,the ,categories ,by ,aristotle ,translated by ,e4 ,m4 ,edghill ,section #a ,part #a ,things are said to be named 'equivocally' when1 though they have a common name1 the definition corresponding with the name differs for each4 ,thus1 a real man and a figure in a picture can both lay claim to the name 'animal'2 yet these are equivocally so named1 for1 though they have a common name1 the definition corresponding with the name differs for each4 ,for should any one define in what sense each is an animal1 his definition in the one case will be appropriate to that case only4 ,on the other hand1 things are said to be named 'univocally' which have both the name and the definition answering to the name in common4 ,a man and an ox are both 'animal'1 and these are univocally so named1 inasmuch as not only the name1 but also the definition1 is the same in both cases3 for if a man should state in what sense each is an animal1 the statement in the one case would be identical with that in the other4 ,things are said to be named 'derivatively'1 which derive their name from some other name1 but differ from it in termination4 ,thus the grammarian derives his name from the word 'grammar'1 and the courageous man from the word 'courage'4 ,part #b ,forms of speech are either simple or composite4 ,examples of the latter are such expressions as 'the man runs'1 'the man wins'2 of the former 'man'1 'ox'1 'runs'1 'wins'4 ,of things themselves some are predicable of a subject1 and are never present in a subject4 ,thus 'man' is predicable of the individual man1 and is never present in a subject4 ,by being 'present in a subject' ,i do not mean present as parts are present in a whole1 but being incapable of existence apart from the said subject4 ,some things1 again1 are present in a subject1 but are never predicable of a subject4 ,for instance1 a certain point of grammatical knowledge is present in the mind1 but is not predicable of any subject2 or again1 a certain whiteness may be present in the body 7for colour requires a material basis71 yet it is never predicable of anything4 ,other things1 again1 are both predicable of a subject and present in a subject4 ,thus while knowledge is present in the human mind1 it is predicable of grammar4 ,there is1 lastly1 a class of things which are neither present in a subject nor predicable of a subject1 such as the individual man or the individual horse4 ,but1 to speak more generally1 that which is individual and has the character of a unit is never predicable of a subject4 ,yet in some cases there is nothing to prevent such being present in a subject4 ,thus a certain point of grammatical knowledge is present in a subject4 ,part #c ,when one thing is predicated of another1 all that which is predicable of the predicate will be predicable also of the subject4 ,thus1 'man' is predicated of the individual man2 but 'animal' is predicated of 'man'2 it will1 therefore1 be predicable of the individual man also3 for the individual man is both 'man' and 'animal'4 ,if genera are different and co-ordinate1 their differentiae are themselves different in kind4 ,take as an instance the genus 'animal' and the genus 'knowledge'4 ',with feet'1 'two-footed'1 'winged'1 'aquatic'1 are differentiae of 'animal'2 the species of knowledge are not distinguished by the same differentiae4 ,one species of knowledge does not differ from another in being 'two-footed'4 ,but where one genus is subordinate to another1 there is nothing to prevent their having the same differentiae3 for the greater class is predicated of the lesser1 so that all the differentiae of the predicate will be differentiae also of the subject4 ,part #d ,expressions which are in no way composite signify substance1 quantity1 quality1 relation1 place1 time1 position1 state1 action1 or affection4 ,to sketch my meaning roughly1 examples of substance are 'man' or 'the horse'1 of quantity1 such terms as 'two cubits long' or 'three cubits long'1 of quality1 such attributes as 'white'1 'grammatical'4 ',double'1 'half'1 'greater'1 fall under the category of relation2 'in the market place'1 'in the ,lyceum'1 under that of place2 'yesterday'1 'last year'1 under that of time4 ',lying'1 'sitting'1 are terms indicating position1 'shod'1 'armed'1 state2 'to lance'1 'to cauterize'1 action2 'to be lanced'1 'to be cauterized'1 affection4 ,no one of these terms1 in and by itself1 involves an affirmation2 it is by the combination of such terms that positive or negative statements arise4 ,for every assertion must1 as is admitted1 be either true or false1 whereas expressions which are not in any way composite such as 'man'1 'white'1 'runs'1 'wins'1 cannot be either true or false4 ,part #e ,substance1 in the truest and primary and most definite sense of the word1 is that which is neither predicable of a subject nor present in a subject2 for instance1 the individual man or horse4 ,but in a secondary sense those things are called substances within which1 as species1 the primary substances are included2 also those which1 as genera1 include the species4 ,for instance1 the individual man is included in the species 'man'1 and the genus to which the species belongs is 'animal'2 these1 therefore--that is to say1 the species 'man' and the genus 'animal1-are termed secondary substances4 ,it is plain from what has been said that both the name and the definition of the predicate must be predicable of the subject4 ,for instance1 'man' is predicated of the individual man4 ,now in this case the name of the species 'man' is applied to the individual1 for we use the term 'man' in describing the individual2 and the definition of 'man' will also be predicated of the individual man1 for the individual man is both man and animal4 ,thus1 both the name and the definition of the species are predicable of the individual4 ,with regard1 on the other hand1 to those things which are present in a subject1 it is generally the case that neither their name nor their definition is predicable of that in which they are present4 ,though1 however1 the definition is never predicable1 there is nothing in certain cases to prevent the name being used4 ,for instance1 'white' being present in a body is predicated of that in which it is present1 for a body is called white3 the definition1 however1 of the colour 'white' is never predicable of the body4 ,everything except primary substances is either predicable of a primary substance or present in a primary substance4 ,this becomes evident by reference to particular instances which occur4 ',animal' is predicated of the species 'man'1 therefore of the individual man1 for if there were no individual man of whom it could be predicated1 it could not be predicated of the species 'man' at all4 ,again1 colour is present in body1 therefore in individual bodies1 for if there were no individual body in which it was present1 it could not be present in body at all4 ,thus everything except primary substances is either predicated of primary substances1 or is present in them1 and if these last did not exist1 it would be impossible for anything else to exist4 ,of secondary substances1 the species is more truly substance than the genus1 being more nearly related to primary substance4 ,for if any one should render an account of what a primary substance is1 he would render a more instructive account1 and one more proper to the subject1 by stating the species than by stating the genus4 ,thus1 he would give a more instructive account of an individual man by stating that he was man than by stating that he was animal1 for the former description is peculiar to the individual in a greater degree1 while the latter is too general4 ,again1 the man who gives an account of the nature of an individual tree will give a more instructive account by mentioning the species 'tree' than by mentioning the genus 'plant'4 ,moreover1 primary substances are most properly called substances in virtue of the fact that they are the entities which underlie everything else1 and that everything else is either predicated of them or present in them4 ,now the same relation which subsists between primary substance and everything else subsists also between the species and the genus3 for the species is to the genus as subject is to predicate1 since the genus is predicated of the species1 whereas the species cannot be predicated of the genus4 ,thus we have a second ground for asserting that the species is more truly substance than the genus4 ,of species themselves1 except in the case of such as are genera1 no one is more truly substance than another4 ,we should not give a more appropriate account of the individual man by stating the species to which he belonged1 than we should of an individual horse by adopting the same method of definition4 ,in the same way1 of primary substances1 no one is more truly substance than another2 an individual man is not more truly substance than an individual ox4 ,it is1 then1 with good reason that of all that remains1 when we exclude primary substances1 we concede to species and genera alone the name 'secondary substance'1 for these alone of all the predicates convey a knowledge of primary substance4 ,for it is by stating the species or the genus that we appropriately define any individual man2 and we shall make our definition more exact by stating the former than by stating the latter4 ,all other things that we state1 such as that he is white1 that he runs1 and so on1 are irrelevant to the definition4 ,thus it is just that these alone1 apart from primary substances1 should be called substances4 ,further1 primary substances are most properly so called1 because they underlie and are the subjects of everything else4 ,now the same relation that subsists between primary substance and everything else subsists also between the species and the genus to which the primary substance belongs1 on the one hand1 and every attribute which is not included within these1 on the other4 ,for these are the subjects of all such4 ,if we call an individual man 'skilled in grammar'1 the predicate is applicable also to the species and to the genus to which he belongs4 ,this law holds good in all cases4 ,it is a common characteristic of all substance that it is never present in a subject4 ,for primary substance is neither present