,,selections ,,from ,,the ,,principles ,,of ,,philosophy ,,of ,,rene ,,descartes 7#aeif-afej7 ,,translated ,,by ,,john ,,veitch1 ,,ll4 ,d4 ,,late ,,professor ,,of ,,logic ,,and ,,rhetoric ,,in ,,the ,,university ,,of ,,glasgow ,from the ,publisher's ,preface4 ,the present volume contains a reprint of the preface and the first part of the ,principles of ,philosophy1 together with selections from the second1 third and fourth parts of that work1 corresponding to the extracts in the ,french edition of ,gamier1 are also given1 as well as an appendix containing part of ,descartes' reply to the ,second ,objections 7viz41 his formal demonstrations of the existence of ,deity74 ,the translation is based on the original ,latin edition of the ,principles1 published in #afdd4 ,the work had been translated into ,french during ,descartes' lifetime1 and personally revised and corrected by him1 the ,french text is evidently deserving of the same consideration as the ,latin originals1 and consequently1 the additions and variations of the ,french version have also been given--the additions being put in square brackets in the text and the variations in the footnotes4 ,a copy of the title-page of the original edition1 as given in ,dr4 ,c4 ,guttler's work 7,munich3 ,c4 ,h4 ,beck4 #aija71 are also reproduced in the present volume4 ,,selections ,,from ,,the ,,principles ,,of ,,philosophy ,,of ,,descartes ,,translated ,,from ,,the ,,latin ,,and ,,collated ,,with ,,the ,,french ,,letter ,,of ,,the ,,author ,,to ,,the ,,french ,,translator ,,of ,,the ,,principles ,,of ,,philosophy ,,serving ,,for ,a ,,preface4 ,sir1--,the version of my principles which you have been at pains to make1 is so elegant and finished as to lead me to expect that the work will be more generally read in ,french than in ,latin1 and better understood4 ,the only apprehension ,i entertain is lest the title should deter some who have not been brought up to letters1 or with whom philosophy is in bad repute1 because the kind they were taught has proved unsatisfactory2 and this makes me think that it will be useful to add a preface to it for the purpose of showing what the ,,matter of the work is1 what ,,end ,i had in view in writing it1 and what ,,utility may be derived from it4 ,but although it might be my part to write a preface of this nature1 seeing ,i ought to know those particulars better than any other person1 ,i cannot nevertheless prevail upon myself to do anything more than merely to give a summary of the chief points that fall1 as ,i think1 to be discussed in it3 and ,i leave it to your discretion to present to the public such part of them as you shall judge proper4 ,i should have desired1 in the first place1 to explain in it what philosophy is1 by commencing with the most common matters1 as1 for example1 that the word ,,philosophy signifies the study of wisdom1 and that by wisdom is to be understood not merely prudence in the management of affairs1 but a perfect knowledge of all that man can know1 as well for the conduct of his life as for the preservation of his health and the discovery of all the arts1 and that knowledge to subserve these ends must necessarily be deduced from first causes2 so that in order to study the acquisition of it 7which is properly called philosophizing71 we must commence with the investigation of those first causes which are called ,,principles4 ,now these principles must possess ,,two ,,conditions3 in the first place1 they must be so clear and evident that the human mind1 when it attentively considers them1 cannot doubt of their truth2 in the second place1 the knowledge of other things must be so dependent on them as that though the principles themselves may indeed be known apart from what depends on them1 the latter cannot nevertheless be known apart from the former4 ,it will accordingly be necessary thereafter to endeavour so to deduce from those principles the knowledge of the things that depend on them1 as that there may be nothing in the whole series of deductions which is not perfectly manifest4 ,god is in truth the only being who is absolutely wise1 that is1 who possesses a perfect knowledge of all things2 but we may say that men are more or less wise as their knowledge of the most important truths is greater or less4 ,and ,i am confident that there is nothing1 in what ,i have now said1 in which all the learned do not concur4 ,i should1 in the next place1 have proposed to consider the utility of philosophy1 and at the same time have shown that1 since it embraces all that the human mind can know1 we ought to believe that it is by it we are distinguished from savages and barbarians1 and that the civilisation and culture of a nation is regulated by the degree in which true philosophy nourishes in it1 and1 accordingly1 that to contain true philosophers is the highest privilege a state can enjoy4 ,besides this1 ,i should have shown that1 as regards individuals1 it is not only useful for each man to have intercourse with those who apply themselves to this study1 but that it is incomparably better he should himself direct his attention to it2 just as it is doubtless to be preferred that a man should make use of his own eyes to direct his steps1 and enjoy by means of the same the beauties of colour and light1 than that he should blindly follow the guidance of another2 though the latter course is certainly better than to have the eyes closed with no guide except one's self4 ,but to live without philosophizing is in truth the same as keeping the eyes closed without attempting to open them2 and the pleasure of seeing all that sight discloses is not to be compared with the satisfaction afforded by the discoveries of philosophy4 ,and1 finally1 this study is more imperatively requisite for the regulation of our manners1 and for conducting us through life1 than is the use of our eyes for directing our steps4 ,the brutes1 which have only their bodies to conserve1 are continually occupied in seeking sources of nourishment2 but men1 of whom the chief part is the mind1 ought to make the search after wisdom their principal care1 for wisdom is the true nourishment of the mind2 and ,i feel assured1 moreover1 that there are very many who would not fail in the search1 if they would but hope for success in it1 and knew the degree of their capabilities for it4 ,there is no mind1 how ignoble soever it be1 which remains so firmly bound up in the objects of the senses1 as not sometime or other to turn itself away from them in the aspiration after some higher good1 although not knowing frequently wherein that good consists4 ,the greatest favourites of fortune--those who have health1 honours1 and riches in abundance-- are not more exempt from aspirations of this nature than others2 nay1 ,i am persuaded that these are the persons who sigh the most deeply after another good greater and more perfect still than any they already possess4 ,but the supreme good1 considered by natural reason without the light of faith1 is nothing more than the knowledge of truth through its first causes1 in other words1 the wisdom of which philosophy is the study4 ,and1 as all these particulars are indisputably true1 all that is required to gain assent to their truth is that they be well stated4 ,but as one is restrained from assenting to these doctrines by experience1 which shows that they who make pretensions to philosophy are often less wise and reasonable than others who never applied themselves to the study1 ,i should have here shortly explained wherein consists all the science we now possess1 and what are the degrees of wisdom at which we have arrived4 ,the first degree contains only notions so clear of themselves that they can be acquired without meditation2 the second comprehends all that the experience of the senses dictates2 the third1 that which the conversation of other men teaches us2 to which may be added as the fourth1 the reading1 not of all books1 but especially of such as have been written by persons capable of conveying proper instruction1 for it is a species of conversation we hold with their authors4 ,and it seems to me that all the wisdom we in ordinary possess is acquired only in these four ways2 for ,i do not class divine revelation among them1 because it does not conduct us by degrees1 but elevates us at once to an infallible faith4 ,there have been1 indeed1 in all ages great minds who endeavoured to find a fifth road to wisdom1 incomparably more sure and elevated than the other four4 ,the path they essayed was the search of first causes and true principles1 from which might be deduced the reasons of all that can be known by man2 and it is to them the appellation of philosophers has been more especially accorded4 ,i am not aware that there is any one of them up to the present who has succeeded in this enterprise4 ,the first and chief whose writings we possess are ,plato and ,aristotle1 between whom there was no difference1 except that the former1 following in the footsteps of his master1 ,socrates1 ingenuously confessed that he had never yet been able to find anything certain1 and that he was contented to write what seemed to him probable1 imagining1 for this end1 certain principles by which he endeavoured to account for the other things4 ,aristotle1 on the other hand1 characterised by less candour1 although for twenty years the disciple of ,plato1 and with no principles beyond those of his master1 completely reversed his mode of putting them1 and proposed as true and certain what it is probable he himself never esteemed as such4 ,but these two men had acquired much judgment and wisdom by the four preceding means1 qualities which raised their authority very high1 so much so that those who succeeded them were willing rather to acquiesce in their opinions1 than to seek better for themselves4 ,the chief question among their disciples1 however1 was as to whether we ought to doubt of all things or hold some as certain1--a dispute which led them on both sides into extravagant errors2 for a part of those who were for doubt1 extended it even to the actions of life1 to the neglect of the most ordinary rules required for its conduct2 those1 on the other hand1 who maintained the doctrine of certainty1 supposing that it must depend upon the senses1 trusted entirely to them4 ,to such an extent was this carried by ,epicurus1 that it is said he ventured to affirm1 contrary to all the reasonings of the astronomers1 that the sun is no larger than it appears4 ,it is a fault we may remark in most disputes1 that1 as truth is the mean between the two opinions that are upheld1 each disputant departs from it in proportion to the degree in which he possesses the spirit of contradiction4 ,but the error of those who leant too much to the side of doubt1 was not followed for any length of time1 and that of the opposite party has been to some extent corrected by the doctrine that the senses are deceitful in many instances4 ,nevertheless1 ,i do not know that this error was wholly removed by showing that certitude is not in the senses1 but in the understanding alone when it has clear perceptions2 and that while we only possess the knowledge which is acquired in the first four grades of wisdom1 we ought not to doubt of the things that appear to be true in what regards the conduct of life1 nor esteem them as so certain that we cannot change our opinions regarding them1 even though constrained by the evidence of reason4 ,from ignorance of this truth1 or1 if there was any one to whom it was known1 from neglect of it1 the majority of those who in these later ages aspired to be philosophers1 blindly followed ,aristotle1 so that they frequently corrupted the sense of his writings1 and attributed to him various opinions which he would not recognise as his own were he now to return to the world2 and those who did not follow him1 among whom are to be found many of the greatest minds1 did yet not escape being imbued with his opinions in their youth1 as these form the staple of instruction in the schools2 and thus their minds were so preoccupied that they could not rise to the knowledge of true principles4 ,and though ,i hold all the philosophers in esteem1 and am unwilling to incur odium by my censure1 ,i can adduce a proof of my assertion1 which ,i do not think any of them will gainsay1 which is1 that they all laid down as a principle what they did not perfectly know4 ,for example1 ,i know none of them who did not suppose that there was gravity in terrestrial bodies2 but although experience shows us very clearly that bodies we call heavy descend towards the center of the earth1 we do not1 therefore1 know the nature of gravity1 that is1 the cause or principle in virtue of which bodies descend1 and we must derive our knowledge of it from some other source4 ,the same may be said of a vacuum and atoms1 of heat and cold1 of dryness and humidity1 and of salt1 sulphur1 and mercury1 and the other things of this sort which some have adopted as their principles4 ,but no conclusion deduced from a principle which is not clear can be evident1 even although the deduction be formally valid2 and hence it follows that no reasonings based on such principles could lead them to the certain knowledge of any one thing1 nor consequently advance them one step in the search after wisdom4 ,and if they did discover any truth1 this was due to one or other of the four means above mentioned4 ,notwithstanding this1 ,i am in no degree desirous to lessen the honour which each of them can justly claim2 ,i am only constrained to say1 for the consolation of those who have not given their attention to study1 that just as in travelling1 when we turn our back upon the place to which we were going1 we recede the farther from it in proportion as we proceed in the new direction for a greater length of time and with greater speed1 so that1 though we may be afterwards brought back to the right way1 we cannot nevertheless arrive at the destined place as soon as if we had not moved backwards at all2 so in philosophy1 when we make use of false principles1 we depart the farther from the knowledge of truth and wisdom exactly in proportion to the care with which we cultivate them1 and apply ourselves to the deduction of diverse consequences from them1 thinking that we are philosophizing well1 while we are only departing the farther from the truth2 from which it must be inferred that they who have learned the least of all that has been hitherto distinguished by the name of philosophy are the most fitted for the apprehension of truth4 ,after making those matters clear1 ,i should1 in the next place1 have desired to set forth the grounds for holding that the true principles by which we may reach that highest degree of wisdom wherein consists the sovereign good of human life1 are those ,i have proposed in this work2 and two considerations alone are sufficient to establish this--the first of which is1 that these principles are very clear1 and the second1 that we can deduce all other truths from them2 for it is only these two conditions that are required in true principles4 ,but ,i easily prove that they are very clear2 firstly1 by a reference to the manner in which ,i found them1 namely1 by rejecting all propositions that were in the least doubtful1 for it is certain that such as could not be rejected by this test when they were attentively considered1 are the most evident and clear which the human mind can know4 ,thus by considering that he who strives to doubt of all is unable nevertheless to doubt that he is while he doubts1 and that what reasons thus1 in not being able to doubt of itself and doubting nevertheless of everything else1 is not that which we call our body1 but what we name our mind or thought1 ,i have taken the existence of this thought for the first principle1 from which ,i very clearly deduced the following truths1 namely1 that there is a ,god who is the author of all that is in the world1 and who1 being the source of all truth1 cannot have created our understanding of such a nature as to be deceived in the judgments it forms of the things of which it possesses a very clear and distinct perception4 ,those are all the principles of which ,i avail myself touching immaterial or metaphysical objects1 from which ,i most clearly deduce these other principles of physical or corporeal things1 namely1 that there are bodies extended in length1 breadth1 and depth1 which are of diverse figures and are moved in a variety of ways4 ,such are in sum the principles from which ,i deduce all other truths4 ,the second circumstance that proves the clearness of these principles is1 that they have been known in all ages1 and even received as true and indubitable by all men1 with the exception only of the existence of ,god1 which has been doubted by some1 because they attributed too much to the perceptions of the senses1 and ,god can neither be seen nor touched4 ,but1 though all the truths which ,i class among my principles were known at all times1 and by all men1 nevertheless1 there has been no one up to the present1 who1 so far as ,i know1 has adopted them as principles of philosophy3 in other words1 as such that we can deduce from them the knowledge of whatever else is in the world4 ,it accordingly now remains for me to prove that they are such2 and it appears to me that ,i cannot better establish this than by the test of experience3 in other words1 by inviting readers to peruse the following work4 ,for1 though ,i have not treated in it of all matters- -that being impossible--,i think ,i have so explained all of which ,i had occasion to treat1 that they who read it attentively will have ground for the persuasion that it is unnecessary to seek for any other principles than those ,i have given1 in order to arrive at the most exalted knowledge of which the mind of man is capable2 especially if1 after the perusal of my writings1 they take the trouble to consider how many diverse questions are therein discussed and explained1 and1 referring to the writings of others1 they see how little probability there is in the reasons that are adduced in explanation of the same questions by principles different from mine4 ,and that they may the more easily undertake this1 ,i might have said that those imbued with my doctrines have much less difficulty in comprehending the writings of others1 and estimating their true value1 than those who have not been so imbued2 and this is precisely the opposite of what ,i before said of such as commenced with the ancient philosophy1 namely1 that the more they have studied it the less fit are they for rightly apprehending the truth4 ,i should also have added a word of advice regarding the manner of reading this work1 which is1 that ,i should wish the reader at first to go over the whole of it1 as he would a romance1 without greatly straining his attention1 or tarrying at the difficulties he may perhaps meet with in it1 with the view simply of knowing in general the matters of which ,i treat2 and that afterwards1 if they seem to him to merit a more careful examination1 and he feel a desire to know their causes1 he may read it a second time1 in order to observe the connection of my reasonings2 but that he must not then give it up in despair1 although he may not everywhere sufficiently discover the connection of the proof1 or understand all the reasonings--it being only necessary to mark with a pen the places where the difficulties occur1 and continue to read without interruption to the end2 then1 if he does not grudge to take up the book a third time1 ,i am confident he will find in a fresh perusal the solution of most of the difficulties he will have marked before2 and that1 if any still remain1 their solution will in the end be found in another reading4 ,i have observed1 on examining the natural constitutions of different minds1 that there are hardly any so dull or slow of understanding as to be incapable of apprehending good opinions1 or even of acquiring all the highest sciences1 if they be but conducted along the right road4 ,and this can also be proved by reason2 for1 as the principles are clear1 and as nothing ought to be deduced from them1 unless most manifest inferences1 no one is so devoid of intelligence as to be unable to comprehend the conclusions that flow from them4 ,but1 besides the entanglement of prejudices1 from which no one is entirely exempt1 although it is they who have been the most ardent students of the false sciences that receive the greatest detriment from them1 it happens very generally that people of ordinary capacity neglect to study from a conviction that they want ability1 and that others1 who are more ardent1 press on too rapidly3 whence it comes to pass that they frequently admit principles far from evident1 and draw doubtful inferences from them4 ,for this reason1 ,i should wish to assure those who are too distrustful of their own ability that there is nothing in my writings which they may not entirely understand1 if they only take the trouble to examine them2 and ,i should wish1 at the same time1 to warn those of an opposite tendency that even the most superior minds will have need of much time and attention to remark all ,i designed to embrace therein4 ,after this1 that ,i might lead men to understand the real design ,i had in publishing them1 ,i should have wished here to explain the order which it seems to me one ought to follow with the view of instructing himself4 ,in the first place1 a man who has merely the vulgar and imperfect knowledge which can be acquired by the four means above explained1 ought1 before all else1 to endeavour to form for himself a code of morals1 sufficient to regulate the actions of his life1 as well for the reason that this does not admit of delay as because it ought to be our first care to live well4 ,in the next place1 he ought to study ,logic1 not that of the schools1 for it is only1 properly speaking1 a dialectic which teaches the mode of expounding to others what we already know1 or even of speaking much1 without judgment1 of what we do not know1 by which means it corrupts rather than increases good sense--but the logic which teaches the right conduct of the reason with the view of