The original of tliis book is in tine Cornell University Library. There are no known copyright restrictions in the United States on the use of the text. http://www.archive.org/details/cu31924031223435 Cornell University Library arV13059 Theories of knowledge historically consi 3 1924 031 223 435 olin.anx THEORIES OF KNOWLEDGE HISTORICALLY CONSIDERED WITH SPECIAL REFERENCE TO SCEPTICISM AND BELIEF BY Rev. W. D. Wilson, D.D., LL.D., L.H.D. Professor Emeritus in Cornell University, Author of Psychology— Comparative AND Human, Text-Book of Logic, Introduction to the Study OF Metaphysics, Etc., Etc., Etc., Etc. SYRACUSE AND AUBURN N. Y. WOLCOTT & WEST 18S9 Copyright, 1889, By W. D. Wilson. TO MY FeRMER PaPILS IN HOBART COLLEGE FROM 1850 to 1868 AND IN CORNELL UNIVERSITY FROM 1868 to 1886 These i2EeraRES, the result of much study and thought for their bakes Are Affectionately Dedicated BY THE AUTHOR. PREFACE. I have felt for some time that there ought to be some plainer statement with more familiar illus- trations of the various theories of knowledge that have been proposed than has yet been offered to the public. I have felt, too, as though I had some special opportunities for preparing such a work, having been engaged in a "course of instruction for nearly forty years which required me to go over the subject once at least each year. My belief is, that there is no one of these theories that cannot be stated in the common language of mankind and illustrated by examples so familiar as to bring it within the comprehension of all ordinary minds. But whether I have had too much conceit in my own ability in this direction, or whether I have not fully comprehended the systems them- selves, are points on which the reader will judge for himself. viii. PREFACE. When Agassiz came to this country and began to teach Natural History at Harvard, he is said to have made the remark that when the students of Nature go out from their books and their libraries to study nature itself, they never find it. His complaint was, that the students had been studying books, and could repeat all that had been said about things, and discuss very learnedly all the different views of the various authors that had written on the subjects, but when they came face to face with the facts and objects themselves, they knew but very little about them, and in many cases they could not even recog- nize them when they had found them. His view commends itself to all men in our day. These men had studied books and words, rather than things. And it has often appeared to me that many of our students, and teachers, too, of meta- physics have made the same niistake. Words are but arbitrary signs of the things which we propose to signify by them. And it is quite true that in metaphysics we cannot turn from the words of the author to any external facts, objects or processes, which they may be supposed to represent or describe. But if they are true at all they must rep- resent and describe some facts or processes of an in- ternal character that occur in the minds of men. PREFACE. ix. And if they have occurred in the mind of any one man and are of a general character, so as to consti- tute the proper basis or material for a philosophy, they must have occurred in the minds of most men, and presumably, therefore, in the mind of any stu- dent or reader of metaphysics. Hence, he has but to look within himself to the facts of his own consciousness and experience for his illustrations. But in all cases words must be interpreted by facts, if we are to have any scientific knowledge of anything. The difference I have in mind admits of an easy and familiar illustration. Suppose we ask the same question to a class of students. Let it be, "how is the State of Tennessee bounded ?" One student will recall and repeat the words which he has learned from some text book ; the answer, we will suppose, is perfectly correct. The other student immediately recalls in imagination a map and sees the States that are around Tennessee, and gives their narnes. And he, too, is perfectly correct. But he describes the thing and uses his own words for that purpose, while the former student repeats the words he has learned, and this, as we often see, may be done with- out the slightest idea of their meaning. Most of the theories of knowledge that have been X. PREFACE. given to the world have been written in languages that are foreign to us and some of them in ages that have long since gone by. Hence the words which these authors used are often such as admit of no full and adequate translation by words that are familar in our language. Nor can they be paraphrased so as to make their meaning obvious to the inex- perienced reader. What we want.is not "the very words " of the author, but some explanation of what he meant by the words he used. Of course, a knowledge of the words, as given in this Grammar, and the meaning of their terms, as given in the Dictionaries of these languages, is indis- pensable. But, more than that, and more, too, than a knowledge of the facts of which the author is speaking, is necessary to a right apprehension of what he really meant to say. There must be some familiarity with the habits of thought and the modes of expressing them that' were in current use at the time when the author wrote. I write chiefly for those who read only the English language and that, too, the English that is in com- mon use in denoting common things, and in express- ing the thoughts that are common to most men of intelligence. Hence, it has been my constant care and aim, while giving the technical terms that are PREFACE. xi. used for the sake of scholars, to give also a common sense statement of the doctrine that is conveyed or rather, perhaps, often concealed by them, with free and very familiar illustrations for the use of those who have no taste for those things. But, after all, I fear, it must be confessed that there are certain minds to which many of the truths of metaphysics cannot be made so plain as to come within a range of their entire comprehension. Recent discoveries and discussions have made us familiar with the phenomena of color-blindness. Many persons who are not at all deficient in the sense of hearing are what we may, perhaps, call music-deaf. Most animals hear the words we speak as well as we can, and yet they are sense-blind. That is, they can attach to most of the words they hear none of that sense which makes them so influential with us. One of the best mathematicians I ever knew could not learn any foreign language ; and one of the best linguists I have ever seen could not understand any- thing of mathematics beyond its very first principles. He could repeat wordf or word the demonstrations in his Geometry and even, to some extent, in the higher mathematics, but he could neither understand them nor see their force as proof of the proposition they were intended to demonstrate. xii. PREFACE. In view of these facts, we ought not to be sur- prised if there are some minds which are very highly gifted for other departments of knowledge, that have no taste for metaphysics and find it difficult, if not quite impossible, to understand their more abstruse principles. And these considerations must be accepted as my reason (and apology, if apology be deemed necessary) for the frequent recurrence and repetition of some of the more fundamental facts and doctrines, in different relations, and with a greater variety of illus- trations than I should otherwise have thought desir- able. With these remarks I commend the book to the consideration of the reader, trusting that when he shall have carefully considered its contents he will have a clearer and better idea of the scope and ex- tent of what may be