in a subject nor predicated of a subject2 while1 with regard to secondary substances1 it is clear from the following arguments 7apart from others7 that they are not present in a subject4 ,for 'man' is predicated of the individual man1 but is not present in any subject3 for manhood is not present in the individual man4 ,in the same way1 'animal' is also predicated of the individual man1 but is not present in him4 ,again1 when a thing is present in a subject1 though the name may quite well be applied to that in which it is present1 the definition cannot be applied4 ,yet of secondary substances1 not only the name1 but also the definition1 applies to the subject3 we should use both the definition of the species and that of the genus with reference to the individual man4 ,thus substance cannot be present in a subject4 ,yet this is not peculiar to substance1 for it is also the case that differentiae cannot be present in subjects4 ,the characteristics 'terrestrial' and 'two-footed' are predicated of the species 'man'1 but not present in it4 ,for they are not in man4 ,moreover1 the definition of the differentia may be predicated of that of which the differentia itself is predicated4 ,for instance1 if the characteristic 'terrestrial' is predicated of the species 'man'1 the definition also of that characteristic may be used to form the predicate of the species 'man'3 for 'man' is terrestrial4 ,the fact that the parts of substances appear to be present in the whole1 as in a subject1 should not make us apprehensive lest we should have to admit that such parts are not substances3 for in explaining the phrase 'being present in a subject'1 we stated' that we meant 'otherwise than as parts in a whole'4 ,it is the mark of substances and of differentiae that1 in all propositions of which they form the predicate1 they are predicated univocally4 ,for all such propositions have for their subject either the individual or the species4 ,it is true that1 inasmuch as primary substance is not predicable of anything1 it can never form the predicate of any proposition4 ,but of secondary substances1 the species is predicated of the individual1 the genus both of the species and of the individual4 ,similarly the differentiae are predicated of the species and of the individuals4 ,moreover1 the definition of the species and that of the genus are applicable to the primary substance1 and that of the genus to the species4 ,for all that is predicated of the predicate will be predicated also of the subject4 ,similarly1 the definition of the differentiae will be applicable to the species and to the individuals4 ,but it was stated above that the word 'univocal' was applied to those things which had both name and definition in common4 ,it is1 therefore1 established that in every proposition1 of which either substance or a differentia forms the predicate1 these are predicated univocally4 ,all substance appears to signify that which is individual4 ,in the case of primary substance this is indisputably true1 for the thing is a unit4 ,in the case of secondary substances1 when we speak1 for instance1 of 'man' or 'animal'1 our form of speech gives the impression that we are here also indicating that which is individual1 but the impression is not strictly true2 for a secondary substance is not an individual1 but a class with a certain qualification2 for it is not one and single as a primary substance is2 the words 'man'1 'animal'1 are predicable of more than one subject4 ,yet species and genus do not merely indicate quality1 like the term 'white'2 'white' indicates quality and nothing further1 but species and genus determine the quality with reference to a substance3 they signify substance qualitatively differentiated4 ,the determinate qualification covers a larger field in the case of the genus that in that of the species3 he who uses the word 'animal' is herein using a word of wider extension than he who uses the word 'man'4 ,another mark of substance is that it has no contrary4 ,what could be the contrary of any primary substance1 such as the individual man or animal8 ,it has none4 ,nor can the species or the genus have a contrary4 ,yet this characteristic is not peculiar to substance1 but is true of many other things1 such as quantity4 ,there is nothing that forms the contrary of 'two cubits long' or of 'three cubits long'1 or of 'ten'1 or of any such term4 ,a man may contend that 'much' is the contrary of 'little'1 or 'great' of 'small'1 but of definite quantitative terms no contrary exists4 ,substance1 again1 does not appear to admit of variation of degree4 ,i do not mean by this that one substance cannot be more or less truly substance than another1 for it has already been stated that this is the case2 but that no single substance admits of varying degrees within itself4 ,for instance1 one particular substance1 'man'1 cannot be more or less man either than himself at some other time or than some other man4 ,one man cannot be more man than another1 as that which is white may be more or less white than some other white object1 or as that which is beautiful may be more or less beautiful than some other beautiful object4 ,the same quality1 moreover1 is said to subsist in a thing in varying degrees at different times4 ,a body1 being white1 is said to be whiter at one time than it was before1 or1 being warm1 is said to be warmer or less warm than at some other time4 ,but substance is not said to be more or less that which it is3 a man is not more truly a man at one time than he was before1 nor is anything1 if it is substance1 more or less what it is4 ,substance1 then1 does not admit of variation of degree4 ,the most distinctive mark of substance appears to be that1 while remaining numerically one and the same1 it is capable of admitting contrary qualities4 ,from among things other than substance1 we should find ourselves unable to bring forward any which possessed this mark4 ,thus1 one and the same colour cannot be white and black4 ,nor can the same one action be good and bad3 this law holds good with everything that is not substance4 ,but one and the selfsame substance1 while retaining its identity1 is yet capable of admitting contrary qualities4 ,the same individual person is at one time white1 at another black1 at one time warm1 at another cold1 at one time good1 at another bad4 ,this capacity is found nowhere else1 though it might be maintained that a statement or opinion was an exception to the rule4 ,the same statement1 it is agreed1 can be both true and false4 ,for if the statement 'he is sitting' is true1 yet1 when the person in question has risen1 the same statement will be false4 ,the same applies to opinions4 ,for if any one thinks truly that a person is sitting1 yet1 when that person has risen1 this same opinion1 if still held1 will be false4 ,yet although this exception may be allowed1 there is1 nevertheless1 a difference in the manner in which the thing takes place4 ,it is by themselves changing that substances admit contrary qualities4 ,it is thus that that which was hot becomes cold1 for it has entered into a different state4 ,similarly that which was white becomes black1 and that which was bad good1 by a process of change2 and in the same way in all other cases it is by changing that substances are capable of admitting contrary qualities4 ,but statements and opinions themselves remain unaltered in all respects3 it is by the alteration in the facts of the case that the contrary quality comes to be theirs4 ,the statement 'he is sitting' remains unaltered1 but it is at one time true1 at another false1 according to circumstances4 ,what has been said of statements applies also to opinions4 ,thus1 in respect of the manner in which the thing takes place1 it is the peculiar mark of substance that it should be capable of admitting contrary qualities2 for it is by itself changing that it does so4 ,if1 then1 a man should make this exception and contend that statements and opinions are capable of admitting contrary qualities1 his contention is unsound4 ,for statements and opinions are said to have this capacity1 not because they themselves undergo modification1 but because this modification occurs in the case of something else4 ,the truth or falsity of a statement depends on facts1 and not on any power on the part of the statement itself of admitting contrary qualities4 ,in short1 there is nothing which can alter the nature of statements and opinions4 ,as1 then1 no change takes place in themselves1 these cannot be said to be capable of admitting contrary qualities4 ,but it is by reason of the modification which takes place within the substance itself that a substance is said to be capable of admitting contrary qualities2 for a substance admits within itself either disease or health1 whiteness or blackness4 ,it is in this sense that it is said to be capable of admitting contrary qualities4 ,to sum up1 it is a distinctive mark of substance1 that1 while remaining numerically one and the same1 it is capable of admitting contrary qualities1 the modification taking place through a change in the substance itself4 ,let these remarks suffice on the subject of substance4 ,part #f ,quantity is either discrete or continuous4 ,moreover1 some quantities are such that each part of the whole has a relative position to the other parts3 others have within them no such relation of part to part4 ,instances of discrete quantities are number and speech2 of continuous1 lines1 surfaces1 solids1 and1 besides these1 time and place4 ,in the case of the parts of a number1 there is no common boundary at which they join4 ,for example3 two fives make ten1 but the two fives have no common boundary1 but are separate2 the parts three and seven also do not join at any boundary4 ,nor1 to generalize1 would it ever be possible in the case of number that there should be a common boundary among the parts2 they are always separate4 ,number1 therefore1 is a discrete quantity4 ,the same is true of speech4 ,that speech is a quantity is evident3 for it is measured in long and short syllables4 ,i mean here that speech which is vocal4 ,moreover1 it is a discrete quantity for its parts have no common boundary4 ,there is no common boundary at which the syllables join1 but each is separate and distinct