discovering the truths of which we are ignorant2 and1 because it greatly depends on usage1 it is desirable he should exercise himself for a length of time in practising its rules on easy and simple questions1 as those of the mathematics4 ,then1 when he has acquired some skill in discovering the truth in these questions1 he should commence to apply himself in earnest to true philosophy1 of which the first part is ,metaphysics1 containing the principles of knowledge1 among which is the explication of the principal attributes of ,god1 of the immateriality of the soul1 and of all the clear and simple notions that are in us2 the second is ,physics1 in which1 after finding the true principles of material things1 we examine1 in general1 how the whole universe has been framed2 in the next place1 we consider1 in particular1 the nature of the earth1 and of all the bodies that are most generally found upon it1 as air1 water1 fire1 the loadstone and other minerals4 ,in the next place it is necessary also to examine singly the nature of plants1 of animals1 and above all of man1 in order that we may thereafter be able to discover the other sciences that are useful to us4 ,thus1 all ,philosophy is like a tree1 of which ,metaphysics is the root1 ,physics the trunk1 and all the other sciences the branches that grow out of this trunk1 which are reduced to three principal1 namely1 ,medicine1 ,mechanics1 and ,ethics4 ,by the science of ,morals1 ,i understand the highest and most perfect which1 presupposing an entire knowledge of the other sciences1 is the last degree of wisdom4 ,but as it is not from the roots or the trunks of trees that we gather the fruit1 but only from the extremities of their branches1 so the principal utility of philosophy depends on the separate uses of its parts1 which we can only learn last of all4 ,but1 though ,i am ignorant of almost all these1 the zeal ,i have always felt in endeavouring to be of service to the public1 was the reason why ,i published1 some ten or twelve years ago1 certain ,essays on the doctrines ,i thought ,i had acquired4 ,the first part of these ,essays was a ,discourse on the ,method of rightly conducting the ,reason1 and seeking ,truth in the ,sciences1 in which ,i gave a summary of the principal rules of logic1 and also of an imperfect ethic1 which a person may follow provisionally so long as he does not know any better4 ,the other parts were three treatises3 the first of ,dioptrics1 the second of ,meteors1 and the third of ,geometry4 ,in the ,dioptrics1 ,i designed to show that we might proceed far enough in philosophy as to arrive1 by its means1 at the knowledge of the arts that are useful to life1 because the invention of the telescope1 of which ,i there gave an explanation1 is one of the most difficult that has ever been made4 ,in the treatise of ,meteors1 ,i desired to exhibit the difference that subsists between the philosophy ,i cultivate and that taught in the schools1 in which the same matters are usually discussed4 ,in fine1 in the ,geometry1 ,i professed to demonstrate that ,i had discovered many things that were before unknown1 and thus afford ground for believing that we may still discover many others1 with the view of thus stimulating all to the investigation of truth4 ,since that period1 anticipating the difficulty which many would experience in apprehending the foundations of the ,metaphysics1 ,i endeavoured to explain the chief points of them in a book of ,meditations1 which is not in itself large1 but the size of which has been increased1 and the matter greatly illustrated1 by the ,objections which several very learned persons sent to me on occasion of it1 and by the ,replies which ,i made to them4 ,at length1 after it appeared to me that those preceding treatises had sufficiently prepared the minds of my readers for the ,principles of ,philosophy1 ,i also published it2 and ,i have divided this work into four parts1 the first of which contains the principles of human knowledge1 and which may be called the ,first ,philosophy1 or ,metaphysics4 ,that this part1 accordingly1 may be properly understood1 it will be necessary to read beforehand the book of ,meditations ,i wrote on the same subject4 ,the other three parts contain all that is most general in ,physics1 namely1 the explication of the first laws or principles of nature1 and the way in which the heavens1 the fixed stars1 the planets1 comets1 and generally the whole universe1 were composed2 in the next place1 the explication1 in particular1 of the nature of this earth1 the air1 water1 fire1 the magnet1 which are the bodies we most commonly find everywhere around it1 and of all the qualities we observe in these bodies1 as light1 heat1 gravity1 and the like4 ,in this way1 it seems to me1 ,i have commenced the orderly explanation of the whole of philosophy1 without omitting any of the matters that ought to precede the last which ,i discussed4 ,but to bring this undertaking to its conclusion1 ,i ought hereafter to explain1 in the same manner1 the nature of the other more particular bodies that are on the earth1 namely1 minerals1 plants1 animals1 and especially man2 finally1 to treat thereafter with accuracy of ,medicine1 ,ethics1 and ,mechanics4 ,i should require to do this in order to give to the world a complete body of philosophy2 and ,i do not yet feel myself so old1- -,i do not so much distrust my strength1 nor do ,i find myself so far removed from the knowledge of what remains1 as that ,i should not dare to undertake to complete this design1 provided ,i were in a position to make all the experiments which ,i should require for the basis and verification of my reasonings4 ,but seeing that would demand a great expenditure1 to which the resources of a private individual like myself would not be adequate1 unless aided by the public1 and as ,i have no ground to expect this aid1 ,i believe that ,i ought for the future to content myself with studying for my own instruction1 and posterity will excuse me if ,i fail hereafter to labour for them4 ,meanwhile1 that it may be seen wherein ,i think ,i have already promoted the general good1 ,i will here mention the fruits that may be gathered from my ,principles4 ,the first is the satisfaction which the mind will experience on finding in the work many truths before unknown2 for although frequently truth does not so greatly affect our imagination as falsity and fiction1 because it seems less wonderful and is more simple1 yet the gratification it affords is always more durable and solid4 ,the second fruit is1 that in studying these principles we will become accustomed by degrees to judge better of all the things we come in contact with1 and thus be made wiser1 in which respect the effect will be quite the opposite of the common philosophy1 for we may easily remark in those we call pedants that it renders them less capable of rightly exercising their reason than they would have been if they had never known it4 ,the third is1 that the truths which they contain1 being highly clear and certain1 will take away all ground of dispute1 and thus dispose men's minds to gentleness and concord2 whereas the contrary is the effect of the controversies of the schools1 which1 as they insensibly render those who are exercised in them more wrangling and opinionative1 are perhaps the prime cause of the heresies and dissensions that now harass the world4 ,the last and chief fruit of these ,principles is1 that one will be able1 by cultivating them1 to discover many truths ,i myself have not unfolded1 and thus passing by degrees from one to another1 to acquire in course of time a perfect knowledge of the whole of philosophy1 and to rise to the highest degree of wisdom4 ,for just as all the arts1 though in their beginnings they are rude and imperfect1 are yet gradually perfected by practice1 from their containing at first something true1 and whose effect experience evinces2 so in philosophy1 when we have true principles1 we cannot fail by following them to meet sometimes with other truths2 and we could not better prove the falsity of those of ,aristotle1 than by saying that men made no progress in knowledge by their means during the many ages they prosecuted them4 ,i well know that there are some men so precipitate and accustomed to use so little circumspection in what they do1 that1 even with the most solid foundations1 they could not rear a firm superstructure2 and as it is usually those who are the readiest to make books1 they would in a short time mar all that ,i have done1 and introduce uncertainty and doubt into my manner of philosophizing1 from which ,i have carefully endeavoured to banish them1 if people were to receive their writings as mine1 or as representing my opinions4 ,i had1 not long ago1 some experience of this in one of those who were believed desirous of following me the most closely1 ,footnote3 ,regius2 see ,la ,vie de ,m4 ,descartes1 reduite en abrege 7,baillet74 ,liv4 vii41 chap4 vii4--,t4 and one too of whom ,i had somewhere said that ,i had such confidence in his genius as to believe that he adhered to no opinions which ,i should not be ready to avow as mine2 for he last year published a book entitled ,fundamental ,physics1 in which1 although he seems to have written nothing on the subject of ,physics and ,medicine which he did not take from my writings1 as well from those ,i have published as from another still imperfect on the nature of animals1 which fell into his hands2 nevertheless1 because he has copied them badly1 and changed the order1 and denied certain metaphysical truths upon which all ,physics ought to be based1 ,i am obliged wholly to disavow his work1 and here to request readers not to attribute to me any opinion unless they find it expressly stated in my own writings1 and to receive no opinion as true1 whether in my writings or elsewhere1 unless they see that it is very clearly deduced from true principles4 ,i well know1 likewise1 that many ages may elapse ere all the truths deducible from these principles are evolved out of them1 as well because the greater number of such as remain to be discovered depend on certain particular experiments that never occur by chance1 but which require to be investigated with care and expense by men of the highest intelligence1 as because it will hardly happen that the same persons who have the sagacity to make a right use of them1 will possess also the means of making them1 and also because the majority of the best minds have formed so low an estimate of philosophy in general1 from the imperfections they have remarked in the kind in vogue up to the present time1 that they cannot apply themselves to the search after truth4 ,but1 in conclusion1 if the difference discernible between the principles in question and those of every other system1 and the great array of truths deducible from them1 lead them to discern the importance of continuing the search after these truths1 and to observe the degree of wisdom1 the perfection and felicity of life1 to which they are fitted to conduct us1 ,i venture to believe that there will not be found one who is not ready to labour hard in so profitable a study1 or at least to favour and aid with all his might those who shall devote themselves to it with success4 ,the height of my wishes is1 that posterity may sometime behold the happy issue of it1 etc4 ,,to ,,the ,,most ,,serene ,,princess1 ,,elizabeth1 ,,eldest ,,daughter ,,of ,,frederick1 ,,king ,,of ,,bohemia1 ,,count ,,palatine1 ,,and ,,elector ,,of ,,the ,,sacred ,,roman ,,empire4 ,,madam1--,the greatest advantage ,i have derived from the writings which ,i have already published1 has arisen from my having1 through means of them1 become known to your ,highness1 and thus been privileged to hold occasional converse with one in whom so many rare and estimable qualities are united1 as to lead me to believe ,i should do service to the public by proposing them as an example to posterity4 ,it would ill become me to flatter1 or to give expression to anything of which ,i had no certain knowledge1 especially in the first pages of a work in which ,i aim at laying down the principles of truth4 ,and the generous modesty that is conspicuous in all your actions1 assures me that the frank and simple judgment of a man who only writes what he believes will be more agreeable to you than the ornate laudations of those who have studied the art of compliment4 ,for this reason1 ,i will give insertion to nothing in this letter for which ,i have not the certainty both of experience and reason2 and in the exordium1 as in the rest of the work1 ,i will write only as becomes a philosopher4 ,there is a vast difference between real and apparent virtues2 and there is also a great discrepancy between those real virtues that proceed from an accurate knowledge of the truth1 and such as are accompanied with ignorance or error4 ,the virtues ,i call apparent are only1 properly speaking1 vices1 which1 as they are less frequent than the vices that are opposed to them1 and are farther removed from them than the intermediate virtues1 are usually held in higher esteem than those virtues4 ,thus1 because those who fear dangers too much are more numerous than they who fear them too little1 temerity is frequently opposed to the vice of timidity1 and taken for a virtue1 and is commonly more highly esteemed than true fortitude4 ,thus1 also1 the prodigal are in ordinary more praised than the liberal2 and none more easily acquire a great reputation for piety than the superstitious and hypocritical4 ,with regard to true virtues1 these do not all proceed from true knowledge1 for there are some that likewise spring from defect or error2 thus1 simplicity is frequently the source of goodness1 fear of devotion1 and despair of courage4 ,the virtues that are thus accompanied with some imperfections differ from each other1 and have received diverse appellations4 ,but those pure and perfect virtues that arise from the knowledge of good alone are all of the same nature1 and may be comprised under the single term wisdom4 ,for1 whoever owns the firm and constant resolution of always using his reason as well as lies in his power1 and in all his actions of doing what he judges to be best1 is truly wise1 as far as his nature permits2 and by this alone he is just1 courageous1 temperate1 and possesses all the other virtues1 but so well balanced as that none of them appears more prominent than another3 and for this reason1 although they are much more perfect than the virtues that blaze forth through the mixture of some defect1 yet1 because the crowd thus observes them less1 they are not usually extolled so highly4 ,besides1 of the two things that are requisite for the wisdom thus described1 namely1 the perception of the understanding and the disposition of the will1 it is only that which lies in the will which all men can possess equally1 inasmuch as the understanding of some is inferior to that of others4 ,but although those who have only an inferior understanding may be as perfectly wise as their nature permits1 and may render themselves highly acceptable to ,god by their virtue1 provided they preserve always a firm and constant resolution to do all that they shall judge to be right1 and to omit nothing that may lead them to the knowledge of the duties of which they are ignorant2 nevertheless1 those who preserve a constant resolution of performing the right1 and are especially careful in instructing themselves1 and who possess also a highly perspicacious intellect1 arrive doubtless at a higher degree of wisdom than others2 and ,i see that these three particulars are found in great perfection in your ,highness4 ,for1 in the first place1 your desire of self-instruction is manifest1 from the circumstance that neither the amusements of the court1 nor the accustomed mode of educating ladies1 which ordinarily condemns them to ignorance1 have been sufficient to prevent you from studying with much care all that is best in the arts and sciences2 and the incomparable perspicacity of your intellect is evinced by this1 that you penetrated the secrets of the sciences and acquired an accurate knowledge of them in a very short period4 ,but of the vigour of your intellect ,i have a still stronger proof1 and one peculiar to myself1 in that ,i have never yet met any one who understood so generally and so well as yourself all that is contained in my writings4 ,for there are several1 even among men of the highest intellect and learning1 who find them very obscure4 ,and ,i remark1 in almost all those who are versant in ,metaphysics1 that they are wholly disinclined from ,geometry2 and1 on the other hand1 that the cultivators of ,geometry have no ability for the investigations of the ,first ,philosophy3 insomuch that ,i can say with truth ,i know but one mind1 and that is your own1 to which both studies are alike congenial1 and which ,i therefore1 with propriety1 designate incomparable4 ,but what most of all enhances my admiration is1 that so accurate and varied an acquaintance with the whole circle of the sciences is not found in some aged doctor who has employed many years in contemplation1 but in a ,princess still young1 and whose countenance and years would more fitly represent one of the ,graces than a ,muse or the sage ,minerva4 ,in conclusion1 ,i not only remark in your ,highness all that is requisite on the part of the mind to perfect and sublime wisdom1 but also all that can be required on the part of the will or the manners1 in which benignity and gentleness are so conjoined with majesty that1 though fortune has attacked you with continued injustice1 it has failed either to irritate or crush you4 ,and this constrains me to such veneration that ,i not only think this work due to you1 since it treats of philosophy which is the study of wisdom1 but likewise feel not more zeal for my reputation as a philosopher than pleasure in subscribing myself1-- ,of your most ,serene ,highness1 ,the most devoted servant1 ,,descartes4 ,,part ,i4 ,,of ,,the ,,principles ,,of ,,human ,,knowledge4 ,i4 ,,that in order to seek truth1 it is necessary once in the course of our life1 to doubt1 as far as possible1 of all things4 ,as we were at one time children1 and as we formed various judgments regarding the objects presented to our senses1 when as yet we had not the entire use of our reason1 numerous prejudices stand in the way of our arriving at the knowledge of truth2 and of these it seems impossible for us to rid ourselves1 unless we undertake1 once in our lifetime1 to doubt of all those things in which we may discover even the smallest suspicion of uncertainty4 ,,ii4 ,that we ought also to consider as false all that is doubtful4 ,moreover1 it will be useful likewise to esteem as false the things of which we shall be able to doubt1 that we may with greater clearness discover what possesses most certainty and is the easiest to know4 ,,iii4 ,that we ought not meanwhile to make use of doubt in the conduct of life4 ,in the meantime1 it is to be observed that we are to avail ourselves of this general doubt only while engaged in the contemplation of truth4 ,for1 as far as concerns the conduct of life1 we are very frequently obliged to follow opinions merely probable1 or even sometimes1 though of two courses of action we may not perceive more probability in the one than in the other1 to choose one or other1 seeing the opportunity of acting would not unfrequently pass away before we could free ourselves from our doubts4 ,,iv4 ,why we may doubt of sensible things4 ,accordingly1 since we now only design to apply ourselves to the investigation of truth1 we will doubt1 first1 whether of all the things that have ever fallen under our senses1 or which we have ever imagined1 any one really exist2 in the first place1 because we know by experience that the senses sometimes err1 and it would be imprudent to trust too much to what has even once deceived us2 secondly1 because in dreams we perpetually seem to perceive or imagine innumerable objects which have no existence4 ,and to one who has thus resolved upon a general doubt1 there appear no marks by which he can with certainty distinguish sleep from the waking state4 ,v4 ,why we may also doubt of mathematical demonstrations4 ,we will also doubt of the other things we have before held as most certain1 even of the demonstrations of mathematics1 and of their principles which we have hitherto deemed self-evident2 in the first place1 because we have sometimes seen men fall into error in such matters1 and admit as absolutely certain and self evident what to us appeared false1 but chiefly because we have learnt that ,god who created us is all-powerful2 for we do not yet know whether perhaps it was his will to create us so that we are always deceived1 even in the things we think we know best3 since this does not appear more impossible than our being occasionally deceived1 which1 however1 as observation teaches us1 is the case4 ,and if we suppose that an all- powerful ,god is not the author of our being1 and that we exist of ourselves or by some other means1 still1 the less powerful we suppose our author to be1 the greater reason will we have for believing that we are not so perfect as that we may not be continually deceived4 ,,vi4 ,that we possess a free-will1 by which we can withhold our assent from what is doubtful1 and thus avoid error4 ,but meanwhile1 whoever in the end may be the author of our being1 and however powerful and deceitful he may be1 we are nevertheless conscious of a freedom1 by which we can refrain from admitting to a place in our belief aught that is not manifestly certain and undoubted1 and thus guard against ever being deceived4 ,,vii4 ,that we cannot doubt of our existence while we doubt1 and that this is the first knowledge we acquire when we philosophize in order4 ,while we thus reject all of which we can entertain the smallest doubt1 and even imagine that it is false1 we easily indeed suppose that there is neither ,god1 nor sky1 nor bodies1 and that we ourselves even have neither hands nor feet1 nor1 finally1 a body2 but we cannot in the same way suppose that we are not while we doubt of the truth of these things2 