of these matters as evident1 and consider again upon the hypothesis that the one is1 whether opposite of all this is or is not equally true of the others4 ,by all means4 ,then let us begin again1 and ask1 ,if one is1 what must be the affections of the others8 ,let us ask that question4 ,must not the one be distinct from the others1 and the others from the one8 ,why so8 ,why1 because there is nothing else beside them which is distinct from both of them2 for the expression 'one and the others' includes all things4 ,yes1 all things4 ,then we cannot suppose that there is anything different from them in which both the one and the others might exist8 ,there is nothing4 ,then the one and the others are never in the same8 ,true4 ,then they are separated from each other8 ,yes4 ,and we surely cannot say that what is truly one has parts8 ,impossible4 ,then the one will not be in the others as a whole1 nor as part1 if it be separated from the others1 and has no parts8 ,impossible4 ,then there is no way in which the others can partake of the one1 if they do not partake either in whole or in part8 ,it would seem not4 ,then there is no way in which the others are one1 or have in themselves any unity8 ,there is not4 ,nor are the others many2 for if they were many1 each part of them would be a part of the whole2 but now the others1 not partaking in any way of the one1 are neither one nor many1 nor whole1 nor part4 ,true4 ,then the others neither are nor contain two or three1 if entirely deprived of the one8 ,true4 ,then the others are neither like nor unlike the one1 nor is likeness and unlikeness in them2 for if they were like and unlike1 or had in them likeness and unlikeness1 they would have two natures in them opposite to one another4 ,that is clear4 ,but for that which partakes of nothing to partake of two things was held by us to be impossible8 ,impossible4 ,then the others are neither like nor unlike nor both1 for if they were like or unlike they would partake of one of those two natures1 which would be one thing1 and if they were both they would partake of opposites which would be two things1 and this has been shown to be impossible4 ,true4 ,therefore they are neither the same1 nor other1 nor in motion1 nor at rest1 nor in a state of becoming1 nor of being destroyed1 nor greater1 nor less1 nor equal1 nor have they experienced anything else of the sort2 for1 if they are capable of experiencing any such affection1 they will participate in one and two and three1 and odd and even1 and in these1 as has been proved1 they do not participate1 seeing that they are altogether and in every way devoid of the one4 ,very true4 ,therefore if one is1 the one is all things1 and also nothing1 both in relation to itself and to other things4 ,certainly4 #b4;a4 ,well1 and ought we not to consider next what will be the consequence if the one is not8 ,yes2 we ought4 ,what is the meaning of the hypothesis--,if the one is not2 is there any difference between this and the hypothesis--,if the not one is not8 ,there is a difference1 certainly4 ,is there a difference only1 or rather are not the two expressions--if the one is not1 and if the not one is not1 entirely opposed8 ,they are entirely opposed4 ,and suppose a person to say3--,if greatness is not1 if smallness is not1 or anything of that sort1 does he not mean1 whenever he uses such an expression1 that 'what is not' is other than other things8 ,to be sure4 ,and so when he says ',if one is not' he clearly means1 that what 'is not' is other than all others2 we know what he means--do we not8 ,yes1 we do4 ,when he says 'one1' he says something which is known2 and secondly something which is other than all other things2 it makes no difference whether he predicate of one being or not-being1 for that which is said 'not to be' is known to be something all the same1 and is distinguished from other things4 ,certainly4 ,then ,i will begin again1 and ask3 ,if one is not1 what are the consequences8 ,in the first place1 as would appear1 there is a knowledge of it1 or the very meaning of the words1 'if one is not1' would not be known4 ,true4 ,secondly1 the others differ from it1 or it could not be described as different from the others8 ,certainly4 ,difference1 then1 belongs to it as well as knowledge2 for in speaking of the one as different from the others1 we do not speak of a difference in the others1 but in the one4 ,clearly so4 ,moreover1 the one that is not is something and partakes of relation to 'that1' and 'this1' and 'these1' and the like1 and is an attribute of 'this'2 for the one1 or the others than the one1 could not have been spoken of1 nor could any attribute or relative of the one that is not have been or been spoken