from the rest4 ,a line1 on the other hand1 is a continuous quantity1 for it is possible to find a common boundary at which its parts join4 ,in the case of the line1 this common boundary is the point2 in the case of the plane1 it is the line3 for the parts of the plane have also a common boundary4 ,similarly you can find a common boundary in the case of the parts of a solid1 namely either a line or a plane4 ,space and time also belong to this class of quantities4 ,time1 past1 present1 and future1 forms a continuous whole4 ,space1 likewise1 is a continuous quantity2 for the parts of a solid occupy a certain space1 and these have a common boundary2 it follows that the parts of space also1 which are occupied by the parts of the solid1 have the same common boundary as the parts of the solid4 ,thus1 not only time1 but space also1 is a continuous quantity1 for its parts have a common boundary4 ,quantities consist either of parts which bear a relative position each to each1 or of parts which do not4 ,the parts of a line bear a relative position to each other1 for each lies somewhere1 and it would be possible to distinguish each1 and to state the position of each on the plane and to explain to what sort of part among the rest each was contiguous4 ,similarly the parts of a plane have position1 for it could similarly be stated what was the position of each and what sort of parts were contiguous4 ,the same is true with regard to the solid and to space4 ,but it would be impossible to show that the parts of a number had a relative position each to each1 or a particular position1 or to state what parts were contiguous4 ,nor could this be done in the case of time1 for none of the parts of time has an abiding existence1 and that which does not abide can hardly have position4 ,it would be better to say that such parts had a relative order1 in virtue of one being prior to another4 ,similarly with number3 in counting1 'one' is prior to 'two'1 and 'two' to 'three'1 and thus the parts of number may be said to possess a relative order1 though it would be impossible to discover any distinct position for each4 ,this holds good also in the case of speech4 ,none of its parts has an abiding existence3 when once a syllable is pronounced1 it is not possible to retain it1 so that1 naturally1 as the parts do not abide1 they cannot have position4 ,thus1 some quantities consist of parts which have position1 and some of those which have not4 ,strictly speaking1 only the things which ,i have mentioned belong to the category of quantity3 everything else that is called quantitative is a quantity in a secondary sense4 ,it is because we have in mind some one of these quantities1 properly so called1 that we apply quantitative terms to other things4 ,we speak of what is white as large1 because the surface over which the white extends is large2 we speak of an action or a process as lengthy1 because the time covered is long2 these things cannot in their own right claim the quantitative epithet4 ,for instance1 should any one explain how long an action was1 his statement would be made in terms of the time taken1 to the effect that it lasted a year1 or something of that sort4 ,in the same way1 he would explain the size of a white object in terms of surface1 for he would state the area which it covered4 ,thus the things already mentioned1 and these alone1 are in their intrinsic nature quantities2 nothing else can claim the name in its own right1 but1 if at all1 only in a secondary sense4 ,quantities have no contraries4 ,in the case of definite quantities this is obvious2 thus1 there is nothing that is the contrary of 'two cubits long' or of 'three cubits long'1 or of a surface1 or of any such quantities4 ,a man might1 indeed1 argue that 'much' was the contrary of 'little'1 and 'great' of 'small'4 ,but these are not quantitative1 but relative2 things are not great or small absolutely1 they are so called rather as the result of an act of comparison4 ,for instance1 a mountain is called small1 a grain large1 in virtue of the fact that the latter is greater than others of its kind1 the former less4 ,thus there is a reference here to an external standard1 for if the terms 'great' and 'small' were used absolutely1 a mountain would never be called small or a grain large4 ,again1 we say that there are many people in a village1 and few in ,athens1 although those in the city are many times as numerous as those in the village3 or we say that a house has many in it1 and a theatre few1 though those in the theatre far outnumber those in the house4 ,the terms 'two cubits long'1 'three cubits long'1 and so on indicate quantity1 the terms 'great' and 'small' indicate relation1 for they have reference to an external standard4 ,it is1 therefore1 plain that these are to be classed as relative4 ,again1 whether we define them as quantitative or not1 they have no contraries3 for how can there be a contrary of an attribute which is not to be apprehended in or by itself1 but only by reference to something external8 ,again1 if 'great' and 'small' are contraries1 it will come about that the same subject can admit contrary qualities at one and the same time1 and that things will themselves be contrary to themselves4 ,for it happens at times that the same thing is both small and great4 ,for the same thing may be small in comparison with one thing1 and great in comparison with another1 so that the same thing comes to be both small and great at one and the same time1 and is of such a nature as to admit contrary qualities at one and the same moment4 ,yet it was agreed1 when substance was being discussed1 that nothing admits contrary qualities at one and the same moment4 ,for though substance is capable of admitting contrary qualities1 yet no one is at the same time both sick and healthy1 nothing is at the same time both white and black4 ,nor is there anything which is qualified in contrary ways at one and the same time4 ,moreover1 if these were contraries1 they would themselves be contrary to themselves4 ,for if 'great' is the contrary of 'small'1 and the same thing is both great and small at the same time1 then 'small' or 'great' is the contrary of itself4 ,but this is impossible4 ,the term 'great'1 therefore1 is not the contrary of the term 'small'1 nor 'much' of 'little'4 ,and even though a man should call these terms not relative but quantitative1 they would not have contraries4 ,it is in the case of space that quantity most plausibly appears to admit of a contrary4 ,for men define the term 'above' as the contrary of 'below'1 when it is the region at the centre they mean by 'below'2 and this is so1 because nothing is farther from the extremities of the universe than the region at the centre4 ,indeed1 it seems that in defining contraries of every kind men have recourse to a spatial metaphor1 for they say that those things are contraries which1 within the same class1 are separated by the greatest possible distance4 ,quantity does not1 it appears1 admit of variation of degree4 ,one thing cannot be two cubits long in a greater degree than another4 ,similarly with regard to number3 what is 'three' is not more truly three than what is 'five' is five2 nor is one set of three more truly three than another set4 ,again1 one period of time is not said to be more truly time than another4 ,nor is there any other kind of quantity1 of all that have been mentioned1 with regard to which variation of degree can be predicated4 ,the category of quantity1 therefore1 does not admit of variation of degree4 ,the most distinctive mark of quantity is that equality and inequality are predicated of it4 ,each of the aforesaid quantities is said to be equal or unequal4 ,for instance1 one solid is said to be equal or unequal to another2 number1 too1 and time can have these terms applied to them1 indeed can all those kinds of quantity that have been mentioned4 ,that which is not a quantity can by no means1 it would seem1 be termed equal or unequal to anything else4 ,one particular disposition or one particular quality1 such as whiteness1 is by no means compared with another in terms of equality and inequality but rather in terms of similarity4 ,thus it is the distinctive mark of quantity that it can be called equal and unequal4 ,section #b ,part #g ,those things are called relative1 which1 being either said to be of something else or related to something else1 are explained by reference to that other thing4 ,for instance1 the word 'superior' is explained by reference to something else1 for it is superiority over something else that is meant4 ,similarly1 the expression 'double' has this external reference1 for it is the double of something else that is meant4 ,so it is with everything else of this kind4 ,there are1 moreover1 other relatives1 e4g4 habit1 disposition1 perception1 knowledge1 and attitude4 ,the significance of all these is explained by a reference to something else and in no other way4 ,thus1 a habit is a habit of something1 knowledge is knowledge of something1 attitude is the attitude of something4 ,so it is with all other relatives that have been mentioned4 ,those terms1 then1 are called relative1 the nature of which is explained by reference to something else1 the preposition 'of' or some other preposition being used to indicate the relation4 ,thus1 one mountain is called great in comparison with another2 for the mountain claims this attribute by comparison with something4 ,again1 that which is called similar must be similar to something else1 and all other such attributes have this external reference4 ,it is to be noted that lying and standing and sitting are particular attitudes1 but attitude is itself a relative term4 ,to lie1 to stand1 to be seated1 are not themselves attitudes1 but take their name from the aforesaid attitudes4 ,it is possible for relatives to have contraries4 ,thus virtue has a contrary1 vice1 these both being relatives2 knowledge1 too1 has a contrary1 ignorance4 ,but this is not the mark of all relatives2 'double' and 'triple' have no contrary1 nor indeed has any such term4 ,it also appears that relatives can admit of variation of degree4 ,for 'like' and 'unlike'1 'equal' and 'unequal'1 have the modifications 'more' and 'less' applied to them1 and each of these is relative in