{"collection":"philosophy-ethics","full_text_available":true,"graph_url":"https://unchartedknowledge.5gfusion.net/v2/api/page/gutenberg_920/graph","html_url":"https://unchartedknowledge.5gfusion.net/v2/page/gutenberg_920","id":"gutenberg_920","license":"Public Domain (US)","rights_basis":"gutenberg_metadata_copyright_false","source":"gutenberg","source_url":"https://www.gutenberg.org/ebooks/920","summary":null,"tags":["Category: Philosophy & Ethics","Ethics","Philosophy"],"text":"Produced by an anonymous Project Gutenberg volunteer.\n\n\n\n\n\n\n\n\n\n\nBenedict de Spinoza, THE ETHICS\n(Ethica Ordine Geometrico Demonstrata)\n\nTranslated by R. H. M. Elwes\n\n\n\n\nPart II:  ON THE NATURE AND ORIGIN OF THE MIND\n\n\n\nPREFACE I now pass on to explaining the results, which must\nnecessarily follow from the essence of  God, or of the eternal\nand infinite being; not, indeed, all of them (for we proved in\nPart i.,  Prop. xvi., that an infinite number must follow in an\ninfinite number of ways), but only  those which are able to lead\nus, as it were by the hand, to the knowledge of the human  mind\nand its highest blessedness.\n\nDEFINITIONS I.  By 'body' I mean a mode which expresses in a\ncertain determinate manner the essence  of God, in so far as he\nis considered as an extended thing.  (See Pt. i., Prop. xxv.\nCor.)\n\nII.  I consider as belonging to the essence of a thing that,\nwhich being given, the thing is  necessarily given also, and,\nwhich being removed, the thing is necessarily removed also;  in\nother words, that without which the thing, and which itself\nwithout the thing, can neither  be nor be conceived.\n\nIII. By 'idea,' I mean the mental conception which is formed by\nthe mind as a thinking  thing.\n\n>>>>>Explanation--I say 'conception' rather than perception,\nbecause the word perception  seems to imply that the mind is\npassive in respect to the object; whereas conception seems  to\nexpress an activity of the mind.\n\nIV.  By 'an adequate idea,' I mean an idea which, in so far as\nit is considered in itself,  without relation to the object, has\nall the properties or intrinsic marks of a true idea.\n\n>>>>>Explanation--I say 'intrinsic,' in order to exclude that\nmark which is extrinsic,  namely, the agreement between the idea\nand its object (ideatum).\n\nV.  'Duration' is the indefinite continuance of existing.\n\n>>>>>Explanation--I say 'indefinite,' because it cannot be\ndetermined through the  existence itself of the existing thing,\nor by its efficient cause, which necessarily gives the  existence\nof the thing, but does not take it away.\n\nVI.  'Reality' and 'perfection' I use as synonymous terms.\n\nVII.  By 'particular things,' I mean things which are finite and\nhave a conditioned  existence; but if several individual things\nconcur in one action, so as to be all  simultaneously the effect\nof one cause, I consider them all, so far, as one particular\nthing.\n\n AXIOMS  I.  The essence of man does not involve necessary\nexistence, that is, it may, in the order of  nature, come to pass\nthat this or that man does or does not exist.\n\nII.  Man thinks.\n\nIII.  Modes of thinking, such as love, desire, or any other of\nthe passions, do not take place,  unless there be in the same\nindividual an idea of the thing loved, desired, &c.  But the idea\ncan exist without the presence of any other mode of thinking.\n\nIV.  We perceive that a certain body is affected in many ways.\n\nV.  We feel and perceive no particular things, save bodies and\nmodes of thought.\n\nN.B.  The Postulates are given after the conclusion of Prop.\nxiii.\n\n PROPOSITIONS  I.  Thought is an attribute of God, or God is a\nthinking thing.\n\n>>>>>Proof--Particular thoughts, or this and that thought, are\nmodes which, in a certain  conditioned manner, express the nature\nof God (Pt. i., Prop. xxv., Cor.).  God therefore  possesses the\nattribute (Pt. i., Def. v.) of which the concept is involved in\nall particular  thoughts, which latter are conceived thereby.\nThought, therefore, is one of the infinite  attributes of God,\nwhich express God's eternal and infinite essence (Pt. i., Def.\nvi.).  In  other words, God is a thinking thing.  Q.E.D.\n\n*****Note--This proposition is also evident from the fact, that\nwe are able to conceive  an infinite thinking being.  For, in\nproportion as a thinking being is conceived as thinking  more\nthoughts, so is it conceived as containing more reality or\nperfection.  Therefore a  being, which can think an infinite\nnumber of things in an infinite number of ways, is,\nnecessarily, in respect of thinking, infinite.  As, therefore,\nfrom the consideration of  thought alone, we conceive an infinite\nbeing, thought is necessarily (Pt. i., Deff. iv. and vi.)  one of\nthe infinite attributes of God, as we were desirous of showing.\n\nII.  Extension is an attribute of God, or God is an extended\nthing.\n\n>>>>>Proof--The proof of this proposition is similar to that of\nthe last.\n\nIII.  In God there is necessarily the idea not only of his\nessence, but also of all things which  necessarily follow from\nhis essence.\n\n>>>>>Proof--God (by the first Prop. of this Part) can think an\ninfinite number of things in  infinite ways, or (what is the same\nthing, by Prop. xvi., Part i.) can form the idea of his  essence,\nand of all things which necessarily follow therefrom.  Now all\nthat is in the power  of God necessarily is (Pt. i., Prop.\nxxxv.).  Therefore, such an idea as we are considering\nnecessarily is, and in God alone.  Q.E.D.  (Part i., Prop. xv.)\n\n*****Note--The multitude understand by the power of God the free\nwill of God, and the  right over all things that exist, which\nlatter are accordingly generally considered as  contingent.  For\nit is said that God has the power to destroy all things, and to\nreduce them  to nothing.  Further, the power of God is very often\nlikened to the power of kings.  But  this doctrine we have\nrefuted (Pt. i., Prop. xxxii., Cors. i. and ii.), and we have\nshown  (Part i., Prop. xvi.) that God acts by the same necessity,\nas that by which he understands  himself; in other words, as it\nfollows from the necessity of the divine nature (as all admit),\nthat God understands himself, so also does it follow by the same\nnecessity, that God  performs infinite acts in infinite ways.  We\nfurther showed (Part i., Prop. xxxiv.), that  God's power is\nidentical with God's essence in action; therefore it is as\nimpossible for us  to conceive God as not acting, as to conceive\nhim as non-existent.  If we might pursue  the subject further, I\ncould point out, that the power which is commonly attributed to\nGod  is not only human (as showing that God is conceived by the\nmultitude as a man, or in the  likeness of a man), but involves a\nnegation of power.  However, I am unwilling to go over  the same\nground so often.  I would only beg the reader again and again, to\nturn over  frequently in his mind what I have said in Part i.\nfrom Prop. xvi. to the end.  No one will  be able to follow my\nmeaning, unless he is scrupulously careful not to confound the\npower  of God with the human power and right of kings.\n\nIV.  The idea of God, from which an infinite number of things\nfollow in infinite ways, can  only be one.\n\n>>>>>Proof--Infinite intellect comprehends nothing save the\nattributes of God and his  modifications (Part i., Prop. xxx.).\nNow God is one (Part i., Prop. xiv., Cor.).  Therefore  the idea\nof God, wherefrom an infinite number of things follow in infinite\nways, can only  be one.  Q.E.D.\n\nV.  The actual being of ideas owns God as its cause, only in so\nfar as he is considered as a  thinking thing, not in so far as he\nis unfolded in any other attribute; that is, the ideas both  of\nthe attributes of God and of particular things do not own as\ntheir efficient cause their  objects (ideata) or the things\nperceived, but God himself in so far as he is a thinking thing.\n\n>>>>>Proof--This proposition is evident from Prop. iii. of this\nPart.  We there drew the  conclusion, that God can form the idea\nof his essence, and of all things which follow  necessarily\ntherefrom, solely because he is a thinking thing, and not because\nhe is the  object of his own idea.  Wherefore the actual being of\nideas owns for cause God, in so far  as he is a thinking thing.\nIt may be differently proved as follows:  the actual being of\nideas  is (obviously) a mode of thought, that is (Part i., Prop.\nxxv., Cor.) a mode which expresses  in a certain manner the\nnature of God, in so far as he is a thinking thing, and therefore\n(Part i., Prop. x.) involves the conception of no other attribute\nof God, and consequently  (by Part i., Ax. iv.) is not the effect\nof any attribute save thought.  Therefore the actual  being of\nideas owns God as its cause, in so far as he is considered as a\nthinking thing, &c.   Q.E.D.\n\nVI.  The modes of any given attribute are caused by God, in so\nfar as he is considered  through the attribute of which they are\nmodes, and not in so far as he is considered through  any other\nattribute.\n\n>>>>>Proof--Each attribute is conceived through itself, without\nany other part (Part i.,  Prop. x.); wherefore the modes of each\nattribute involve the conception of that attribute,  but not of\nany other.  Thus (Part i., Ax. iv.) they are caused by God, only\nin so far as he  is considered through the attribute whose modes\nthey are, and not in so far as he is  considered through any\nother.  Q.E.D.\n\n<<<<<Corollary--Hence the actual being of things, which are not\nmodes of thought, does  not follow from the divine nature,\nbecause that nature has prior knowledge of the things.   Things\nrepresented in ideas follow, and are derived from their\nparticular attribute, in the  same manner, and with the same\nnecessity as ideas follow (according to what we have  shown) from\nthe attribute of thought.\n\nVII.  The order and connection of ideas is the same as the order\nand connection of things.\n\n>>>>>Proof--This proposition is evident from Part i., Ax. iv.\nFor the idea of everything  that is caused depends on a\nknowledge of the cause, whereof it is an effect.\n\n<<<<<Corollary--Hence God's power of thinking is equal to his\nrealized power of action-- that is, whatsoever follows from the\ninfinite nature of God in the world of extension  (formaliter),\nfollows without exception in the same order and connection from\nthe idea of  God in the world of thought (objective).\n\n*****Note--Before going any further, I wish to recall to mind\nwhat has been pointed out  above--namely, that whatsoever can be\nperceived by the infinite intellect as constituting the  essence\nof substance, belongs altogether only to one substance:\nconsequently, substance  thinking and substance extended are one\nand the same substance, comprehended now  through one attribute,\nnow through the other.  So, also, a mode of extension and the\nidea  of that mode are one and the same thing, though expressed\nin two ways.  This truth seems  to have been dimly recognized by\nthose Jews who maintained that God, God's intellect,  and the\nthings understood by God are identical.  For instance, a circle\nexisting in nature,  and the idea of a circle existing, which is\nalso in God, are one and the same thing displayed  through\ndifferent attributes.  Thus, whether we conceive nature under the\nattribute of  extension, or under the attribute of thought, or\nunder any other attribute, we shall find the  same order, or one\nand the same chain of causes--that is, the same things following\nin  either case.\n\nI said that God is the cause of an idea--for instance, of the\nidea of a circle,--in so far as he  is a thinking thing; and of a\ncircle, in so far as he is an extended thing, simply because the\nactual being of the idea of a circle can only be perceived as a\nproximate cause through  another mode of thinking, and that again\nthrough another, and so on to infinity; so that, so  long as we\nconsider things as modes of thinking, we must explain the order\nof the whole of  nature, or the whole chain of causes, through\nthe attribute of thought only.  And, in so far  as we consider\nthings as modes of extension, we must explain the order of the\nwhole of  nature through the attributes of extension only; and so\non, in the case of the other  attributes.  Wherefore of things as\nthey are in themselves God is really the cause, inasmuch  as he\nconsists of infinite attributes.  I cannot for the present\nexplain my meaning more  clearly.\n\nVIII.  The ideas of particular things, or of modes, that do not\nexist, must be comprehended  in the infinite idea of God, in the\nsame way as the formal essences of particular things or  modes\nare contained in the attributes of God.\n\n>>>>>Proof--This proposition is evident from the last; it is\nunderstood more clearly from  the preceding note.