of1 nor could it have been said to be anything1 if it did not partake of 'some1' or of the other relations just now mentioned4 ,true4 ,being1 then1 cannot be ascribed to the one1 since it is not2 but the one that is not may or rather must participate in many things1 if it and nothing else is not2 if1 however1 neither the one nor the one that is not is supposed not to be1 and we are speaking of something of a different nature1 we can predicate nothing of it4 ,but supposing that the one that is not and nothing else is not1 then it must participate in the predicate 'that1' and in many others4 ,certainly4 ,and it will have unlikeness in relation to the others1 for the others being different from the one will be of a different kind4 ,certainly4 ,and are not things of a different kind also other in kind8 ,of course4 ,and are not things other in kind unlike8 ,they are unlike4 ,and if they are unlike the one1 that which they are unlike will clearly be unlike them8 ,clearly so4 ,then the one will have unlikeness in respect of which the others are unlike it8 ,that would seem to be true4 ,and if unlikeness to other things is attributed to it1 it must have likeness to itself4 ,how so8 ,if the one have unlikeness to one1 something else must be meant2 nor will the hypothesis relate to one2 but it will relate to something other than one8 ,quite so4 ,but that cannot be4 ,no4 ,then the one must have likeness to itself8 ,it must4 ,again1 it is not equal to the others2 for if it were equal1 then it would at once be and be like them in virtue of the equality2 but if one has no being1 then it can neither be nor be like8 ,it cannot4 ,but since it is not equal to the others1 neither can the others be equal to it8 ,certainly not4 ,and things that are not equal are unequal8 ,true4 ,and they are unequal to an unequal8 ,of course4 ,then the one partakes of inequality1 and in respect of this the others are unequal to it8 ,very true4 ,and inequality implies greatness and smallness8 ,yes4 ,then the one1 if of such a nature1 has greatness and smallness8 ,that appears to be true4 ,and greatness and smallness always stand apart8 ,true4 ,then there is always something between them8 ,there is4 ,and can you think of anything else which is between them other than equality8 ,no1 it is equality which lies between them4 ,then that which has greatness and smallness also has equality1 which lies between them8 ,that is clear4 ,then the one1 which is not1 partakes1 as would appear1 of greatness and smallness and equality8 ,clearly4 ,further1 it must surely in a sort partake of being8 ,how so8 ,it must be so1 for if not1 then we should not speak the truth in saying that the one is not4 ,but if we speak the truth1 clearly we must say what is4 ,am ,i not right8 ,yes4 ,and since we affirm that we speak truly1 we must also affirm that we say what is8 ,certainly4 ,then1 as would appear1 the one1 when it is not1 is2 for if it were not to be when it is not1 but 7,or1 'to remit something of existence in relation to not-being4'7 were to relinquish something of being1 so as to become not-being1 it would at once be4 ,quite true4 ,then the one which is not1 if it is to maintain itself1 must have the being of not-being as the bond of not-being1 just as being must have as a bond the not-being of not-being in order to perfect its own being2 for the truest assertion of the being of being and of the not-being of not-being is when being partakes of the being of being1 and not of the being of not-being--that is1 the perfection of being2 and when not-being does not partake of the not-being of not-being but of the being of not-being--that is the perfection of not-being4 ,most true4 ,since then what is partakes of not-being1 and what is not of being1 must not the one also partake of being in order not to be8 ,certainly4 ,then the one1 if it is not1 clearly has being8 ,clearly4 ,and has not-being also1 if it is not8 ,of course4 ,but can anything which is in a certain state not be in that state without changing8 ,impossible4 ,then everything which is and is not in a certain state1 implies change8 ,certainly4 ,and change is motion--we may say that8 ,yes1 motion4 ,and the one has been proved both to be and not to be8 ,yes4 ,and therefore is and is not in the same state8 ,yes4 ,thus the one that is not has been shown to have motion also1 because it changes from being to not-being8 ,that appears to be true4 ,but surely if it is nowhere among what is1 as is the fact1 since it is not1 it cannot change from one place to another8 ,impossible4 ,then it cannot move by changing place8 ,no4 ,nor can it turn on the same spot1 for it nowhere touches the same1 for the same is1 and that which is not cannot be reckoned