character3 for the terms 'like' and 'unequal' bear a reference to something external4 ,yet1 again1 it is not every relative term that admits of variation of degree4 ,no term such as 'double' admits of this modification4 ,all relatives have correlatives3 by the term 'slave' we mean the slave of a master1 by the term 'master'1 the master of a slave2 by 'double'1 the double of its half2 by 'half'1 the half of its double2 by 'greater'1 greater than that which is less2 by 'less'1 less than that which is greater4 ,so it is with every other relative term2 but the case we use to express the correlation differs in some instances4 ,thus1 by knowledge we mean knowledge of the knowable2 by the knowable1 that which is to be apprehended by knowledge2 by perception1 perception of the perceptible2 by the perceptible1 that which is apprehended by perception4 ,sometimes1 however1 reciprocity of correlation does not appear to exist4 ,this comes about when a blunder is made1 and that to which the relative is related is not accurately stated4 ,if a man states that a wing is necessarily relative to a bird1 the connexion between these two will not be reciprocal1 for it will not be possible to say that a bird is a bird by reason of its wings4 ,the reason is that the original statement was inaccurate1 for the wing is not said to be relative to the bird qua bird1 since many creatures besides birds have wings1 but qua winged creature4 ,if1 then1 the statement is made accurate1 the connexion will be reciprocal1 for we can speak of a wing1 having reference necessarily to a winged creature1 and of a winged creature as being such because of its wings4 ,occasionally1 perhaps1 it is necessary to coin words1 if no word exists by which a correlation can adequately be explained4 ,if we define a rudder as necessarily having reference to a boat1 our definition will not be appropriate1 for the rudder does not have this reference to a boat qua boat1 as there are boats which have no rudders4 ,thus we cannot use the terms reciprocally1 for the word 'boat' cannot be said to find its explanation in the word 'rudder'4 ,as there is no existing word1 our definition would perhaps be more accurate if we coined some word like 'ruddered' as the correlative of 'rudder'4 ,if we express ourselves thus accurately1 at any rate the terms are reciprocally connected1 for the 'ruddered' thing is 'ruddered' in virtue of its rudder4 ,so it is in all other cases4 ,a head will be more accurately defined as the correlative of that which is 'headed'1 than as that of an animal1 for the animal does not have a head qua animal1 since many animals have no head4 ,thus we may perhaps most easily comprehend that to which a thing is related1 when a name does not exist1 if1 from that which has a name1 we derive a new name1 and apply it to that with which the first is reciprocally connected1 as in the aforesaid instances1 when we derived the word 'winged' from 'wing' and from 'rudder'4 ,all relatives1 then1 if properly defined1 have a correlative4 ,i add this condition because1 if that to which they are related is stated as haphazard and not accurately1 the two are not found to be interdependent4 ,let me state what ,i mean more clearly4 ,even in the case of acknowledged correlatives1 and where names exist for each1 there will be no interdependence if one of the two is denoted1 not by that name which expresses the correlative notion1 but by one of irrelevant significance4 ,the term 'slave'1 if defined as related1 not to a master1 but to a man1 or a biped1 or anything of that sort1 is not reciprocally connected with that in relation to which it is defined1 for the statement is not exact4 ,further1 if one thing is said to be correlative with another1 and the terminology used is correct1 then1 though all irrelevant attributes should be removed1 and only that one attribute left in virtue of which it was correctly stated to be correlative with that other1 the stated correlation will still exist4 ,if the correlative of 'the slave' is said to be 'the master'1 then1 though all irrelevant attributes of the said 'master'1 such as 'biped'1 'receptive of knowledge'1 'human'1 should be removed1 and the attribute 'master' alone left1 the stated correlation existing between him and the slave will remain the same1 for it is of a master that a slave is said to be the slave4 ,on the other hand1 if1 of two correlatives1 one is not correctly termed1 then1 when all other attributes are removed and that alone is left in virtue of which it was stated to be correlative1 the stated correlation will be found to have disappeared4 ,for suppose the correlative of 'the slave' should be said to be 'the man'1 or the correlative of 'the wing' is 'the bird'2 if the attribute 'master' be withdrawn from 'the man'1 the correlation between 'the man' and 'the slave' will cease to exist1 for if the man is not a master1 the slave is not a slave4 ,similarly1 if the attribute 'winged' be withdrawn from 'the bird'1 'the wing' will no longer be relative2 for if the so-called correlative is not winged1 it follows that 'the wing' has no correlative4 ,thus it is essential that the correlated terms should be exactly designated2 if there is a name existing1 the statement will be easy2 if not1 it is doubtless our duty to construct names4 ,when the terminology is thus correct1 it is evident that all correlatives are interdependent4 ,correlatives are thought to come into existence simultaneously4 ,this is for the most part true1 as in the case of the double and the half4 ,the existence of the half necessitates the existence of that of which it is a half4 ,similarly the existence of a master necessitates the existence of a slave1 and that of a slave implies that of a master2 these are merely instances of a general rule4 ,moreover1 they cancel one another2 for if there is no double it follows that there is no half1 and vice versa2 this rule also applies to all such correlatives4 ,yet it does not appear to be true in all cases that correlatives come into existence simultaneously4 ,the object of knowledge would appear to exist before knowledge itself1 for it is usually the case that we acquire knowledge of objects already existing2 it would be difficult1 if not impossible1 to find a branch of knowledge the beginning of the existence of which was contemporaneous with that of its object4 ,again1 while the object of knowledge1 if it ceases to exist1 cancels at the same time the knowledge which was its correlative1 the converse of this is not true4 ,it is true that if the object of knowledge does not exist there can be no knowledge3 for there will no longer be anything to know4 ,yet it is equally true that1 if knowledge of a certain object does not exist1 the object may nevertheless quite well exist4 ,thus1 in the case of the squaring of the circle1 if indeed that process is an object of knowledge1 though it itself exists as an object of knowledge1 yet the knowledge of it has not yet come into existence4 ,again1 if all animals ceased to exist1 there would be no knowledge1 but there might yet be many objects of knowledge4 ,this is likewise the case with regard to perception3 for the object of perception is1 it appears1 prior to the act of perception4 ,if the perceptible is annihilated1 perception also will cease to exist2 but the annihilation of perception does not cancel the existence of the perceptible4 ,for perception implies a body perceived and a body in which perception takes place4 ,now if that which is perceptible is annihilated1 it follows that the body is annihilated1 for the body is a perceptible thing2 and if the body does not exist1 it follows that perception also ceases to exist4 ,thus the annihilation of the perceptible involves that of perception4 ,but the annihilation of perception does not involve that of the perceptible4 ,for if the animal is annihilated1 it follows that perception also is annihilated1 but perceptibles such as body1 heat1 sweetness1 bitterness1 and so on1 will remain4 ,again1 perception is generated at the same time as the perceiving subject1 for it comes into existence at the same time as the animal4 ,but the perceptible surely exists before perception2 for fire and water and such elements1 out of which the animal is itself composed1 exist before the animal is an animal at all1 and before perception4 ,thus it would seem that the perceptible exists before perception4 ,it may be questioned whether it is true that no substance is relative1 as seems to be the case1 or whether exception is to be made in the case of certain secondary substances4 ,with regard to primary substances1 it is quite true that there is no such possibility1 for neither wholes nor parts of primary substances are relative4 ,the individual man or ox is not defined with reference to something external4 ,similarly with the parts3 a particular hand or head is not defined as a particular hand or head of a particular person1 but as the hand or head of a particular person4 ,it is true also1 for the most part at least1 in the case of secondary substances2 the species 'man' and the species 'ox' are not defined with reference to anything outside themselves4 ,wood1 again1 is only relative in so far as it is some one's property1 not in so far as it is wood4 ,it is plain1 then1 that in the cases mentioned substance is not relative4 ,but with regard to some secondary substances there is a difference of opinion2 thus1 such terms as 'head' and 'hand' are defined with reference to that of which the things indicated are a part1 and so it comes about that these appear to have a relative character4 ,indeed1 if our definition of that which is relative was complete1 it is very difficult1 if not impossible1 to prove that no substance is relative4 ,if1 however1 our definition was not complete1 if those things only are properly called relative in the case of which relation to an external object is a necessary condition of existence1 perhaps some explanation of the dilemma may be found4 ,the former definition does indeed apply to all relatives1 but the fact that a thing is explained with reference to something else does not make it essentially relative4 ,from this it is plain that1 if a man definitely apprehends a relative thing1 he will also definitely apprehend that