regarded as knowledge, whether attained or attainable, as well as a more adequate idea of what we may properly believe and reasonably hope for, whether as a matter of science and knowl- edge in this world, or of faith and hope in the world to come. W. D. WILSON. Syracuse, Feb., 1889. CONTENTS. LECTURE I. PLATO AND THE THEORY OF IDEAS. § I. Introduction, p. i. § 2. Philosophy in Greece before Plato, p. 3. § 3. Necessity for Ideas, p. 4. J 4. The Nature of Ideas, p. 4. § 5. Their Supernatural Origin, p. g. $ 6, Inferences from this Theory, p. 12. § 7. Discernible by Insight, p. 13. § 8. Two Kinds of Knowledge, p. 17. § 9. Ideas in Rela- tion to the Properties of Objects, p. 21. $ 10. Plato's Theism, p. 32. § II. Idealistic Tendencies, p. 36. § 12. His Theory of Creation, p. 40. LECTURE IL ARTISTOTLE AND HIS THEORY OF COGNITION. ^ I. Aristotle's Relation to Plato, p. 51. § 2. The Nature of Lan- guage, p. 52. § 3. Some Peculiarities of the Greek, p. 56. § 4. Aristotle rejects Plato's Theory of Ideas, p. 60. § 5. Observation the Starting Point, p. 63. § 6. The Formation of Ideas, p. 66. § 7. Essential of Properties, p. 70. § 8. The Means and Way of Discriminating them, p. 77. § g. The Processes of Reasoning, p. 82. 5 10. Different Kinds and Degrees of Certainty, p. 86. $ 11. Aristotle's Ten Cate- gories, p. gi. 5 12. The Four Categories of Science, p. 94. § 13. First and Final Causes. xiv. CONTENTS. LECTURE. III. THE MIDDLE AGES ; DESCARTES AND LOCKE. % I. Philosophy in the Middle Ages, p. gg. % 2. Realism and Nom- inalism, p. ICO. % 3. The Scholastic Method, p. 107. § 4. Descartes' Classification of Ideas, p. iii. § 5. His Theory of Knowledge, p. 114. % 6. Difficulties of his Theory of Perception, p. ilg. § 7. Locke's Predecessors, Bacon and Hobbes, p. 121. $ 8. Locke's View of the Nature of Ideas, p. I2g. } 9. His Theory of their Origin, p. 132. § 10. Means of Testing his Theory, p. 134. § 11. Necessary Ax- ioms, p. I3g. § 12. Relations of Ideas to Things, p. 141. LECTURE IV. CRITICS AND DISCIPLES OF LOCKE. § I. Locke's system not well understood, p. 147. § 2. Reid's efforts to counteract its bad influences, p. 148. § 3. Cousin's miscon- ception of Locke, p. 151. J 4. His examination of Locke's tests, p. 55. § 15. The Idea of the Infinite, p. 161. § 6. Results of Cousin's Criticisms, p. 167. § 7. The Principle of causation, p. 170. § 8. Comte's Positivism, p. 176. § 9. Mind not an Abstraction, p. 178. § 10. Sir William Hamilton's Theory of Perception, p. 182. § 11. Anglican Agnosticism, p. 168. § 12. The Relativity of Knowledge. LECTURE V. KANT AND HEGEL. § I. Some Peculiarities of the German Language, p. 203. § 2. Kant's Relation to Locke and Raid, p. 206. § 3. Kant's "Schemata," -g. 2og. §4. His Theory of Time and Space, p. 2g2. § 5. His Categories, p. 213. § 6. His Classification of Propositions with reference to Certainty, p. 215. § 7. His Antinomies, p. 222. § 8. Extent of his Agnosticism, p. 225 § g. Hegel's relation to Kant, p. 227. § 10. Absolute Being. p.228. § II. This View compared with Aristotle's, p. 231. §12. Hegel's Law of Co-ordination, p. 232. § 13. Application to Ontology, p. 235. § 14. Hegel's Idealism, 242. CONTENTS XV. LECTURE VI. THE EXTENT OF REALITY. — {The Use of Fiction) § I. Summary Review, p. 253. § 2. Points gained, p 254. § 3. Touch and Sight, p. 256. § 4. The Law of Co-ordination, p. 258. § 5. Axioms first in the Logical Order, p. 262. § 6. Inertia and Spontaneity, p. 266. § 7. The Law of Causation, p. 274. § 8. Illustrations from Science, p. 277. § 9. Illus- trations from History, p. 281. § 10. Three Departments of Knowledge, p. 286. §11. Rules for Testing Reality, p. 291. § 12. Examples of the Use of Fictions, p. 294. § 13. Rules for Testing Them, p. 297. § 14. Necessity for their Use, p. 298. § 15. Examples in constant use, p. 303. THEORIES OF KNOWLEDGE. LECTURE I. PLATO AND THE THEORY OF IDEAS. § I. Theories of knowledge lie at the foundation of all other theories. No theory can be formed, and scarcely a statement can be made, on any subject of human thought, that does not imply and presuppose some theory of knowledge — a theory of its origin, our means of knowing, and both the foundations and the extent of that which we can claim to know. In the ages past several theories have been pro- posed, and gained a more or less wide reception among mankind. And each one of them, during the period of its prevalence, and throughout the extent to which it prevailed, exerted a very marked and powerful influence on many of the practical opinions of the age — both theological and moral — which were of the greatest importance to mankind. It has been said by as good an authority as Sir William Hamilton, " that no theological dogma has 2 - THEORIES OF KNOWLEDGE. ever been set forth by the Church or by any branch of it, whose phraseology had not been derived from some one or another of the systems of philosophy that have prevailed, to such an extent that it means one thing or another, according as its terms are inter- preted by one or another of these systems ; and that the various meanings thus given, or rather attached to, it are often quite the reverse and contradictory of each other." For this reason, if for no other, it would seem that some knowledge of metaphysics, or theories of knowl- edge, is indispensable to all educated men. There are, in fact, practical principles of great importance, which they can understand and apply in all the ordi- nary affairs of life, without much comprehension of the more abstruse points that occupy so large a space in any of our professed treatises on the subject. Met- aphysics is, in this respect, like most other sciences ; men often apply their principles without knowing the reasons for them. It is my purpose in these Lectures to give a plain, common sense statement of these theories, with fa- miliar illustrations ; and to point out the influences which they have exerted, and some, at least, of the diversities in the religious belief and moral practices of mankind, to which the different theories of knowl- edge have led. It is a very common impression that there is no philosophy that explains the facts and phenomena of human nature and human belief ; but only this man's opinion and that man's system — no science or phi- PLATO AND THE THEORY OF IDEAS. 3 losophy in the case in fact, which rests upon undis- puted facts, and is built up by the methods that give intelHgibility and certainty to the results that are at- tained, or attainable, in other departments of thought and inquiry. I fear that this is true to a very large extent; much ■ farther than it ought to be. What we call metaphysics is unintelligible to most persons. And scarcely can we cite an opinion that is not disputed and controverted ; so that the number of doctrines or principles in which all are agreed is exceedingly small. I can hardly recall one. § 2. Philosophy began in Greece with Thales, born about 640 B. c, and Pythagoras about 580 B. c. — and in part at least — as a protest and reaction against the prevailing polytheism and mythology. These earlier philosophers, however, were neither material- ists nor atheists. The contemplation of nature and of the human mind, and the direct study of their phenomena, led them to a belief in one Supreme Mind. But among the philosophers, diversity of views and different systems arose, until the necessity for some criterion — %ovsxt. theory oi knowledge — its foundation and limits, and our means of acquiring it, became not only a manifest, but a controlling neces- sity. Plato stands first in the order of time, in furnishing a theory of knowledge, and is certainly equal to any of them in the grandeur of his genius, the beauty of his diction, and the poetry of