for there is a repugnance in conceiving that what thinks does not exist at the very time when it thinks4 ,accordingly1 the knowledge1 ,i ,,think1 ,,therefore ,i ,,am1 is the first and most certain that occurs to one who philosophizes orderly4 ,,viii4 ,that we hence discover the distinction between the mind and the body1 or between a thinking and corporeal thing4 ,and this is the best mode of discovering the nature of the mind1 and its distinctness from the body3 for examining what we are1 while supposing1 as we now do1 that there is nothing really existing apart from our thought1 we clearly perceive that neither extension1 nor figure1 nor local motion1,footnote3 ,instead of local motion1 the ,french has existence in any place4 nor anything similar that can be attributed to body1 pertains to our nature1 and nothing save thought alone2 and1 consequently1 that the notion we have of our mind precedes that of any corporeal thing1 and is more certain1 seeing we still doubt whether there is any body in existence1 while we already perceive that we think4 ,,ix4 ,what thought 7,,cogitatio7 is4 ,by the word thought1 ,i understand all that which so takes place in us that we of ourselves are immediately conscious of it2 and1 accordingly1 not only to understand 7,,intelligere1 ,,entendre71 to will 7,,velle71 to imagine 7,,imaginari71 but even to perceive 7,,sentire1 ,,sentir71 are here the same as to think 7,,cogitare1 ,,penser74 ,for if ,i say1 ,i see1 or1 ,i walk1 therefore ,i am2 and if ,i understand by vision or walking the act of my eyes or of my limbs1 which is the work of the body1 the conclusion is not absolutely certain1 because1 as is often the case in dreams1 ,i may think that ,i see or walk1 although ,i do not open my eyes or move from my place1 and even1 perhaps1 although ,i have no body3 but1 if ,i mean the sensation itself1 or consciousness of seeing or walking1 the knowledge is manifestly certain1 because it is then referred to the mind1 which alone perceives or is conscious that it sees or walks4 ,footnote3 ,in the ,french1 which alone has the power of perceiving1 or of being conscious in any other way whatever4 ,x4 ,that the notions which are simplest and self-evident1 are obscured by logical definitions2 and that such are not to be reckoned among the cognitions acquired by study1 but as born with us4 ,i do not here explain several other terms which ,i have used1 or design to use in the sequel1 because their meaning seems to me sufficiently self-evident4 ,and ,i frequently remarked that philosophers erred in attempting to explain1 by logical definitions1 such truths as are most simple and self-evident2 for they thus only rendered them more obscure4 ,and when ,i said that the proposition1 ,i ,,think1 ,,therefore ,i ,,am1 is of all others the first and most certain which occurs to one philosophizing orderly1 ,i did not therefore deny that it was necessary to know what thought1 existence1 and certitude are1 and the truth that1 in order to think it is necessary to be1 and the like2 but1 because these are the most simple notions1 and such as of themselves afford the knowledge of nothing existing1 ,i did not judge it proper there to enumerate them4 ,,xi4 ,how we can know our mind more clearly than our body4 ,but now that it may be discerned how the knowledge we have of the mind not only precedes1 and has greater certainty1 but is even clearer1 than that we have of the body1 it must be remarked1 as a matter that is highly manifest by the natural light1 that to nothing no affections or qualities belong2 and1 accordingly1 that where we observe certain affections1 there a thing or substance to which these pertain1 is necessarily found4 ,the same light also shows us that we know a thing or substance more clearly in proportion as we discover in it a greater number of qualities4 ,now1 it is manifest that we remark a greater number of qualities in our mind than in any other thing2 for there is no occasion on which we know anything whatever when we are not at the same time led with much greater certainty to the knowledge of our own mind4 ,for example1 if ,i judge that there is an earth because ,i touch or see it1 on the same ground1 and with still greater reason1 ,i must be persuaded that my mind exists2 for it may be1 perhaps1 that ,i think ,i touch the earth while there is one in existence2 but it is not possible that ,i should so judge1 and my mind which thus judges not exist2 and the same holds good of whatever object is presented to our mind4 ,,xii4 ,how it happens that every one does not come equally to know this4 ,those who have not philosophized in order have had other opinions on this subject1 because they never distinguished with sufficient care the mind from the body4 ,for1 although they had no difficulty in believing that they themselves existed1 and that they had a higher assurance of this than of any other thing1 nevertheless1 as they did not observe that by ,,themselves1 they ought here to understand their ,,minds alone when the question related to metaphysical certainty2 and since1 on the contrary1 they rather meant their bodies which they saw with their eyes1 touched with their hands1 and to which they erroneously attributed the faculty of perception1 they were prevented from distinctly apprehending the nature of the mind4 ,,xiii4 ,in what sense the knowledge of other things depends upon the knowledge of ,god4 ,but when the mind1 which thus knows itself but is still in doubt as to all other things1 looks around on all sides1 with a view to the farther extension of its knowledge1 it first of all discovers within itself the ideas of many things2 and while it simply contemplates them1 and neither affirms nor denies that there is anything beyond itself corresponding to them1 it is in no danger of erring4 ,the mind also discovers certain common notions out of which it frames various demonstrations that carry conviction to such a degree as to render doubt of their truth impossible1 so long as we give attention to them4 ,for example1 the mind has within itself ideas of numbers and figures1 and it has likewise among its common notions the principle ,,that ,,if ,,equals ,,be ,,added ,,to ,,equals ,,the ,,wholes ,,will ,,be ,,equal and the like2 from which it is easy to demonstrate that the three angles of a triangle are equal to two right angles1 etc4 ,now1 so long as we attend to the premises from which this conclusion and others similar to it were deduced1 we feel assured of their truth2 but1 as the mind cannot always think of these with attention1 when it has the remembrance of a conclusion without recollecting the order of its deduction1 and is uncertain whether the author of its being has created it of a nature that is liable to be deceived1 even in what appears most evident1 it perceives that there is just ground to distrust the truth of such conclusions1 and that it cannot possess any certain knowledge until it has discovered its author4 ,,xiv4 ,that we may validly infer the existence of ,god from necessary existence being comprised in the concept we have of him4 ,when the mind afterwards reviews the different ideas that are in it1 it discovers what is by far the chief among them--that of a ,being omniscient1 all-powerful1 and absolutely perfect2 and it observes that in this idea there is contained not only possible and contingent existence1 as in the ideas of all other things which it clearly perceives1 but existence absolutely necessary and eternal4 ,and just as because1 for example1 the equality of its three angles to two right angles is necessarily comprised in the idea of a triangle1 the mind is firmly persuaded that the three angles of a triangle are equal to two right angles2 so1 from its perceiving necessary and eternal existence to be comprised in the idea which it has of an all-perfect ,being1 it ought manifestly to conclude that this all-perfect ,being exists4 ,,xv4 ,that necessary existence is not in the same way comprised in the notions which we have of other things1 but merely contingent existence4 ,the mind will be still more certain of the truth of this conclusion1 if it consider that it has no idea of any other thing in which it can discover that necessary existence is contained2 for1 from this circumstance alone1 it will discern that the idea of an all-perfect ,being has not been framed by itself1 and that it does not represent a chimera1 but a true and immutable nature1 which must exist since it can only be conceived as necessarily existing4 ,,xvi4 ,that prejudices hinder many from clearly knowing the necessity of the existence of ,god4 ,our mind would have no difficulty in assenting to this truth1 if it were1 first of all1 wholly free from prejudices2 but as we have been accustomed to distinguish1 in all other things1 essence from existence1 and to imagine at will many ideas of things which neither are nor have been1 it easily happens1 when we do not steadily fix our thoughts on the contemplation of the all-perfect ,being1 that a doubt arises as to whether the idea we have of him is not one of those which we frame at pleasure1 or at least of that class to whose essence existence does not pertain4 ,,xvii4 ,that the greater objective 7representative7 perfection there is in our idea of a thing1 the greater also must be the perfection of its cause4 ,when we further reflect on the various ideas that are in us1 it is easy to perceive that there is not much difference among them1 when we consider them simply as certain modes of thinking1 but that they are widely different1 considered in reference to the objects they represent2 and that their causes must be so much the more perfect according to the degree of objective perfection contained in them4 ,footnote3 as what they represent of their object has more perfection4--,,french4 ,for there is no difference between this and the case of a person who has the idea of a machine1 in the construction of which great skill is displayed1 in which circumstances we have a right to inquire how he came by this idea1 whether1 for example1 he somewhere saw such a machine constructed by another1 or whether he was so accurately taught the mechanical sciences1 or is endowed with such force of genius1 that he was able of himself to invent it1 without having elsewhere seen anything like it2 for all the ingenuity which is contained in the idea objectively only1 or as it were in a picture1 must exist at least in its first and chief cause1 whatever that may be1 not only objectively or representatively1 but in truth formally or eminently4 ,,xviii4 ,that the existence of ,god may be again inferred from the above4 ,thus1 because we discover in our minds the idea of ,god1 or of an all-perfect ,being1 we have a right to inquire into the source whence we derive it2 and we will discover that the perfections it represents are so immense as to render it quite certain that we could only derive it from an all-perfect ,being2 that is1 from a ,god really existing4 ,for it is not only manifest by the natural light that nothing cannot be the cause of anything whatever1 and that the more perfect cannot arise from the less perfect1 so as to be thereby produced as by its efficient and total cause1 but also that it is impossible we can have the idea or representation of anything whatever1 unless there be somewhere1 either in us or out of us1 an original which comprises1 in reality1 all the perfections that are thus represented to us2 but1 as we do not in any way find in ourselves those absolute perfections of which we have the idea1 we must conclude that they exist in some nature different from ours1 that is1 in ,god1 or at least that they were once in him2 and it most manifestly follows from their infinity that they are still there4 ,,xix4 ,that1 although we may not comprehend the nature of ,god1 there is yet nothing which we know so clearly as his perfections4 ,this will appear sufficiently certain and manifest to those who have been accustomed to contemplate the idea of ,god1 and to turn their thoughts to his infinite perfections2 for1 although we may not comprehend them1 because it is of the nature of the infinite not to be comprehended by what is finite1 we nevertheless conceive them more clearly and distinctly than material objects1 for this reason1 that1 being simple1 and unobscured by limits1,footnote3 ,after ,,limits1 what of them we do conceive is much less confused4 ,there is1 besides1 no speculation more calculated to aid in perfecting our understanding1 and which is more important than this1 inasmuch as the consideration of an object that has no limits to its perfections fills us with satisfaction and assurance4-,,french4 they occupy our mind more fully4 ,,xx4 ,that we are not the cause of ourselves1 but that this is ,god1 and consequently that there is a ,god4 ,but1 because every one has not observed this1 and because1 when we have an idea of any machine in which great skill is displayed1 we usually know with sufficient accuracy the manner in which we obtained it1 and as we cannot even recollect when the idea we have of a ,god was communicated to us by him1 seeing it was always in our minds1 it is still necessary that we should continue our review1 and make inquiry after our author1 possessing1 as we do1 the idea of the infinite perfections of a ,god3 for it is in the highest degree evident by the natural light1 that that which knows something more perfect than itself1 is not the source of its own being1 since it would thus have given to itself all the perfections which it knows2 and that1 consequently1 it could draw its origin from no other being than from him who possesses in himself all those perfections1 that is1 from ,god4 ,,xxi4 ,that the duration alone of our life is sufficient to demonstrate the existence of ,god4 ,the truth of this demonstration will clearly appear1 provided we consider the nature of time1 or the duration of things2 for this is of such a kind that its parts are not mutually dependent1 and never co-existent2 and1 accordingly1 from the fact that we now are1 it does not necessarily follow that we shall be a moment afterwards1 unless some cause1 viz41 that which first produced us1 shall1 as it were1 continually reproduce us1 that is1 conserve us4 ,for we easily understand that there is no power in us by which we can conserve ourselves1 and that the being who has so much power as to conserve us out of himself1 must also by so much the greater reason conserve himself1 or rather stand in need of being conserved by no one whatever1 and1 in fine1 be ,god4 ,,xxii4 ,that in knowing the existence of ,god1 in the manner here explained1 we likewise know all his attributes1 as far as they can be known by the natural light alone4 ,there is the great advantage in proving the existence of ,god in this way1 viz41 by his idea1 that we at the same time know what he is1 as far as the weakness of our nature allows2 for1 reflecting on the idea we have of him which is born with us1 we perceive that he is eternal1 omniscient1 omnipotent1 the source of all goodness and truth1 creator of all things1 and that1 in fine1 he has in himself all that in which we can clearly discover any infinite perfection or good that is not limited by any imperfection4 ,,xxiii4 ,that ,god is not corporeal1 and does not perceive by means of senses as we do1 or will the evil of sin4 ,for there are indeed many things in the world that are to a certain extent imperfect or limited1 though possessing also some perfection2 and it is accordingly impossible that any such can be in ,god4 ,thus1 looking to corporeal nature1,footnote3 ,in the ,french1 since extension constitutes the nature of body4 since divisibility is included in local extension1 and this indicates imperfection1 it is certain that ,god is not body4 ,and although in men it is to some degree a perfection to be capable of perceiving by means of the senses1 nevertheless since in every sense there is passivity ,footnote3 ,in the ,french1 because our perceptions arise from impressions made upon us from another source1 i4e41 than ourselves4 which indicates dependency1 we must conclude that ,god is in no manner possessed of senses1 and that he only understands and wills1 not1 however1 like us1 by acts in any way distinct1 but always by an act that is one1 identical1 and the simplest possible1 understands1 wills1 and operates all1 that is1 all things that in reality exist2 for he does not will the evil of sin1 seeing this is but the negation of being4 ,,xxiv4 ,that in passing from the knowledge of ,god to the knowledge of the creatures1 it is necessary to remember that our understanding is finite1 and the power of ,god infinite4 ,but as we know that ,god alone is the true cause of all that is or can be1 we will doubtless follow the best way of philosophizing1 if1 from the knowledge we have of ,god himself1 we pass to the explication of the things which he has created1 and essay to deduce it from the notions that are naturally in our minds1 for we will thus obtain the most perfect science1 that is1 the knowledge of effects through their causes4 ,but that we may be able to make this attempt with sufficient security from error1 we must use the precaution to bear in mind as much as possible that ,god1 who is the author of things1 is infinite1 while we are wholly finite4 ,,xxv4 ,that we must believe all that ,god has revealed1 although it may surpass the reach of our faculties4 ,thus1 if perhaps ,god reveal to us or others1 matters concerning himself which surpass the natural powers of our mind1 such as the mysteries of the incarnation and of the trinity1 we will not refuse to believe them1 although we may not clearly understand them2 nor will we be in any way surprised to find in the immensity of his nature1 or even in what he has created1 many things that exceed our comprehension4 ,,xxvi4 ,that it is not needful to enter into disputes ,footnote3 to essay to comprehend the infinite4--,,french4 regarding the infinite1 but merely to hold all that in which we can find no limits as indefinite1 such as the extension of the world1 the divisibility of the parts of matter1 the number of the stars1 etc4 ,we will thus never embarrass ourselves by disputes about the infinite1 seeing it would be absurd for us who are finite to undertake to determine anything regarding it1 and thus as it were to limit it by endeavouring to comprehend it4 ,we will accordingly give ourselves no concern to reply to those who demand whether the half of an infinite line is also infinite1 and whether an infinite number is even or odd1 and the like1 because it is only such as imagine their minds to be infinite who seem bound to entertain questions of this sort4 ,and1 for our part1 looking to all those things in which in certain senses1 we discover no limits1 we will not1 therefore1 affirm that they are infinite1 but will regard them simply as indefinite4 ,thus1 because we cannot imagine extension so great that we cannot still conceive greater1 we will say that the magnitude of possible things is indefinite1 and because a body cannot be divided into parts so small that each of these may not be conceived as again divided into others still smaller1 let us regard quantity as divisible into parts whose number is indefinite2 and as we cannot imagine so many stars that it would seem impossible for ,god to create more1 let us suppose that their number is indefinite1 and so in other instances4 ,,xxvii4 ,what difference there is between the indefinite and the infinite4 ,and we will call those things indefinite rather than infinite1 with the view of reserving to ,god alone the appellation of infinite2 in the first place1 because not only do we discover in him alone no limits on any side1 but also because we positively conceive that he admits of none2 and in the second place1 because we do not in the same way positively conceive that other things are in every part unlimited1 but merely negatively admit that their limits1 if they have any1 cannot be discovered by us4 ,,xxviii4 ,that we must examine1 not the final1 but the efficient1 causes of created things4 ,likewise1 finally1 we will not seek reasons of natural things from the end which ,god or nature proposed to himself in their creation 7i4 e41 final causes71 ,footnote3 ,we will not stop to consider the ends which ,god proposed to himself in the creation of the world1 and we will entirely reject from our philosophy the search of final causes6--,french4 for we ought not to presume so far as to think that we are sharers in the counsels of ,deity1 but1 considering him as the efficient cause of all things1 let us endeavour to discover by the natural light ,footnote3 ,faculty of reasoning4--,,french4 which he has planted in us1 applied to those of his attributes of which he has been willing we should have some knowledge1 what must be concluded regarding those effects we perceive by our senses2 bearing in mind1 however1 what has been already said1 that we must only confide in this natural light so long as nothing contrary to its dictates is revealed by ,god himself4 ,footnote3 ,the last clause1 beginning bearing in mind4 is omitted in the ,french4 ,,xxix4 ,that ,god is not the cause of our errors4 ,the first attribute of ,god which here falls to be considered1 is that he is absolutely veracious and the source of all light1 so that it is plainly repugnant for him to deceive us1 or to be properly and positively the cause of the errors to which we are consciously subject2 for although the address to deceive seems to be some mark of subtlety of mind among men1 yet without doubt the will to deceive only proceeds from malice or from fear and weakness1 and consequently cannot be attributed to ,god4 ,,xxx4 ,that consequently all which we clearly perceive is true1 and that we are thus delivered from the doubts above proposed4 ,whence it follows1 that the light of nature1 or faculty of knowledge given us by ,god1 can never compass any object which is not true1 in as far as it attains to a knowledge of it1 that is1 in as far as the object is clearly and distinctly apprehended4 ,for ,god would have merited the appellation of a deceiver if he had given us this faculty perverted1 and such