to which it is relative4 ,indeed this is self-evident3 for if a man knows that some particular thing is relative1 assuming that we call that a relative in the case of which relation to something is a necessary condition of existence1 he knows that also to which it is related4 ,for if he does not know at all that to which it is related1 he will not know whether or not it is relative4 ,this is clear1 moreover1 in particular instances4 ,if a man knows definitely that such and such a thing is 'double'1 he will also forthwith know definitely that of which it is the double4 ,for if there is nothing definite of which he knows it to be the double1 he does not know at all that it is double4 ,again1 if he knows that a thing is more beautiful1 it follows necessarily that he will forthwith definitely know that also than which it is more beautiful4 ,he will not merely know indefinitely that it is more beautiful than something which is less beautiful1 for this would be supposition1 not knowledge4 ,for if he does not know definitely that than which it is more beautiful1 he can no longer claim to know definitely that it is more beautiful than something else which is less beautiful3 for it might be that nothing was less beautiful4 ,it is1 therefore1 evident that if a man apprehends some relative thing definitely1 he necessarily knows that also definitely to which it is related4 ,now the head1 the hand1 and such things are substances1 and it is possible to know their essential character definitely1 but it does not necessarily follow that we should know that to which they are related4 ,it is not possible to know forthwith whose head or hand is meant4 ,thus these are not relatives1 and1 this being the case1 it would be true to say that no substance is relative in character4 ,it is perhaps a difficult matter1 in such cases1 to make a positive statement without more exhaustive examination1 but to have raised questions with regard to details is not without advantage4 ,part #h ,by 'quality' ,i mean that in virtue of which people are said to be such and such4 ,quality is a term that is used in many senses4 ,one sort of quality let us call 'habit' or 'disposition'4 ,habit differs from disposition in being more lasting and more firmly established4 ,the various kinds of knowledge and of virtue are habits1 for knowledge1 even when acquired only in a moderate degree1 is1 it is agreed1 abiding in its character and difficult to displace1 unless some great mental upheaval takes place1 through disease or any such cause4 ,the virtues1 also1 such as justice1 self-restraint1 and so on1 are not easily dislodged or dismissed1 so as to give place to vice4 ,by a disposition1 on the other hand1 we mean a condition that is easily changed and quickly gives place to its opposite4 ,thus1 heat1 cold1 disease1 health1 and so on are dispositions4 ,for a man is disposed in one way or another with reference to these1 but quickly changes1 becoming cold instead of warm1 ill instead of well4 ,so it is with all other dispositions also1 unless through lapse of time a disposition has itself become inveterate and almost impossible to dislodge3 in which case we should perhaps go so far as to call it a habit4 ,it is evident that men incline to call those conditions habits which are of a more or less permanent type and difficult to displace2 for those who are not retentive of knowledge1 but volatile1 are not said to have such and such a 'habit' as regards knowledge1 yet they are disposed1 we may say1 either better or worse1 towards knowledge4 ,thus habit differs from disposition in this1 that while the latter in ephemeral1 the former is permanent and difficult to alter4 ,habits are at the same time dispositions1 but dispositions are not necessarily habits4 ,for those who have some specific habit may be said also1 in virtue of that habit1 to be thus or thus disposed2 but those who are disposed in some specific way have not in all cases the corresponding habit4 ,another sort of quality is that in virtue of which1 for example1 we call men good boxers or runners1 or healthy or sickly3 in fact it includes all those terms which refer to inborn capacity or incapacity4 ,such things are not predicated of a person in virtue of his disposition1 but in virtue of his inborn capacity or incapacity to do something with ease or to avoid defeat of any kind4 ,persons are called good boxers or good runners1 not in virtue of such and such a disposition1 but in virtue of an inborn capacity to accomplish something with ease4 ,men are called healthy in virtue of the inborn capacity of easy resistance to those unhealthy influences that may ordinarily arise2 unhealthy1 in virtue of the lack of this capacity4 ,similarly with regard to softness and hardness4 ,hardness is predicated of a thing because it has that capacity of resistance which enables it to withstand disintegration2 softness1 again1 is predicated of a thing by reason of the lack of that capacity4 ,a third class within this category is that of affective qualities and affections4 ,sweetness1 bitterness1 sourness1 are examples of this sort of quality1 together with all that is akin to these2 heat1 moreover1 and cold1 whiteness1 and blackness are affective qualities4 ,it is evident that these are qualities1 for those things that possess them are themselves said to be such and such by reason of their presence4 ,honey is called sweet because it contains sweetness2 the body is called white because it contains whiteness2 and so in all other cases4 ,the term 'affective quality' is not used as indicating that those things which admit these qualities are affected in any way4 ,honey is not called sweet because it is affected in a specific way1 nor is this what is meant in any other instance4 ,similarly heat and cold are called affective qualities1 not because those things which admit them are affected4 ,what is meant is that these said qualities are capable of producing an 'affection' in the way of perception4 ,for sweetness has the power of affecting the sense of taste2 heat1 that of touch2 and so it is with the rest of these qualities4 ,whiteness and blackness1 however1 and the other colours1 are not said to be affective qualities in this sense1 but because they themselves are the results of an affection4 ,it is plain that many changes of colour take place because of affections4 ,when a man is ashamed1 he blushes2 when he is afraid1 he becomes pale1 and so on4 ,so true is this1 that when a man is by nature liable to such affections1 arising from some concomitance of elements in his constitution1 it is a probable inference that he has the corresponding complexion of skin4 ,for the same disposition of bodily elements1 which in the former instance was momentarily present in the case of an access of shame1 might be a result of a man's natural temperament1 so as to produce the corresponding colouring also as a natural characteristic4 ,all conditions1 therefore1 of this kind1 if caused by certain permanent and lasting affections1 are called affective qualities4 ,for pallor and duskiness of complexion are called qualities1 inasmuch as we are said to be such and such in virtue of them1 not only if they originate in natural constitution1 but also if they come about through long disease or sunburn1 and are difficult to remove1 or indeed remain throughout life4 ,for in the same way we are said to be such and such because of these4 ,those conditions1 however1 which arise from causes which may easily be rendered ineffective or speedily removed1 are called1 not qualities1 but affections3 for we are not said to be such in virtue of them4 ,the man who blushes through shame is not said to be a constitutional blusher1 nor is the man who becomes pale through fear said to be constitutionally pale4 ,he is said rather to have been affected4 ,thus such conditions are called affections1 not qualities4 ,in like manner there are affective qualities and affections of the soul4 ,that temper with which a man is born and which has its origin in certain deep-seated affections is called a quality4 ,i mean such conditions as insanity1 irascibility1 and so on3 for people are said to be mad or irascible in virtue of these4 ,similarly those abnormal psychic states which are not inborn1 but arise from the concomitance of certain other elements1 and are difficult to remove1 or altogether permanent1 are called qualities1 for in virtue of them men are said to be such and such4 ,those1 however1 which arise from causes easily rendered ineffective are called affections1 not qualities4 ,suppose that a man is irritable when vexed3 he is not even spoken of as a bad-tempered man1 when in such circumstances he loses his temper somewhat1 but rather is said to be affected4 ,such conditions are therefore termed1 not qualities1 but affections4 ,the fourth sort of quality is figure and the shape that belongs to a thing2 and besides this1 straightness and curvedness and any other qualities of this type2 each of these defines a thing as being such and such4 ,because it is triangular or quadrangular a thing is said to have a specific character1 or again because it is straight or curved2 in fact a thing's shape in every case gives rise to a qualification of it4 ,rarity and density1 roughness and smoothness1 seem to be terms indicating quality3 yet these1 it would appear1 really belong to a class different from that of quality4 ,for it is rather a certain relative position of the parts composing the thing thus qualified which1 it appears1 is indicated by each of these terms4 ,a thing is dense1 owing to the fact that its parts are closely combined with one another2 rare1 because there are interstices between the parts2 smooth1 because its parts lie1 so to speak1 evenly2 rough1 because some parts project beyond others4 ,there may be other sorts of quality1 but those that are most properly so called have1 we may safely say1 been enumerated4 ,these1 then1 are qualities1 and the things that take their name from them as derivatives1 or are in some other way dependent on them1 are said to be qualified in some specific way4 ,in most1 indeed in almost all cases1 the name of that which is qualified is derived from that of the quality4 ,thus the terms 'whiteness'1 'grammar'1 'justice'1 give us the adjectives 