\n\n<<<<<Corollary--Hence, so long as particular things do not\nexist, except in so far as they  are comprehended in the\nattributes of God, their representations in thought or ideas do\nnot  exist, except in so far as the infinite idea of God exists;\nand when the particular things are  said to exist, not only in so\nfar as they are involved in the attributes of God, but also in so\n far as they are said to continue, their ideas will also involve\nexistence, through which they  are said to continue.\n\n*****Note--If anyone desires an example to throw more light on\nthis question, I shall, I  fear, not be able to give him any,\nwhich adequately explains the thing of which I here  speak,\ninasmuch as it is unique; however, I will endeavour to\nillustrate it as far as possible.   The nature of a circle is\nsuch that if any number of straight lines intersect within it,\nthe  rectangles formed by their segments will be equal to one\nanother; thus, infinite equal  rectangles are contained in a\ncircle.  Yet none of these rectangles can be said to exist,\nexcept in so far as the circle exists; nor can the idea of any of\nthese rectangles be said to  exist, except in so far as they are\ncomprehended in the idea of the circle.  Let us grant that,\nfrom this infinite number of rectangles, two only exist.  The\nideas of these two not only  exist, in so far as they are\ncontained in the idea of the circle, but also as they involve the\n existence of those rectangles; wherefore they are distinguished\nfrom the remaining ideas of  the remaining rectangles.\n\nIX.  The idea of an individual thing actually existing is caused\nby God, not in so far as he  is infinite, but in so far as he is\nconsidered as affected by another idea of a thing actually\nexisting, of which he is the cause, in so far as he is affected\nby a third idea, and so on to  infinity.\n\n>>>>>Proof--The idea of an individual thing actually existing is\nan individual mode of  thinking, and is distinct from other modes\n(by the Cor. and Note to Prop. viii. of this part);  thus (by\nProp. vi. of this part) it is caused by God, in so far only as he\nis a thinking thing.   But not (by Prop. xxviii. of Part i.) in\nso far as he is a thing thinking absolutely, only in so  far as\nhe is considered as affected by another mode of thinking; and he\nis the cause of this  latter, as being affected by a third, and\nso on to infinity.  Now, the order and connection  of ideas is\n(by Prop. vii. of this book) the same as the order and connection\nof causes.   Therefore of a given individual idea another\nindividual idea, or God, in so far as he is  considered as\nmodified by that idea, is the cause; and of this second idea God\nis the  cause, in so far as he is affected by another idea, and\nso on to infinity.  Q.E.D.\n\n<<<<<Corollary--Whatsoever takes place in the individual object\nof any idea, the  knowledge thereof is in God, in so far only as\nhe has the idea of the object.\n\n>>>>>Proof--Whatsoever takes place in the object of any idea, its\nidea is in God (by  Prop. iii. of this part), not in so far as he\nis infinite, but in so far as he is considered as  affected by\nanother idea of an individual thing (by the last Prop.); but (by\nProp. vii. of  this part) the order and connection of ideas is\nthe same as the order and connection of  things.  The knowledge,\ntherefore, of that which takes place in any individual object\nwill  be in God, in so far only as he has the idea of that\nobject.  Q.E.D.\n\nX.  The being of substance does not appertain to the essence of\nman--in other words,  substance does not constitute the actual\nbeing (forma) of man.\n\n>>>>>Proof--The being of substance involves necessary existence\n(Part i., Prop. vii.).   If, therefore, the being of substance\nappertains to the essence of man, substance being  granted, man\nwould necessarily be granted also (II. Def. ii.), and,\nconsequently, man would  necessarily exist, which is absurd (II.\nAx. i.).  Therefore &c.  Q.E.D.\n\n*****Note--This proposition may also be proved from I.v., in\nwhich it is shown that there  cannot be two substances of the\nsame nature; for as there may be many men, the being of\nsubstance is not that which constitutes the actual being of man.\nAgain, the proposition is  evident from the other properties of\nsubstance--namely, that substance is in its nature  infinite,\nimmutable, indivisible, &c., as anyone may see for himself.\n\n<<<<<Corollary--Hence it follows, that the essence of man is\nconstituted by certain  modifications of the attributes of God.\nFor (by the last Prop.) the being of substance does  not belong\nto the essence of man.  That essence therefore (by I. xv.) is\nsomething which is  in God, and which without God can neither be\nnor be conceived, whether it be a  modification (I. xxv. Cor.),\nor a mode which expresses God's nature in a certain  conditioned\nmanner.\n\n*****Note--Everyone must surely admit, that nothing can be or be\nconceived without  God.  All men agree that God is the one and\nonly cause of all things, both of their essence  and of their\nexistence; that is, God is not only the cause of things in\nrespect to their being  made (secundum fieri), but also in\nrespect to their being (secundum esse).\n\nAt the same time many assert, that that, without which a thing\ncannot be nor be conceived,  belongs to the essence of that\nthing; wherefore they believe that either the nature of God\nappertains to the essence of created things, or else that created\nthings can be or be  conceived without God; or else, as is more\nprobably the case, they hold inconsistent  doctrines.  I think\nthe cause for such confusion is mainly, that they do not keep to\nthe  proper order of philosophic thinking.  The nature of God,\nwhich should be reflected on  first, inasmuch as it is prior both\nin the order of knowledge and the order of nature, they  have\ntaken to be last in the order of knowledge, and have put into the\nfirst place what they  call the objects of sensation; hence,\nwhile they are considering natural phenomena, they  give no\nattention at all to the divine nature, and, when afterwards they\napply their mind to  the study of the divine nature, they are\nquite unable to bear in mind the first hypotheses,  with which\nthey have overlaid the knowledge of natural phenomena, inasmuch\nas such  hypotheses are no help towards understanding the divine\nnature.  So that it is hardly to be  wondered at, that these\npersons contradict themselves freely.\n\nHowever, I pass over this point.  My intention her was only to\ngive a reason for not saying,  that that, without which a thing\ncannot be or be conceived, belongs to the essence of that  thing:\nindividual things cannot be or be conceived without God, yet God\ndoes not  appertain to their essence.  I said that \"I considered\nas belonging to the essence of a thing  that, which being given,\nthe thing is necessarily given also, and which being removed, the\nthing is necessarily removed also; or that without which the\nthing, and which itself without  the thing can neither be nor be\nconceived.\"  (II. Def. ii.)\n\nXI.  The first element, which constitutes the actual being of the\nhuman mind, is the idea of  some particular thing actually\nexisting.\n\n>>>>>Proof--The essence of man (by the Cor. of the last Prop.) is\nconstituted by certain  modes of the attributes of God, namely\n(by II. Ax. ii.), by the modes of thinking, of all  which (by II.\nAx. iii.) the idea is prior in nature, and, when the idea is\ngiven, the other  modes (namely, those of which the idea is prior\nin nature) must be in the same individual  (by the same Axiom).\nTherefore an idea is the first element constituting the human\nmind.   But not the idea of a non-existent thing, for then (II.\nviii. Cor.) the idea itself cannot be  said to exist; it must\ntherefore be the idea of something actually existing.  But not of\nan  infinite thing.  For an infinite thing (I. xxi., xxii.), must\nalways necessarily exist; this would  (by II. Ax. i.) involve an\nabsurdity.  Therefore the first element, which constitutes the\nactual being of the human mind, is the idea of something actually\nexisting.  Q.E.D.\n\n<<<<<Corollary--Hence it follows, that the human mind is part of\nthe infinite intellect of  God; thus when we say, that the human\nmind perceives this or that, we make the assertion,  that God has\nthis or that idea, not in so far as he is infinite, but in so far\nas he is displayed  through the nature of the human mind, or in\nso far as he constitutes the essence of the  human mind; and when\nwe say that God has this or that idea, not only in so far as he\nconstitutes the essence of the human mind, but also in so far as\nhe, simultaneously with the  human mind, has the further idea of\nanother thing, we assert that the human mind  perceives a thing\nin part or inadequately.\n\n*****Note--Here, I doubt not, readers will come to a stand, and\nwill call to mind many  things which will cause them to hesitate;\nI therefore beg them to accompany me slowly,  step by step, and\nnot to pronounce on my statements, till they have read to the\nend.\n\nXII.  Whatsoever comes to pass in the object of the idea, which\nconstitutes the human  mind, must be perceived by the human mind,\nor there will necessarily be an idea in the  human mind of the\nsaid occurrence.  That is, if the object of the idea constituting\nthe  human mind be a body, nothing can take place in that body\nwithout being perceived by  the mind.\n\n>>>>>Proof--Whatsoever comes to pass in the object of any idea,\nthe knowledge  thereof is necessarily in God (II. ix. Cor.), in\nso far as he is considered as affected by  the idea of the said\nobject, that is (II. xi.), in so far as he constitutes the mind\nof anything.   Therefore, whatsoever takes place in the object\nconstituting the idea of the human mind,  the knowledge thereof\nis necessarily in God, in so far as he constitutes the essence of\nthe  human mind; that is (by II. xi. Cor.) the knowledge of the\nsaid thing will necessarily be  in the mind, in other words the\nmind perceives it.\n\n*****Note--This proposition is also evident, and is more clearly\nto be understood from  II. vii., which see.\n\nXIII.  The object of the idea constituting the human mind is the\nbody, in other words a  certain mode of extension which actually\nexists, and nothing else.\n\n>>>>>Proof--If indeed the body were not the object of the human\nmind, the ideas of the  modifications of the body would not be in\nGod (II. ix. Cor.) in virtue of his constituting  our mind, but\nin virtue of his constituting the mind of something else; that is\n(II. xi. Cor.)  the ideas of the modifications of the body would\nnot be in our mind:  now (by II. Ax. iv.)  we do possess the idea\nof the modifications of the body.  Therefore the object of the\nidea constituting the human mind is the body, and the body as it\nactually exists (II. xi.).   Further, if there were any other\nobject of the idea constituting the mind besides body,  then, as\nnothing can exist from which some effect does not follow (I.\nxxxvi.) there would  necessarily have to be in our mind an idea,\nwhich would be the effect of that other object  (II. xi.); but\n(I. Ax. v.) there is no such idea.  Wherefore the object of our\nmind is the body  as it exists, and nothing else.  Q.E.D.\n\n*****Note--We thus comprehend, not only that the human mind is\nunited to the body,  but also the nature of the union between\nmind and body.  However, no one will be able  to grasp this\nadequately or distinctly, unless he first has adequate knowledge\nof the nature  of our body.  The propositions we have advanced\nhitherto have been entirely general,  applying not more to men\nthan to other individual things, all of which, though in\ndifferent  degrees, are animated (animata).  For of everything\nthere is necessarily an idea in God, of  which God is the cause,\nin the same way as there is an idea of the human body; thus\nwhatever we have asserted of the idea of the human body must\nnecessarily also be asserted  of the idea of everything else.\nStill, on the other hand, we cannot deny that ideas, like\nobjects, differ one from the other, one being more excellent than\nanother and containing  more reality, just as the object of one\nidea is more excellent than the object of another idea,  and\ncontains more reality.\n\nWherefore, in order to determine, wherein the human mind differs\nfrom other things, and  wherein it surpasses them, it is\nnecessary for us to know the nature of its object, that is,  of\nthe human body.  What this nature is, I am not able here to\nexplain, nor is it necessary  for the proof of what I advance,\nthat I should do so.  I will only say generally, that in\nproportion as any given body is more fitted than others for doing\nmany actions or receiving  many impressions at once, so also is\nthe mind, of which it is the object, more fitted than  others for\nforming many simultaneous perceptions; and the more the actions\nof the body  depend on itself alone, and the fewer other bodies\nconcur with it in action, the more fitted  is the mind of which\nit is the object for distinct comprehension.  