as might lead us to take falsity for truth when we used it aright4 ,thus the highest doubt is removed1 which arose from our ignorance on the point as to whether perhaps our nature was such that we might be deceived even in those things that appear to us the most evident4 ,the same principle ought also to be of avail against all the other grounds of doubting that have been already enumerated4 ,for mathematical truths ought now to be above suspicion1 since these are of the clearest4 ,and if we perceive anything by our senses1 whether while awake or asleep1 we will easily discover the truth provided we separate what there is of clear and distinct in the knowledge from what is obscure and confused4 ,there is no need that ,i should here say more on this subject1 since it has already received ample treatment in the metaphysical ,meditations2 and what follows will serve to explain it still more accurately4 ,,xxxi4 ,that our errors are1 in respect of ,god1 merely negations1 but1 in respect of ourselves1 privations4 ,but as it happens that we frequently fall into error1 although ,god is no deceiver1 if we desire to inquire into the origin and cause of our errors1 with a view to guard against them1 it is necessary to observe that they depend less on our understanding than on our will1 and that they have no need of the actual concourse of ,god1 in order to their production2 so that1 when considered in reference to ,god1 they are merely negations1 but in reference to ourselves1 privations4 ,,xxxii4 ,that there are only two modes of thinking in us1 viz41 the perception of the understanding and the action of the will4 ,for all the modes of thinking of which we are conscious may be referred to two general classes1 the one of which is the perception or operation of the understanding1 and the other the volition or operation of the will4 ,thus1 to perceive by the senses 7,,sentire71 to imagine1 and to conceive things purely intelligible1 are only different modes of perceiving 7,,percip ,,iendi72 but to desire1 to be averse from1 to affirm1 to deny1 to doubt1 are different modes of willing4 ,,xxxiii4 ,that we never err unless when we judge of something which we do not sufficiently apprehend4 ,when we apprehend anything we are in no danger of error1 if we refrain from judging of it in any way2 and even when we have formed a judgment regarding it1 we would never fall into error1 provided we gave our assent only to what we clearly and distinctly perceived2 but the reason why we are usually deceived1 is that we judge without possessing an exact knowledge of that of which we judge4 ,,xxxiv4 ,that the will as well as the understanding is required for judging4 ,i admit that the understanding is necessary for judging1 there being no room to suppose that we can judge of that which we in no way apprehend2 but the will also is required in order to our assenting to what we have in any degree perceived4 ,it is not necessary1 however1 at least to form any judgment whatever1 that we have an entire and perfect apprehension of a thing2 for we may assent to many things of which we have only a very obscure and confused knowledge4 ,,xxxv4 ,that the will is of greater extension than the understanding1 and is thus the source of our errors4 ,further1 the perception of the intellect extends only to the few things that are presented to it1 and is always very limited3 the will1 on the other hand1 may1 in a certain sense1 be said to be infinite1 because we observe nothing that can be the object of the will of any other1 even of the unlimited will of ,god1 to which ours cannot also extend1 so that we easily carry it beyond the objects we clearly perceive2 and when we do this1 it is not wonderful that we happen to be deceived4 ,,xxxvi4 ,that our errors cannot be imputed to ,god4 ,but although ,god has not given us an omniscient understanding1 he is not on this account to be considered in any wise the author of our errors1 for it is of the nature of created intellect to be finite1 and of finite intellect not to embrace all things4 ,,xxxvii4 ,that the chief perfection of man is his being able to act freely or by will1 and that it is this which renders him worthy of praise or blame4 ,that the will should be the more extensive is in harmony with its nature3 and it is a high perfection in man to be able to act by means of it1 that is1 freely2 and thus in a peculiar way to be the master of his own actions1 and merit praise or blame4 ,for self- acting machines are not commended because they perform with exactness all the movements for which they were adapted1 seeing their motions are carried on necessarily2 but the maker of them is praised on account of the exactness with which they were framed1 because he did not act of necessity1 but freely2 and1 on the same principle1 we must attribute to ourselves something more on this account1 that when we embrace truth1 we do so not of necessity1 but freely4 ,,xxxviii4 ,that error is a defect in our mode of acting1 not in our nature2 and that the faults of their subjects may be frequently attributed to other masters1 but never to ,god4 ,it is true1 that as often as we err1 there is some defect in our mode of action or in the use of our liberty1 but not in our nature1 because this is always the same1 whether our judgments be true or false4 ,and although ,god could have given to us such perspicacity of intellect that we should never have erred1 we have1 notwithstanding1 no right to demand this of him2 for1 although with us he who was able to prevent evil and did not is held guilty of it1 ,god is not in the same way to be reckoned responsible for our errors because he had the power to prevent them1 inasmuch as the dominion which some men possess over others has been instituted for the purpose of enabling them to hinder those under them from doing evil1 whereas the dominion which ,god exercises over the universe is perfectly absolute and free4 ,for this reason we ought to thank him for the goods he has given us1 and not complain that he has not blessed us with all which we know it was in his power to impart4 ,,xxxix4 ,that the liberty of our will is self-evident4 ,finally1 it is so manifest that we possess a free will1 capable of giving or withholding its assent1 that this truth must be reckoned among the first and most common notions which are born with us4 ,this1 indeed1 has already very clearly appeared1 for when essaying to doubt of all things1 we went so far as to suppose even that he who created us employed his limitless power in deceiving us in every way1 we were conscious nevertheless of being free to abstain from believing what was not in every respect certain and undoubted4 ,but that of which we are unable to doubt at such a time is as self- evident and clear as any thing we can ever know4 ,,xl4 ,that it is likewise certain that ,god has fore-ordained all things4 ,but because what we have already discovered of ,god1 gives us the assurance that his power is so immense that we would sin in thinking ourselves capable of ever doing anything which he had not ordained beforehand1 we should soon be embarrassed in great difficulties if we undertook to harmonise the pre-ordination of ,god with the freedom of our will1 and endeavoured to comprehend both truths at once4 ,,xli4 ,how the freedom of our will may be reconciled with the ,divine pre-ordination4 ,but1 in place of this1 we will be free from these embarrassments if we recollect that our mind is limited1 while the power of ,god1 by which he not only knew from all eternity what is or can be1 but also willed and pre-ordained it1 is infinite4 ,it thus happens that we possess sufficient intelligence to know clearly and distinctly that this power is in ,god1 but not enough to comprehend how he leaves the free actions of men indeterminate and1 on the other hand1 we have such consciousness of the liberty and indifference which exists in ourselves1 that there is nothing we more clearly or perfectly comprehend3 so that the omnipotence of ,god ought not to keep us from believing it4 ,for it would be absurd to doubt of that of which we are fully conscious1 and which we experience as existing in ourselves1 because we do not comprehend another matter which1 from its very nature1 we know to be incomprehensible4 ,,xlii4 ,how1 although we never will to err1 it is nevertheless by our will that we do err4 ,but now since we know that all our errors depend upon our will1 and as no one wishes to deceive himself1 it may seem wonderful that there is any error in our judgments at all4 ,it is necessary to remark1 however1 that there is a great difference between willing to be deceived1 and willing to yield assent to opinions in which it happens that error is found4 ,for though there is no one who expressly wishes to fall into error1 we will yet hardly find any one who is not ready to assent to things in which1 unknown to himself1 error lurks2 and it even frequently happens that it is the desire itself of following after truth that leads those not fully aware of the order in which it ought to be sought for1 to pass judgment on matters of which they have no adequate knowledge1 and thus to fall into error4 ,,xliii4 ,that we shall never err if we give our assent only to what we clearly and distinctly perceive4 ,but it is certain we will never admit falsity for truth1 so long as we judge only of that which we clearly and distinctly perceive2 because1 as ,god is no deceiver1 the faculty of knowledge which he has given us cannot be fallacious1 nor1 for the same reason1 the faculty of will1 when we do not extend it beyond the objects we clearly know4 ,and even although this truth could not be established by reasoning1 the minds of all have been so impressed by nature as spontaneously to assent to whatever is clearly perceived1 and to experience an impossibility to doubt of its truth4 ,,xliv4 ,that we uniformly judge improperly when we assent to what we do not clearly perceive1 although our judgment may chance to be true2 and that it is frequently our memory which deceives us by leading us to believe that certain things were formerly sufficiently understood by us4 ,it is likewise certain that1 when we approve of any reason which we do not apprehend1 we are either deceived1 or1 if we stumble on the truth1 it is only by chance1 and thus we can never possess the assurance that we are not in error4 ,i confess it seldom happens that we judge of a thing when we have observed we do not apprehend it1 because it is a dictate of the natural light never to judge of what we do not know4 ,but we most frequently err in this1 that we presume upon a past knowledge of much to which we give our assent1 as to something treasured up in the memory1 and perfectly known to us2 whereas1 in truth1 we have no such knowledge4 ,,xlv4 ,what constitutes clear and distinct perception4 ,there are indeed a great many persons who1 through their whole lifetime1 never perceive anything in a way necessary for judging of it properly2 for the knowledge upon which we can establish a certain and indubitable judgment must be not only clear1 but also1 distinct4 ,i call that clear which is present and manifest to the mind giving attention to it1 just as we are said clearly to see objects when1 being present to the eye looking on1 they stimulate it with sufficient force4 and it is disposed to regard them2 but the distinct is that which is so precise and different from all other objects as to comprehend in itself only what is clear4 ,footnote3 what appears manifestly to him who considers it as he ought4-- ,,french4 ,,xlvi4 ,it is shown1 from the example of pain1 that a perception may be clear without being distinct1 but that it cannot be distinct unless it is clear4 ,for example1 when any one feels intense pain1 the knowledge which he has of this pain is very clear1 but it is not always distinct2 for men usually confound it with the obscure judgment they form regarding its nature1 and think that there is in the suffering part something similar to the sensation of pain of which they are alone conscious4 ,and thus perception may be clear without being distinct1 but it can never be distinct without likewise being clear4 ,,xlvii4 ,that1 to correct the prejudices of our early years1 we must consider what is clear in each of our simple ,footnote3 first4-- ,,french4 notions4 ,and1 indeed1 in our early years1 the mind was so immersed in the body1 that1 although it perceived many things with sufficient clearness1 it yet knew nothing distinctly2 and since even at that time we exercised our judgment in many matters1 numerous prejudices were thus contracted1 which1 by the majority1 are never afterwards laid aside4 ,but that we may now be in a position to get rid of these1 ,i will here briefly enumerate all the simple notions of which our thoughts are composed1 and distinguish in each what is clear from what is obscure1 or fitted to lead into error4 ,,xlviii4 ,that all the objects of our knowledge are to be regarded either 7#a7 as things or the affections of things3 or 7#b7 as eternal truths2 with the enumeration of things4 ,whatever objects fall under our knowledge we consider either as things or the affections of things1,footnote3 ,things and the affections of things are 7in the ,french7 equivalent to what has some 7i4e41 a ,,real7 existence1 as opposed to the class of eternal truths1 which have merely an ,,ideal existence4 or as eternal truths possessing no existence beyond our thought4 ,of the first class the most general are substance1 duration1 order1 number1 and perhaps also some others1 which notions apply to all the kinds of things4 ,i do not1 however1 recognise more than two highest kinds 7,,summa ,,genera7 of things2 the first of intellectual things1 or such as have the power of thinking1 including mind or thinking substance and its properties2 the second1 of material things1 embracing extended substance1 or body and its properties4 ,perception1 volition1 and all modes as well of knowing as of willing1 are related to thinking substance2 on the other hand1 to extended substance we refer magnitude1 or extension in length1 breadth1 and depth1 figure1 motion1 situation1 divisibility of parts themselves1 and the like4 ,there are1 however1 besides these1 certain things of which we have an internal experience that ought not to be referred either to the mind of itself1 or to the body alone1 but to the close and intimate union between them1 as will hereafter be shown in its place4 ,of this class are the appetites of hunger and thirst1 etc41 and also the emotions or passions of the mind which are not exclusively mental affections1 as the emotions of anger1 joy1 sadness1 love1 etc42 and1 finally1 all the sensations1 as of pain1 titillation1 light and colours1 sounds1 smells1 tastes1 heat1 hardness1 and the other tactile qualities4 ,,xlix4 ,that the eternal truths cannot be thus enumerated1 but that this is not necessary4 ,what ,i have already enumerated we are to regard as things1 or the qualities or modes of things4 ,we now come to speak of eternal truths4 ,when we apprehend that it is impossible a thing can arise from nothing1 this proposition1 ,,ex ,,nihilo ,,nihil ,,fit1 is not considered as somewhat existing1 or as the mode of a thing1 but as an eternal truth having its seat in our mind1 and is called a common notion or axiom4 ,of this class are the following3--,it is impossible the same thing can at once be and not be2 what is done cannot be undone2 he who thinks must exist while he thinks2 and innumerable others1 the whole of which it is indeed difficult to enumerate1 but this is not necessary1 since1 if blinded by no prejudices1 we cannot fail to know them when the occasion of thinking them occurs4 ,l4 ,that these truths are clearly perceived1 but not equally by all men1 on account of prejudices4 ,and1 indeed1 with regard to these common notions1 it is not to be doubted that they can be clearly and distinctly known1 for otherwise they would not merit this appellation3 as1 in truth1 some of them are not1 with respect to all men1 equally deserving of the name1 because they are not equally admitted by all3 not1 however1 from this reason1 as ,i think1 that the faculty of knowledge of one man extends farther than that of another1 but rather because these common notions are opposed to the prejudices of some1 who1 on this account1 are not able readily to embrace them1 even although others1 who are free from those prejudices1 apprehend them with the greatest clearness4 ,,li4 ,what substance is1 and that the term is not applicable to ,god and the creatures in the same sense4 ,but with regard to what we consider as things or the modes of things1 it is worth while to examine each of them by itself4 ,by substance we can conceive nothing else than a thing which exists in such a way as to stand in need of nothing beyond itself in order to its existence4 ,and1 in truth1 there can be conceived but one substance which is absolutely independent1 and that is ,god4 ,we perceive that all other things can exist only by help of the concourse of ,god4 ,and1 accordingly1 the term substance does not apply to ,god and the creatures ,,univocally1 to adopt a term familiar in the schools2 that is1 no signification of this word can be distinctly understood which is common to ,god and them4 ,,lii4 ,that the term is applicable univocally to the mind and the body1 and how substance itself is known4 ,created substances1 however1 whether corporeal or thinking1 may be conceived under this common concept2 for these are things which1 in order to their existence1 stand in need of nothing but the concourse of ,god4 ,but yet substance cannot be first discovered merely from its being a thing which exists independently1 for existence by itself is not observed by us4 ,we easily1 however1 discover substance itself from any attribute of it1 by this common notion1 that of nothing there are no attributes1 properties1 or qualities3 for1 from perceiving that some attribute is present1 we infer that some existing thing or substance to which it may be attributed is also of necessity present4 ,,liii4 ,that of every substance there is one principal attribute1 as thinking of the mind1 extension of the body4 ,but1 although any attribute is sufficient to lead us to the knowledge of substance1 there is1 however1 one principal property of every substance1 which constitutes its nature or essence1 and upon which all the others depend4 ,thus1 extension in length1 breadth1 and depth1 constitutes the nature of corporeal substance2 and thought the nature of thinking substance4 ,for every other thing that can be attributed to body1 presupposes extension1 and is only some mode of an extended thing2 as all the properties we discover in the mind are only diverse modes of thinking4 ,thus1 for example1 we cannot conceive figure unless in something extended1 nor motion unless in extended space1 nor imagination1 sensation1 or will1 unless in a thinking thing4 ,but1 on the other hand1 we can conceive extension without figure or motion1 and thought without imagination or sensation1 and so of the others2 as is clear to any one who attends to these matters4 ,,liv4 ,how we may have clear and distinct notions of the substance which thinks1 of that which is corporeal1 and of ,god4 ,and thus we may easily have two clear and distinct notions or ideas1 the one of created substance1 which thinks1 the other of corporeal substance1 provided we carefully distinguish all the attributes of thought from those of extension4 ,we may also have a clear and distinct idea of an uncreated and independent thinking substance1 that is1 of ,god1 provided we do not suppose that this idea adequately represents to us all that is in ,god1 and do not mix up with it anything fictitious1 but attend simply to the characters that are comprised in the notion we have of him1 and which we clearly know to belong to the nature of an absolutely perfect ,being4 ,for no one can deny that there is in us such an idea of ,god1 without groundlessly supposing that there is no knowledge of ,god at all in the human mind4 ,,lv4 ,how duration1 order1 and number may be also distinctly conceived4 ,we will also have most distinct conceptions of duration1 order1 and number1 if1 in place of mixing up with our notions of them that which properly belongs to the concept of substance1 we merely think that the duration of a thing is a mode under which we conceive this thing1 in so far as it continues to exist2 and1 in like manner1 that order and number are not in reality different from things disposed in order and numbered1 but only modes under which we diversely consider these things4 ,,lvi4 ,what are modes1 qualities1 attributes4 ,and1 indeed1 we here understand by modes the same with what we elsewhere designate attributes or qualities4 ,but when we consider substance as affected or varied by them1 we use the term modes2 when from this variation it may be denominated of such a kind1 we adopt the term qualities to designate the different modes which cause it to be so named2 and1 finally1 when we simply regard these modes as in the substance1 we call them attributes4 ,accordingly1 since ,god must be conceived as superior to change1 it is not proper to say that there are modes or qualities in him1 but simply attributes2 and even in created things that which is found in them always in the same mode1 as existence and duration in the thing which exists and endures1 ought to be called attribute and not mode or quality4 ,,lvii4 ,that some attributes exist in the things to which they are attributed1 and others only in our thought2 and what duration and time are4 ,of these attributes or modes there are some which exist in the things themselves1 and others that have only an existence in our thought2 thus1 for example1 time1 which we distinguish from duration taken in its generality1 and call the measure of motion1 is only a certain mode under which we think duration itself1 for we do not indeed conceive the duration of things that are moved to be different from the duration of things that are not moved3 as is evident from this1 that if two bodies are in motion for an hour1 the one moving quickly and the other slowly1 we