among things that are8 ,it cannot4 ,then the one1 if it is not1 cannot turn in that in which it is not8 ,no4 ,neither can the one1 whether it is or is not1 be altered into other than itself1 for if it altered and became different from itself1 then we could not be still speaking of the one1 but of something else8 ,true4 ,but if the one neither suffers alteration1 nor turns round in the same place1 nor changes place1 can it still be capable of motion8 ,impossible4 ,now that which is unmoved must surely be at rest1 and that which is at rest must stand still8 ,certainly4 ,then the one that is not1 stands still1 and is also in motion8 ,that seems to be true4 ,but if it be in motion it must necessarily undergo alteration1 for anything which is moved1 in so far as it is moved1 is no longer in the same state1 but in another8 ,yes4 ,then the one1 being moved1 is altered8 ,yes4 ,and1 further1 if not moved in any way1 it will not be altered in any way8 ,no4 ,then1 in so far as the one that is not is moved1 it is altered1 but in so far as it is not moved1 it is not altered8 ,right4 ,then the one that is not is altered and is not altered8 ,that is clear4 ,and must not that which is altered become other than it previously was1 and lose its former state and be destroyed2 but that which is not altered can neither come into being nor be destroyed8 ,very true4 ,and the one that is not1 being altered1 becomes and is destroyed2 and not being altered1 neither becomes nor is destroyed2 and so the one that is not becomes and is destroyed1 and neither becomes nor is destroyed8 ,true4 #b4;b4 ,and now1 let us go back once more to the beginning1 and see whether these or some other consequences will follow4 ,let us do as you say4 ,if one is not1 we ask what will happen in respect of one8 ,that is the question4 ,yes4 ,do not the words 'is not' signify absence of being in that to which we apply them8 ,just so4 ,and when we say that a thing is not1 do we mean that it is not in one way but is in another8 or do we mean1 absolutely1 that what is not has in no sort or way or kind participation of being8 ,quite absolutely4 ,then1 that which is not cannot be1 or in any way participate in being8 ,it cannot4 ,and did we not mean by becoming1 and being destroyed1 the assumption of being and the loss of being8 ,nothing else4 ,and can that which has no participation in being1 either assume or lose being8 ,impossible4 ,the one then1 since it in no way is1 cannot have or lose or assume being in any way8 ,true4 ,then the one that is not1 since it in no way partakes of being1 neither perishes nor becomes8 ,no4 ,then it is not altered at all2 for if it were it would become and be destroyed8 ,true4 ,but if it be not altered it cannot be moved8 ,certainly not4 ,nor can we say that it stands1 if it is nowhere2 for that which stands must always be in one and the same spot8 ,of course4 ,then we must say that the one which is not never stands still and never moves8 ,neither4 ,nor is there any existing thing which can be attributed to it2 for if there had been1 it would partake of being8 ,that is clear4 ,and therefore neither smallness1 nor greatness1 nor equality1 can be attributed to it8 ,no4 ,nor yet likeness nor difference1 either in relation to itself or to others8 ,clearly not4 ,well1 and if nothing should be attributed to it1 can other things be attributed to it8 ,certainly not4 ,and therefore other things can neither be like or unlike1 the same1 or different in relation to it8 ,they cannot4 ,nor can what is not1 be anything1 or be this thing1 or be related to or the attribute of this or that or other1 or be past1 present1 or future4 ,nor can knowledge1 or opinion1 or perception1 or expression1 or name1 or any other thing that is1 have any concern with it8 ,no4 ,then the one that is not has no condition of any kind8 ,such appears to be the conclusion4 #b4;aa4 ,yet once more2 if one is not1 what becomes of the others8 ,let us determine that4 ,yes2 let us determine that4 ,the others must surely be2 for if they1 like the one1 were not1 we could not be now speaking of them4 ,true4 ,but to speak of the others implies difference--the terms 'other' and 'different' are synonymous8 ,true4 ,other means other than other1 and different1 different from the different8 ,yes4 ,then1 if there are to be others1 there is something than which they will be other8 ,certainly4 ,and what can that be8--for if the one is not1 they will not be other than the one4 ,they will not4 ,then they will be other than each other2 for the only remaining alternative is that they are other than nothing4 ,true4 ,and they are each other than one another1 as being plural and not singular2 for if one is not1 they cannot be