his illustrations. Soc- rates had preceded him. But Socrates left nothing 4 THEORIES OF KNOWLEDGE. in writing behind him. He was a man of most mar- velous insight. But so far as our subject is concerned, he seems to have contented himself with assuming and asserting the fact that, some how or other, man has such an insight into the nature of things, and es- pecially of human actions, that he does know, or can discern, the difference between right and wrong, if he will only take the pains to look into such matters. § 3. But Plato saw the necessity of looking — if not deeper (and that is hardly possible) — yet more com- prehensively into the subject. In his view popular opinion, hol^a, the mere sense-impressions and opin- ions, such as prevails among the unreflecting masses — and all mere masses of men are unreflecting — is often faulty and wrong, and is never scientific knowl- edge; whereas scientific knowledge — the rational comprehension of things, eTrto-Tjj/^i/, which is the at- tainment of the few, is of inestimable value. But how do they get it ? That is the great question. Of course Plato saw, as we now know, that we can understand, or comprehend, any fact or object only as we see it as one in a class or genus, and in the light of a general law or principle. When, for example, we call an object a plant or an animal, we afifirm a great deal concerning it, and imply a general idea of both plants and animals. When we say of this heav- enly body, it is a planet, or it is a fixed star, we have indicated concerning it vastly more than the mere fact that it is one of the shining bodies that we see nightly over our heads, or in what we call the sky, or than the wholly uneducated man knows concerning it. PLATO AND THE THEORY OF IDJ^AS. 5 What Plato was thus inquiring for have, since his time, been called ideas. And knowledge is consid- ered or made up of ideas ; just as the material world is made up of the innumerable and endlessly varied objects that we see and handle around us. These ideas are considered to be of two classes or kinds : the one class are idea-images that exactly rep- resent the individual objects that we see and handle ; and the other class consists of those general ideas that represent classes or objects, but no one of them in particular, or exactly as it appears. Now these principles or general ideas, if they do not make, are yet essential to, what Plato called sci- ence or scientific knowledge {einffTrinri). § 4. But how do we come by these principles ? How do we gain true knowledge? and of what does it consist when contrasted with first impressions — mere ho^a, or popular opinion ? Plato saw that every individual thing that we see or can see is changeable. Not only may what is hot now be cold to-morrow, but the same substance may be solid, as ice or snow to-day — fluid, as water to- morrow — evanescent as steam, or invisible moisture or gas the next day. Nay, whatever is seen and ob- served to exist is, and must be, seen in some particu- lar place. And the act of seeing it is one that occurs at some point of what we call time. And yet place and time are constantly changing for all things. Hence his starting-point : " There is no science of the variable." But what is the '' variable " ? Every ob- ject that we see is "variable," We can neither see 6 'THEORIES OF KNOWLEDGE. nor touch with the hands anything that is not varia- ble. In the Theatetus this point is argued at great length. "Theatetus," in answer to Socrates' ques-' tion, says that all knowledge rests on sense-percep- tion. " He that knows anything appears to perceive what he knows, and, as it now seems, science is noth- ing but perception " (ato-^jjaw). But after a long ar- gumentation he is brought to confess that perception and science can never be the same ; and that in order to have any science, or any true comprehension of things, there must be something besides mere sense- perception — something more than we can get by the mere observation of objects. His argument is based upon the acknowledged va- riability and changefulness of all visible things. He takes a wide range for examples and illustrations, and finally reaches the conclusion, which he announces by saying : " Sight and hearing convey no truth to men." " But this, as it seems to me, is the result," he continues, "if all things are in motion, or a state of change, every answer, on whatever subject it may be given, will be equally correct, whether we say that a thing is so or not so, or, if you will, becomes so, we may not fix them by any definite assertion." The remark that immediately follows is not in the language of any of our modern systems ; but seems to me to be merely the assertion, that if we have no means of knowledge but sense-perception, we cannot only not have any general ideas or truths as the basis of our knowledge, but we could not have even so PLATO AND THE THEORY OF IDEAS. 7 much as any general terms, or common nouns in our languages; we could not even say that "this is a man," "that is a horse," "that is a plant or an ani- mal ;" for man, horse, plant and animal are general terms. Or, as he says, we cannot even say of any- thing, " it is so, or it is not so." Hence his first inferences ; we gain and can gain no knowledge — that is, not science — by observation ; we must have some other source and means of knowl- edge ; for knowledge we have, that Socrates demon- strated beyond further question, so far at least as moral truths and relations are concerned. We may get in. this way idea-images of individual things, but as Plato thought, not those general ideas, without which there is no science or scientific comprehen- sion of anything. Let us not, however, by our hasty generalizations, overlook a very important point. Sense-perception — or perception — never comes alone ; there is always one more intellectual act that accompanies it — almost if not always two ; the one, that almost always ac- companies it, is an act of imagination by which we form an idea-image of the object we perceive ; 'the other act which, in man, always accompanies percep- tion, is insight — a seeing into the nature of the ob- ject. Plato fully recognizes this distinction, though he does not seem to have seen the fact, or at least to have done full justice to it, that the latter — insight — always accompanies sense-perception. Perception he calls aia-6r]a-i^, whereas insight is indicated in his phraseology by its more appropriate term voT/o-t?. By this latter process we discriminate, in the very act 8 THEORIES OF KNOWLEDGE. of sense-perception, between the essential properties of the object we see, and the mere changeable, if not changing, accidents which make up what he calls motion, /ctvjjo-t?, so that when we see an object we see also its essential nature, and we can say not only that it is, but also what it is, as a man, a horse, etc. We must always remember that the words «So? and /iSed, which are translated " idea," and which are in fact two Greek forms of one word, are derived from the verb e'tSw, which means to see. Hence the noun eiSo? means the thing that is seen, as its first significance, and the word Ihia means the form or outward appearance of the thing. And both words are used very constantly to denote the form or ap- pearance of the thing that is seen. Hence to the mind of a Greek, and to one in these times who is familiar with the Greek, they have a force that is not likely to be felt by other persons. It may be well, however, to state explicitly that in our modern usage the word idea is used in at least four different senses, (i) In the first place it is used to d'enote an image — idea-image — in the mind that is just like the object we see. (2) The word is used to