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constitutes the nature of the human mind; therefore (II。 xi。



Cor。) this idea is also  adequate in the human mind。  Q。E。D。







ProofThis proposition is self…evident。  For when we say



that an idea in the human  mind follows from ideas which are



therein adequate; we say; in other words (II。 xi。 Cor。);  that an



idea is in the divine intellect; whereof God is the cause; not in



so far as he is  infinite; nor in so far as he is affected by the



ideas of very many particular things; but only  in so far as he



constitutes the essence of the human mind。







*****Note II have thus set forth the cause of those notions;



which are common to all  men; and which form the basis of our



ratiocinations。  But there are other causes of certain  axioms or



notions; which it would be to the purpose to set forth by this



method of ours; for  it would thus appear what notions are more



useful than others; and what notions have  scarcely any use at



all。  Furthermore; we should see what notions are common to all



men;  and what notions are only clear and distinct to those who



are unshackled by prejudice; and  we should detect those which



are ill…founded。  Again we should discern whence the notions 



called 〃secondary〃 derived their origin; and consequently the



axioms on which they are  founded; and other points of interest



connected with these questions。  But I have decided  to pass over



the subject here; partly because I have set it aside for another



treatise; partly  because I am afraid of wearying the reader by



too great prolixity。  Nevertheless; in order  not to omit



anything necessary to be known; I will briefly set down the



causes; whence are  derived the terms styled 〃transcendental;〃



such as Being; Thing; Something。  These terms  arose from the



fact; that the human body; being limited; is only capable of



distinctly  forming a certain number of images (what an image is



I explained in the II。 xvii。 note)  within itself at the same



time; if this number be exceeded; the images will begin to be 



confused; if this number of images; of which the body is capable



of forming distinctly  within itself; be largely exceeded; all



will become entirely confused one with another。  This  being so;



it is evident (from II。 Prop。 xvii。 Cor。; and xviii。) that the



human mind can  distinctly imagine as many things simultaneously;



as its body can form images  simultaneously。  When the images



become quite confused in the body; the mind also  imagines all



bodies confusedly without any distinction; and will comprehend



them; as it  were; under one attribute; namely; under the



attribute of Being; Thing; &c。  The same  conclusion can be drawn



from the fact that images are not always equally vivid; and from 



other analogous causes; which there is no need to explain here;



for the purpose which we  have in view it is sufficient for us to



consider one only。  All may be reduced to this; that  these terms



represent ideas in the highest degree confused。  From similar



causes arise those  notions; which we call 〃general;〃 such as



man; horse; dog; &c。  They arise; to wit; from  the fact that so



many images; for instance; of men; are formed simultaneously in



the  human mind; that the powers of imagination break down; not



indeed utterly; but to the  extent of the mind losing count of



small differences between individuals (e。g。 colour; size;  &c。)



and their definite number; and only distinctly imagining that; in



which all the  individuals; in so far as the body is affected by



them; agree; for that is the point; in which  each of the said



individuals chiefly affected the body; this the mind expresses by



the name  man; and this it predicates of an infinite number of



particular individuals。  For; as we have  said; it is unable to



imagine the definite number of individuals。  We must; however;



bear in  mind; that these general notions are not formed by all



men in the same way; but vary in  each individual according as



the point varies; whereby the body has been most often  affected



and which the mind most easily imagines or remembers。  For



instance; those who  have most often regarded with admiration the



stature of man; will by the name of man  understand an animal of



erect stature; those who have been accustomed to regard some 



other attribute; will form a different general image of man; for



instance; that man is a  laughing animal; a two…footed animal



without feathers; a rational animal; and thus; in other  cases;



everyone will form general images of things according to the



habit of his body。







It is thus not to be wondered at; that among philosophers; who



seek to explain things in  nature merely by the images formed of



them; so many controversies should have arisen。







*****Note IIFrom all that has been said above it is clear; that



we; in many cases;  perceive and form our general notions:(1。)



From particular things represented to our  intellect



fragmentarily; confusedly; and without order through our senses



(II。 xxix。 Cor。);  I have settled to call such perceptions by the



name of knowledge from the mere  suggestions of experience。  (2。)



From symbols; e。g。; from the fact of having read or heard 



certain words we remember things and form certain ideas



concerning them; similar to those  through which we imagine



things (II。 xviii。 Note)。  I shall call both these ways of



regarding  things 〃knowledge of the first kind;〃 〃opinion;〃 or



〃imagination。〃  (3。) From the fact that  we have notions common



to all men; and adequate ideas of the properties of things (II。 



xxxviii。 Cor。; xxxix。 and Cor。; and xl。); this I call 〃reason〃



and 〃knowledge of the second  kind。〃  Besides these two kinds of



knowledge; there is; as I will hereafter show; a third  kind of



knowledge; which we will call intuition。  This kind of knowledge



proceeds from an  adequate idea of the absolute essence of



certain attributes of God to the adequate  knowledge of the



essence of things。  I will illustrate all three kinds of



knowledge by a  single example。  Three numbers are given for



finding a fourth; which shall be to the third  as the second is



to the first。  Tradesmen without hesitation multiply the second



by the third;  and divide the product by the first; either



because they have not forgotten the rule which  they received



from a master without any proof; or because they have often made



trial of  it with simple numbers; or by virtue of the proof of



the nineteenth proposition of the  seventh book of Euclid;



namely; in virtue of the general property of proportionals。







But with very simple numbers there is no need of this。  For



instance; one; two; three being  given; everyone can see that the



fourth proportional is six; and this is much clearer; because 



we infer the fourth number from an intuitive grasping of the



ratio; which the first bears to  the second。







XLI。  Knowledge of the first kind is the only source of falsity;



knowledge of the second  and third kinds is necessarily true。







》》》》》ProofTo knowledge of the first kind we have (in the



foregoing note) assigned all  those ideas; which are inadequate



and confused; therefore this kind of knowledge is the  only



source of falsity (II。 xxxv。)。  Furthermore; we assigned to the



second and third kinds  of knowledge those ideas which are



adequate; therefore these kinds are necessarily true (II。 



xxxiv。)。  Q。E。D。







XLII。 Knowledge of the second and third kinds; not knowledge of



the first kind; teaches us  to distinguish the true from the



false。







》》》》》ProofThis proposition is self…evident。  He; who knows how



to distinguish between  true and false; must have an adequate



idea of true and false。  That is (II。 xl。; note ii。); he  must



know the true and the false by the second or third kind of



knowledge。







XLIII。 He; who has a true idea; simultaneously knows that he has



a true idea; and cannot  doubt of the truth of the thing



perceived。







》》》》》ProofA true idea in us is an idea which is adequate in



God; in so far as he is  displayed through the nature of the



human mind (II。 xi。 Cor。)。  Let us suppose that there is  in God;




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