'white'1 'grammatical'1 'just'1 and so on4 ,there are some cases1 however1 in which1 as the quality under consideration has no name1 it is impossible that those possessed of it should have a name that is derivative4 ,for instance1 the name given to the runner or boxer1 who is so called in virtue of an inborn capacity1 is not derived from that of any quality2 for both those capacities have no name assigned to them4 ,in this1 the inborn capacity is distinct from the science1 with reference to which men are called1 e4g4 boxers or wrestlers4 ,such a science is classed as a disposition2 it has a name1 and is called 'boxing' or 'wrestling' as the case may be1 and the name given to those disposed in this way is derived from that of the science4 ,sometimes1 even though a name exists for the quality1 that which takes its character from the quality has a name that is not a derivative4 ,for instance1 the upright man takes his character from the possession of the quality of integrity1 but the name given him is not derived from the word 'integrity'4 ,yet this does not occur often4 ,we may therefore state that those things are said to be possessed of some specific quality which have a name derived from that of the aforesaid quality1 or which are in some other way dependent on it4 ,one quality may be the contrary of another2 thus justice is the contrary of injustice1 whiteness of blackness1 and so on4 ,the things1 also1 which are said to be such and such in virtue of these qualities1 may be contrary the one to the other2 for that which is unjust is contrary to that which is just1 that which is white to that which is black4 ,this1 however1 is not always the case4 ,red1 yellow1 and such colours1 though qualities1 have no contraries4 ,if one of two contraries is a quality1 the other will also be a quality4 ,this will be evident from particular instances1 if we apply the names used to denote the other categories2 for instance1 granted that justice is the contrary of injustice and justice is a quality1 injustice will also be a quality3 neither quantity1 nor relation1 nor place1 nor indeed any other category but that of quality1 will be applicable properly to injustice4 ,so it is with all other contraries falling under the category of quality4 ,qualities admit of variation of degree4 ,whiteness is predicated of one thing in a greater or less degree than of another4 ,this is also the case with reference to justice4 ,moreover1 one and the same thing may exhibit a quality in a greater degree than it did before3 if a thing is white1 it may become whiter4 ,though this is generally the case1 there are exceptions4 ,for if we should say that justice admitted of variation of degree1 difficulties might ensue1 and this is true with regard to all those qualities which are dispositions4 ,there are some1 indeed1 who dispute the possibility of variation here4 ,they maintain that justice and health cannot very well admit of variation of degree themselves1 but that people vary in the degree in which they possess these qualities1 and that this is the case with grammatical learning and all those qualities which are classed as dispositions4 ,however that may be1 it is an incontrovertible fact that the things which in virtue of these qualities are said to be what they are vary in the degree in which they possess them2 for one man is said to be better versed in grammar1 or more healthy or just1 than another1 and so on4 ,the qualities expressed by the terms 'triangular' and 'quadrangular' do not appear to admit of variation of degree1 nor indeed do any that have to do with figure4 ,for those things to which the definition of the triangle or circle is applicable are all equally triangular or circular4 ,those1 on the other hand1 to which the same definition is not applicable1 cannot be said to differ from one another in degree2 the square is no more a circle than the rectangle1 for to neither is the definition of the circle appropriate4 ,in short1 if the definition of the term proposed is not applicable to both objects1 they cannot be compared4 ,thus it is not all qualities which admit of variation of degree4 ,whereas none of the characteristics ,i have mentioned are peculiar to quality1 the fact that likeness and unlikeness can be predicated with reference to quality only1 gives to that category its distinctive feature4 ,one thing is like another only with reference to that in virtue of which it is such and such2 thus this forms the peculiar mark of quality4 ,we must not be disturbed because it may be argued that1 though proposing to discuss the category of quality1 we have included in it many relative terms4 ,we did say that habits and dispositions were relative4 ,in practically all such cases the genus is relative1 the individual not4 ,thus knowledge1 as a genus1 is explained by reference to something else1 for we mean a knowledge of something4 ,but particular branches of knowledge are not thus explained4 ,the knowledge of grammar is not relative to anything external1 nor is the knowledge of music1 but these1 if relative at all1 are relative only in virtue of their genera2 thus grammar is said be the knowledge of something1 not the grammar of something2 similarly music is the knowledge of something1 not the music of something4 ,thus individual branches of knowledge are not relative4 ,and it is because we possess these individual branches of knowledge that we are said to be such and such4 ,it is these that we actually possess3 we are called experts because we possess knowledge in some particular branch4 ,those particular branches1 therefore1 of knowledge1 in virtue of which we are sometimes said to be such and such1 are themselves qualities1 and are not relative4 ,further1 if anything should happen to fall within both the category of quality and that of relation1 there would be nothing extraordinary in classing it under both these heads4 ,section #c ,part #i ,action and affection both admit of contraries and also of variation of degree4 ,heating is the contrary of cooling1 being heated of being cooled1 being glad of being vexed4 ,thus they admit of contraries4 ,they also admit of variation of degree3 for it is possible to heat in a greater or less degree2 also to be heated in a greater or less degree4 ,thus action and affection also admit of variation of degree4 ,so much1 then1 is stated with regard to these categories4 ,we spoke1 moreover1 of the category of position when we were dealing with that of relation1 and stated that such terms derived their names from those of the corresponding attitudes4 ,as for the rest1 time1 place1 state1 since they are easily intelligible1 ,i say no more about them than was said at the beginning1 that in the category of state are included such states as 'shod'1 'armed'1 in that of place 'in the ,lyceum' and so on1 as was explained before4 ,part #aj ,the proposed categories have1 then1 been adequately dealt with4 ,we must next explain the various senses in which the term 'opposite' is used4 ,things are said to be opposed in four senses3 7i7 as correlatives to one another1 7ii7 as contraries to one another1 7iii7 as privatives to positives1 7iv7 as affirmatives to negatives4 ,let me sketch my meaning in outline4 ,an instance of the use of the word 'opposite' with reference to correlatives is afforded by the expressions 'double' and 'half'2 with reference to contraries by 'bad' and 'good'4 ,opposites in the sense of 'privatives' and 'positives' are 'blindness' and 'sight'2 in the sense of affirmatives and negatives1 the propositions 'he sits'1 'he does not sit'4 7i7 ,pairs of opposites which fall under the category of relation are explained by a reference of the one to the other1 the reference being indicated by the preposition 'of' or by some other preposition4 ,thus1 double is a relative term1 for that which is double is explained as the double of something4 ,knowledge1 again1 is the opposite of the thing known1 in the same sense2 and the thing known also is explained by its relation to its opposite1 knowledge4 ,for the thing known is explained as that which is known by something1 that is1 by knowledge4 ,such things1 then1 as are opposite the one to the other in the sense of being correlatives are explained by a reference of the one to the other4 7ii7 ,pairs of opposites which are contraries are not in any way interdependent1 but are contrary the one to the other4 ,the good is not spoken of as the good of the bad1 but as the contrary of the bad1 nor is white spoken of as the white of the black1 but as the contrary of the black4 ,these two types of opposition are therefore distinct4 ,those contraries which are such that the subjects in which they are naturally present1 or of which they are predicated1 must necessarily contain either the one or the other of them1 have no intermediate1 but those in the case of which no such necessity obtains1 always have an intermediate4 ,thus disease and health are naturally present in the body of an animal1 and it is necessary that either the one or the other should be present in the body of an animal4 ,odd and even1 again1 are predicated of number1 and it is necessary that the one or the other should be present in numbers4 ,now there is no intermediate between the terms of either of these two pairs4 ,on the other hand1 in those contraries with regard to which no such necessity obtains1 we find an intermediate4 ,blackness and whiteness are naturally present in the body1 but it is not necessary that either the one or the other should be present in the body1 inasmuch as it is not true to say that everybody must be white or black4 ,badness and goodness1 again1 are predicated of man1 and of many other things1 but it is not necessary that either the one quality or the other should be present in that of which they are predicated3 it is not true to say that everything that may be good or bad must be either good or bad4 ,these pairs of contraries have intermediates3 the intermediates between white and black are grey1 sallow1 and all the other colours that come between2 the intermediate between good and bad is that which is neither the one nor the other4 ,some intermediate qualities have names1 such as grey and sallow and all the other colours that come between white and black2 in other cases1 