denote what is called an ideal, something that serves as a pattern by which we are to be guided in our ef- forts to produce something, or as a standard to which we compare objects, and which is considered to be more perfect than any reality we can have before us ; more perfect, therefore, than any idea-image we can possibly have. PLATO AND THE THEORY OF IDEAS. g Then (3) we have what we call general ideas, which represent to the mind no one object, possible or real, but rather a class of objects — as man, horse, etc., by the properties that are common to them all. We sometimes (4) also speak of a collective idea, or one that denotes a group of objects, as a congress, a church, a forest, a landscape, etc. Nor is this all. In our modern use of language the word " idea" is used to denote any thought, however complex. Knowledge is, in fact, considered as made up of ideas — ideas of things, ideas of classes, ideas of groups or collective wholes, as well as ideas of theo- ries and systems. We often speak of a thing as an idea, when, perhaps, it would be better to say an opinion ; except that the word opinion implies some- thing of assent or belief, whereas the word idea does not. We must remember that Plato no where gives a systematic statement of his theory of the nature of ideas, nor does he seem to have deliberately consid- ered all the various meanings of the word which we, in modern times, have given to it. In fact it was scarcely used for this purpose before the time of Plato. It often meant the kind or form of a thing, as " the appearance of death," "the kind or type of a disease." It was scarcely used to denote a thought or state of the mind until it was so used by Plato. I will therefore make a selection of passages from Plato, for the purpose of exhibiting his use of the word. § 5. And I begin with the one found in the Repub- lO THEORIES OF KNOWLEDGE. lie (B. X, c. i). He is there evidently explaining the nature of ideas to those who do not understand what he meant by the word. Plato cites the case of a cabinet-maker, and as ex- amples, bedsteads and tables. He says that for these two classes of objects, bedsteads and -tables, there must be two ideas, one for all the bedsteads and an- other for all the tables. And the workman, " look- ing to the idea which is in his own mind," makes the lumber in the one case into a bedstead. But if he looks at the other idea, the idea of tables, and is guided by it, he makes a table. The artificer makes the table or the bed, indeed ; but he does not make the idea. Not at all. " So," as he argues, " the Art- ificer who made all things must have had the ideas of them in His mind before He made them." "Not, only all sorts of utensils, but everything also which springs from the earth. He makes all sorts of ani- mals, and besides these things He makes the earth, the heavens and all things in Heaven and Hades, under the earth, as well." "You are speaking," said the hearers, " of a wonderful sophist " [wiseman]. " But tell me, do you not believe there is such an Artificer?" Then a question is raised about the cre- ation of all things. Plato illustrates his view by supposing that we take a mirror and carry it around everywhere. It makes images of all things, and these images of things are, in Plato's theory, to the things themselves as the objects we see and handle in the world of time and space are to the ideas of them which are in the I)i- vine Mind. PLATO AND THE THEORY OF IDEAS. 1 1 In the case before us, however, Plato seems to confound, or rather not to discriminate between, what we, in the more exact phraseology of our day, distinguish by the two nouns, general ideas and ideals. A general idea, as I have said, a^^notes — or, as some persons prefer to say, connotes — many indi- viduals in a class, without indicating or describing any one of them. Whereas an ideal is the idea of some one thing — a pattern, in fact, in the mind, like which we try to make and fashion something, some work of art. In another place Plato compares the objects that we see to the shadows that we might see in a cave, if we were standing at its mouth looking into it, with the light behind us, and the ideas floating in the light behind and casting their shadows by us on to the wall of the cave, which is opposite to the light {Rep., B. VII, c. i). But I think that with the aid of modern science we can give a better illustration of his thought on this point than Plato has done. Take the case of a lamp before a concave polyhedral reflector. Each one of the little facets gives forth an image, no two of which are in the same plane or exactly alike. The lamp is one and the same for them all. So in Plato's theory, there is in the Divine Mind one idea for all the objects in any one species — the idea is general and one, however many and numerous the objects in that class may be — that is, the idea represents the objects by all the properties that are common to them all, but does not represent any one of them in particular. 12 THEORIES OF KNOWLEDGE. But as patterns or paradigms, they may be either what are called ideals or general ideas, though the language Plato uses would seem to imply the latter. § 6. What then was Plato's theory of the origin we have of our real knowledge ? We must keep in mind his doctrine that we can get no knowledge — that is, no scientific comprehension of things, by observation of the things themselves — that is, by what we in modern times call a posteriori method. I begin with a passage in that beautiful little dia- logue, the Meno. It will be remembered that Plato no where gives a systematic statement of his views on this subject. His theory is to be deduced — de- duced, I say, for he no where elaborately states it — from scattered passages that are to be found through- out his works. And it must be remembered, too, that he says nothing in his own name. He puts all of his thoughts into the mouth of Socrates, as chief interlocutor in his dialogues. In the dialogue now under consideration Plato is trying to show the nature of virtue. But to under- stand the nature of virtue we must fall back on a general principle, or idea. And here, as everywhere, we can understand any particular thing, as he thinks, only as we "see it in the light of its principle." What is virtue.? and how are we to distinguish it from something that is of a very different character? Or, in other words, what is the origin and value, or validity of our idea of virtue? The case is the more important and in.structive becau.se it was. invented and given for the purpose of illustrating this, very point. PLATO AND THE THEORY OF IDEAS. 