We may thus\nrecognize  the superiority of one mind over others, and may\nfurther see the cause, why we have only a  very confused\nknowledge of our body, and also many kindred questions, which I\nwill, in  the following propositions, deduce from what has been\nadvanced.  Wherefore I have  thought it worth while to explain\nand prove more strictly my present statements.  In order  to do\nso, I must premise a few propositions concerning the nature of\nbodies.\n\n---Axiom I.  All bodies are either in motion or at rest.\n\n---Axiom II.  Every body is moved sometimes more slowly,\nsometimes more quickly.\n\nLemma I.  Bodies are distinguished from one another in respect of\nmotion and rest,  quickness and slowness, and not in respect of\nsubstance.\n\n>>>>>Proof--The first part of this proposition is, I take it,\nself-evident.  That bodies are  not distinguished in respect of\nsubstance, is plain both from I. v. and I. viii.  It is brought\nout still more clearly from I. xv., Note.\n\nLemma II.  All bodies agree in certain respects.\n\n>>>>>Proof--All bodies agree in the fact, that they involve the\nconception of one and the  same attribute (II., Def. i.).\nFurther, in the fact that they may be moved less or more\nquickly, and may be absolutely in motion or at rest.\n\nLemma III.  A body in motion or at rest must be determined to\nmotion or rest by another  body, which other body has been\ndetermined to motion or rest by a third body, and that  third\nagain by a fourth, and so on to infinity.\n\n>>>>>Proof--Bodies are individual things (II., Def. i.), which\n(Lemma i.) are distinguished  one from the other in respect to\nmotion and rest; thus (I. xxviii.) each must necessarily be\ndetermined to motion or rest by another individual thing, namely\n(II. vi.) by another body,  which other body is also (Ax. i.) in\nmotion or at rest.  And this body again can only have  been set\nin motion or caused to rest by being determined by a third body\nto motion or rest.   This third body again by a fourth, and so on\nto infinity.  Q.E.D.\n\n<<<<<Corollary--Hence it follows, that a body in motion keeps in\nmotion, until it is  determined to a state of rest by some other\nbody; and a body at rest remains so, until it is  determined to a\nstate of motion by some other body.  This is indeed self-evident.\nFor  when I suppose, for instance, that a given body, A, is at\nrest, and do not take into  consideration other bodies in motion,\nI cannot affirm anything concerning the body A,  except that it\nis at rest.  If it afterwards comes to pass that A is in motion,\nthis cannot have  resulted from its having been at rest, for no\nother consequence could have been involved  than its remaining at\nrest.  If, on the other hand, A be given in motion, we shall, so\nlong as  we only consider A, be unable to affirm anything\nconcerning it, except that it is in motion.   If A is\nsubsequently found to be at rest, this rest cannot be the result\nof A's previous  motion, for such motion can only have led to\ncontinued motion; the state of rest therefore  must have resulted\nfrom something, which was not in A, namely, from an external\ncause  determining A to a state of rest.\n\n-----Axiom I--All modes, wherein one body is affected by another\nbody, follow  simultaneously from the nature of the body\naffected and the body affecting; so that one  and the same body\nmay be moved in different modes, according to the difference in\nthe  nature of the bodies moving it; on the other hand, different\nbodies may be moved in  different modes by one and the same body.\n\n-----Axiom II--When a body in motion impinges on another body at\nrest, which it is  unable to move, it recoils, in order to\ncontinue its motion, and the angle made by the line  of motion in\nthe recoil and the plane of the body at rest, whereon the moving\nbody has  impinged, will be equal to the angle formed by the line\nof motion of incidence and the  same plane.\n\nSo far we have been speaking only of the most simple bodies,\nwhich are only distinguished  one from the other by motion and\nrest, quickness and slowness.  We now pass on to  compound\nbodies.\n\nDefinition--When any given bodies of the same or different\nmagnitude are compelled by  other bodies to remain in contact, or\nif they be moved at the same or different rates of  speed, so\nthat their mutual movements should preserve among themselves a\ncertain fixed  relation, we say that such bodies are 'in union,'\nand that together they compose one body  or individual, which is\ndistinguished from other bodies by the fact of this union.\n\n-----Axiom III--In proportion as the parts of an individual, or\na compound body, are in  contact over a greater or less\nsuperficies, they will with greater or less difficulty admit of\nbeing moved from their position; consequently the individual\nwill, with greater or less  difficulty, be brought to assume\nanother form.  Those bodies, whose parts are in contact  over\nlarge superficies, are called 'hard;' those, whose parts are in\ncontact over small  superficies, are called 'soft;' those, whose\nparts are in motion among one another, are  called 'fluid.'\n\nLemma IV.  If from a body or individual, compounded of several\nbodies, certain bodies be  separated, and if, at the same time,\nan equal number of other bodies of the same nature  take their\nplace, the individual will preserve its nature as before, without\nany change in its  actuality (forma).\n\n>>>>>Proof--Bodies (Lemma i.) are not distinguished in respect of\nsubstance:  that which  constitutes the actuality (formam) of an\nindividual consists (by the last Def.) in a union of  bodies; but\nthis union, although there is a continual change of bodies, will\n(by our  hypothesis) be maintained; the individual, therefore,\nwill retain its nature as before, both in  respect of substance\nand in respect of mode.  Q.E.D.\n\nLemma V.  If the parts composing an individual become greater or\nless, but in such  proportion, that they all preserve the same\nmutual relations of motion and rest, the  individual will still\npreserve its original nature, and its actuality will not be\nchanged.\n\n>>>>>Proof--The same as for the last Lemma.\n\nLemma VI.  If certain bodies composing an individual be compelled\nto change the motion,  which they have in one direction, for\nmotion in another direction, but in such a manner,  that they be\nable to continue their motions and their mutual communication in\nthe same  relations as before, the individual will retain its own\nnature without any change of its  actuality.\n\n>>>>>Proof--This proposition is self-evident, for the individual\nis supposed to retain all  that, which, in its definition, we\nspoke of as its actual being.\n\nLemma VII.  Furthermore, the individual thus composed preserves\nits nature, whether it  be, as a whole, in motion or at rest,\nwhether it be moved in this or that direction; so long  as each\npart retains its motion, and preserves its communication with\nother parts as  before.\n\n>>>>>Proof--This proposition is evident from the definition of an\nindividual prefixed to  Lemma iv.\n\n*****Note--We thus see, how a composite individual may be\naffected in many different  ways, and preserve its nature\nnotwithstanding.  Thus far we have conceived an individual  as\ncomposed of bodies only distinguished one from the other in\nrespect of motion and  rest, speed and slowness; that is, of\nbodies of the most simple character.  If, however, we  now\nconceive another individual composed of several individuals of\ndiverse natures, we  shall find that the number of ways in which\nit can be affected, without losing its nature, will  be greatly\nmultiplied.  Each of its parts would consist of several bodies,\nand therefore (by  Lemma vi.) each part would admit, without\nchange to its nature, of quicker or slower  motion, and would\nconsequently be able to transmit its motions more quickly or more\n slowly to the remaining parts.  If we further conceive a third\nkind of individuals composed  of individuals of this second kind,\nwe shall find that they may be affected in a still greater\nnumber of ways without changing their actuality.  We may easily\nproceed thus to infinity,  and conceive the whole of nature as\none individual, whose parts, that is, all bodies, vary in\ninfinite ways, without any change in the individual as a whole.\nI should feel bound to  explain and demonstrate this point at\nmore length, if I were writing a special treatise on  body.  But\nI have already said that such is not my object; I have only\ntouched on the  question, because it enables me to prove easily\nthat which I have in view.\n\nPOSTULATES I.  The human body is composed of a number of\nindividual parts, of diverse nature, each  one of which is in\nitself extremely complex.\n\nII.  Of the individual parts composing the human body some are\nfluid, some soft, some  hard.\n\nIII.  The individual parts composing the human body, and\nconsequently the human body  itself, are affected in a variety of\nways by external bodies.\n\nIV.  The human body stands in need for its preservation of a\nnumber of other bodies, by  which it is continually, so to speak,\nregenerated.\n\nV.  When the fluid part of the human body is determined by an\nexternal body to impinge  often on another soft part, it changes\nthe surface of the latter, and, as it were, leaves the\nimpression thereupon of the external body which impels it.\n\nVI.  The human body can move external bodies, and arrange them in\na variety of ways.\n\nPROPOSITIONS XIV.  The human mind is capable of perceiving a\ngreat number of things, and is so in   proportion as its body is\ncapable of receiving a great number of impressions.\n\n>>>>>Proof--The human body (by Post. iii. and vi.) is affected in\nvery many ways by  external bodies, and is capable in very many\nways of affecting external bodies.  But (II.xii.)  the human mind\nmust perceive all that takes place in the human body; the human\nmind is,  therefore, capable of perceiving a great number of\nthings, and is so in proportion, &c.   Q.E.D.\n\nXV.  The idea, which constitutes the actual being of the human\nmind, is not simple, but  compounded of a great number of ideas.\n\n>>>>>Proof--The idea constituting the actual being of the human\nmind is the idea of the  body (II. xiii.), which (Post. i.) is\ncomposed of a great number of complex individual  parts.  But\nthere is necessarily in God the idea of each individual part\nwhereof the body is  composed (II. viii. Cor.); therefore (II.\nvii.), the idea of the human body is composed of  each of these\nnumerous ideas of its component parts.  Q.E.D.\n\nXVI.  The idea of every mode, in which the human body is\naffected by external bodies,  must involve the nature of the\nhuman body, and also the nature of the external body.\n\n>>>>>Proof--All the modes, in which any given body is affected,\nfollow from the nature  of the body affected, and also from the\nnature of the affecting body (by Ax. i., after the  Cor. of Lemma\niii.), wherefore their idea is also necessarily (by I, Ax. iv.)\ninvolves the  nature of both bodies; therefore, the idea of every\nmode, in which the human body is  affected by external bodies,\ninvolves the nature of the human body and of the external  body.\nQ.E.D.\n\n<<<<<Corollary I.--Hence it follows, first, that the human mind\nperceives the nature of a  variety of bodies, together with the\nnature of its own.\n\n<<<<<Corollary II.--It follows, secondly, that the ideas, which\nwe have of external bodies,  indicate rather the constitution of\nour own body than the nature of external bodies.  I have  amply\nillustrated this in the Appendix to Part I.\n\nXVII.  If the human body is affected in a manner which involves\nthe nature of any external  body, the human mind will regard the\nsaid external body as actually existing, or as present  to\nitself, until the human body be affected in such a way, as to\nexclude the existence or the  presence of the said external body.\n\n>>>>>Proof--This proposition is self-evident, for so long as the\nhuman body continues to  be thus affected, so long will the human\nmind (II. xii.) regard this modification of the body  --that is\n(by the last Prop.), it will have the idea of the mode as\nactually existing, and this  idea involves the nature of the\nexternal body; therefore the mind (by II. xvi., Cor. i.) will\nregard the external body as actually existing, until it is\naffected, &c.  Q.E.D.\n\n<<<<<Corollary--The mind is able to regard as present external\nbodies, by which the  human body has once been affected, even\nthough they be no longer in existence or present.\n\n>>>>>Proof--When external bodies determine the fluid parts of the\nhuman body, so that  they often impinge on the softer parts, they\nchange the surface of the last named (Post. v);  hence (Ax. ii.,\nafter the Cor. of Lemma iii.) they are refracted therefrom in a\ndifferent  manner from that which they followed before such\nchange; and, further, when afterwards  they impinge on the new\nsurfaces by their own spontaneous movement, they will be\nrefracted in the same manner, as though they had been impelled\ntowards those surfaces by  external bodies; consequently, they\nwill, while they continue to be thus refracted, affect the  human\nbody in the same manner, whereof the mind (II. xii.) will again\ntake cognizance  --that is (II. xvii.), the mind will again\nregard the external body as present, and will do so,  as often as\nthe fluid parts of the human body impinge on the aforesaid\nsurfaces by their  own spontaneous motion.  