do not reckon more time in the one than in the other1 although there may be much more motion in the one of the bodies than in the other4 ,but that we may comprehend the duration of all things under a common measure1 we compare their duration with that of the greatest and most regular motions that give rise to years and days1 and which we call time2 hence what is so designated is nothing superadded to duration1 taken in its generality1 but a mode of thinking4 ,,lviii4 ,that number and all universals are only modes of thought4 ,in the same way number1 when it is not considered as in created things1 but merely in the abstract or in general1 is only a mode of thinking2 and the same is true of all those general ideas we call universals4 ,,lix4 ,how universals are formed2 and what are the five common1 viz41 genus1 species1 difference1 property1 and accident4 ,universals arise merely from our making use of one and the same idea in thinking of all individual objects between which there subsists a certain likeness2 and when we comprehend all the objects represented by this idea under one name1 this term likewise becomes universal4 ,for example1 when we see two stones1 and do not regard their nature farther than to remark that there are two of them1 we form the idea of a certain number1 which we call the binary2 and when we afterwards see two birds or two trees1 and merely take notice of them so far as to observe that there are two of them1 we again take up the same idea as before1 which is1 accordingly1 universal2 and we likewise give to this number the same universal appellation of binary4 ,in the same way1 when we consider a figure of three sides1 we form a certain idea1 which we call the idea of a triangle1 and we afterwards make use of it as the universal to represent to our mind all other figures of three sides4 ,but when we remark more particularly that of figures of three sides1 some have a right angle and others not1 we form the universal idea of a right-angled triangle1 which being related to the preceding as more general1 may be called species2 and the right angle the universal difference by which right-angled triangles are distinguished from all others2 and farther1 because the square of the side which sustains the right angle is equal to the squares of the other two sides1 and because this property belongs only to this species of triangles1 we may call it the universal property of the species4 ,finally1 if we suppose that of these triangles some are moved and others not1 this will be their universal accident2 and1 accordingly1 we commonly reckon five universals1 viz41 genus1 species1 difference1 property1 accident4 ,,lx4 ,of distinctions2 and first of the real4 ,but number in things themselves arises from the distinction there is between them3 and distinction is threefold1 viz41 real1 modal1 and of reason4 ,the real properly subsists between two or more substances2 and it is sufficient to assure us that two substances are really mutually distinct1 if only we are able clearly and distinctly to conceive the one of them without the other4 ,for the knowledge we have of ,god renders it certain that he can effect all that of which we have a distinct idea3 wherefore1 since we have now1 for example1 the idea of an extended and corporeal substance1 though we as yet do not know with certainty whether any such thing is really existent1 nevertheless1 merely because we have the idea of it1 we may be assured that such may exist2 and1 if it really exists1 that every part which we can determine by thought must be really distinct from the other parts of the same substance4 ,in the same way1 since every one is conscious that he thinks1 and that he in thought can exclude from himself every other substance1 whether thinking or extended1 it is certain that each of us thus considered is really distinct from every other thinking and corporeal substance4 ,and although we suppose that ,god united a body to a soul so closely that it was impossible to form a more intimate union1 and thus made a composite whole1 the two substances would remain really distinct1 notwithstanding this union2 for with whatever tie ,god connected them1 he was not able to rid himself of the power he possessed of separating them1 or of conserving the one apart from the other1 and the things which ,god can separate or conserve separately are really distinct4 ,,lxi4 ,of the modal distinction4 ,there are two kinds of modal distinctions1 viz41 that between the mode properly so-called and the substance of which it is a mode1 and that between two modes of the same substance4 ,of the former we have an example in this1 that we can clearly apprehend substance apart from the mode which we say differs from it2 while1 on the other hand1 we cannot conceive this mode without conceiving the substance itself4 ,there is1 for example1 a modal distinction between figure or motion and corporeal substance in which both exist2 there is a similar distinction between affirmation or recollection and the mind4 ,of the latter kind we have an illustration in our ability to recognise the one of two modes apart from the other1 as figure apart from motion1 and motion apart from figure2 though we cannot think of either the one or the other without thinking of the common substance in which they adhere4 ,if1 for example1 a stone is moved1 and is withal square1 we can1 indeed1 conceive its square figure without its motion1 and reciprocally its motion without its square figure2 but we can conceive neither this motion nor this figure apart from the substance of the stone4 ,as for the distinction according to which the mode of one substance is different from another substance1 or from the mode of another substance1 as the motion of one body is different from another body or from the mind1 or as motion is different from doubt1 it seems to me that it should be called real rather than modal1 because these modes cannot be clearly conceived apart from the really distinct substances of which they are the modes4 ,,lxii4 ,of the distinction of reason 7logical distinction74 ,finally1 the distinction of reason is that between a substance and some one of its attributes1 without which it is impossible1 however1 we can have a distinct conception of the substance itself2 or between two such attributes of a common substance1 the one of which we essay to think without the other4 ,this distinction is manifest from our inability to form a clear and distinct idea of such substance1 if we separate from it such attribute2 or to have a clear perception of the one of two such attributes if we separate it from the other4 ,for example1 because any substance which ceases to endure ceases also to exist1 duration is not distinct from substance except in thought 7,,ratione72 and in general all the modes of thinking which we consider as in objects differ only in thought1 as well from the objects of which they are thought as from each other in a common object4,footnote3 and generally all the attributes that lead us to entertain different thoughts of the same thing1 such as1 for example1 the extension of body and its property of divisibility1 do not differ from the body which is to us the object of them1 or from each other1 unless as we sometimes confusedly think the one without thinking the other4--,,french4 ,it occurs1 indeed1 to me that ,i have elsewhere classed this kind of distinction with the modal 7viz41 towards the end of the ,reply to the ,first ,objections to the ,meditations on the ,first ,philosophy72 but there it was only necessary to treat of these distinctions generally1 and it was sufficient for my purpose at that time simply to distinguish both of them from the real4 ,,lxiii4 ,how thought and extension may be distinctly known1 as constituting1 the one the nature of mind1 the other that of body4 ,thought and extension may be regarded as constituting the natures of intelligent and corporeal substance2 and then they must not be otherwise conceived than as the thinking and extended substances themselves1 that is1 as mind and body1 which in this way are conceived with the greatest clearness and distinctness4 ,moreover1 we more easily conceive extended or thinking substance than substance by itself1 or with the omission of its thinking or extension4 ,for there is some difficulty in abstracting the notion of substance from the notions of thinking and extension1 which1 in truth1 are only diverse in thought itself 7i4e41 logically different72 and a concept is not more distinct because it comprehends fewer properties1 but because we accurately distinguish what is comprehended in it from all other notions4 ,,lxiv4 ,how these may likewise be distinctly conceived as modes of substance4 ,thought and extension may be also considered as modes of substance2 in as far1 namely1 as the same mind may have many different thoughts1 and the same body1 with its size unchanged1 may be extended in several diverse ways1 at one time more in length and less in breadth or depth1 and at another time more in breadth and less in length2 and then they are modally distinguished from substance1 and can be conceived not less clearly and distinctly1 provided they be not regarded as substances or things separated from others1 but simply as modes of things4 ,for by regarding them as in the substances of which they are the modes1 we distinguish them from these substances1 and take them for what in truth they are3 whereas1 on the other hand1 if we wish to consider them apart from the substances in which they are1 we should by this itself regard them as self-subsisting things1 and thus confound the ideas of mode and substance4 ,,lxv4 ,how we may likewise know their modes4 ,in the same way we will best apprehend the diverse modes of thought1 as intellection1 imagination1 recollection1 volition1 etc41 and also the diverse modes of extension1 or those that belong to extension1 as all figures1 the situation of parts and their motions1 provided we consider them simply as modes of the things in which they are2 and motion as far as it is concerned1 provided we think merely of locomotion1 without seeking to know the force that produces it1 and which nevertheless ,i will essay to explain in its own place4 ,,lxvi4 ,how our sensations1 affections1 and appetites may be clearly known1 although we are frequently wrong in our judgments regarding them4 ,there remain our sensations1 affections1 and appetites1 of which we may also have a clear knowledge1 if we take care to comprehend in the judgments we form of them only that which is precisely contained in our perception of them1 and of which we are immediately conscious4 ,there is1 however1 great difficulty in observing this1 at least in respect of sensations2 because we have all1 without exception1 from our youth judged that all the things we perceived by our senses had an existence beyond our thought1 and that they were entirely similar to the sensations1 that is1 perceptions1 we had of them4 ,thus when1 for example1 we saw a certain colour1 we thought we saw something occupying a place out of us1 and which was entirely similar to that idea of colour we were then conscious of2 and from the habit of judging in this way1 we seemed to see this so clearly and distinctly that we esteemed it 7i4e41 the externality of the colour7 certain and indubitable4 ,,lxvii4 ,that we are frequently deceived in our judgments regarding pain itself4 ,the same prejudice has place in all our other sensations1 even in those of titillation and pain4 ,for though we are not in the habit of believing that there exist out of us objects that resemble titillation and pain1 we do not nevertheless consider these sensations as in the mind alone1 or in our perception1 but as in the hand1 or foot1 or some other part of our body4 ,there is no reason1 however1 to constrain us to believe that the pain1 for example1 which we feel1 as it were1 in the foot is something out of the mind existing in the foot1 or that the light which we see1 as it were1 in the sun exists in the sun as it is in us4 ,both these beliefs are prejudices of our early years1 as will clearly appear in the sequel4 ,,lxviii4 ,how in these things what we clearly conceive is to be distinguished from that in which we may be deceived4 ,but that we may distinguish what is clear in our sensations from what is obscure1 we ought most carefully to observe that we possess a clear and distinct knowledge of pain1 colour1 and other things of this sort1 when we consider them simply as sensations or thoughts2 but that1 when they are judged to be certain things subsisting beyond our mind1 we are wholly unable to form any conception of them4 ,indeed1 when any one tells us that he sees colour in a body or feels pain in one of his limbs1 this is exactly the same as if he said that he there saw or felt something of the nature of which he was entirely ignorant1 or that he did not know what he saw or felt4 ,for although1 when less attentively examining his thoughts1 a person may easily persuade himself that he has some knowledge of it1 since he supposes that there is something resembling that sensation of colour or of pain of which he is conscious2 yet1 if he reflects on what the sensation of colour or pain represents to him as existing in a coloured body or in a wounded member1 he will find that of such he has absolutely no knowledge4 ,,lxix4 ,that magnitude1 figure1 etc41 are known far differently from colour1 pain1 etc4 ,what we have said above will be more manifest2 especially if we consider that size in the body perceived1 figure1 motion 7at least local1 for philosophers by fancying other kinds of motion have rendered its nature less intelligible to themselves71 the situation of parts1 duration1 number1 and those other properties which1 as we have already said1 we clearly perceive in all bodies1 are known by us in a way altogether different from that in which we know what colour is in the same body1 or pain1 smell1 taste1 or any other of those properties which ,i have said above must be referred to the senses4 ,for although when we see a body we are not less assured of its existence from its appearing figured than from its appearing coloured1,footnote3 by the colour we perceive on occasion of it4-- ,,french4 we yet know with far greater clearness its property of figure than its colour4 ,,lxx4 ,that we may judge of sensible things in two ways1 by the one of which we avoid error1 by the other fall into it4 ,it is thus manifest that to say we perceive colours in objects is in reality equivalent to saying we perceive something in objects and are yet ignorant of what it is1 except as that which determines in us a certain highly vivid and clear sensation1 which we call the sensation of colours4 ,there is1 however1 very great diversity in the manner of judging3 for so long as we simply judge that there is an unknown something in objects 7that is1 in things such as they are1 from which the sensation reached us71 so far are we from falling into error that1 on the contrary1 we thus rather provide against it1 for we are less apt to judge rashly of a thing which we observe we do not know4 ,but when we think we perceive colours in objects1 although we are in reality ignorant of what we then denominate colour1 and are unable to conceive any resemblance between the colour we suppose to be in objects1 and that of which we are conscious in sensation1 yet because we do not observe this1 or because there are in objects several properties1 as size1 figure1 number1 etc41 which1 as we clearly know1 exist1 or may exist in them as they are perceived by our senses or conceived by our understanding1 we easily glide into the error of holding that what is called colour in objects is something entirely resembling the colour we perceive1 and thereafter of supposing that we have a clear perception of what is in no way perceived by us4 ,,lxxi4 ,that the chief cause of our errors is to be found in the prejudices of our childhood4 ,and here we may notice the first and chief cause of our errors4 ,in early life the mind was so closely bound to the body that it attended to nothing beyond the thoughts by which it perceived the objects that made impression on the body2 nor as yet did it refer these thoughts to anything existing beyond itself1 but simply felt pain when the body was hurt1 or pleasure when anything beneficial to the body occurred1 or if the body was so highly affected that it was neither greatly benefited nor hurt1 the mind experienced the sensations we call tastes1 smells1 sounds1 heat1 cold1 light1 colours1 and the like1 which in truth are representative of nothing existing out of our mind1 and which vary according to the diversities of the parts and modes in which the body is affected4 ,footnote3 which vary according to the diversities of the movements that pass from all parts of our body to the part of the brain to which it 7the mind7 is closely joined and united4--,,french4 ,the mind at the same time also perceived magnitudes1 figures1 motions1 and the like1 which were not presented to it as sensations but as things or the modes of things existing1 or at least capable of existing out of thought1 although it did not yet observe this difference between these two kinds of perceptions4 ,and afterwards when the machine of the body1 which has been so fabricated by nature that it can of its own inherent power move itself in various ways1 by turning itself at random on every side1 followed after what was useful and avoided what was detrimental2 the mind1 which was closely connected with it1 reflecting on the objects it pursued or avoided1 remarked1 for the first time1 that they existed out of itself1 and not only attributed to them magnitudes1 figures1 motions1 and the like1 which it apprehended either as things or as the modes of things1 but1 in addition1 attributed to them tastes1 odours1 and the other ideas of that sort1 the sensations of which were caused by itself2 ,footnote3 which it perceived on occasion of them 7i4e41 of external objects74--,,french4 and as it only considered other objects in so far as they were useful to the body1 in which it was immersed1 it judged that there was greater or less reality in each object1 according as the impressions it caused on the body were more or less powerful4 ,hence arose the belief that there was more substance or body in rocks and metals than in air or water1 because the mind perceived in them more hardness and weight4 ,moreover1 the air was thought to be merely nothing so long as we experienced no agitation of it by the wind1 or did not feel it hot or cold4 ,and because the stars gave hardly more light than the slender flames of candles1 we supposed that each star was but of this size4 ,again1 since the mind did not observe that the earth moved on its axis1 or that its superficies was curved like that of a globe1 it was on that account more ready to judge the earth immovable and its surface flat4 ,and our mind has been imbued from our infancy with a thousand other prejudices of the same sort which afterwards in our youth we forgot we had accepted without sufficient examination1 and admitted as possessed of the highest truth and clearness1 as if they had been known by means of our senses1 or implanted in us by nature4 ,,lxxii4 ,that the second cause of our errors is that we cannot forget these prejudices4 ,and although now in our mature years1 when the mind1 being no longer wholly subject to the body1 is not in the habit of referring all things to it1 but also seeks to discover the truth of things considered in themselves1 we observe the falsehood of a great many of the judgments we had before formed2 yet we experience a difficulty in expunging them from our memory1 and1 so long as they remain there1 they give rise to various errors4 ,thus1 for example1 since from our earliest years we imagined the stars to be of very small size1 we find it highly difficult to rid ourselves of this imagination1 although assured by plain astronomical reasons that they are of the greatest1--so prevailing is the power of preconceived opinion4 ,,lxxiii4 ,the third cause is1 that we become fatigued by attending to those objects which are not present to the senses2 and that we are thus accustomed to judge of these not from present perception but from pre-conceived opinion4 ,besides1 our mind cannot attend to any object without at length experiencing some pain and fatigue2 and of all objects it has the greatest difficulty in attending to those which are present neither to the senses nor to the imagination3 whether for the reason that this is natural to it from its union with the body1 or because in our early years1 being occupied merely with perceptions and imaginations1 it has become more familiar with1 and acquired greater facility in thinking in those modes than in any other4 ,hence it also happens that many are unable to conceive any substance except what is imaginable and corporeal1 and even sensible4 ,for they are ignorant of the circumstance1 that those objects alone are imaginable which consist in extension1 motion1 and figure1 while there are many others besides these that are intelligible2 and they persuade themselves that nothing can subsist but body1 and1 finally1 that there is no body which is not sensible4 ,and since in truth we perceive no object such as it is by sense alone but only by our reason exercised upon sensible objects1 as will hereafter be clearly shown1 it thus happens that the majority during life perceive nothing unless in a confused way4 ,,lxxiv4 ,the fourth source of our errors is1 that we attach our thoughts to words which do not express them with accuracy4 ,finally1 since for the use of speech we attach all our conceptions to words by which to express them1 and commit to memory our thoughts in connection with these terms1 and as we afterwards find it more easy to recall the words than the things signified by them1 we can scarcely conceive anything with such distinctness as to separate entirely what we conceive from the words that were selected to express it4 ,on this account the majority attend to words rather than to things2 and thus very frequently assent to terms without attaching to them any