13 The example is as follows : Socrates calls a boy before them and making a rectangular figure on the ground, asks the boy what he calls it ? He then says : Suppose the sides are equal and each side is two feet long, how many feet in the surface ? The boy an- swers, after a moment's reflection, four. Then Soc- rates says, suppose each side were just twice as long as at present, that is, four feet, what would be the area? The boy answers at first that it would be just twice as much, or eight feet. Socrates continues to ask the boy questions, one after the other, until he sees that his first answer was wrong, and that the space with twice the length of the sides would be, in fact, four times as great, or sixteen feet. During all this time Socrates keeps calling atten- tion to the fact that he is not teaching or telling the boy anything ; he is only asking him questions. And by this means the boy is led to a truth or an idea that he had not in his mind, or rather could not give expression to, at the beginning of the questioning. § 7. From this Socrates, or rather Plato, makes several inferences. The first, in order, is that the mind or soul is something entirely distinct from the body : the next is that the mind or soul had in it, before these questions were put to him, the truth, knowledge or idea, which the questioning merely called into his consciousness, so that he knew and was conscious of knowing it. And finally in this way and in this connection he infers not only the immortality of the soul, but also its pre-existence. " If, then, the truth of things," that is, their ideas, H THEORIES OF KNOWLEDGE. " always exist in the soul, the soul itself must be immortal." And again, " if he always possessed the truth or the ideas, he must have been always in be- ing, as a person." But even if he had acquired these ideas at any previous time, it could not have been in this life; it must' therefore have been in a previ- ous state of existence. Hence on this theory they are called innate ideas. From this fact, or part of this theory, Plato infers that what we call education should be conducted chiefly by questioning. It is not the imparting or conveying of ideas to the mind of another, but it is reminiscence, memory, or the recalling of ideas, that we had in a previous state of existence and have for- gotten since we left it to enter into the bodies we now possess. "For," says he, " all objects in nat- ure making one whole being of one kind," or, as we would say, making one summum genus, and the soul having heretofore, "in its previous state of exist- ence," known all things, "there is nothing to pre- vent a man who remembers at all — what we call learning any one thing — from receiving again all the rest," if he has but the courage and perseverance to do so. It is manifest from this that Plato regarded .knowledge, or true science, as made up of general ideas, and as but the collective whole or sum of ideas. And these ideas were not mere thoughts — mere states of the mind ; they were something in the mind, something that could be in the mind before we were born, and in the mind even when the mind was not thinking at all. PLATO AND THE THEORY OF IDEAS. 15 I think it worth the while to pause here for a mo- ment to make a remark that seems to me to be ob- viously suggested by this example. It will help to illustrate and make intelligible a good deal of what we shall encounter at a later stage of our discus- sions. When Socrates asked the boy the question, how many square feet are there in a square whose sides are each of them two feet, he excited the boy's im- agination. He could easily picture before his mind, by what we call an act of intuition, just such a square, and see by intuition of the picture thus cre- ated precisely how many feet there were. It was intuition, the looking upon the object or its picture by imagination and not insight, the looking into the nature of the object. And he answered at once and correctly. But when Socrates asked him how many feet in a square with twice the length of the sides, he had proposed a question that went beyond the ready exercise of imagination and mere intuition; the boy could not see at a mere glance of intuition any more than with a mere glance of the eye, if such an object had been before him, how many square feet there were in the figure ; he must at least take time to count. But instead of that he made a mere verbal inference : If the side is "twice' as long, the area will be " twice " as great. There has been an immense amount of what is called phi- losophy, which has been the result of just this kind of mental exercise. It is a mere verbal inference or construction, with no intuition, much less has in- 1 6 THEORIES OF KNOWLEDGE. sight into the nature of the things that are spoken of. But in the case of the boy, the answer, as we have seen, was wrong. And it is equally true that Soc- rates did not tell him anything — that is, " convey any idea into his mind." What then did he do? He began by asking questions that excited and called into exercise his insight into the nature of the case, and thus he led the boy on, step by step, to see not only that he was wrong, but also what was the truth in regard to the matter. We have then sight, by which we see things when they are before us ; intuition, by which we look upon them and imagine them as if they were before us when they are not ; and insight, by which we look into them, even into the very nature of things and in some cases even into the nature of things that are not visible to the eye or subject to imagin- ation at all in any proper sense of the word. This reference to memory or reminiscence, as the origin of our ideas, is not a mere casual remark, an obiter dictum, but it is asserted emphatically and with reiteration. " Meno," in the dialogue already quoted, had asked Socrates, " But how say you this, namely, that we do not learn, but that what we call learning is only recollection ? Can you teach me that this is so ? " Socrates replies : " You are very crafty, Meno. You ask me to teach you something when I have just told you that there is no such thing as teaching, but only reminiscence." And so, repeatedly, he calls attention to the fact that he had told or taught the boy nothing, but only quickened his memory by the questions he had put to him. PLATO AND THE THEORY OF IDEAS. 17 And so, likewise, the inferences he draws from the case imply that the act is one of memory or remem- bering alone, and that the ideas are substantial real- ities in the mind, and not mere thoughts or states of the mind. From this case, as I have already said, Plato infers, not only the pre-existence of the soul in a different state before our birth, but also its immor- tality in some future state. § 8. But in another connection Plato speaks in different terms of this process. In the Republic (B VII, c. 10) he speaks of these ideas, which he has come to regard and to affirm to be the only real things in the universe — all else being but mere shad- ows of the ideas — he affirms, I say, that they are seen by " the reason and not by the eyes," {vo'qtreiv, oW ovK ofifiaaiv), and he says (c 1 1), " which things can indeed be seen by reason," or, as we had bet- ter, perhaps, translate the word (w^o-t?) insight. He also uses the word \o'709 and Sidvoia, to indicate the kind of mental action. In(B. VII, c. 3 and 4) Plato speaks of the dullness of our intellect, comparing it to our experience in regard to vision. When we are passing, as he says, either from great light into par- tial darkness, or the reverse, from darkness into a very strong light, the eyes • are blurred, so that we cannot see distinctly. And when we consider that the same thing takes place in reference to the soul and its ideas, when it enters the body, we shall not be surprised at the defect in the intelligence or insight of most men. But we should rather consider that the soul, " in coming into this world and enter- 2 1 8 THEORIES OF KNO WLEDGE. ing into the body, has come out of a more brilliant existence and is now partly blinded by change of condition ; or else that it is emerging out of gross darkness into a more luminous state of being, and thus one will congratulate it on the former life while he pities the present." The two theories are thus distinctly set forth : that of innate ideas- which were in the mind before birth in such a way that our acquisition of knowl- edge now, and in this state of being, is but properly a form of reminiscence or recollection, and the other, that these ideas are a matter of insight, to be ob- tained, not by observation of external things, but by intuition or introspection. In either case they are supposed to be realities within us ; in the one case they are called up by recollection, so as to form a part of our real knowledge, and in the other they are discerned in us by an act of intuition or intro- spection. And yet if we look a little deeper or sharper into the subject I think that we shall see that the two theories thus suggested are not at all inconsistent with each other ; and that we may be doing Plato an injustice to so speak of them. If the ideas were in the mind, but forgotten, we might easily speak of the act of recalling them as one of insight, dis- crimination, and possibly reasoning ; the voluntary effort which we are conscious of making to recall them might easily be regarded and spoken of as looking for or into them. In the example I have cited, Plato might be re- PLATO AND THE THEORY OF IDEAS. 