Wherefore, although\nthe external bodies, by which the human  body has once been\naffected, be no longer in existence, the mind will nevertheless\nregard  them as present, as often as this action of the body is\nrepeated.  Q.E.D.\n\n*****Note--We thus see how it comes about, as is often the case,\nthat we regard as  present many things which are not.  It is\npossible that the same result may be brought about  by other\ncauses; but I think it suffices for me here to have indicated one\npossible  explanation, just as well as if I had pointed out the\ntrue cause.  Indeed, I do not think I  am very far from the\ntruth, for all my assumptions are based on postulates, which\nrest,  almost without exception, on experience, that cannot be\ncontroverted by those who have  shown, as we have, that the human\nbody, as we feel it, exists (Cor. after II. xiii.).   Furthermore\n(II. vii. Cor., II. xvi. Cor. ii.), we clearly understand what is\nthe difference  between the idea, say, of Peter, which\nconstitutes the essence of Peter's mind, and the  idea of the\nsaid Peter, which is in another man, say, Paul.  The former\ndirectly answers to  the essence of Peter's own body, and only\nimplies existence so long as Peter exists; the  latter indicates\nrather the disposition of Paul's body than the nature of Peter,\nand,  therefore, while this disposition of Paul's body lasts,\nPaul's mind will regard Peter as  present to itself, even though\nhe no longer exists.  Further, to retain the usual phraseology,\nthe modifications of the human body, of which the ideas represent\nexternal bodies as  present to us, we will call the images of\nthings, though they do not recall the figure of  things.  When\nthe mind regards bodies in this fashion, we say that it imagines.\nI will here  draw attention to the fact, in order to indicate\nwhere error lies, that the imaginations of the  mind, looked at\nin themselves, do not contain error.  The mind does not err in\nthe mere act  of imagining, but only in so far as it is regarded\nas being without the idea, which excludes  the existence of such\nthings as it imagines to be present to it.  If the mind, while\nimagining  non-existent things as present to it, is at the same\ntime conscious that they do not really  exist, this power of\nimagination must be set down to the efficacy of its nature, and\nnot to a  fault, especially if this faculty of imagination depend\nsolely on its own nature--that is (I.  Def. vii.), if this\nfaculty of imagination be free.\n\nXVIII.  If the human body has once been affected by two or more\nbodies at the same  time, when the mind afterwards imagines any\nof them, it will straightway remember the  others also.\n\n>>>>>Proof--The mind (II. xvii. Cor.) imagines any given body,\nbecause the human body  is affected and disposed by the\nimpressions from an external body, in the same manner as  it is\naffected when certain of its parts are acted on by the said\nexternal body; but (by our  hypothesis) the body was then so\ndisposed, that the mind imagined two bodies at once;  therefore,\nit will also in the second case imagine two bodies at once, and\nthe mind, when  it imagines one, will straightway remember the\nother.  Q.E.D.\n\n*****Note--We now clearly see what 'Memory' is.  It is simply a\ncertain association of  ideas involving the nature of things\noutside the human body, which association arises in the  mind\naccording to the order and association of the modifications\n(affectiones) of the  human body.  I say, first, it is an\nassociation of those ideas only, which involve the nature  of\nthings outside the human body:  not of ideas which answer to the\nnature of the said  things:  ideas of the modifications of the\nhuman body are, strictly speaking (II. xvi.), those  which\ninvolve the nature both of the human body and of external bodies.\nI say, secondly,  that this association arises according to the\norder and association of the modifications of  the human body, in\norder to distinguish it from that association of ideas, which\narises from  the order of the intellect, whereby the mind\nperceives things through their primary causes,  and which is in\nall men the same.  And hence we can further clearly understand,\nwhy the  mind from the thought of one thing, should straightway\narrive at the thought of another  thing, which has no similarity\nwith the first; for instance, from the thought of the word\n'pomum' (an apple), a Roman would straightway arrive at the\nthought of the fruit apple,  which has no similitude with the\narticulate sound in question, nor anything in common  with it,\nexcept that the body of the man has often been affected by these\ntwo things; that  is, that the man has often heard the word\n'pomum,' while he was looking at the fruit;  similarly every man\nwill go on from one thought to another, according as his habit\nhas  ordered the images of things in his body.  For a soldier,\nfor instance, when he sees the  tracks of a horse in sand, will\nat once pass from the thought of a horse to the thought of a\nhorseman, and thence to the thought of war, &c.; while a\ncountryman will proceed from  the thought of a horse to the\nthought of a plough, a field, &c.  Thus every man will follow\nthis or that train of thought, according as he has been in the\nhabit of conjoining and  associating the mental images of things\nin this or that manner.\n\nXIX.  The human mind has no knowledge of the body, and does not\nknow it to exist, save  through the ideas of the modifications\nwhereby the body is affected.\n\n>>>>>Proof--The human mind is the very idea or knowledge of the\nhuman body (II. xiii.),  which (II. ix.) is in God, in so far as\nhe is regarded as affected by another idea of a  particular thing\nactually existing:  or, inasmuch as (Post. iv.) the human body\nstands in  need of very many bodies whereby it is, as it were,\ncontinually regenerated; and the order  and connection of ideas\nis the same as the order and connection of causes (II. vii.);\nthis  idea will therefore be in God, in so far as he is regarded\nas affected by the ideas of very  many particular things.  Thus\nGod has the idea of the human body, or knows the human  body, in\nso far as he is affected by very many other ideas, and not in so\nfar as he  constitutes the nature of the human mind; that is (by\nII. xi. Cor.), the human mind does not  know the human body.  But\nthe ideas of the modifications of body are in God, in so far as\nhe constitutes the nature of the human mind, or the human mind\nperceives those  modifications (II. xii.), and consequently (II.\nxvi.) the human body itself, and as actually  existing; therefore\nthe mind perceives thus far only the human body.  Q.E.D.\n\nXX. The idea or knowledge of the human mind is also in God,\nfollowing in God in the  same manner, and being referred to God\nin the same manner, as the idea or knowledge of  the human body.\n\n>>>>>Proof--Thought is an attribute of God (II. i.); therefore\n(II. iii.) there must  necessarily be in God the idea both of\nthought itself and of all its modifications,  consequently also\nof the human mind (II. xi.).  Further, this idea or knowledge of\nthe mind  does not follow from God, in so far as he is infinite,\nbut in so far as he is affected by  another idea of an individual\nthing (II. ix.).  But (II. vii.) the order and connection of\nideas  is the same as the order and connection of causes;\ntherefore this idea or knowledge of the  mind is in God and is\nreferred to God, in the same manner as the idea or knowledge of\nthe  body.  Q.E.D.\n\nXXI. This idea of the mind is united to the mind in the same way\nas the mind is united to  the body.\n\n>>>>>Proof--That the mind is united to the body we have shown\nfrom the fact, that the  body is the object of the mind (II. xii.\nand xiii.); and so for the same reason the idea of the  mind must\nbe united with its object, that is, with the mind in the same\nmanner as the mind  is united to the body.  Q.E.D.\n\n*****Note--This proposition is comprehended much more clearly\nfrom what we have said  in the note to II. vii.  We there showed\nthat the idea of body and body, that is, mind and  body (II.\nxiii.), are one and the same individual conceived now under the\nattribute of  thought, now under the attribute of extension;\nwherefore the idea of the mind and the mind  itself are one and\nthe same thing, which is conceived under one and the same\nattribute,  namely, thought.  The idea of the mind, I repeat, and\nthe mind itself are in God by the  same necessity and follow from\nhim from the same power of thinking.  Strictly speaking,  the\nidea of the mind, that is, the idea of an idea, is nothing but\nthe distinctive quality  (forma) of the idea in so far as it is\nconceived as a mode of thought without reference to  the object;\nif a man knows anything, he, by that very fact, knows that he\nknows it, and at  the same time knows that he knows that he knows\nit, and so on to infinity.  But I will treat  of this hereafter.\n\nXXII. The human mind perceives not only the modifications of the\nbody, but also the ideas  of such modifications.\n\n>>>>>Proof--The ideas of the ideas of modifications follow in God\nin the same manner,  and are referred to God in the same manner,\nas the ideas of the said modifications.  This is  proved in the\nsame way as II. xx.  But the ideas of the modifications of the\nbody are in the  human mind (II. xii.), that is, in God, in so\nfar as he constitutes the essence of the human  mind; therefore\nthe ideas of these ideas will be in God, in so far as he has the\nknowledge  or idea of the human mind, that is (II. xxi.), they\nwill be in the human mind itself, which  therefore perceives not\nonly the modifications of the body, but also the ideas of such\nmodifications.  Q.E.D.\n\nXXIII. The mind does not know itself, except in so far as it\nperceives the ideas of the  modifications of the body.\n\n>>>>>Proof--The idea or knowledge of the mind (II. xx.) follows\nin God in the same  manner, and is referred to God in the same\nmanner, as the idea or knowledge of the  body.  But since (II.\nxix.) the human mind does not know the human body itself, that is\n (II. xi. Cor.), since the knowledge of the human body is not\nreferred to God, in so far as  he constitutes the nature of the\nhuman mind; therefore, neither is the knowledge of the  mind\nreferred to God, in so far as he constitutes the essence of the\nhuman mind; therefore  (by the same Cor. II. xi.), the human mind\nthus far has no knowledge of itself.  Further the  ideas of the\nmodifications, whereby the body is affected, involve the nature\nof the human  body itself (II. xvi.), that is (II. xiii.), they\nagree with the nature of the mind; wherefore the  knowledge of\nthese ideas necessarily involves knowledge of the mind; but (by\nthe last  Prop.) the knowledge of these ideas is in the human\nmind itself; wherefore the human mind  thus far only has\nknowledge of itself.  Q.E.D.\n\nXXIV. The human mind does not involve an adequate knowledge of\nthe parts composing  the human body.\n\n>>>>>Proof--The parts composing the human body do not belong to\nthe essence of that  body, except in so far as they communicate\ntheir motions to one another in a certain fixed  relation (Def.\nafter Lemma iii.), not in so far as they can be regarded as\nindividuals without  relation to the human body.  The parts of\nthe human body are highly complex individuals  (Post. i.), whose\nparts (Lemma iv.) can be separated from the human body without in\nany  way destroying the nature and distinctive quality of the\nlatter, and they can communicate  their motions (Ax. i., after\nLemma iii.) to other bodies in another relation; therefore (II.\niii.)  the idea or knowledge of each part will be in God,\ninasmuch (II. ix.) as he is regarded as  affected by another idea\nof a particular thing, which particular thing is prior in the\norder of  nature to the aforesaid part (II. vii.).  We may affirm\nthe same thing of each part of each  individual composing the\nhuman body; therefore, the knowledge of each part composing  the\nhuman body is in God, in so far as he is affected by very many\nideas of things, and not  in so far as he has the idea of the\nhuman body only, in other words, the idea which  constitutes the\nnature of the human mind (II. xiii.); therefore (II. xi. Cor.),\nthe human mind  does not involve an adequate knowledge of the\nhuman body.  Q.E.D.\n\nXXV. The idea of each modification of the human body does not\ninvolve an adequate  knowledge of the external body.