however1 it is not easy to name the intermediate1 but we must define it as that which is not either extreme1 as in the case of that which is neither good nor bad1 neither just nor unjust4 7iii7 'privatives' and 'positives' have reference to the same subject4 ,thus1 sight and blindness have reference to the eye4 ,it is a universal rule that each of a pair of opposites of this type has reference to that to which the particular 'positive' is natural4 ,we say that that is capable of some particular faculty or possession has suffered privation when the faculty or possession in question is in no way present in that in which1 and at the time at which1 it should naturally be present4 ,we do not call that toothless which has not teeth1 or that blind which has not sight1 but rather that which has not teeth or sight at the time when by nature it should4 ,for there are some creatures which from birth are without sight1 or without teeth1 but these are not called toothless or blind4 ,to be without some faculty or to possess it is not the same as the corresponding 'privative' or 'positive'4 ',sight' is a 'positive'1 'blindness' a 'privative'1 but 'to possess sight' is not equivalent to 'sight'1 'to be blind' is not equivalent to 'blindness'4 ,blindness is a 'privative'1 to be blind is to be in a state of privation1 but is not a 'privative'4 ,moreover1 if 'blindness' were equivalent to 'being blind'1 both would be predicated of the same subject2 but though a man is said to be blind1 he is by no means said to be blindness4 ,to be in a state of 'possession' is1 it appears1 the opposite of being in a state of 'privation'1 just as 'positives' and 'privatives' themselves are opposite4 ,there is the same type of antithesis in both cases2 for just as blindness is opposed to sight1 so is being blind opposed to having sight4 ,that which is affirmed or denied is not itself affirmation or denial4 ,by 'affirmation' we mean an affirmative proposition1 by 'denial' a negative4 ,now1 those facts which form the matter of the affirmation or denial are not propositions2 yet these two are said to be opposed in the same sense as the affirmation and denial1 for in this case also the type of antithesis is the same4 ,for as the affirmation is opposed to the denial1 as in the two propositions 'he sits'1 'he does not sit'1 so also the fact which constitutes the matter of the proposition in one case is opposed to that in the other1 his sitting1 that is to say1 to his not sitting4 ,it is evident that 'positives' and 'privatives' are not opposed each to each in the same sense as relatives4 ,the one is not explained by reference to the other2 sight is not sight of blindness1 nor is any other preposition used to indicate the relation4 ,similarly blindness is not said to be blindness of sight1 but rather1 privation of sight4 ,relatives1 moreover1 reciprocate2 if blindness1 therefore1 were a relative1 there would be a reciprocity of relation between it and that with which it was correlative4 ,but this is not the case4 ,sight is not called the sight of blindness4 ,that those terms which fall under the heads of 'positives' and 'privatives' are not opposed each to each as contraries1 either1 is plain from the following facts3 ,of a pair of contraries such that they have no intermediate1 one or the other must needs be present in the subject in which they naturally subsist1 or of which they are predicated2 for it is those1 as we proved1 in the case of which this necessity obtains1 that have no intermediate4 ,moreover1 we cited health and disease1 odd and even1 as instances4 ,but those contraries which have an intermediate are not subject to any such necessity4 ,it is not necessary that every substance1 receptive of such qualities1 should be either black or white1 cold or hot1 for something intermediate between these contraries may very well be present in the subject4 ,we proved1 moreover1 that those contraries have an intermediate in the case of which the said necessity does not obtain4 ,yet when one of the two contraries is a constitutive property of the subject1 as it is a constitutive property of fire to be hot1 of snow to be white1 it is necessary determinately that one of the two contraries1 not one or the other1 should be present in the subject2 for fire cannot be cold1 or snow black4 ,thus1 it is not the case here that one of the two must needs be present in every subject receptive of these qualities1 but only in that subject of which the one forms a constitutive property4 ,moreover1 in such cases it is one member of the pair determinately1 and not either the one or the other1 which must be present4 ,in the case of 'positives' and 'privatives'1 on the other hand1 neither of the aforesaid statements holds good4 ,for it is not necessary that a subject receptive of the qualities should always have either the one or the other2 that which has not yet advanced to the state when sight is natural is not said either to be blind or to see4 ,thus 'positives' and 'privatives' do not belong to that class of contraries which consists of those which have no intermediate4 ,on the other hand1 they do not belong either to that class which consists of contraries which have an intermediate4 ,for under certain conditions it is necessary that either the one or the other should form part of the constitution of every appropriate subject4 ,for when a thing has reached the stage when it is by nature capable of sight1 it will be said either to see or to be blind1 and that in an indeterminate sense1 signifying that the capacity may be either present or absent2 for it is not necessary either that it should see or that it should be blind1 but that it should be either in the one state or in the other4 ,yet in the case of those contraries which have an intermediate we found that it was never necessary that either the one or the other should be present in every appropriate subject1 but only that in certain subjects one of the pair should be present1 and that in a determinate sense4 ,it is1 therefore1 plain that 'positives' and 'privatives' are not opposed each to each in either of the senses in which contraries are opposed4 ,again1 in the case of contraries1 it is possible that there should be changes from either into the other1 while the subject retains its identity1 unless indeed one of the contraries is a constitutive property of that subject1 as heat is of fire4 ,for it is possible that that that which is healthy should become diseased1 that which is white1 black1 that which is cold1 hot1 that which is good1 bad1 that which is bad1 good4 ,the bad man1 if he is being brought into a better way of life and thought1 may make some advance1 however slight1 and if he should once improve1 even ever so little1 it is plain that he might change completely1 or at any rate make very great progress2 for a man becomes more and more easily moved to virtue1 however small the improvement was at first4 ,it is1 therefore1 natural to suppose that he will make yet greater progress than he has made in the past2 and as this process goes on1 it will change him completely and establish him in the contrary state1 provided he is not hindered by lack of time4 ,in the case of 'positives' and 'privatives'1 however1 change in both directions is impossible4 ,there may be a change from possession to privation1 but not from privation to possession4 ,the man who has become blind does not regain his sight2 the man who has become bald does not regain his hair2 the man who has lost his teeth does not grow a new set4 7iv7 ,statements opposed as affirmation and negation belong manifestly to a class which is distinct1 for in this case1 and in this case only1 it is necessary for the one opposite to be true and the other false4 ,neither in the case of contraries1 nor in the case of correlatives1 nor in the case of 'positives' and 'privatives'1 is it necessary for one to be true and the other false4 ,health and disease are contraries3 neither of them is true or false4 ',double' and 'half' are opposed to each other as correlatives3 neither of them is true or false4 ,the case is the same1 of course1 with regard to 'positives' and 'privatives' such as 'sight' and 'blindness'4 ,in short1 where there is no sort of combination of words1 truth and falsity have no place1 and all the opposites we have mentioned so far consist of simple words4 ,at the same time1 when the words which enter into opposed statements are contraries1 these1 more than any other set of opposites1 would seem to claim this characteristic4 ',socrates is ill' is the contrary of ',socrates is well'1 but not even of such composite expressions is it true to say that one of the pair must always be true and the other false4 ,for if ,socrates exists1 one will be true and the other false1 but if he does not exist1 both will be false2 for neither ',socrates is ill' nor ',socrates is well' is true1 if ,socrates does not exist at all4 ,in the case of 'positives' and 'privatives'1 if the subject does not exist at all1 neither proposition is true1 but even if the subject exists1 it is not always the fact that one is true and the other false4 ,for ',socrates has sight' is the opposite of ',socrates is blind' in the sense of the word 'opposite' which applies to possession and privation4 ,now if ,socrates exists1 it is not necessary that one should be true and the other false1 for when he is not yet able to acquire the power of vision1 both are false1 as also if ,socrates is altogether non-existent4 ,but in the case of affirmation and negation1 whether the subject exists or not1 one is always false and the other true4 ,for manifestly1 if ,socrates exists1 one of the two propositions ',socrates is ill'1 ',socrates is not ill'1 is true1 and the other false4 ,this is likewise the case if he does not exist2 for if he does not exist1 to say that he is ill is false1 to say that he is not ill is true4 ,thus it is in the case of those opposites only1 which are opposite in the sense in which the term is used with reference to affirmation and negation1 that the rule holds good1 that one of the pair must be true and the other false4 ,part #aa ,that the contrary of a good is an evil is shown by induction3 the contrary of health is disease1 of courage1 cowardice1 and so on4 ,but the contrary of