19 garded as having in view only those ideas that make up what we call intuitive or a priori knowledge — that is, such knowledge as we gain by mere insight and without any actual cognition of any object. Of this kind are all the self-evident axioms that lie at the foundation of mathematics, and indeed of all other sciences. I know, for example, that this ob- ject is an apple, that is, it belongs to the class ap- ples, by seeing it, handling it and tasting it. I know, also, as soon as 1 see that it is an apple, that it grew on a tree, is good for food, contains within it seeds that will germinate, grow and produce other apples. I know, too, in that case, that the seeds are not likely to produce fruit of precisely the same kind, size, color, flavor, etc., as the apple from which they were taken. But all this is a posteriori — that is, I know it after having seen the apple, seen other ap- ples, formed a general idea of apples and known something of their growth and the laws of their re- production. But if we refer again to Plato's example, we find truths or ideas of a different order. We know that two and two are four, not from observation, but from the nature of the case and insight into the nat- ure of number. I know that this object is a man, and that object is an apple, because I have seen men and apples. But it is no matter what they are, whether men, apples or peanuts, two and two of of them must and will be four. A square, no mat- ter of what, paper, cloth or land, or water surface, two feet on each side, will contain four square feet ; 20 THEORIES OF KNOWLEDGE. and if it is four feet on the side it will contain six- teen square feet. And so of all the truths of pure mathematics ; and the axioms of the physical sciences as well. What- ever is extended is divisible. No mere process of analysis or synthesis, such as we can perform in our chemistry, can either create or annihilate a particle of matter. Hence the sum of the parts must be equal to the whole, and the whole must weigh as much as, and can weigh no more than, the parts that went into its composition. But we explain the origin of this knowledge — this part of our knowledge — by reference to intuition or insight. Does the act disclose or discover eternal ideas that were always in our minds ? Does it awaken memory and recall ideas that we once had in a previous state of being, but have now forgotten ? This was Plato's theory, and it matters not so far as that is concerned whether we get them by recollec- tion or by insight. We can understand the process and the facts in the case just as well, however, without supposing that there are any ideas in the mind, but only a change in the state and condition of the mind. And I think that this latter view is the one towards which philosophy is tending, even if it has not reached it already. We will suppose, for the sake of illustration, that I have never seen an alligator, never, in fact, have heard or seen the word before. But now I have one before me. I see it and know what it is. Had I an PLATO AND THE THEORY OF IDEAS. 2 1 idea of it— or rather of the species — in my mind be- fore, though lying latent and (perhaps) dormant there ? That would be in accordance with Plato's theory. Did I form an idea of it while looking at it ? That would be in accordance with a more re- cent theory of knowledge. Or, on the contrary, is there no idea, or idea-image of the case, but only a change in myself? I have just eaten my dinner, but in a few hours I shall be hungry. Is the hunger a thing that comes and goes ? or is it a state of the system ? Is it a thing that is " formed " within me ? Or is it only a state of myself that I denote by that name ? Before I saw the alligator I was ignorant. After I had seen him I am knowing what he is, both the thing and the meaning of the word. Is there anything in all this, more, or other, than a change in myself, the state or condition of my mind ? As I have said, I think that such is the theory of knowl- edge to which we are tending. We have then before us two of the passages in which Plato makes, as it seems to me, the most dis- tinct and lucid statements of his theory of the nat- ure and origin of our ideas. But he no where gives us a systematic or connected statement of his theo- ry. We are left, therefore, to do the best we can by making our own selections and grouping of what seems best for our purpose. § 9. If now we consider the two examples we have cited, we shall find that Plato has been consid- ering each of the two parts into which all science or scientific knowledge is divided, or rather the two 22 THEORIES OF KNOWLEDGE. parts of which it is composed. The one part I have already designated as a priori. It is sometimes also called absolute, because its truths are universal and admit of no exceptions. It is totally independent of experience and observation, and would have been just*as true as it now is, if no one thing had ever existed in heaven or on earth. We get it not from looking at things themselves and studying them by means of our organs of sense, but by looking into their very nature by an act of insight, as we now call it, which is the vo^crt? of Plato, and so often occurs in his writings as contrasted with sensation and sense-perception, aia6r]t7i dvaiai fiepee). § 13. Naturally enough, therefore, it would follow from Plato's theory, that material things — though existing around us — are mere accidents of no great or essential importance, anyway ; and that the only things that are of real importance and of permanent and substantial value, are the ideas that are within our own minds. And his Timaeus, which is his ac- count of the orgiri and development or evolution of the universe, is based on this view, and is in the line of its development. He postulates three dis- tinct things that existed before the formation of the universe, being, ovaLa ; place, toVo? ; and generation, ! But these are all abstract terms. By hvaia, Plato seldom (so far as I can remember never) means matter or any substantial thing; it is rather the nature of the things. In another form, and one which is more intelligible to us, it would be " the essential properties of things." And thus we should have as the theorem, the properties of things, space or a place for them to exist in, and generation, pro- duction or creation, or the process by which these properties could be conferred on the to ov, or sub- stantial matter to make of it the varied things we see about us. Hence the three here postulated are (i) the pro- 46. THEORIES OF KNOWLEDGE. perties or natures of the different things that exist in the universe; (2) a place for each one, and (3) a a time at which it was brought into existence. But besides these three, the whole course of Plato's philosophy implies that there was (i) matter to work upon (for he apparently had no idea of the creation of matter out of nothing), and (2) God or Mind it- self, in which or whom were the ideas that make up the nature of the things and by whom they were imparted to the matter. And although