\n\n>>>>>Proof--We have shown that the idea of a modification of the\nhuman body involves  the nature of an external body, in so far as\nthat external body conditions the human body in  a given manner.\nBut, in so far as the external body is an individual, which has\nno reference  to the human body, the knowledge or idea thereof is\nin God (II. ix.), in so far as God is  regarded as affected by\nthe idea of a further thing, which (II. vii.) is naturally prior\nto the  said external body.  Wherefore an adequate knowledge of\nthe external body is not in God,  in so far as he has the idea of\nthe modification of the human body; in other words, the idea  of\nthe modification of the human body does not involve an adequate\nknowledge of the  external body.  Q.E.D.\n\nXXVI. The human mind does not perceive any external body as\nactually existing, except  through the ideas of the modifications\nof its own body.\n\n>>>>>Proof--If the human body is in no way affected by a given\nexternal body, then  (II. vii.) neither is the idea of the human\nbody, in other words, the human mind, affected in  any way by the\nidea of the existence of the said external body, nor does it in\nany manner  perceive its existence.  But, in so far as the human\nbody is affected in any way by a given  external body, thus far\n(II. xvi. and Cor.) it perceives that external body.  Q.E.D.\n\n<<<<<Corollary--In so far as the human mind imagines an external\nbody, it has not an  adequate knowledge thereof.\n\n>>>>>Proof--When the human mind regards external bodies through\nthe ideas of the  modifications of its own body, we say that it\nimagines (see II. xvii. note); now the mind  can only imagine\nexternal bodies as actually existing.  Therefore (by II. xxv.),\nin so far as  the mind imagines external bodies, it has not an\nadequate knowledge of them.  Q.E.D.\n\nXXVII. The idea of each modification of the human body does not\ninvolve an adequate  knowledge of the human body itself.\n\n>>>>>Proof--Every idea of a modification of the human body\ninvolves the nature of the  human body, in so far as the human\nbody is regarded as affected in a given manner (II.  xvi.).  But\ninasmuch as the human body is an individual which may be affected\nin many  other ways, the idea of the said modification, &c.\nQ.E.D.\n\nXXVIII. The ideas of the modifications of the human body, in so\nfar as they have  reference only to the human mind, are not clear\nand distinct, but confused.\n\n>>>>>Proof--The ideas of the modifications of the human body\ninvolve the nature both of  the human body and of external bodies\n(II. xvi.); they must involve the nature not only of  the human\nbody but also of its parts; for the modifications are modes\n(Post. iii.), whereby  the parts of the human body, and,\nconsequently, the human body as a whole are affected.   But (by\nII. xxiv., xxv.) the adequate knowledge of external bodies, as\nalso of the parts  composing the human body, is not in God, in\nso far as he is regarded as affected by the  human mind, but in\nso far as he is regarded as affected by other ideas.  These ideas\nof  modifications, in so far as they are referred to the human\nmind alone, are as consequences  without premisses, in other\nwords, confused ideas.  Q.E.D.\n\n*****Note--The idea which constitutes the nature of the human\nmind is, in the same  manner, proved not to be, when considered\nin itself and alone, clear and distinct; as also  is the case\nwith the idea of the human mind, and the ideas of the ideas of\nthe modifications  of the human body, in so far as they are\nreferred to the mind only, as everyone may easily  see.\n\nXXIX.  The idea of the idea of each modification of the human\nbody does not involve an  adequate knowledge of the human mind.\n\n>>>>>Proof--The idea of a modification of the human body (II.\nxxvii.) does not involve  an adequate knowledge of the said body,\nin other words, does not adequately express its  nature; that is\n(II. xiii.) it does not agree with the nature of the mind\nadequately; therefore  (I. Ax. vi.) the idea of this idea does\nnot adequately express the nature of the human mind,  or does not\ninvolve an adequate knowledge thereof.\n\n<<<<<Corollary--Hence it follows that the human mind, when it\nperceives things after the  common order of nature, has not an\nadequate but only a confused and fragmentary  knowledge of\nitself, of its own body, and of external bodies.  For the mind\ndoes not know  itself, except in so far as it perceives the ideas\nof the modifications of body (II. xxiii.).  It  only perceives\nits own body (II. xix.) through the ideas of the modifications of\nbody (II.  xxiii.).  It only perceives its own body (II. xix.)\nthrough the ideas of the modifications, and  only perceives\nexternal bodies through the same means; thus, in so far as it has\nsuch ideas  of modification, it has not an adequate knowledge of\nitself (II. xxix.), nor of its own body  (II. xxvii.), nor of\nexternal bodies (II. xxv.), but only a fragmentary and confused\nknowledge thereof (II. xxviii. and note).  Q.E.D.\n\n*****Note--I say expressly, that the mind has not an adequate but\nonly a confused  knowledge of itself, its own body, and of\nexternal bodies, whenever it perceives things  after the common\norder of nature; that is, whenever it is determined from without,\nnamely,  by the fortuitous play of circumstance, to regard this\nor that; not at such times as it is  determined from within, that\nis, by the fact of regarding several things at once, to\nunderstand their points of agreement, difference, and contrast.\nWhenever it is determined  in anywise from within, it regards\nthings clearly and distinctly, as I will show below.\n\nXXX. We can only have a very inadequate knowledge of the duration\nof our body.\n\n>>>>>Proof--The duration of our body does not depend on its\nessence (II. Ax. i.), nor  on the absolute nature of God (I.\nxxi.).  But (I. xxviii.) it is conditioned to exist and operate\nby causes, which in their turn are conditioned to exist and\noperate in a fixed and definite  relation by other causes, these\nlast again being conditioned by others, and so on to infinity.\nThe duration of our body therefore depends on the common order of\nnature, or the  constitution of things.  Now, however a thing may\nbe constituted, the adequate knowledge  of that thing is in God,\nin so far as he has the ideas of all things, and not in so far as\nhe has  the idea of the human body only (II. ix. Cor.).\nWherefore the knowledge of the duration  of our body is in God\nvery inadequate, in so far as he is only regarded as constituting\nthe  nature of the human mind; that is (II. xi. Cor.), this\nknowledge is very inadequate to our  mind.  Q.E.D.\n\nXXXI. We can only have a very inadequate knowledge of the\nduration of particular things  external to ourselves.\n\n>>>>>Proof--Every particular thing, like the human body, must be\nconditioned by another  particular thing to exist and operate in\na fixed and definite relation; this other particular  thing must\nlikewise be conditioned by a third, and so on to infinity (I.\nxxviii.).  As we have  shown in the foregoing proposition, from\nthis common property of particular things, we  have only a very\ninadequate knowledge of the duration of our body; we must draw a\nsimilar conclusion with regard to the duration of particular\nthings, namely, that we can only  have a very inadequate\nknowledge of the duration thereof.  Q.E.D.\n\n<<<<<Corollary--Hence it follows that all particular things are\ncontingent and perishable.   For we can have no adequate idea of\ntheir duration (by the last Prop.), and this is what we  must\nunderstand by the contingency and perishableness of things (I.\nxxxiii., Note i.).  For  (I. xxix.), except in this sense,\nnothing is contingent.\n\nXXXII. All ideas, in so far as they are referred to God, are\ntrue.\n\n>>>>>Proof--All ideas which are in God agree in every respect\nwith their objects (II. ii.  Cor.), therefore (I. Ax. vi.) they\nare all true.  Q.E.D.\n\nXXXII. There is nothing positive in ideas, which causes them to\nbe called false.\n\n>>>>>Proof--If this be denied, conceive, if possible, a positive\nmode of thinking, which  should constitute the distinctive\nquality of falsehood.  Such a mode of thinking cannot be  in God\n(II. xxxii.); external to God it cannot be or be conceived (I.\nxv.).  Therefore there  is nothing positive in ideas which causes\nthem to be called false.  Q.E.D.\n\nXXXIV. Every idea, which in us is absolute or adequate and\nperfect, is true.\n\n>>>>>Proof--When we say that an idea in us is adequate and\nperfect, we say, in other  words (II. xi. Cor.), that the idea is\nadequate and perfect in God, in so far as he constitutes  the\nessence of our mind; consequently (II. xxxii.), we say that such\nan idea is true.  Q.E.D.\n\nXXXV. Falsity consists in the privation of knowledge, which\ninadequate, fragmentary, or  confused ideas involve.\n\n>>>>>Proof--There is nothing positive in ideas, which causes them\nto be called false (II.  xxxiii.); but falsity cannot consist in\nsimple privation (for minds, not bodies, are said to err  and to\nbe mistaken), neither can it consist in absolute ignorance, for\nignorance and error  are not identical; wherefore it consists in\nthe privation of knowledge, which inadequate,  fragmentary, or\nconfused ideas involve.  Q.E.D.\n\n*****Note--In the note to II. xvii. I explained how error\nconsists in the privation of  knowledge, but in order to throw\nmore light on the subject I will give an example.  For  instance,\nmen are mistaken in thinking themselves free; their opinion is\nmade up of  consciousness of their own actions, and ignorance of\nthe causes by which they are  conditioned.  Their idea of\nfreedom, therefore, is simply their ignorance of any cause for\ntheir actions.  As for their saying that human actions depend on\nthe will, this is a mere  phrase without any idea to correspond\nthereto.  What the will is, and how it moves the  body, they none\nof them know; those who boast of such knowledge, and feign\ndwellings  and habitations for the soul, are wont to provoke\neither laughter or disgust.  So, again,  when we look at the sun,\nwe imagine that it is distant from us about two hundred feet;\nthis error does not lie solely in this fancy, but in the fact\nthat, while we thus imagine, we  do not know the sun's true\ndistance or the cause of the fancy.  For although we afterwards\nlearn, that the sun is distant from us more than six hundred of\nthe earth's diameters, we  none the less shall fancy it to be\nnear; for we do not imagine the sun as near us, because  we are\nignorant of its true distance, but because the modification of\nour body involves the  essence of the sun, in so far as our said\nbody is affected thereby.\n\nXXXVI. Inadequate and confused ideas follow by the same\nnecessity, as adequate or  clear and distinct ideas.\n\n>>>>>Proof--All ideas are in God (I. xv.), and in so far as they\nare referred to God are  true (II. xxxii.) and (II. vii. Cor.)\nadequate; therefore there are no ideas confused or  inadequate,\nexcept in respect to a particular mind (cf. II. xxiv. and\nxxviii.); therefore all  ideas, whether adequate or inadequate,\nfollow by the same necessity (II. vi.).  Q.E.D.\n\nXXXVII. That which is common to all (cf. Lemma II, above), and\nwhich is equally in a  part and in the whole, does not constitute\nthe essence of any particular thing.\n\n>>>>>Proof--If this be denied, conceive, if possible, that it\nconstitutes the essence of some  particular thing; for instance,\nthe essence of B.  Then (II. Def. ii.) it cannot without B\neither exist or be conceived; but this is against our hypothesis.\nTherefore it does not  appertain to B's essence, nor does it\nconstitute the essence of any particular thing.  Q.E.D.\n\nXXXVIII. Those things, which are common to all, and which are\nequally in a part and in  the whole, cannot be conceived except\nadequately.\n\n>>>>>Proof--Let A be something, which is common to all bodies,\nand which is equally  present in the part of any given body and\nin the whole.  I say A cannot be conceived except  adequately.\nFor the idea thereof in God will necessarily be adequate (II.\nvii. Cor.), both in  so far as God has the idea of the human\nbody, and also in so far as he has the idea of the  modifications\nof the human body, which (II. xvi., xxv., xxvii.) involve in part\nthe nature of  the human body and the nature of external bodies;\nthat is (II. xii., xiii.), the idea in God will  necessarily be\nadequate, both in so far as he constitutes the human mind, and in\nso far as  he has the ideas, which are in the human mind.\nTherefore the mind (II. xi. Cor.)  necessarily perceives A\nadequately, and has this adequate perception, both in so far as\nit  perceives itself, and in so far as it perceives its own or\nany external body, nor can A be  conceived in any other manner.\nQ.E.D.\n\n<<<<<Corollary--Hence it follows that there are certain ideas or\nnotions common to all  men; for (by Lemma ii.) all bodies agree\nin certain respects, which (by the foregoing Prop.)  must be\nadequately or clearly and distinctly perceived by all.