an evil is sometimes a good1 sometimes an evil4 ,for defect1 which is an evil1 has excess for its contrary1 this also being an evil1 and the mean1 which is a good1 is equally the contrary of the one and of the other4 ,it is only in a few cases1 however1 that we see instances of this3 in most1 the contrary of an evil is a good4 ,in the case of contraries1 it is not always necessary that if one exists the other should also exist3 for if all become healthy there will be health and no disease1 and again1 if everything turns white1 there will be white1 but no black4 ,again1 since the fact that ,socrates is ill is the contrary of the fact that ,socrates is well1 and two contrary conditions cannot both obtain in one and the same individual at the same time1 both these contraries could not exist at once3 for if that ,socrates was well was a fact1 then that ,socrates was ill could not possibly be one4 ,it is plain that contrary attributes must needs be present in subjects which belong to the same species or genus4 ,disease and health require as their subject the body of an animal2 white and black require a body1 without further qualification2 justice and injustice require as their subject the human soul4 ,moreover1 it is necessary that pairs of contraries should in all cases either belong to the same genus or belong to contrary genera or be themselves genera4 ,white and black belong to the same genus1 colour2 justice and injustice1 to contrary genera1 virtue and vice2 while good and evil do not belong to genera1 but are themselves actual genera1 with terms under them4 ,part #ab ,there are four senses in which one thing can be said to be 'prior' to another4 ,primarily and most properly the term has reference to time3 in this sense the word is used to indicate that one thing is older or more ancient than another1 for the expressions 'older' and 'more ancient' imply greater length of time4 ,secondly1 one thing is said to be 'prior' to another when the sequence of their being cannot be reversed4 ,in this sense 'one' is 'prior' to 'two'4 ,for if 'two' exists1 it follows directly that 'one' must exist1 but if 'one' exists1 it does not follow necessarily that 'two' exists3 thus the sequence subsisting cannot be reversed4 ,it is agreed1 then1 that when the sequence of two things cannot be reversed1 then that one on which the other depends is called 'prior' to that other4 ,in the third place1 the term 'prior' is used with reference to any order1 as in the case of science and of oratory4 ,for in sciences which use demonstration there is that which is prior and that which is posterior in order2 in geometry1 the elements are prior to the propositions2 in reading and writing1 the letters of the alphabet are prior to the syllables4 ,similarly1 in the case of speeches1 the exordium is prior in order to the narrative4 ,besides these senses of the word1 there is a fourth4 ,that which is better and more honourable is said to have a natural priority4 ,in common parlance men speak of those whom they honour and love as 'coming first' with them4 ,this sense of the word is perhaps the most far-fetched4 ,such1 then1 are the different senses in which the term 'prior' is used4 ,yet it would seem that besides those mentioned there is yet another4 ,for in those things1 the being of each of which implies that of the other1 that which is in any way the cause may reasonably be said to be by nature 'prior' to the effect4 ,it is plain that there are instances of this4 ,the fact of the being of a man carries with it the truth of the proposition that he is1 and the implication is reciprocal3 for if a man is1 the proposition wherein we allege that he is true1 and conversely1 if the proposition wherein we allege that he is true1 then he is4 ,the true proposition1 however1 is in no way the cause of the being of the man1 but the fact of the man's being does seem somehow to be the cause of the truth of the proposition1 for the truth or falsity of the proposition depends on the fact of the man's being or not being4 ,thus the word 'prior' may be used in five senses4 ,part #ac ,the term 'simultaneous' is primarily and most appropriately applied to those things the genesis of the one of which is simultaneous with that of the other2 for in such cases neither is prior or posterior to the other4 ,such things are said to be simultaneous in point of time4 ,those things1 again1 are 'simultaneous' in point of nature1 the being of each of which involves that of the other1 while at the same time neither is the cause of the other's being4 ,this is the case with regard to the double and the half1 for these are reciprocally dependent1 since1 if there is a double1 there is also a half1 and if there is a half1 there is also a double1 while at the same time neither is the cause of the being of the other4 ,again1 those species which are distinguished one from another and opposed one to another within the same genus are said to be 'simultaneous' in nature4 ,i mean those species which are distinguished each from each by one and the same method of division4 ,thus the 'winged' species is simultaneous with the 'terrestrial' and the 'water' species4 ,these are distinguished within the same genus1 and are opposed each to each1 for the genus 'animal' has the 'winged'1 the 'terrestrial'1 and the 'water' species1 and no one of these is prior or posterior to another2 on the contrary1 all such things appear to be 'simultaneous' in nature4 ,each of these also1 the terrestrial1 the winged1 and the water species1 can be divided again into subspecies4 ,those species1 then1 also will be 'simultaneous' in point of nature1 which1 belonging to the same genus1 are distinguished each from each by one and the same method of differentiation4 ,but genera are prior to species1 for the sequence of their being cannot be reversed4 ,if there is the species 'water-animal'1 there will be the genus 'animal'1 but granted the being of the genus 'animal'1 it does not follow necessarily that there will be the species 'water-animal'4 ,those things1 therefore1 are said to be 'simultaneous' in nature1 the being of each of which involves that of the other1 while at the same time neither is in any way the cause of the other's being2 those species1 also1 which are distinguished each from each and opposed within the same genus4 ,those things1 moreover1 are 'simultaneous' in the unqualified sense of the word which come into being at the same time4 ,part #ad ,there are six sorts of movement3 generation1 destruction1 increase1 diminution1 alteration1 and change of place4 ,it is evident in all but one case that all these sorts of movement are distinct each from each4 ,generation is distinct from destruction1 increase and change of place from diminution1 and so on4 ,but in the case of alteration it may be argued that the process necessarily implies one or other of the other five sorts of motion4 ,this is not true1 for we may say that all affections1 or nearly all1 produce in us an alteration which is distinct from all other sorts of motion1 for that which is affected need not suffer either increase or diminution or any of the other sorts of motion4 ,thus alteration is a distinct sort of motion2 for1 if it were not1 the thing altered would not only be altered1 but would forthwith necessarily suffer increase or diminution or some one of the other sorts of motion in addition2 which as a matter of fact is not the case4 ,similarly that which was undergoing the process of increase or was subject to some other sort of motion would1 if alteration were not a distinct form of motion1 necessarily be subject to alteration also4 ,but there are some things which undergo increase but yet not alteration4 ,the square1 for instance1 if a gnomon is applied to it1 undergoes increase but not alteration1 and so it is with all other figures of this sort4 ,alteration and increase1 therefore1 are distinct4 ,speaking generally1 rest is the contrary of motion4 ,but the different forms of motion have their own contraries in other forms2 thus destruction is the contrary of generation1 diminution of increase1 rest in a place1 of change of place4 ,as for this last1 change in the reverse direction would seem to be most truly its contrary2 thus motion upwards is the contrary of motion downwards and vice versa4 ,in the case of that sort of motion which yet remains1 of those that have been enumerated1 it is not easy to state what is its contrary4 ,it appears to have no contrary1 unless one should define the contrary here also either as 'rest in its quality' or as 'change in the direction of the contrary quality'1 just as we defined the contrary of change of place either as rest in a place or as change in the reverse direction4 ,for a thing is altered when change of quality takes place2 therefore either rest in its quality or change in the direction of the contrary may be called the contrary of this qualitative form of motion4 ,in this way becoming white is the contrary of becoming black2 there is alteration in the contrary direction1 since a change of a qualitative nature takes place4 ,part #ae ,the term 'to have' is used in various senses4 ,in the first place it is used with reference to habit or disposition or any other quality1 for we are said to 'have' a piece of knowledge or a virtue4 ,then1 again1 it has reference to quantity1 as1 for instance1 in the case of a man's height2 for he is said to 'have' a height of three or four cubits4 ,it is used1 moreover1 with regard to apparel1 a man being said to 'have' a coat or tunic2 or in respect of something which we have on a part of ourselves1 as a ring on the hand3 or in respect of something which is a part of us1 as hand or foot4 ,the term refers also to content1 as in the case of a vessel and wheat1 or of a jar and wine2 a jar is said to 'have' wine1 and a corn-measure wheat4 ,the expression in such cases has reference to content4 ,or it refers to that which has been acquired2 we are said to 'have' a house or a field4 ,a man is also said to 'have' a wife1 and a wife a husband1 and this appears to be the most remote meaning of the term1 for by the use of it we mean simply that the husband lives with the wife4 ,other senses of the word might perhaps be found1 but the most ordinary ones have all been enumerated4