he believed in substantial matter, and in God as the Creator or Artificer of all things in the universe, he recognized' also the fact that there is an element of necessity, or certain necessary laws and conditions, that must be observed. Thus in the Timaeus, " We ought also to speak of things that come of necessity,, for the production of this world results wholly from the co-operation of in- tellect and necessity, intellect indeed ruling over necessity." And this "necessity" he finds in the nature of matter, in its four forms — fire and water, earth and air. These ideas that make the nature of the things or the patterns of all things that exist, Plato regarded as the substantial realities of the universe ; they are eternal and always the same, ( Timaeus xxvi), the are the very essence of the Divine Mind. But these invisible things that constitute, in Plato's theory, the only realities, are for the most part denoted by abstract terms; they are in fact only the properties and modes of things considered as things themselves. PLATO AND THE THEORY OF IDEAS. ,47 And here it may be well to pause and say a word as to what we mean by abstract terms, as the word is used in several different senses and connotations. In its strictest sense, an abtsract term is a noun which, in regard to its etymology, is derived from an adjective or a verb, as from white, whiteness ; hum- ble, humility, or from the verb to live, life ; and from to move, motion ; and denotes only a property of things or modes in which they exist. But in the second place it is very common to speak of general terms, as man, horse, table, chairs, etc., as abstract terms, and thus include the two abstract and general terms in the same category and ignore the very important difference between them the one, as just "said, denotes only the property or mode of things^ and the other denotes the things themselves by those properties that are common to all that are included in the class. Then again, in the third place, some men — our modern agnostics for example — call all the names that denote invisible things, abstract, as the mind of man, and evten the Supreme Being, God Him- self. But manifestly nothing could be more fatal to clearness of conception and soundness of reasoning, than the use of one and the same word to denote these entirely different classes of objects: (i) mere properties of things ; (2) material or tangible things themselves considered in their essential properties, and without regard to their varying, and variable ac- cidents; (3) God Himself, the most real and sub- 48 THEORIES OF KNOWLEDGE. stantial of all things, who is both a substatltial Reality and a Personal Being, the One Person. Therefore, His name, like the name of all individual objects, is neither abstract nor general, but indi- vidual — or, as we usually call it, a proper name. I call attention to this vanned use of the term " ab- stract " at this early period, not only on account of its importance, but also because I shall have occasion thus to use it in these Lectures, and the knowledge of this fact, and the constant mindfulness and appre- ciation of thq fact will be indispensable to the right understanding of what I have to say. In one important sense, general terms stand mid- way between the concrete terms that denote individ- ual things, and the abstract terms which denote only single properties or modes. They constitute a class by themselves, and are as unlike abstract terms as they are unlike concrete terms, in their more modern sense. But at any rate they do not objectify mere proper- ties. Plato, however, in his theory of knowledge, laid the foundation for that use of abstract terms which has formed a very conspicuous and significant feat- ure of most of the metaphysics that have prevailed since his time, and has, to a large extent, influenced the theological dogmas that have been approved in the Christian Church, and forms the basis of, or at least is necessary to every form of polytheism, athe- ism and agnosticism that has yet been proposed in the world — a conclusion which I hope to make abundantly obvious before I reach the close of these Lectures. PLATO AND THE THEORY OF IDEAS. 45 But Plato himself was not a materialist. He was no pantheist, nor yet a polytheist, and, least of all, an agnostic. To him God was one, the Mind or NoO? of the Universe ; eternal, uncreated, and the Creator of all things ; so that in Him, in the most important sense, all things that are, or exist at all, may be said to " live and move and have their be- ing." Doubtless we can see that his theory of ideas im- plied, or contained among its elements, errors, and perhaps we may say, absurdities and contradictions. These absurdities, however, become more apparent in the writings of his followers than they are in his own, and in the Neo-Platonists of Alexandria they bloom out in the most unintelligible paradoxes. They are, however, scarcely apparent in his own writings, and he remains to this day, with the great majority of speculators, the Prince of Philosophers, the ex- pounder and source of the most precious truths. But great as Plato may have been, we can hardly doubt that there have been other men that were as great as he was, since his time. But even if not, then, according to the saying, " a dwarf standing on a giant's shoulders can see farther than the giant," there may have been men since his time, who, though dwarfs comparatively, standing on his shoulders, could see farther than he saw. And we have a series of great men since him, who have devoted their time and talents to the solution of the problems which so intensely interested him. We may name five at least of them, whom we must 4 50 THEORIES OF KNOWLEDGE. regard as original thinkers in this line of investiga- tion, or who, at all events, have made their mark and have left and will leave their impress as deeply stamped on the course of thought and the progress of philos- ophy as Plato himself. The five I have in mind, making with Plato six in all, are Aristotle, Descartes, Locke, Kant and Hegel ; each of whom may be re- garded as standing on the heads, one above another, of those that preceded him. And of each of these men I shall have something to say as we progress with our subject. LECTURE II. ARISTOTLE AND THE THEORY OF COGNITION. § I. Aristotle was born b. c. 384, and Socrates died B. C. 399. Consequently, Aristotle [never saw Socrates. But he became a pupil of Plato 367. He was highly appreciated by his master, who is said to have called him the mind or brain of his school. And it is related that when Plato delivered that most obscure of all his dialogues, the Timaeus, the other pupils, losing their interest, went out one by one, so that at the close of the discourse only one remained as a listener, and that one was Aristotle. Plato and Aristotle were of quite different mental constitutions. Plato was essentially poetic and aes- thetic ; whereas Aristotle was essentially scientific and practical. In attempting to set forth Aristotle's theory of knowledge, we encounter great difficulties. His language is very peculiar and obscure. He sel- dom wrote out anything elaborately, and it is the opinion of many of the best scholars, that part, at least, of what is now ascribed to him consists of notes which may have been used by him in delivering his 52 THEORIES OF KNOWLEDGE. lectures, and possibly of notes that were taken and elaborated by his pupils, and possibly by disciples who supposed they were writing what he would have said, if he had spoken on the subject at all, though he had never done so. § 2. But as all knowledge must be expressed in words, and in some 'form of language, we will first consider for a few inoments something of the