\n\nXXXIX. That, which is common to and a property of the human body\nand such other  bodies as are wont to affect the human body, and\nwhich is present equally in each part of  either, or in the\nwhole, will be represented by an adequate idea in the mind.\n\n>>>>>Proof--If A be that, which is common to and a property of\nthe human body and  external bodies, and equally present in the\nhuman body and in the said external bodies, in  each part of each\nexternal body and in the whole, there will be an adequate idea of\nA in  God (II. vii. Cor.), both in so far as he has the idea of\nthe human body, and in so far as he  has the ideas of the given\nexternal bodies.  Let it now be granted, that the human body is\naffected by an external body through that, which it has in common\ntherewith, namely, A;  the idea of this modification will involve\nthe property A (II. xvi.), and therefore (II. vii.  Cor.) the\nidea of this modification, in so far as it involves the property\nA, will be adequate  in God, in so far as God is affected by the\nidea of the human body; that is (II. xiii.), in so  far as he\nconstitutes the nature of the human mind; therefore (II. xi.\nCor.) this idea is also  adequate in the human mind.  Q.E.D.\n\n<<<<<Corollary--Hence it follows that the mind is fitted to\nperceive adequately more  things, in proportion as its body has\nmore in common with other bodies.\n\nXL. Whatsoever ideas in the mind follow from ideas which are\ntherein adequate, are also  themselves adequate.\n\n>>>>>Proof--This proposition is self-evident.  For when we say\nthat an idea in the human  mind follows from ideas which are\ntherein adequate, we say, in other words (II. xi. Cor.),  that an\nidea is in the divine intellect, whereof God is the cause, not in\nso far as he is  infinite, nor in so far as he is affected by the\nideas of very many particular things, but only  in so far as he\nconstitutes the essence of the human mind.\n\n*****Note I--I have thus set forth the cause of those notions,\nwhich are common to all  men, and which form the basis of our\nratiocinations.  But there are other causes of certain  axioms or\nnotions, which it would be to the purpose to set forth by this\nmethod of ours; for  it would thus appear what notions are more\nuseful than others, and what notions have  scarcely any use at\nall.  Furthermore, we should see what notions are common to all\nmen,  and what notions are only clear and distinct to those who\nare unshackled by prejudice, and  we should detect those which\nare ill-founded.  Again we should discern whence the notions\ncalled \"secondary\" derived their origin, and consequently the\naxioms on which they are  founded, and other points of interest\nconnected with these questions.  But I have decided  to pass over\nthe subject here, partly because I have set it aside for another\ntreatise, partly  because I am afraid of wearying the reader by\ntoo great prolixity.  Nevertheless, in order  not to omit\nanything necessary to be known, I will briefly set down the\ncauses, whence are  derived the terms styled \"transcendental,\"\nsuch as Being, Thing, Something.  These terms  arose from the\nfact, that the human body, being limited, is only capable of\ndistinctly  forming a certain number of images (what an image is\nI explained in the II. xvii. note)  within itself at the same\ntime; if this number be exceeded, the images will begin to be\nconfused; if this number of images, of which the body is capable\nof forming distinctly  within itself, be largely exceeded, all\nwill become entirely confused one with another.  This  being so,\nit is evident (from II. Prop. xvii. Cor., and xviii.) that the\nhuman mind can  distinctly imagine as many things simultaneously,\nas its body can form images  simultaneously.  When the images\nbecome quite confused in the body, the mind also  imagines all\nbodies confusedly without any distinction, and will comprehend\nthem, as it  were, under one attribute, namely, under the\nattribute of Being, Thing, &c.  The same  conclusion can be drawn\nfrom the fact that images are not always equally vivid, and from\nother analogous causes, which there is no need to explain here;\nfor the purpose which we  have in view it is sufficient for us to\nconsider one only.  All may be reduced to this, that  these terms\nrepresent ideas in the highest degree confused.  From similar\ncauses arise those  notions, which we call \"general,\" such as\nman, horse, dog, &c.  They arise, to wit, from  the fact that so\nmany images, for instance, of men, are formed simultaneously in\nthe  human mind, that the powers of imagination break down, not\nindeed utterly, but to the  extent of the mind losing count of\nsmall differences between individuals (e.g. colour, size,  &c.)\nand their definite number, and only distinctly imagining that, in\nwhich all the  individuals, in so far as the body is affected by\nthem, agree; for that is the point, in which  each of the said\nindividuals chiefly affected the body; this the mind expresses by\nthe name  man, and this it predicates of an infinite number of\nparticular individuals.  For, as we have  said, it is unable to\nimagine the definite number of individuals.  We must, however,\nbear in  mind, that these general notions are not formed by all\nmen in the same way, but vary in  each individual according as\nthe point varies, whereby the body has been most often  affected\nand which the mind most easily imagines or remembers.  For\ninstance, those who  have most often regarded with admiration the\nstature of man, will by the name of man  understand an animal of\nerect stature; those who have been accustomed to regard some\nother attribute, will form a different general image of man, for\ninstance, that man is a  laughing animal, a two-footed animal\nwithout feathers, a rational animal, and thus, in other  cases,\neveryone will form general images of things according to the\nhabit of his body.\n\nIt is thus not to be wondered at, that among philosophers, who\nseek to explain things in  nature merely by the images formed of\nthem, so many controversies should have arisen.\n\n*****Note II--From all that has been said above it is clear, that\nwe, in many cases,  perceive and form our general notions:--(1.)\nFrom particular things represented to our  intellect\nfragmentarily, confusedly, and without order through our senses\n(II. xxix. Cor.);  I have settled to call such perceptions by the\nname of knowledge from the mere  suggestions of experience.  (2.)\nFrom symbols, e.g., from the fact of having read or heard\ncertain words we remember things and form certain ideas\nconcerning them, similar to those  through which we imagine\nthings (II. xviii. Note).  I shall call both these ways of\nregarding  things \"knowledge of the first kind,\" \"opinion,\" or\n\"imagination.\"  (3.) From the fact that  we have notions common\nto all men, and adequate ideas of the properties of things (II.\nxxxviii. Cor., xxxix. and Cor., and xl.); this I call \"reason\"\nand \"knowledge of the second  kind.\"  Besides these two kinds of\nknowledge, there is, as I will hereafter show, a third  kind of\nknowledge, which we will call intuition.  This kind of knowledge\nproceeds from an  adequate idea of the absolute essence of\ncertain attributes of God to the adequate  knowledge of the\nessence of things.  I will illustrate all three kinds of\nknowledge by a  single example.  Three numbers are given for\nfinding a fourth, which shall be to the third  as the second is\nto the first.  Tradesmen without hesitation multiply the second\nby the third,  and divide the product by the first; either\nbecause they have not forgotten the rule which  they received\nfrom a master without any proof, or because they have often made\ntrial of  it with simple numbers, or by virtue of the proof of\nthe nineteenth proposition of the  seventh book of Euclid,\nnamely, in virtue of the general property of proportionals.\n\nBut with very simple numbers there is no need of this.  For\ninstance, one, two, three being  given, everyone can see that the\nfourth proportional is six; and this is much clearer, because\nwe infer the fourth number from an intuitive grasping of the\nratio, which the first bears to  the second.\n\nXLI.  Knowledge of the first kind is the only source of falsity,\nknowledge of the second  and third kinds is necessarily true.\n\n>>>>>Proof--To knowledge of the first kind we have (in the\nforegoing note) assigned all  those ideas, which are inadequate\nand confused; therefore this kind of knowledge is the  only\nsource of falsity (II. xxxv.).  Furthermore, we assigned to the\nsecond and third kinds  of knowledge those ideas which are\nadequate; therefore these kinds are necessarily true (II.\nxxxiv.).  Q.E.D.\n\nXLII. Knowledge of the second and third kinds, not knowledge of\nthe first kind, teaches us  to distinguish the true from the\nfalse.\n\n>>>>>Proof--This proposition is self-evident.  He, who knows how\nto distinguish between  true and false, must have an adequate\nidea of true and false.  That is (II. xl., note ii.), he  must\nknow the true and the false by the second or third kind of\nknowledge.\n\nXLIII. He, who has a true idea, simultaneously knows that he has\na true idea, and cannot  doubt of the truth of the thing\nperceived.\n\n>>>>>Proof--A true idea in us is an idea which is adequate in\nGod, in so far as he is  displayed through the nature of the\nhuman mind (II. xi. Cor.).  Let us suppose that there is  in God,\nin so far as he is displayed through the human mind, an adequate\nidea, A.  The  idea of this idea must also necessarily be in God,\nand be referred to him in the same way as  the idea A (by II.\nxx., whereof the proof is of universal application).  But the\nidea A is  supposed to be referred to God, in so far as he is\ndisplayed through the human mind;  therefore, the idea of the\nidea A must be referred to God in the same manner; that is (by\nII. xi. Cor.), the adequate idea of the idea A will be in the\nmind, which has the adequate  idea A; therefore he, who has an\nadequate idea or knows a thing truly (II. xxxiv.), must at  the\nsame time have an adequate idea or true knowledge of his\nknowledge; that is,  obviously, he must be assured.  Q.E.D.\n\n*****Note--I explained in the note to II. xxi. what is meant by\nthe idea of an idea; but we  may remark that the foregoing\nproposition is in itself sufficiently plain.  No one, who has a\ntrue idea, is ignorant that a true idea involves the highest\ncertainty.  For to have a true idea  is only another expression\nfor knowing a thing perfectly, or as well as possible.  No one,\nindeed, can doubt of this, unless he thinks that an idea is\nsomething lifeless, like a picture  on a panel, and not a mode of\nthinking--namely, the very act of understanding.  And who,  I\nask, can know that he understands anything, unless he do first\nunderstand it?  In other  words, who can know that he is sure of\na thing, unless he be first sure of that thing?   Further, what\ncan there be more clear, and more certain, than a true idea as a\nstandard  of truth?  Even as light displays both itself and\ndarkness, so is truth a standard both of  itself and of falsity.\n\nI think I have thus sufficiently answered these\nquestions--namely, if a true idea is  distinguished from a false\nidea, only in so far as it is said to agree with its object, a\ntrue  idea has no more reality or perfection than a false idea\n(since the two are only distinguished  by an extrinsic mark);\nconsequently, neither will a man who has a true idea have any\nadvantage over him who has only false ideas.  Further, how comes\nit that men have false  ideas?  Lastly, how can anyone be sure,\nthat he has ideas which agree with their objects?   These\nquestions, I repeat, I have, in my opinion, sufficiently\nanswered.  The difference  between a true idea and a false idea\nis plain:  from what was said in II. xxxv., the former is\nrelated to the latter as being is to not-being.  The causes of\nfalsity I have set forth very  clearly in II. xix. and II. xxxv.\nwith the note.  From what is there stated, the difference\nbetween a man who has true ideas, and a man who has only false\nideas, is made apparent.   As for the last question--as to how a\nman can be sure that he has ideas that agree with  their objects,\nI have just pointed out, with abundant clearness, that his\nknowledge arises  from the simple fact, that he has an idea which\ncorresponds with its object--in other words,  that truth is its\nown standard.  We may add that our mind, in so far as it\nperceives things  truly, is part of the infinite intellect of God\n(II. xi. Cor.); therefore, the clear and distinct  ideas of the\nmind are as necessarily true as the ideas of God.\n\nXLIV. It is not in the nature of reason to regard things as\ncontingent, but as necessary.\n\n>>>>>Proof--It is in the nature of reason to perceive things\ntruly (II. xli.), namely (I. Ax.  vi.), as they are in\nthemselves--that is (I. xxix.), not as contingent, but as\nnecessary.   Q.E.D.