meaning1 either because they think they once understood them1 or imagine they received them from others by whom they were correctly understood4 ,this1 however1 is not the place to treat of this matter in detail1 seeing the nature of the human body has not yet been expounded1 nor the existence even of body established2 enough1 nevertheless1 appears to have been said to enable one to distinguish such of our conceptions as are clear and distinct from those that are obscure and confused4 ,,lxxv4 ,summary of what must be observed in order to philosophize correctly4 ,wherefore if we would philosophize in earnest1 and give ourselves to the search after all the truths we are capable of knowing1 we must1 in the first place1 lay aside our prejudices2 in other words1 we must take care scrupulously to withhold our assent from the opinions we have formerly admitted1 until upon new examination we discover that they are true4 ,we must1 in the next place1 make an orderly review of the notions we have in our minds1 and hold as true all and only those which we will clearly and distinctly apprehend4 ,in this way we will observe1 first of all1 that we exist in so far as it is our nature to think1 and at the same time that there is a ,god upon whom we depend2 and after considering his attributes we will be able to investigate the truth of all other things1 since ,god is the cause of them4 ,besides the notions we have of ,god and of our mind1 we will likewise find that we possess the knowledge of many propositions which are eternally true1 as1 for example1 that nothing cannot be the cause of anything1 etc4 ,we will farther discover in our minds the knowledge of a corporeal or extended nature that may be moved1 divided1 etc41 and also of certain sensations that affect us1 as of pain1 colours1 tastes1 etc41 although we do not yet know the cause of our being so affected2 and1 comparing what we have now learne'd1 by examining those things in their order1 with our former confused knowledge of them1 we will acquire the habit of forming clear and distinct conceptions of all the objects we are capable of knowing4 ,in these few precepts seem to me to be comprised the most general and important principles of human knowledge4 ,,lxxvi4 ,that we ought to prefer the ,divine authority to our perception2 ,footnote3 reasonings4--,,french4 but that1 apart from things revealed1 we ought to assent to nothing that we do not clearly apprehend4 ,above all1 we must impress on our memory the infallible rule1 that what ,god has revealed is incomparably more certain than anything else2 and that1 we ought to submit our belief to the ,divine authority rather than to our own judgment1 even although perhaps the light of reason should1 with the greatest clearness and evidence1 appear to suggest to us something contrary to what is revealed4 ,but in things regarding which there is no revelation1 it is by no means consistent with the character of a philosopher to accept as true what he has not ascertained to be such1 and to trust more to the senses1 in other words1 to the inconsiderate judgments of childhood than to the dictates of mature reason4 ,,part ,,ii4 ,,of ,,the ,,principles ,,of ,,material ,,things4 ,i4 ,the grounds on which the existence of material things may be known with certainty4 ,although we are all sufficiently persuaded of the existence of material things1 yet1 since this was before called in question by us1 and since we reckoned the persuasion of their existence as among the prejudices of our childhood1 it is now necessary for us to investigate the grounds on which this truth may be known with certainty4 ,in the first place1 then1 it cannot be doubted that every perception we have comes to us from some object different from our mind2 for it is not in our power to cause ourselves to experience one perception rather than another1 the perception being entirely dependent on the object which affects our senses4 ,it may1 indeed1 be matter of inquiry whether that object be ,god1 or something different from ,god2 but because we perceive1 or rather1 stimulated by sense1 clearly and distinctly apprehend1 certain matter extended in length1 breadth1 and thickness1 the various parts of which have different figures and motions1 and give rise to the sensation we have of colours1 smells1 pain1 etc41 ,god would1 without question1 deserve to be regarded as a deceiver1 if he directly and of himself presented to our mind the idea of this extended matter1 or merely caused it to be presented to us by some object which possessed neither extension1 figure1 nor motion4 ,for we clearly conceive this matter as entirely distinct from ,god1 and from ourselves1 or our mind2 and appear even clearly to discern that the idea of it is formed in us on occasion of objects existing out of our minds1 to which it is in every respect similar4 ,but since ,god cannot deceive us1 for this is repugnant to his nature1 as has been already remarked1 we must unhesitatingly conclude that there exists a certain object extended in length1 breadth1 and thickness1 and possessing all those properties which we clearly apprehend to belong to what is extended4 ,and this extended substance is what we call body or matter4 ,,ii4 ,how we likewise know that the human body is closely connected with the mind4 ,we ought also to conclude that a certain body is more closely united to our mind than any other1 because we clearly observe that pain and other sensations affect us without our foreseeing them2 and these1 the mind is conscious1 do not arise from itself alone1 nor pertain to it1 in so far as it is a thing which thinks1 but only in so far as it is united to another thing extended and movable1 which is called the human body4 ,but this is not the place to treat in detail of this matter4 ,,iii4 ,that the perceptions of the senses do not teach us what is in reality in things1 but what is beneficial of hurtful to the composite whole of mind and body4 ,it will be sufficient to remark that the perceptions of the senses are merely to be referred to this intimate union of the human body and mind1 and that they usually make us aware of what1 in external objects1 may be useful or adverse to this union1 but do not present to us these objects as they are in themselves1 unless occasionally and by accident4 ,for1 after this observation1 we will without difficulty lay aside the prejudices of the senses1 and will have recourse to our understanding alone on this question by reflecting carefully on the ideas implanted in it by nature4 ,,iv4 ,that the nature of body consists not in weight hardness1 colour and the like1 but in extension alone4 ,in this way we will discern that the nature of matter or body1 considered in general1 does not consist in its being hard1 or ponderous1 or coloured1 or that which affects our senses in any other way1 but simply in its being a substance extended in length1 breadth1 and depth4 ,for with respect to hardness1 we know nothing of it by sense farther than that the parts of hard bodies resist the motion of our hands on coming into contact with them2 but if every time our hands moved towards any part1 all the bodies in that place receded as quickly as our hands approached1 we should never feel hardness2 and yet we have no reason to believe that bodies which might thus recede would on this account lose that which makes them bodies4 ,the nature of body does not1 therefore1 consist in hardness4 ,in the same way1 it may be shown that weight1 colour1 and all the other qualities of this sort1 which are perceived in corporeal matter1 may be taken from it1 itself meanwhile remaining entire3 it thus follows that the nature of body depends on none of these4 ,v4 ,that the truth regarding the nature of body is obscured by the opinions respecting rarefaction and a vacuum with which we are pre- occupied4 ,there still remain two causes to prevent its being fully admitted that the true nature of body consists in extension alone4 ,the first is the prevalent opinion1 that most bodies admit of being so rarefied and condensed that1 when rarefied1 they have greater extension than when condensed2 and some even have subtilized to such a degree as to make a distinction between the substance of body and its quantity1 and between quantity itself and extension4 ,the second cause is this1 that where we conceive only extension in length1 breadth1 and depth1 we are not in the habit of saying that body is there1 but only space and further void space1 which the generality believe to be a mere negation4 ,,vi4 ,in what way rarefaction takes place4 ,but with regard to rarefaction and condensation1 whoever gives his attention to his own thoughts1 and admits nothing of which he is not clearly conscious1 will not suppose that there is anything in those processes further than a change of figure in the body rarefied or condensed3 so that1 in other words1 rare bodies are those between the parts of which there are numerous distances filled with other bodies2 and dense bodies1 on the other hand1 those whose parts approaching each other1 either diminish these distances or take them wholly away1 in the latter of which cases the body is rendered absolutely dense4 ,the body1 however1 when condensed1 has not1 therefore1 less extension than when the parts embrace a greater space1 owing to their removal from each other1 and their dispersion into branches4 ,for we ought not to attribute to it the extension of the pores or distances which its parts do not occupy when it is rarefied1 but to the other bodies that fill these interstices2 just as when we see a sponge full of water or any other liquid1 we do not suppose that each part of the sponge has on this account greater extension than when compressed and dry1 but only that its pores are wider1 and therefore that the body is diffused over a larger space4 ,,vii4 ,that rarefaction cannot be intelligibly explained unless in the way here proposed4 ,and indeed ,i am unable to discover the force of the reasons which have induced some to say that rarefaction is the result of the augmentation of the quantity of body1 rather than to explain it on the principle exemplified in the case of a sponge4 ,for although when air or water is rarefied we do not see any of the pores that are rendered large1 or the new body that is added to occupy them1 it is yet less agreeable to reason to suppose something that is unintelligible for the purpose of giving a verbal and merely apparent explanation of the rarefaction of bodies1 than to conclude1 because of their rarefaction1 that there are pores or distances between the parts which are increased in size1 and filled with some new body4 ,nor ought we to refrain from assenting to this explanation1 because we perceive this new body by none of our senses1 for there is no reason which obliges us to believe that we should perceive by our senses all the bodies in existence4 ,and we see that it is very easy to explain rarefaction in this manner1 but impossible in any other2 for1 in fine1 there would be1 as appears to me1 a manifest contradiction in supposing that any body was increased by a quantity or extension which it had not before1 without the addition to it of a new extended substance1 in other words1 of another body1 because it is impossible to conceive any addition of extension or quantity to a thing without supposing the addition of a substance having quantity or extension1 as will more clearly appear from what follows4 ,,viii4 ,that quantity and number differ only in thought 7,,ratione7 from that which has quantity and is numbered4 ,for quantity differs from extended substance1 and number from what is numbered1 not in reality but merely in our thought2 so that1 for example1 we may consider the whole nature of a corporeal substance which is comprised in a space of ten feet1 although we do not attend to this measure of ten feet1 for the obvious reason that the thing conceived is of the same nature in any part of that space as in the whole2 and1 on the other hand1 we can conceive the number ten1 as also a continuous quantity of ten feet1 without thinking of this determinate substance1 because the concept of the number ten is manifestly the same whether we consider a number of ten feet or ten of anything else2 and we can conceive a continuous quantity of ten feet without thinking of this or that determinate substance1 although we cannot conceive it without some extended substance of which it is the quantity4 ,it is in reality1 however1 impossible that any1 even the least part1 of such quantity or extension1 can be taken away1 without the retrenchment at the same time of as much of the substance1 nor1 on the other hand1 can we lessen the substance1 without at the same time taking as much from the quantity or extension4 ,,ix4 ,that corporeal substance1 when distinguished from its quantity1 is confusedly conceived as something incorporeal4 ,although perhaps some express themselves otherwise on this matter1 ,i am nevertheless convinced that they do not think differently from what ,i have now said3 for when they distinguish 7corporeal7 substance from extension or quantity1 they either mean nothing by the word 7corporeal7 substance1 or they form in their minds merely a confused idea of incorporeal substance1 which they falsely attribute to corporeal1 and leave to extension the true idea of this corporeal substance2 which extension they call an accident1 but with such impropriety as to make it easy to discover that their words are not in harmony with their thoughts4 ,x4 ,what space or internal place is4 ,space or internal place1 and the corporeal substance which is comprised in it1 are not different in reality1 but merely in the mode in which they are wont to be conceived by us4 ,for1 in truth1 the same extension in length1 breadth1 and depth1 which constitutes space1 constitutes body2 and the difference between them lies only in this1 that in body we consider extension as particular1 and conceive it to change with the body2 whereas in space we attribute to extension a generic unity1 so that after taking from a certain space the body which occupied it1 we do not suppose that we have at the same time removed the extension of the space1 because it appears to us that the same extension remains there so long as it is of the same magnitude and figure1 and preserves the same situation in respect to certain bodies around it1 by means of which we determine this space4 ,,xi4 ,how space is not in reality different from corporeal substance4 ,and indeed it will be easy to discern that it is the same extension which constitutes the nature of body as of space1 and that these two things are mutually diverse only as the nature of the genus and species differs from that of the individual1 provided we reflect on the idea we have of any body1 taking a stone for example1 and reject all that is not essential to the nature of body4 ,in the first place1 then1 hardness may be rejected1 because if the stone were liquefied or reduced to powder1 it would no longer possess hardness1 and yet would not cease to be a body2 colour also may be thrown out of account1 because we have frequently seen stones so transparent as to have no colour2 again1 we may reject weight1 because we have the case of fire1 which1 though very light1 is still a body2 and1 finally1 we may reject cold1 heat1 and all the other qualities of this sort1 either because they are not considered as in the stone1 or because1 with the change of these qualities1 the stone is not supposed to have lost the nature of body4 ,after this examination we will find that nothing remains in the idea of body1 except that it is something extended in length1 breadth1 and depth2 and this something is comprised in our idea of space1 not only of that which is full of body1 but even of what is called void space4 ,,xii4 ,how space differs from body in our mode of conceiving it4 ,there is1 however1 some difference between them in the mode of conception2 for if we remove a stone from the space or place in which it was1 we conceive that its extension also is taken away1 because we regard this as particular1 and inseparable from the stone itself3 but meanwhile we suppose that the same extension of place in which this stone was remains1 although the place of the stone be occupied by wood1 water1 air1 or by any other body1 or be even supposed vacant1 because we now consider extension in general1 and think that the same is common to stones1 wood1 water1 air1 and other bodies1 and even to a vacuum itself1 if there is any such thing1 provided it be of the same magnitude and figure as before1 and preserve the same situation among the external bodies which determine this space4 ,,xiii4 ,what external place is4 ,the reason of which is1 that the words place and space signify nothing really different from body which is said to be in place1 but merely designate its magnitude1 figure1 and situation among other bodies4 ,for it is necessary1 in order to determine this situation1 to regard certain other bodies which we consider as immovable2 and1 according as we look to different bodies1 we may see that the same thing at the same time does and does not change place4 ,for example1 when a vessel is being carried out to sea1 a person sitting at the stern may be said to remain always in one place1 if we look to the parts of the vessel1 since with respect to these he preserves the same situation2 and on the other hand1 if regard be had to the neighbouring shores1 the same person will seem to be perpetually changing place1 seeing he is constantly receding from one shore and approaching another4 ,and besides1 if we suppose that the earth moves1 and that it makes precisely as much way from west to east as the vessel from east to west1 we will again say that the person at the stern does not change his place1 because this place will be determined by certain immovable points which we imagine to be in the heavens4 ,but if at length we are persuaded that there are no points really immovable in the universe1 as will hereafter be shown to be probable1 we will thence conclude that nothing has a permanent place unless in so far as it is fixed by our thought4 ,,xiv4 ,wherein place and space differ4 ,the terms place and space1 however1 differ in signification1 because place more expressly designates situation than magnitude or figure1 while1 on the other hand1 we think of the latter when we speak of space4 ,for we frequently say that a thing succeeds to the place of another1 although it be not exactly of the same magnitude or figure2 but we do not therefore admit that it occupies the same space as the other2 and when the situation is changed we say that the place also is changed1 although there are the same magnitude and figure as before3 so that when we say that a thing is in a particular place1 we mean merely that it is situated in a determinate way in respect of certain other objects2 and when we add that it occupies such a space or place1 we understand besides that it is of such determinate magnitude and figure as exactly to fill this space4 ,,xv4 ,how external place is rightly taken for the superficies of the surrounding body4 ,and thus we never indeed distinguish space from extension in length1 breadth1 and depth2 we sometimes1 however1 consider place as in the thing placed1 and at other times as out of it4 ,internal place indeed differs in no way from space2 but external place may be taken for the superficies that immediately surrounds the thing placed4 ,it ought to be remarked that by superficies we do not here understand any part of the surrounding body1 but only the boundary between the surrounding and surrounded bodies1 which is nothing more than a mode2 or at least that we speak of superficies in general which is no part of one body rather than another1 but is always considered the same1 provided it retain the same magnitude and figure4 ,for although the whole surrounding body with its superficies were changed1 it would not be supposed that the body which was surrounded by it had therefore changed its place1 if it meanwhile preserved the same situation with respect to the other bodies that are regarded as immovable4 ,thus1 if we suppose that a boat is carried in one direction by the current of a stream1 and impelled by the wind in the opposite with an equal force1 so that its situation with respect to the banks is not changed1 we will readily admit that it remains in the same place1 although the whole superficies which surrounds it is incessantly changing4 ,,xvi4 ,that a vacuum or space in which there is absolutely no body is repugnant to reason4 ,with regard to a vacuum1 in the philosophical sense of the term1 that is1 a space in which there is no substance1 it is evident that such does not exist1 seeing the extension of space or internal place is not different from that of body4 ,for since from this alone1 that a body has extension in length1 breadth1 and depth1 we have reason to conclude that it is a substance1 it being absolutely contradictory that nothing should possess extension1 we ought to form a similar inference regarding the space which is supposed void1 viz41 that since there is extension in it there is necessarily also substance4 ,,xvii4 ,that a vacuum in the ordinary use of the term does not exclude all body4 ,and1 in truth1 by the term vacuum in its common use1 we do not mean a place or space in which there is absolutely nothing1 but only a place in which there is none of those things we presume ought to be there4 ,thus1 because a pitcher is made to hold water1 it is said to be empty when it is merely filled with air2 or if there are no fish in a fish-pond1 we say there is nothing in it1 although it be full of water2 thus a vessel is said to be empty1 when1 in place of the merchandise which it was designed to carry1 it is loaded with sand only1 to enable it to resist the violence of the wind2 and1 finally1 it is in the same sense that we say space is void when it contains nothing sensible1 although it contain created and self-subsisting matter2 for we are not in the habit of considering the bodies near us1 unless in so far as they cause in our organs of sense1 impressions strong enough to enable us to