singular1 but every particle of them is infinite in number2 and even if a person takes that which appears to be the smallest fraction1 this1 which seemed one1 in a moment evanesces into many1 as in a dream1 and from being the smallest becomes very great1 in comparison with the fractions into which it is split up8 ,very true4 ,and in such particles the others will be other than one another1 if others are1 and the one is not8 ,exactly4 ,and will there not be many particles1 each appearing to be one1 but not being one1 if one is not8 ,true4 ,and it would seem that number can be predicated of them if each of them appears to be one1 though it is really many8 ,it can4 ,and there will seem to be odd and even among them1 which will also have no reality1 if one is not8 ,yes4 ,and there will appear to be a least among them2 and even this will seem large and manifold in comparison with the many small fractions which are contained in it8 ,certainly4 ,and each particle will be imagined to be equal to the many and little2 for it could not have appeared to pass from the greater to the less without having appeared to arrive at the middle2 and thus would arise the appearance of equality4 ,yes4 ,and having neither beginning1 middle1 nor end1 each separate particle yet appears to have a limit in relation to itself and other4 ,how so8 ,because1 when a person conceives of any one of these as such1 prior to the beginning another beginning appears1 and there is another end1 remaining after the end1 and in the middle truer middles within but smaller1 because no unity can be conceived of any of them1 since the one is not4 ,very true4 ,and so all being1 whatever we think of1 must be broken up into fractions1 for a particle will have to be conceived of without unity8 ,certainly4 ,and such being when seen indistinctly and at a distance1 appears to be one2 but when seen near and with keen intellect1 every single thing appears to be infinite1 since it is deprived of the one1 which is not8 ,nothing more certain4 ,then each of the others must appear to be infinite and finite1 and one and many1 if others than the one exist and not the one4 ,they must4 ,then will they not appear to be like and unlike8 ,in what way8 ,just as in a picture things appear to be all one to a person standing at a distance1 and to be in the same state and alike8 ,true4 ,but when you approach them1 they appear to be many and different2 and because of the appearance of the difference1 different in kind from1 and unlike1 themselves8 ,true4 ,and so must the particles appear to be like and unlike themselves and each other4 ,certainly4 ,and must they not be the same and yet different from one another1 and in contact with themselves1 although they are separated1 and having every sort of motion1 and every sort of rest1 and becoming and being destroyed1 and in neither state1 and the like1 all which things may be easily enumerated1 if the one is not and the many are8 ,most true4 #b4;bb4 ,once more1 let us go back to the beginning1 and ask if the one is not1 and the others of the one are1 what will follow4 ,let us ask that question4 ,in the first place1 the others will not be one8 ,impossible4 ,nor will they be many2 for if they were many one would be contained in them4 ,but if no one of them is one1 all of them are nought1 and therefore they will not be many4 ,true4 ,if there be no one in the others1 the others are neither many nor one4 ,they are not4 ,nor do they appear either as one or many4 ,why not8 ,because the others have no sort or manner or way of communion with any sort of not-being1 nor can anything which is not1 be connected with any of the others2 for that which is not has no parts4 ,true4 ,nor is there an opinion or any appearance of not-being in connexion with the others1 nor is not-being ever in any way attributed to the others4 ,no4 ,then if one is not1 there is no conception of any of the others either as one or many2 for you cannot conceive the many without the one4 ,you cannot4 ,then if one is not1 the others neither are1 nor can be conceived to be either one or many8 ,it would seem not4 ,nor as like or unlike8 ,no4 ,nor as the same or different1 nor in contact or separation1 nor in any of those states which we enumerated as appearing to be2--the others neither are nor appear to be any of these1 if one is not8 ,true4 ,then may we not sum up the argument in a word and say truly3 ,if one is not1 then nothing is8 ,certainly4 ,let thus much be said2 and further let us affirm what seems to be the truth1 that1 whether one is or is not1 one and the others in relation to themselves and one another1 all of them1 in every way1 are and are not1 and appear to be and appear not to be4 ,most true4