\n\n<<<<<Corollary I--Hence it follows, that it is only through our\nimagination that we  consider things, whether in respect to the\nfuture or the past, as contingent.\n\n*****Note--How this way of looking at things arises, I will\nbriefly explain.  We have  shown above (II. xvii. and Cor.) that\nthe mind always regards things as present to itself,  even though\nthey be not in existence, until some causes arise which exclude\ntheir existence  and presence.  Further (II. xviii.), we showed\nthat, if the human body has once been  affected by two external\nbodies simultaneously, the mind, when it afterwards imagines one\nof the said external bodies, will straightway remember the\nother--that is, it will regard both  as present to itself, unless\nthere arise causes which exclude their existence and presence.\nFurther, no one doubts that we imagine time, from the fact that\nwe imagine bodies to be  moved some more slowly than others, some\nmore quickly, some at equal speed.  Thus,  let us suppose that a\nchild yesterday saw Peter for the first time in the morning, Paul\nat  noon, and Simon in the evening; then, that today he again\nsees Peter in the morning.  It is  evident, from II. Prop.\nxviii., that, as soon as he sees the morning light, he will\nimagine that  the sun will traverse the same parts of the sky, as\nit did when he saw it on the preceding  day; in other words, he\nwill imagine a complete day, and, together with his imagination\nof  the morning, he will imagine Peter; with noon, he will\nimagine Paul; and with evening, he  will imagine Simon--that is,\nhe will imagine the existence of Paul and Simon in relation to a\nfuture time; on the other hand, if he sees Simon in the evening,\nhe will refer Peter and Paul  to a past time, by imagining them\nsimultaneously with the imagination of a past time.  If it\nshould at any time happen, that on some other evening the child\nshould see James instead  of Simon, he will, on the following\nmorning, associate with his imagination of evening  sometimes\nSimon, sometimes James, not both together:  for the child is\nsupposed to have  seen, at evening, one or other of them, not\nboth together.  His imagination will therefore  waver; and, with\nthe imagination of future evenings, he will associate first one,\nthen the  other--that is, he will imagine them in the future,\nneither of them as certain, but both as  contingent.  This\nwavering of the imagination will be the same, if the imagination\nbe  concerned with things which we thus contemplate, standing in\nrelation to time past or time  present:  consequently, we may\nimagine things as contingent, whether they be referred to  time\npresent, past, or future.\n\n<<<<<Corollary II--It is in the nature of reason to perceive\nthings under a certain form of  eternity (sub quadam aeternitatis\nspecie).\n\n>>>>>Proof--It is in the nature of reason to regard things, not\nas contingent, but as  necessary (II. xliv.).  Reason perceives\nthis necessity of things (II. xli.) truly--that is (I. Ax.  vi.),\nas it is in itself.  But (I. xvi.) this necessity of things is\nthe very necessity of the eternal  nature of God; therefore, it\nis in the nature of reason to regard things under this form of\neternity.  We may add that the bases of reason are the notions\n(II. xxxviii.), which answer  to things common to all, and which\n(II. xxxvii.) do not answer to the essence of any  particular\nthing:  which must therefore be conceived without any relation to\ntime, under a  certain form of eternity.\n\nXLV. Every idea of every body, or of every particular thing\nactually existing, necessarily  involves the eternal and infinite\nessence of God.\n\n>>>>>Proof--The idea of a particular thing actually existing\nnecessarily involves both the  existence and the essence of the\nsaid thing (II. viii.).  Now particular things cannot be\nconceived without God (I. xv.); but, inasmuch as (II. vi.) they\nhave God for their cause,  in so far as he is regarded under the\nattribute of which the things in question are modes,  their ideas\nmust necessarily involve (I. Ax. iv.) the conception of the\nattributes of those  ideas--that is (I. vi.), the eternal and\ninfinite essence of God.  Q.E.D.\n\n*****Note--By existence I do not here mean duration--that is,\nexistence in so far as it is  conceived abstractedly, and as a\ncertain form of quantity.  I am speaking of the very nature  of\nexistence, which is assigned to particular things, because they\nfollow in infinite numbers  and in infinite ways from the eternal\nnecessity of God's nature (I. xvi.).  I am speaking, I  repeat,\nof the very existence of particular things, in so far as they are\nin God.  For although  each particular thing be conditioned by\nanother particular thing to exist in a given way, yet  the force\nwhereby each particular thing perseveres in existing follows from\nthe eternal  necessity of God's nature (cf. I. xxiv. Cor.).\n\nXLVI.  The knowledge of the eternal and infinite essence of God\nwhich every idea  involves is adequate and perfect.\n\n>>>>>Proof--The proof of the last proposition is universal; and\nwhether a thing be  considered as a part or a whole, the idea\nthereof, whether of the whole or of a part (by  the last Prop.),\nwill involve God's eternal and infinite essence.  Wherefore,\nthat, which  gives knowledge of the eternal and infinite essence\nof God, is common to all, and is equally  in the part and in the\nwhole; therefore (II. xxxviii.) this knowledge will be adequate.\n Q.E.D.\n\nXLVII. The human mind has an adequate knowledge of the eternal\nand infinite essence of  God.\n\n>>>>>Proof--The human mind has ideas (II. xxii.), from which (II.\nxxiii.) it perceives  itself and its own body (II. xix.) and\nexternal bodies (II. xvi. Cor. i. and II. xvii.) as actually\nexisting; therefore (II. xlv. and xlvi.) it has an adequate\nknowledge of the eternal and  infinite essence of God.  Q.E.D.\n\n*****Note--Hence we see, that the infinite essence and the\neternity of God are known to  all.  Now as all things are in God,\nand are conceived through God, we can from this  knowledge infer\nmany things, which we may adequately know, and we may form that\nthird  kind of knowledge of which we spoke in the note to II.\nxl., and of the excellence and use of  which we shall have\noccasion to speak in Part V.  Men have not so clear a knowledge\nof  God as they have of general notions, because they are unable\nto imagine God as they do  bodies, and also because they have\nassociated the name God with images of things that  they are in\nthe habit of seeing, as indeed they can hardly avoid doing,\nbeing, as they are,  men, and continually affected by external\nbodies.  Many errors, in truth, can be traced to  this head,\nnamely, that we do not apply names to things rightly.  For\ninstance, when a man  says that the lines drawn from the centre\nof a circle to its circumference are not equal, he  then, at all\nevents, assuredly attaches a meaning to the word circle different\nfrom that  assigned by mathematicians.  So again, when men make\nmistakes in calculation, they have  one set of figures in their\nmind, and another on the paper.  If we could see into their\nminds,  they do not make a mistake; they seem to do so, because\nwe think, that they have the same  numbers in their mind as they\nhave on the paper.  If this were not so, we should not  believe\nthem to be in error, any more than I thought that a man was in\nerror, whom I lately  heard exclaiming that his entrance hall had\nflown into a neighbour's hen, for his meaning  seemed to me\nsufficiently clear.  Very many controversies have arisen from the\nfact, that  men do not rightly explain their meaning, or do not\nrightly interpret the meaning of others.   For, as a matter of\nfact, as they flatly contradict themselves, they assume now one\nside,  now another, of the argument, so as to oppose the\nopinions, which they consider mistaken  and absurd in their\nopponents.\n\nXLVIII. In the mind there is no absolute or free will; but the\nmind is determined to wish  this or that by a cause, which has\nalso been determined by another cause, and this last by  another\ncause, and so on to infinity.\n\n>>>>>Proof--The mind is a fixed and definite mode of thought (II.\nxi.), therefore it cannot  be the free cause of its actions (I.\nxvii. Cor. ii.); in other words, it cannot have an absolute\nfaculty of positive or negative volition; but (by I. xxviii.) it\nmust be determined by a cause,  which has also been determined by\nanother cause, and this last by another, &c.  Q.E.D.\n\n*****Note--In the same way it is proved, that there is in the\nmind no absolute faculty of  understanding, desiring, loving, &c.\nWhence it follows, that these and similar faculties are  either\nentirely fictitious, or are merely abstract and general terms,\nsuch as we are  accustomed to put together from particular\nthings.  Thus the intellect and the will stand in  the same\nrelation to this or that idea, or this or that volition, as\n\"lapidity\" to this or that  stone, or as \"man\" to Peter and\nPaul.  The cause which leads men to consider themselves  free has\nbeen set forth in the Appendix to Part I.  But, before I proceed\nfurther, I would  here remark that, by the will to affirm and\ndecide, I mean the faculty, not the desire.  I  mean, I repeat,\nthe faculty, whereby the mind affirms or denies what is true or\nfalse, not  the desire, wherewith the mind wishes for or turns\naway from any given thing.  After we  have proved, that these\nfaculties of ours are general notions, which cannot be\ndistinguished  from the particular instances on which they are\nbased, we must inquire whether volitions  themselves are anything\nbesides the ideas of things.  We must inquire, I say, whether\nthere  is in the mind any affirmation or negation beyond that,\nwhich the idea, in so far as it is an  idea, involves.  On which\nsubject see the following proposition, and II. Def. iii., lest\nthe  idea of pictures should suggest itself.  For by ideas I do\nnot mean images such as are  formed at the back of the eye, or in\nthe midst of the brain, but the conceptions of thought.\n\nXLIX. There is in the mind no volition or affirmation and\nnegation, save that which an  idea, inasmuch as it is an idea,\ninvolves.\n\n>>>>>Proof--There is in the mind no absolute faculty of positive\nor negative volition, but  only particular volitions, namely,\nthis or that affirmation, and this or that negation.  Now let  us\nconceive a particular volition, namely, the mode of thinking\nwhereby the mind affirms,  that the three interior angles of a\ntriangle are equal to two right angles.  This affirmation\ninvolves the conception or idea of a triangle, that is, without\nthe idea of a triangle it cannot  be conceived.  It is the same\nthing to say, that the concept A must involve the concept B,  as\nit is to say, that A cannot be conceived without B.  Further,\nthis affirmation cannot be  made (II. Ax. iii.) without the idea\nof a triangle.  Therefore, this affirmation can neither be  nor\nbe conceived, without the idea of a triangle.  Again, this idea\nof a triangle must involve  this same affirmation, namely, that\nits three interior angles are equal to two right angles.\nWherefore, and vice versa, this idea of a triangle can neither be\nnor be conceived without  this affirmation, therefore, this\naffirmation belongs to the essence of the idea of a triangle,\nand is nothing besides.  What we have said of this volition\n(inasmuch as we have selected  it at random) may be said of any\nother volition, namely, that it is nothing but an idea.   Q.E.D.\n\n<<<<<Corollary--Will and understanding are one and the same.\n\n>>>>>Proof--Will and understanding are nothing beyond the\nindividual volitions and ideas  (II. xlviii. and note).  But a\nparticular volition and a particular idea are one and the same\n(by the foregoing Prop.); therefore, will and understanding are\none and the same.  Q.E.D.\n\n*****Note--We have thus removed the cause which is commonly\nassigned for error.  For  we have shown above, that falsity\nconsists solely in the privation of knowledge involved in  ideas\nwhich are fragmentary and confused.  Wherefore, a false idea,\ninasmuch as it is false,  does not involve certainty.  When we\nsay, then, that a man acquiesces in what is false, and  that he\nhas no doubts on the subject, we do not say that he is certain,\nbut only that he does  not doubt, or that he acquiesces in what\nis false, inasmuch as there are no reasons, which  should cause\nhis imagination to waver (see II. xliv. note).  Thus, although\nthe man be  assumed to acquiesce in what is false, we shall never\nsay that he is certain.  For by certainty  we mean something\npositive (II. xliii. and note), not merely the absence of doubt.\n\nHowever, in order that the foregoing proposition may be fully\nexplained, I will draw  attention to a few additional points, and\nI will furthermore answer the objections which  may be advanced\nagainst our doctrine.  