perceive them4 ,and if1 in place of keeping in mind what ought to be understood by these terms a vacuum and nothing1 we afterwards suppose that in the space we called a vacuum1 there is not only no sensible object1 but no object at all1 we will fall into the same error as if1 because a pitcher in which there is nothing but air1 is1 in common speech1 said to be empty1 we were therefore to judge that the air contained in it is not a substance 7,,res ,,subsistens74 ,,xviii4 ,how the prejudice of an absolute vacuum is to be corrected4 ,we have almost all fallen into this error from the earliest age1 for1 observing that there is no necessary connection between a vessel and the body it contains1 we thought that ,god at least could take from a vessel the body which occupied it1 without it being necessary that any other should be put in the place of the one removed4 ,but that we may be able now to correct this false opinion1 it is necessary to remark that there is in truth no connection between the vessel and the particular body which it contains1 but that there is an absolutely necessary connection between the concave figure of the vessel and the extension considered generally which must be comprised in this cavity2 so that it is not more contradictory to conceive a mountain without a valley than such a cavity without the extension it contains1 or this extension apart from an extended substance1 for1 as we have often said1 of nothing there can be no extension4 ,and accordingly1 if it be asked what would happen were ,god to remove from a vessel all the body contained in it1 without permitting another body to occupy its place1 the answer must be that the sides of the vessel would thus come into proximity with each other4 ,for two bodies must touch each other when there is nothing between them1 and it is manifestly contradictory for two bodies to be apart1 in other words1 that there should be a distance between them1 and this distance yet be nothing2 for all distance is a mode of extension1 and cannot therefore exist without an extended substance4 ,,xix4 ,that this confirms what was said of rarefaction4 ,after we have thus remarked that the nature of corporeal substance consists only in its being an extended thing1 and that its extension is not different from that which we attribute to space1 however empty1 it is easy to discover the impossibility of any one of its parts in any way whatsoever occupying more space at one time than at another1 and thus of being otherwise rarefied than in the way explained above2 and it is easy to perceive also that there cannot be more matter or body in a vessel when it is filled with lead or gold1 or any other body however heavy and hard1 than when it but contains air and is supposed to be empty3 for the quantity of the parts of which a body is composed does not depend on their weight or hardness1 but only on the extension1 which is always equal in the same vase4 ,,xx4 ,that from this the non-existence of atoms may likewise be demonstrated4 ,we likewise discover that there cannot exist any atoms or parts of matter that are of their own nature indivisible4 ,for however small we suppose these parts to be1 yet because they are necessarily extended1 we are always able in thought to divide any one of them into two or more smaller parts1 and may accordingly admit their divisibility4 ,for there is nothing we can divide in thought which we do not thereby recognize to be divisible2 and1 therefore1 were we to judge it indivisible our judgment would not be in harmony with the knowledge we have of the thing2 and although we should even suppose that ,god had reduced any particle of matter to a smallness so extreme that it did not admit of being further divided1 it would nevertheless be improperly styled indivisible1 for though ,god had rendered the particle so small that it was not in the power of any creature to divide it1 he could not however deprive himself of the ability to do so1 since it is absolutely impossible for him to lessen his own omnipotence1 as was before observed4 ,wherefore1 absolutely speaking1 the smallest extended particle is always divisible1 since it is such of its very nature4 ,,xxi4 ,it is thus also demonstrated that the extension of the world is indefinite4 ,we further discover that this world or the whole 7universitas7 of corporeal substance1 is extended without limit1 for wherever we fix a limit1 we still not only imagine beyond it spaces indefinitely extended1 but perceive these to be truly imaginable1 in other words1 to be in reality such as we imagine them2 so that they contain in them corporeal substance indefinitely extended1 for1 as has been already shown at length1 the idea of extension which we conceive in any space whatever is plainly identical with the idea of corporeal substance4 ,,xxii4 ,it also follows that the matter of the heavens and earth is the same1 and that there cannot be a plurality of worlds4 ,and it may also be easily inferred from all this that the earth and heavens are made of the same matter2 and that even although there were an infinity of worlds1 they would all be composed of this matter2 from which it follows that a plurality of worlds is impossible1 because we clearly conceive that the matter whose nature consists only in its being an extended substance1 already wholly occupies all the imaginable spaces where these other worlds could alone be1 and we cannot find in ourselves the idea of any other matter4 ,,xxiii4 ,that all the variety of matter1 or the diversity of its forms1 depends on motion4 ,there is therefore but one kind of matter in the whole universe1 and this we know only by its being extended4 ,all the properties we distinctly perceive to belong to it are reducible to its capacity of being divided and moved according to its parts2 and accordingly it is capable of all those affections which we perceive can arise from the motion of its parts4 ,for the partition of matter in thought makes no change in it2 but all variation of it1 or diversity of form1 depends on motion4 ,the philosophers even seem universally to have observed this1 for they said that nature was the principle of motion and rest1 and by nature they understood that by which all corporeal things become such as they are found in experience4 ,,xxiv4 ,what motion is1 taking the term in its common use4 ,but motion 7viz41 local1 for ,i can conceive no other kind of motion1 and therefore ,i do not think we ought to suppose there is any other in nature71 in the ordinary sense of the term1 is nothing more than the action by which a body passes from one place to another4 ,and just as we have remarked above that the same thing may be said to change and not to change place at the same time1 so also we may say that the same thing is at the same time moved and not moved4 ,thus1 for example1 a person seated in a vessel which is setting sail1 thinks he is in motion if he look to the shore that he has left1 and consider it as fixed2 but not if he regard the ship itself1 among the parts of which he preserves always the same situation4 ,moreover1 because we are accustomed to suppose that there is no motion without action1 and that in rest there is the cessation of action1 the person thus seated is more properly said to be at rest than in motion1 seeing he is not conscious of being in action4 ,,xxv4 ,what motion is properly so called4 ,but if1 instead of occupying ourselves with that which has no foundation1 unless in ordinary usage1 we desire to know what ought to be understood by motion according to the truth of the thing1 we may say1 in order to give it a determinate nature1 that it is ,,the ,,transporting ,,of ,,one ,,part ,,of ,,matter ,,or ,,of ,,one ,,body ,,from ,,the ,,vicinity ,,of ,,those ,,bodies ,,that ,,are ,,in ,,immediate ,,contact ,,with ,,it1 ,,or ,,which ,,we ,,regard ,,as ,,at ,,rest1 to the vicinity of other bodies4 ,by a body as a part of matter1 ,i understand all that which is transferred together1 although it be perhaps composed of several parts1 which in themselves have other motions2 and ,i say that it is the transporting and not the force or action which transports1 with the view of showing that motion is always in the movable thing1 not in that which moves2 for it seems to me that we are not accustomed to distinguish these two things with sufficient accuracy4 ,farther1 ,i understand that it is a mode of the movable thing1 and not a substance1 just as figure is a property of the thing figured1 and repose of that which is at rest4 ,,part ,,iii4 ,,of ,,the ,,visible ,,world4 ,i4 ,that we cannot think too highly of the works of ,god4 ,having now ascertained certain principles of material things1 which were sought1 not by the prejudices of the senses1 but by the light of reason1 and which thus possess so great evidence that we cannot doubt of their truth1 it remains for us to consider whether from these alone we can deduce the explication of all the phenomena of nature4 ,we will commence with those phenomena that are of the greatest generality1 and upon which the others depend1 as1 for example1 with the general structure of this whole visible world4 ,but in order to our philosophizing aright regarding this1 two things are first of all to be observed4 ,the first is1 that we should ever bear in mind the infinity of the power and goodness of ,god1 that we may not fear falling into error by imagining his works to be too great1 beautiful1 and perfect1 but that we may1 on the contrary1 take care lest1 by supposing limits to them of which we have no certain knowledge1 we appear to think less highly than we ought of the power of ,god4 ,,ii4 ,that we ought to beware lest1 in our presumption1 we imagine that the ends which ,god proposed to himself in the creation of the world are understood by us4 ,the second is1 that we should beware of presuming too highly of ourselves1 as it seems we should do if we supposed certain limits to the world1 without being assured of their existence either by natural reasons or by divine revelation1 as if the power of our thought extended beyond what ,god has in reality made2 but likewise still more if we persuaded ourselves that all things were created by ,god for us only1 or if we merely supposed that we could comprehend by the power of our intellect the ends which ,god proposed to himself in creating the universe4 ,,iii4 ,in what sense it may be said that all things were created for the sake of man4 ,for although1 as far as regards morals1 it may be a pious thought to believe that ,god made all things for us1 seeing we may thus be incited to greater gratitude and love toward him2 and although it is even in some sense true1 because there is no created thing of which we cannot make some use1 if it be only that of exercising our mind in considering it1 and honouring ,god on account of it1 it is yet by no means probable that all things were created for us in this way that ,god had no other end in their creation2 and this supposition would be plainly ridiculous and inept in physical reasoning1 for we do not doubt but that many things exist1 or formerly existed and have now ceased to be1 which were never seen or known by man1 and were never of use to him4 ,,part ,,iv4 ,,of ,,the ,,earth4 ,,clxxxviii4 ,of what is to be borrowed from disquisitions on animals and man to advance the knowledge of material objects4 ,i should add nothing farther to this the ,fourth ,part of the ,principles of ,philosophy1 did ,i purpose carrying out my original design of writing a ,fifth and ,sixth ,part1 the one treating of things possessed of life1 that is1 animals and plants1 and the other of man4 ,but because ,i have not yet acquired sufficient knowledge of all the matters of which ,i should desire to treat in these two last parts1 and do not know whether ,i shall ever have sufficient leisure to finish them1 ,i will here subjoin a few things regarding the objects of our senses1 that ,i may not1 for the sake of the latter1 delay too long the publication of the former parts1 or of what may be desiderated in them1 which ,i might have reserved for explanation in those others3 for ,i have hitherto described this earth1 and generally the whole visible world1 as if it were merely a machine in which there was nothing at all to consider except the figures and motions of its parts1 whereas our senses present to us many other things1 for example colours1 smells1 sounds1 and the like1 of which1 if ,i did not speak at all1 it would be thought ,i had omitted the explication of the majority of the objects that are in nature4 ,,clxxxix4 ,what perception 7,,sensus7 is1 and how we perceive4 ,we must know1 therefore1 that although the human soul is united to the whole body1 it has1 nevertheless1 its principal seat in the brain1 where alone it not only understands and imagines1 but also perceives2 and this by the medium of the nerves1 which are extended like threads from the brain to all the other members1 with which they are so connected that we can hardly touch any one of them without moving the extremities of some of the nerves spread over it2 and this motion passes to the other extremities of those nerves which are collected in the brain round the seat of the soul1 ,footnote3 999999 ,,footnote ,,not ,,visible ,,in ,,page ,,image 7#ih1 ,text p #aie7 as ,i have already explained with sufficient minuteness in the fourth chapter of the ,dioptrics4 ,but the movements which are thus excited in the brain by the nerves variously affect the soul or mind1 which is intimately conjoined with the brain1 according to the diversity of the motions themselves4 ,and the diverse affections of the mind or thoughts that immediately arise from these motions1 are called perceptions of the senses 7,,sensuum ,,perceptiones71 or1 as we commonly speak1 sensations 7,,sensus74 ,,cxc4 ,of the distinction of the senses2 and1 first1 of the internal1 that is1 of the affections of the mind 7passions71 and the natural appetites4 ,the varieties of these sensations depend1 firstly1 on the diversity of the nerves themselves1 and1 secondly1 of the movements that are made in each nerve4 ,we have not1 however1 as many different senses as there are nerves4 ,we can distinguish but seven principal classes of nerves1 of which two belong to the internal1 and the other five to the external senses4 ,the nerves which extend to the stomach1 the oesophagus1 the fauces1 and the other internal parts that are subservient to our natural wants1 constitute one of our internal senses4 ,this is called the natural appetite 7,,appetitus ,,naturalis74 ,the other internal sense1 which embraces all the emotions 7,,commotiones7 of the mind or passions1 and affections1 as joy1 sadness1 love1 hate1 and the like1 depends upon the nerves which extend to the heart and the parts about the heart1 and are exceedingly small2 for1 by way of example1 when the blood happens to be pure and well tempered1 so that it dilates in the heart more readily and strongly than usual1 this so enlarges and moves the small nerves scattered around the orifices1 that there is thence a corresponding movement in the brain1 which affects the mind with a certain natural feeling of joy2 and as often as these same nerves are moved in the same way1 although this is by other causes1 they excite in our mind the same feeling 7sensus1 sentiment74 ,thus1 the imagination of the enjoyment of a good does not contain in itself the feeling of joy1 but it causes the animal spirits to pass from the brain to the muscles in which these nerves are inserted2 and thus dilating the orifices of the heart1 it also causes these small nerves to move in the way appointed by nature to afford the sensation of joy4 ,thus1 when we receive news1 the mind first of all judges of it1 and if the news be good1 it rejoices with that intellectual joy 7,,gaudium ,,intellectuale7 which is independent of any emotion 7,,commotio7 of the body1 and which the ,stoics did not deny to their wise man although they supposed him exempt from all passion4 ,but as soon as this joy passes from the understanding to the imagination1 the spirits flow from the brain to the muscles that are about the heart1 and there excite the motion of the small nerves1 by means of which another motion is caused in the brain1 which affects the mind with the sensation of animal joy 7,,laetitia ,,animalis74 ,on the same principle1 when the blood is so thick that it flows but sparingly into the ventricles of the heart1 and is not there sufficiently dilated1 it excites in the same nerves a motion quite different from the preceding1 which1 communicated to the brain1 gives to the mind the sensation of sadness1 although the mind itself is perhaps ignorant of the cause of its sadness4 ,and all the other causes which move these nerves in the same way may also give to the mind the same sensation4 ,but the other movements of the same nerves produce other effects1 as the feelings of love1 hate1 fear1 anger1 etc41 as far as they are merely affections or passions of the mind2 in other words1 as far as they are confused thoughts which the mind has not from itself alone1 but from its being closely joined to the body1 from which it receives impressions2 for there is the widest difference between these passions and the distinct thoughts which we have of what ought to be loved1 or chosen1 or shunned1 etc41 although these are often enough found together4 ,the natural appetites1 as hunger1 thirst1 and the others1 are likewise sensations excited in the mind by means of the nerves of the stomach1 fauces1 and other parts1 and are entirely different from the will which we have to eat1 drink1 and to do all that which we think proper for the conservation of our body2 but1 because this will or appetition almost always accompanies them1 they are therefore named appetites4 ,,cxci4 ,of the external senses2 and first of touch4 ,we commonly reckon the external senses five in number1 because there are as many different kinds of objects which move the nerves and their organs1 and an equal number of kinds of confused thoughts excited in the soul by these emotions4 ,in the first place1 the nerves terminating in the skin of the whole body can be touched through this medium by any terrene objects whatever1 and moved by these wholes1 in one way by their hardness1 in another by their gravity1 in a third by their heat1 in a fourth by their humidity1 etc4--and in as many diverse modes as they are either moved or hindered from their ordinary motion1 to that extent are diverse sensations excited in the mind1 from which a corresponding number of tactile qualities derive their appellations4 ,besides this1 when these nerves are moved a little more powerfully than usual1 but not nevertheless to the degree by which our body is in any way hurt1 there thus arises a sensation of titillation1 which is naturally agreeable to the mind1 because it testifies to it of the powers of the body with which it is joined1 in that the latter can suffer the action causing this titillation1 without being hurt4 ,but if this action be strong enough to hurt our body in any way1 this gives to our mind the sensation of pain4 ,and we thus see why corporeal pleasure and pain1 although sensations of quite an opposite character1 arise nevertheless from causes nearly alike4 ,,cxcii4 ,of taste4 ,in the second place1 the other nerves scattered over the tongue and the parts in its vicinity are diversely moved by the particles of the same bodies1 separated from each other and floating in the saliva in the mouth1 and thus cause sensations of diverse tastes according to the diversity of figure in these particles4 ,footnote3 ,in the ,french this section begins1 ,taste1 after touch the grossest of the senses1 etc4 ,,cxciii4 ,of smell4 ,thirdly1 two nerves also or appendages of the brain1 for they do not go beyond the limits of the skull1 are moved by the particles of terrestrial bodies1 separated and flying in the air1 not indeed by all particles indifferently1 but by those only that are sufficiently subtle and penetrating to enter the pores of the bone we call the spongy1 when drawn into the nostrils1 and thus to reach the nerves4 ,from the different motions of these particles arise the sensations of the different smells4 ,,cxciv4 ,of hearing4 ,fourthly1 there are two nerves within the ears1 so attached to three small bones that are mutually sustaining1 and the first of which rests on the small membrane that covers the cavity we call the tympanum of the ear1 that all the diverse vibrations which the surrounding air communicates to this membrane are transmitted to the mind by these nerves1 and these vibrations give rise1 according to their diversity1 to the sensations of the different sounds4 ,,cxcv4 ,of sight4 ,finally1 the extremities of the optic nerves1 composing the coat in the eyes called the retina1 are not moved by the air nor by any terrestrial object1 but only by the globules of the second element1 whence we have the sense of light and colours3 as ,i have already at sufficient length explained in the ,dioptrics and treatise of ,meteors4 ,footnote3 ,in the ,french this section begins1 ,finally1 sight is the most subtle of all the senses1 etc4 ,,cxcvi4 ,that the soul perceives only in so far as it is in the brain4 ,it is clearly established1 however1 that the soul does not perceive in so far as it is in each member of the body1 but only in so far as it is in the brain1 where the nerves by their movements convey to it the diverse actions of the external objects that touch the parts of the body in which they are inserted4 ,for1 in the first place1 there are various maladies1 which1 though they affect the brain alone1 yet bring disorder upon1 or deprive us altogether of the use of1 our senses1 just as sleep1 which affects the brain only1 and yet takes from us daily during a great part of our time the faculty of perception1 which afterwards in our waking state is restored to us4 ,the second proof is1 that though there be no disease in the brain1 or in the members in which the organs of the external senses are1 it is nevertheless sufficient to take away sensation from the part of the body where the nerves terminate1 if only the movement of one of the nerves