Lastly, in order to remove every scruple,\nI have  thought it worth while to point out some of the\nadvantages, which follow therefrom.  I say  \"some,\" for they will\nbe better appreciated from what we shall set forth in the fifth\npart.\n\nI begin, then, with the first point, and warn my readers to make\nan accurate distinction  between an idea, or conception of the\nmind, and the images of things which we imagine.   It is further\nnecessary that they should distinguish between idea and words,\nwhereby we  signify things.  These three--namely, images, words,\nand ideas--are by many persons either  entirely confused\ntogether, or not distinguished with sufficient accuracy or care,\nand hence  people are generally in ignorance, how absolutely\nnecessary is a knowledge of this doctrine  of the will, both for\nphilosophic purposes and for the wise ordering of life.  Those\nwho  think that ideas consist in images which are formed in us by\ncontact with external bodies,  persuade themselves that the ideas\nof those things, whereof we can form no mental picture,  are not\nideas, but only figments, which we invent by the free decree of\nour will; they thus  regard ideas as though they were inanimate\npictures on a panel, and, filled with this  misconception, do not\nsee that an idea, inasmuch as it is an idea, involves an\naffirmation or  negation.  Again, those who confuse words with\nideas, or with the affirmation which an  idea involves, think\nthat they can wish something contrary to what they feel, affirm,\nor  deny.  This misconception will easily be laid aside by one,\nwho reflects on the nature of  knowledge, and seeing that it in\nno wise involves the conception of extension, will therefore\nclearly understand, that an idea (being a mode of thinking) does\nnot consist in the image of  anything, nor in words.  The essence\nof words and images is put together by bodily  motions, which in\nno wise involve the conception of thought.\n\nThese few words on this subject will suffice:  I will therefore\npass on to consider the  objections, which may be raised against\nour doctrine.  Of these, the first is advanced by  those, who\nthink that the will has a wider scope than the understanding, and\nthat therefore  it is different therefrom.  The reason for their\nholding the belief, that the will has wider  scope than the\nunderstanding, is that they assert, that they have no need of an\nincrease in  their faculty of assent, that is of affirmation or\nnegation, in order to assent to an infinity of  things which we\ndo not perceive, but that they have need of an increase in their\nfaculty of  understanding.  The will is thus distinguished from\nthe intellect, the latter being finite and  the former infinite.\nSecondly, it may be objected that experience seems to teach us\nespecially clearly, that we are able to suspend our judgment\nbefore assenting to things  which we perceive; this is confirmed\nby the fact that no one is said to be deceived, in so  far as he\nperceives anything, but only in so far as he assents or\ndissents.\n\nFor instance, he who feigns a winged horse, does not therefore\nadmit that a winged horse  exists; that is, he is not deceived,\nunless he admits in addition that a winged horse does  exist.\nNothing therefore seems to be taught more clearly by experience,\nthan that the will  or faculty of assent is free and different\nfrom the faculty of understanding.  Thirdly, it may  be objected\nthat one affirmation does not apparently contain more reality\nthan another; in  other words, that we do not seem to need for\naffirming, that what is true is true, any  greater power than for\naffirming, that what is false is true.  We have, however, seen\nthat  one idea has more reality or perfection than another, for\nas objects are some more  excellent than others, so also are the\nideas of them some more excellent than others; this  also seems\nto point to a difference between the understanding and the will.\nFourthly, it  may be objected, if man does not act from free\nwill, what will happen if the incentives to  action are equally\nbalanced, as in the case of Buridan's ass?  Will he perish of\nhunger and  thirst?  If I say that he would not, he would then\ndetermine his own action, and would  consequently possess the\nfaculty of going and doing whatever he liked.  Other objections\nmight also be raised, but, as I am not bound to put in evidence\neverything that anyone may  dream, I will only set myself to the\ntask of refuting those I have mentioned, and that as  briefly as\npossible.\n\nTo the first objection I answer, that I admit that the will has a\nwider scope than the  understanding, if by the understanding be\nmeant only clear and distinct ideas; but I deny  that the will\nhas a wider scope than the perceptions, and the faculty of\nforming  conceptions; nor do I see why the faculty of volition\nshould be called infinite, any more  than the faculty of feeling:\nfor, as we are able by the same faculty of volition to affirm an\ninfinite number of things (one after the other, for we cannot\naffirm an infinite number  simultaneously), so also can we, by\nthe same faculty of feeling, feel or perceive (in  succession) an\ninfinite number of bodies.  If it be said that there is an\ninfinite number of  things which we cannot perceive, I answer,\nthat we cannot attain to such things by any  thinking, nor,\nconsequently, by any faculty of volition.  But, it may still be\nurged, if God  wished to bring it about that we should perceive\nthem, he would be obliged to endow us  with a greater faculty of\nperception, but not a greater faculty of volition than we have\nalready.  This is the same as to say that, if God wished to bring\nit about that we should  understand an infinite number of other\nentities, it would be necessary for him to give us a  greater\nunderstanding, but not a more universal idea of entity than that\nwhich we have  already, in order to grasp such infinite entities.\nWe have shown that will is a universal  entity or idea, whereby\nwe explain all particular volitions--in other words, that which\nis  common to all such volitions.\n\nAs, then, our opponents maintain that this idea, common or\nuniversal to all volitions, is a  faculty, it is little to be\nwondered at that they assert, that such a faculty extends itself\ninto  the infinite, beyond the limits of the understanding:  for\nwhat is universal is predicated alike  of one, of many, and of an\ninfinite number of individuals.\n\nTo the second objection I reply by denying, that we have a free\npower of suspending  our judgment:  for, when we say that anyone\nsuspends his judgment, we merely mean that  he sees, that he does\nnot perceive the matter in question adequately.  Suspension of\njudgment is, therefore, strictly speaking, a perception, and not\nfree will.  In order to  illustrate the point, let us suppose a\nboy imagining a horse, and perceive nothing else.   Inasmuch as\nthis imagination involves the existence of the horse (II. xvii.\nCor.), and the boy  does not perceive anything which would\nexclude the existence of the horse, he will  necessarily regard\nthe horse as present:  he will not be able to doubt of its\nexistence,  although he be not certain thereof.  We have daily\nexperience of such a state of things in  dreams; and I do not\nsuppose that there is anyone, who would maintain that, while he\nis  dreaming, he has the free power of suspending his judgment\nconcerning the things in his  dream, and bringing it about that\nhe should not dream those things, which he dreams that  he sees;\nyet it happens, notwithstanding, that even in dreams we suspend\nour judgment,  namely, when we dream that we are dreaming.\n\nFurther, I grant that no one can be deceived, so far as actual\nperception extends--that is, I  grant that the mind's\nimaginations, regarded in themselves, do not involve error (II.\nxvii.  note); but I deny, that a man does not, in the act of\nperception, make any affirmation.  For  what is the perception of\na winged horse, save affirming that a horse has wings?  If the\nmind could perceive nothing else but the winged horse, it would\nregard the same as present  to itself:  it would have no reasons\nfor doubting its existence, nor any faculty of dissent,  unless\nthe imagination of a winged horse be joined to an idea which\nprecludes the  existence of the said horse, or unless the mind\nperceives that the idea which it possess of a  winged horse is\ninadequate, in which case it will either necessarily deny the\nexistence of  such a horse, or will necessarily be in doubt on\nthe subject.\n\nI think that I have anticipated my answer to the third objection,\nnamely, that the will is  something universal which is predicated\nof all ideas, and that it only signifies that which is  common to\nall ideas, namely, an affirmation, whose adequate essence must,\ntherefore, in  so far as it is thus conceived in the abstract, be\nin every idea, and be, in this respect alone,  the same in all,\nnot in so far as it is considered as constituting the idea's\nessence:  for, in  this respect, particular affirmations differ\none from the other, as much as do ideas.  For  instance, the\naffirmation which involves the idea of a circle, differs from\nthat which  involves the idea of a triangle, as much as the idea\nof a circle differs from the idea of a  triangle.\n\nFurther, I absolutely deny, that we are in need of an equal power\nof thinking, to affirm  that that which is true is true, and to\naffirm that that which is false is true.  These two\naffirmations, if we regard the mind, are in the same relation to\none another as being and  not-being; for there is nothing\npositive in ideas, which constitutes the actual reality of\nfalsehood (II. xxxv. note, and xlvii. note).\n\nWe must therefore conclude, that we are easily deceived, when we\nconfuse universals with  singulars, and the entities of reason\nand abstractions with realities.  As for the fourth  objection, I\nam quite ready to admit, that a man placed in the equilibrium\ndescribed  (namely, as perceiving nothing but hunger and thirst,\na certain food and a certain drink,  each equally distant from\nhim) would die of hunger and thirst.  If I am asked, whether such\n an one should not rather be considered an ass than a man; I\nanswer, that I do not know,  neither do I know how a man should\nbe considered, who hangs himself, or how we should  consider\nchildren, fools, madmen, &c.\n\nIt remains to point out the advantages of a knowledge of this\ndoctrine as bearing on  conduct, and this may be easily gathered\nfrom what has been said.  The doctrine is good,\n\n1. Inasmuch as it teaches us to act solely according to the\ndecree of God, and to be  partakers in the Divine nature, and so\nmuch the more, as we perform more perfect actions  and more and\nmore understand God.  Such a doctrine not only completely\ntranquilizes our  spirit, but also shows us where our highest\nhappiness or blessedness is, namely, solely in  the knowledge of\nGod, whereby we are led to act only as love and piety shall bid\nus.  We  may thus clearly understand, how far astray from a true\nestimate of virtue are those who  expect to be decorated by God\nwith high rewards for their virtue, and their best actions,  as\nfor having endured the direst slavery; as if virtue and the\nservice of God were not in  itself happiness and perfect freedom.\n\n2. Inasmuch as it teaches us, how we ought to conduct ourselves\nwith respect to the gifts  of fortune, or matters which are not\nin our power, and do not follow from our nature.  For  it shows\nus, that we should await and endure fortune's smiles or frowns\nwith an equal  mind, seeing that all things follow from the\neternal decree of God by the same necessity,  as it follows from\nthe essence of a triangle, that the three angles are equal to two\nright  angles.\n\n3. This doctrine raises social life, inasmuch as it teaches us to\nhate no man, neither to  despise, to deride, to envy, or to be\nangry with any.  Further, as it tells us that each should  be\ncontent with his own, and helpful to his neighbour, not from any\nwomanish pity,  favour, or superstition, but solely by the\nguidance of reason, according as the time and  occasion demand,\nas I will show in Part III.\n\n4. Lastly, this doctrine confers no small advantage on the\ncommonwealth; for it teaches  how citizens should be governed and\nled, not so as to become slaves, but so that they may  freely do\nwhatsoever things are best.\n\nI have thus fulfilled the promise made at the beginning of this\nnote, and I thus bring the  second part of my treatise to a\nclose.  I think I have therein explained the nature and\nproperties of the human mind at sufficient length, and,\nconsidering the difficulty of the  subject, with sufficient\nclearness.  I have laid a foundation, whereon may be raised many\nexcellent conclusions of the highest utility and most necessary\nto be known, as will, in  what follows, be partly made plain.\n\n\n\n\n\nEND OF PART II","title":"Ethics \u2014 Part 2","tradition":"philosophy-ethics","translated_text":null,"word_count":18057}