that extend from the brain to these members be obstructed in any part of the distance that is between the two4 ,and the last proof is1 that we sometimes feel pain as if in certain of our members1 the cause of which1 however1 is not in these members where it is felt1 but somewhere nearer the brain1 through which the nerves pass that give to the mind the sensation of it4 ,i could establish this fact by innumerable experiments2 ,i will here1 however1 merely refer to one of them4 ,a girl suffering from a bad ulcer in the hand1 had her eyes bandaged whenever the surgeon came to visit her1 not being able to bear the sight of the dressing of the sore2 and1 the gangrene having spread1 after the expiry of a few days the arm was amputated from the elbow without the girl's knowledge2 linen cloths tied one above the other were substituted in place of the part amputated1 so that she remained for some time without knowing that the operation had been performed1 and meanwhile she complained of feeling various pains1 sometimes in one finger of the hand that was cut off1 and sometimes in another4 ,the only explanation of this is1 that the nerves which before stretched downwards from the brain to the hand1 and then terminated in the arm close to the elbow1 were there moved in the same way as they required to be moved before in the hand for the purpose of impressing on the mind residing in the brain the sensation of pain in this or that finger4 ,and this clearly shows that the pain of the hand is not felt by the mind in so far as it is in the hand1 but in so far as it is in the brain4 ,,cxcvii4 ,that the nature of the mind is such that from the motion alone of body the various sensations can be excited in it4 ,in the next place1 it can be proved that our mind is of such a nature that the motions of the body alone are sufficient to excite in it all sorts of thoughts1 without it being necessary that these should in any way resemble the motions which give rise to them1 and especially that these motions can excite in it those confused thoughts called sensations 7,,sensus1 ,,sensationes74 ,for we see that words1 whether uttered by the voice or merely written1 excite in our minds all kinds of thoughts and emotions4 ,on the same paper1 with the same pen and ink1 by merely moving the point of the pen over the paper in a particular way1 we can trace letters that will raise in the minds of our readers the thoughts of combats1 tempests1 or the furies1 and the passions of indignation and sorrow2 in place of which1 if the pen be moved in another way hardly different from the former1 this slight change will cause thoughts widely different from the above1 such as those of repose1 peace1 pleasantness1 and the quite opposite passions of love and joy4 ,some one will perhaps object that writing and speech do not immediately excite in the mind any passions1 or imaginations of things different from the letters and sounds1 but afford simply the knowledge of these1 on occasion of which the mind1 understanding the signification of the words1 afterwards excites in itself the imaginations and passions that correspond to the words4 ,but what will be said of the sensations of pain and titillation8 ,the motion merely of a sword cutting a part of our skin causes pain1 but does not on that account make us aware of the motion or figure of the sword4 ,and it is certain that this sensation of pain is not less different from the motion that causes it1 or from that of the part of our body which the sword cuts1 than are the sensations we have of colour1 sound1 odour1 or taste4 ,on this ground we may conclude that our mind is of such a nature that the motions alone of certain bodies can also easily excite in it all the other sensations1 as the motion of a sword excites in it the sensation of pain4 ,,cxcviii4 ,that by our senses we know nothing of external objects beyond their figure or situation1 magnitude1 and motion4 ,besides1 we observe no such difference between the nerves as to lead us to judge that one set of them convey to the brain from the organs of the external senses anything different from another1 or that anything at all reaches the brain besides the local motion of the nerves themselves4 ,and we see that local motion alone causes in us not only the sensation of titillation and of pain1 but also of light and sounds4 ,for if we receive a blow on the eye of sufficient force to cause the vibration of the stroke to reach the retina1 we see numerous sparks of fire1 which1 nevertheless1 are not out of our eye2 and when we stop our ear with our finger1 we hear a humming sound1 the cause of which can only proceed from the agitation of the air that is shut up within it4 ,finally1 we frequently observe that heat hardness1 weight1 and the other sensible qualities1 as far as they are in objects1 and also the forms of those bodies that are purely material1 as1 for example1 the forms of fire1 are produced in them by the motion of certain other bodies1 and that these in their turn likewise produce other motions in other bodies4 ,and we can easily conceive how the motion of one body may be caused by that of another1 and diversified by the size1 figure1 and situation of its parts1 but we are wholly unable to conceive how these same things 7viz41 size1 figure1 and motion71 can produce something else of a nature entirely different from themselves1 as1 for example1 those substantial forms and real qualities which many philosophers suppose to be in bodies2 nor likewise can we conceive how these qualities or forms possess force to cause motions in other bodies4 ,but since we know1 from the nature of our soul1 that the diverse motions of body are sufficient to produce in it all the sensations which it has1 and since we learn from experience that several of its sensations are in reality caused by such motions1 while we do not discover that anything besides these motions ever passes from the organs of the external senses to the brain1 we have reason to conclude that we in no way likewise apprehend that in external objects1 which we call light1 colour1 smell1 taste1 sound1 heat or cold1 and the other tactile qualities1 or that which we call their substantial forms1 unless as the various dispositions of these objects which have the power of moving our nerves in various ways4 ,footnote3 the diverse figures1 situations1 magnitudes1 and motions of their parts4-- ,french4 ,,cxcix4 ,that there is no phenomenon of nature whose explanation has been omitted in this treatise4 ,and thus it may be gathered1 from an enumeration that is easily made1 that there is no phenomenon of nature whose explanation has been omitted in this treatise2 for beyond what is perceived by the senses1 there is nothing that can be considered a phenomenon of nature4 ,but leaving out of account motion1 magnitude1 figure1 and the situation of the parts of each body1 which ,i have explained as they exist in body1 we perceive nothing out of us by our senses except light1 colours1 smells1 tastes1 sounds1 and the tactile qualities2 and these ,i have recently shown to be nothing more1 at least so far as they are known to us1 than certain dispositions of the objects1 consisting in magnitude1 figure1 and motion4 ,,cc4 ,that this treatise contains no principles which are not universally received2 and that this philosophy is not new1 but of all others the most ancient and common4 ,but ,i am desirous also that it should be observed that1 though ,i have here endeavoured to give an explanation of the whole nature of material things1 ,i have nevertheless made use of no principle which was not received and approved by ,aristotle1 and by the other philosophers of all ages2 so that this philosophy1 so far from being new1 is of all others the most ancient and common3 for ,i have in truth merely considered the figure1 motion1 and magnitude of bodies1 and examined what must follow from their mutual concourse on the principles of mechanics1 which are confirmed by certain and daily experience4 ,but no one ever doubted that bodies are moved1 and that they are of various sizes and figures1 according to the diversity of which their motions also vary1 and that from mutual collision those somewhat greater than others are divided into many smaller1 and thus change figure4 ,we have experience of the truth of this1 not merely by a single sense1 but by several1 as touch1 sight1 and hearing3 we also distinctly imagine and understand it4 ,this cannot be said of any of the other things that fall under our senses1 as colours1 sounds1 and the like2 for each of these affects but one of our senses1 and merely impresses upon our imagination a confused image of itself1 affording our understanding no distinct knowledge of what it is4 ,,cci4 ,that sensible bodies are composed of insensible particles4 ,but ,i allow many particles in each body that are perceived by none of our senses1 and this will not perhaps be approved of by those who take the senses for the measure of the knowable4 ,we greatly wrong human reason1 however1 as appears to me1 if we suppose that it does not go beyond the eye-sight2 for no one can doubt that there are bodies so small as not to be perceptible by any of our senses1 provided he only consider what is each moment added to those bodies that are being increased little by little1 and what is taken from those that are diminished in the same way4 ,a tree increases daily1 and it is impossible to conceive how it becomes greater than it was before1 unless we at the same time conceive that some body is added to it4 ,but who ever observed by the senses those small bodies that are in one day added to a tree while growing8 ,among the philosophers at least1 those who hold that quantity is indefinitely divisible1 ought to admit that in the division the parts may become so small as to be wholly imperceptible4 ,and indeed it ought not to be a matter of surprise1 that we are unable to perceive very minute bodies2 for the nerves that must be moved by objects to cause perception are not themselves very minute1 but are like small cords1 being composed of a quantity of smaller fibres1 and thus the most minute bodies are not capable of moving them4 ,nor do ,i think that any one who makes use of his reason will deny that we philosophize with much greater truth when we judge of what takes place in those small bodies which are imperceptible from their minuteness only1 after the analogy of what we see occurring in those we do perceive1 and in this way explain all that is in nature1 as ,i have essayed to do in this treatise1 than when we give an explanation of the same things by inventing ,i know not what novelties1 that have no relation to the things we actually perceive1 as first matter1 substantial forms1 and all that grand array of qualities which many are in the habit of supposing1 each of which is more difficult to comprehend than all that is professed to be explained by means of them4 ,,ccii4 ,that the philosophy of ,democritus is not less different from ours than from the common4 ,footnote3 that of ,aristotle or the others4--,french4 ,but it may be said that ,democritus also supposed certain corpuscles that were of various figures1 sizes1 and motions1 from the heaping together and mutual concourse of which all sensible bodies arose2 and1 nevertheless1 his mode of philosophizing is commonly rejected by all4 ,to this ,i reply that the philosophy of ,democritus was never rejected by any one1 because he allowed the existence of bodies smaller than those we perceive1 and attributed to them diverse sizes1 figures1 and motions1 for no one can doubt that there are in reality such1 as we have already shown2 but it was rejected1 in the first place1 because he supposed that these corpuscles were indivisible1 on which ground ,i also reject it2 in the second place1 because he imagined there was a vacuum about them1 which ,i show to be impossible2 thirdly1 because he attributed gravity to these bodies1 of which ,i deny the existence in any body1 in so far as a body is considered by itself1 because it is a quality that depends on the relations of situation and motion which several bodies bear to each other2 and1 finally1 because he has not explained in particular how all things arose from the concourse of corpuscles alone1 or1 if he gave this explanation with regard to a few of them1 his whole reasoning was far from being coherent1 or such as would warrant us in extending the same explanation to the whole of nature4 ,this1 at least1 is the verdict we must give regarding his philosophy1 if we may judge of his opinions from what has been handed down to us in writing4 ,i leave it to others to determine whether the philosophy ,i profess possesses a valid coherency1 and whether on its principles we can make the requisite number of deductions2 and1 inasmuch as the consideration of figure1 magnitude1 and motion has been admitted by ,aristotle and by all the others1 as well as by ,democritus1 and since ,i reject all that the latter has supposed1 with this single exception1 while ,i reject generally all that has been supposed by the others1 it is plain that this mode of philosophizing has no more affinity with that of ,democritus than of any other particular sect4 ,,cciii4 ,how we may arrive at the knowledge of the figures1 magnitudes1 and motions of the insensible particles of bodies4 ,but1 since ,i assign determinate figures1 magnitudes1 and motions to the insensible particles of bodies1 as if ,i had seen them1 whereas ,i admit that they do not fall under the senses1 some one will perhaps demand how ,i have come by my knowledge of them4 ,to this ,i reply1 that ,i first considered in general all the clear and distinct notions of material things that are to be found in our understanding1 and that1 finding no others except those of figures1 magnitudes1 and motions1 and of the rules according to which these three things can be diversified by each other1 which rules are the principles of geometry and mechanics1 ,i judged that all the knowledge man can have of nature must of necessity be drawn from this source2 because all the other notions we have of sensible things1 as confused and obscure1 can be of no avail in affording us the knowledge of anything out of ourselves1 but must serve rather to impede it4 ,thereupon1 taking as my ground of inference the simplest and best known of the principles that have been implanted in our minds by nature1 ,i considered the chief differences that could possibly subsist between the magnitudes1 and figures1 and situations of bodies insensible on account of their smallness alone1 and what sensible effects could be produced by their various modes of coming into contact2 and afterwards1 when ,i found like effects in the bodies that we perceive by our senses1 ,i judged that they could have been thus produced1 especially since no other mode of explaining them could be devised4 ,and in this matter the example of several bodies made by art was of great service to me3 for ,i recognize no difference between these and natural bodies beyond this1 that the effects of machines depend for the most part on the agency of certain instruments1 which1 as they must bear some proportion to the hands of those who make them1 are always so large that their figures and motions can be seen2 in place of which1 the effects of natural bodies almost always depend upon certain organs so minute as to escape our senses4 ,and it is certain that all the rules of mechanics belong also to physics1 of which it is a part or species1 so that all that is artificial is withal natural3 for it is not less natural for a clock1 made of the requisite number of wheels1 to mark the hours1 than for a tree1 which has sprung from this or that seed1 to produce the fruit peculiar to it4 ,accordingly1 just as those who are familiar with automata1 when they are informed of the use of a machine1 and see some of its parts1 easily infer from these the way in which the others1 that are not seen by them1 are made2 so from considering the sensible effects and parts of natural bodies1 ,i have essayed to determine the character of their causes and insensible parts4 ,,cciv4 ,that1 touching the things which our senses do not perceive1 it is sufficient to explain how they can be1 and that this is all that ,aristotle has essayed4 ,but here some one will perhaps reply1 that although ,i have supposed causes which could produce all natural objects1 we ought not on this account to conclude that they were produced by these causes2 for1 just as the same artisan can make two clocks1 which1 though they both equally well indicate the time1 and are not different in outward appearance1 have nevertheless nothing resembling in the composition of their wheels2 so doubtless the ,supreme ,maker of things has an infinity of diverse means at his disposal1 by each of which he could have made all the things of this world to appear as we see them1 without it being possible for the human mind to know which of all these means he chose to employ4 ,i most freely concede this2 and ,i believe that ,i have done all that was required1 if the causes ,i have assigned are such that their effects accurately correspond to all the phenomena of nature1 without determining whether it is by these or by others that they are actually produced4 ,and it will be sufficient for the use of life to know the causes thus imagined1 for medicine1 mechanics1 and in general all the arts to which the knowledge of physics is of service1 have for their end only those effects that are sensible1 and that are accordingly to be reckoned among the phenomena of nature4 ,footnote3 have for their end only to apply certain sensible bodies to each other in such a way that1 in the course of natural causes1 certain sensible effects may be produced2 and we will be able to accomplish this quite as well by considering the series of certain causes thus imagined1 although false1 as if they were the true1 since this series is supposed similar as far as regards sensible effects4-,french4 ,and lest it should be supposed that ,aristotle did1 or professed to do1 anything more than this1 it ought to be remembered that he himself expressly says1 at the commencement of the seventh chapter of the first book of the ,meteorologies1 that1 with regard to things which are not manifest to the senses1 he thinks to adduce sufficient reasons and demonstrations of them1 if he only shows that they may be such as he explains them4 ,footnote3 words in ,greek ,,ccv4 ,that nevertheless there is a moral certainty that all the things of this world are such as has been here shown they may be4 ,but nevertheless1 that ,i may not wrong the truth by supposing it less certain than it is1 ,i will here distinguish two kinds of certitude4 ,the first is called moral1 that is1 a certainty sufficient for the conduct of life1 though1 if we look to the absolute power of ,god1 what is morally certain may be false4 ,thus1 those who never visited ,rome do not doubt that it is a city of ,italy1 though it might be that all from whom they got their information were deceived4 ,again1 if any one1 wishing to decipher a letter written in ,latin characters that are not placed in regular order1 bethinks himself of reading a ,b wherever an ,a is found1 and a ,c wherever there is a ,b1 and thus of substituting in place of each letter the one which follows it in the order of the alphabet1 and if by this means he finds that there are certain ,latin words composed of these1 he will not doubt that the true meaning of the writing is contained in these words1 although he may discover this only by conjecture1 and although it is possible that the writer of it did not arrange the letters on this principle of alphabetical order1 but on some other1 and thus concealed another meaning in it3 for this is so improbable especially when the cipher contains a number of words as to seem incredible4 ,but they who observe how many things regarding the magnet1 fire1 and the fabric of the whole world1 are here deduced from a very small number of principles1 though they deemed that ,i had taken them up at random and without grounds1 will yet perhaps acknowledge that it could hardly happen that so many things should cohere if these principles were false4 ,,ccvi4 ,that we possess even more than a moral certainty of it4 ,besides1 there are some1 even among natural1 things which we judge to be absolutely certain4 ,absolute certainty arises when we judge that it is impossible a thing can be otherwise than as we think it4 ,this certainty is founded on the metaphysical ground1 that1 as ,god is supremely good and the source of all truth1 the faculty of distinguishing truth from error which he gave us1 cannot be fallacious so long as we use it aright1 and distinctly perceive anything by it4 ,of this character are the demonstrations of mathematics1 the knowledge that material things exist1 and the clear reasonings that are formed regarding them4 ,the results ,i have given in this treatise will perhaps be admitted to a place in the class of truths that are absolutely certain1 if it be considered that they are deduced in a continuous series from the first and most elementary principles of human knowledge2 especially if it be sufficiently understood that we can perceive no external objects unless some local motion be caused by them in our nerves1 and that such motion cannot be caused by the fixed stars1 owing to their great distance from us1 unless a motion be also produced in them and in the whole heavens lying between them and us3 for these points being admitted1 all the others1 at least the more general doctrines which ,i have advanced regarding the world or earth e4 g41 the fluidity of the heavens1 ,part ,,iii41 ,section ,,xlvi41 will appear to be almost the only possible explanations of the phenomena they present4 ,,ccvii4 ,that1 however1 ,i submit all my opinions to the authority of the church4 ,nevertheless1 lest ,i should presume too far1 ,i affirm nothing1 but submit all these my opinions to the authority of the church and the judgment of the more sage2 and ,i desire no one to believe anything ,i may have said1 unless he is constrained to admit it by the force and evidence of reason4