nature of language in general. Language consists of words, which are in them- selves only arbitrary signs of the things we think and speak about. And we understand the words only by reference to the things and events which they are used to denote. The nouns denote things. And as we perceive objects individually and one by one, we should have only individual and proper names, if we had nothing but sense-perception. In that case each noun would denote some one individual object, just as the names of the persons around us, and of the rivers and mountains on the surface of the globe, now in common use, denote each one of them, its own individual object and no other. But if all the names in a language were of that kind, there would be no science, and what we should have could hardly be called knowledge, and we should see objects before us and around us as we do now, and might make a sound, a noise, which would be in a sense the name of the thing. But we could say nothing more about it ; we should have in fact no " knowledge " in regard to it, and could of course convey or communicate none to others. We could ARISTOTLE AND THE THEORY OF COGNITION. S3 not call the object a man, a horse, or a dog, for we should have no such words, and could not know what they mean if we had, for to know what they are, or the words mean, is to have in the mind the ideas which the words express. This, as we have seen in our last Lecture, was the starting-point with Plato. We see objects individu- ally and one by one. But as we can have no knowl- edge without general ideas, and as these objects are constantly changing, never continue long the same, or in the same place ; and we could say of this object indeed it is James or John, but we could not say he is a man, and both of them are men, or belong to the class " man." We have seen too what was Plato's theory or account of the nature and origin of these general ideas, or the ideas that we express by com- mon nouns or general terms. Plato, as we will re- member, thought these ideas were in the mind natu- rally, at birth, in fact, and put there by the Creator of all things before we were born. This, as I have said, was the first theory that was proposed on the subject as a solution of the problem. And it has been, with some modifications, the favorite theory with philosophers of a certain school, until the pres- ent time. But somehow or other, we came to have common nouns or general terms, that denote objects by classes (or rathpr classes of objects), and do not at all dis- criminate or point out any one of the objects in the class in particular. With most or all the human be- ings around us we have special relations and duties. 54 THEORIES OF KNOWLEDGE. Hence we need names that designate them, individ- ual or personal names — " proper names," as the grammarians call them. But besides these few cases, persons, cities, towns, nations, rivers, mountains, etc., we deal with the objects and speak of them only in general, and have for them only the general names that denote class. Thus, in Natural History we deal only with species and genera, or at most with varie- ties, and sports or monsters. We speak of foxes and wolves, and very seldom have occasion to refer to any one in particular. For most purposes, animals and plants which are. of the same class are all the same to us. These common nouns, however, denote the objects by those properties only which are common to the class, and are therefore essential to it. And these properties will be essentia, in the technical sense of the word, if we regard them as showing the compre- hensiveness of the class, how far it extends in the in- clusion of individuals; but differentia, if we regard them as constituting the distinction or difference between that class and some other class. But in any view these properties are essential to the class, and to every individual in the class — ex- cept, perhaps, acknowledged monstrosities, which are considered as belonging to the class, though ex- ceptions in some respects to the general rule. Thus, though the possession of reason, and the ordinary mental faculties are regarded as one of the essential characteristics of human beings yet I suppose that an idiot, or monster of any other kind, would be re- ARISTOTLE AND THE THEORY OF COGNITJON. 55 garded as a human being, if he had been born of human parents, notwithstanding his exceptional pe- culiarity. But the controlling fact is that the great mass of the objects around us — the untold millions of objects that are objects of thought and included in science, each and any one of which may be, if it has not al- ready been, an object of observation and study to some human observer, is denoted by general terms alone. These terms imply, and are based upon a classifi- cation, made by our ancestors long ago, in the ge- nealogy of thought and science. And they were based, when they were made, upon what were then re- garded as essential properties, and if essential, then unchanging, so that before the first individuals of that class came into existence, there was no such group of properties as a group anywhere, and when the group of properties ceases as a group, the species or class will be regarded as having become extinct. Geology is full of illustrations of this point. Ge- ologists tell us of races of animals that first made their appearance in such or such an age, and became extinct in such another age ; the trilobites, for ex- ample. But why say that they first appeared in the Silurian, if that be the case, and became ex- tinct in the Carboniferous? There were animals before, and there have been almost innumerable classes of animals since. But there were, even be- fore that period, as there have been since, no ani- mals that had that group, congeries, or combina- 56 THEORIES OP ]^NQWLED€E. ■ " tion of properties, which at the same time, though in different relations, make up the essentia and the differentia of the trilobites. Hence we say that whatever else they may have been before that peri- od, there were no trilobites; and there have been none since. No science of evolution has overcome, or can overcome, this fundamental fact nor seek to do so, in the use of language, and whatever may be true of " the origin of species " as a matter of Natu- ral History — this is the law, and the fact as well, in regard to those natural classifications, which we make in the acquisition of knowledge, and indicate by common nouns as we pass from the ignorance of childhood to the scientific attainments of the most mature wisdom. As we have seen in the previous Lecture, Plato thought that these general ideas were in the mind at birth, put there before we came into this world, and constituted the substance of the knowledge of things which we had then, and which we lost only by forgetting it when we came into this world, and during our infancy — the period of our mere animal existence. Aristotle, as we shall see, dissented from this view of the orgin of general ideas. § 3. Now one of the peculiarities in the use of terms that occurs so often in Aristotle's Meta- physics, and renders it so very difificult to under- stand him, is one that is very common in many modern writers of a certain school, — namely, that instead of using those common nouns which denote things by their essentia and differentia (§ 2), they are ARISTOTLE A^ND THE THEORY- OF COGNITION. 5^ constantly using an adjective. with an article before it as the subject of their propositions. But an ad- jective denotes but one property of an object, and whether simple or complex, it is for all occasions but one, as white or black, human or divine, finite or infinite. But in every idea of things, or of a class of things, there must be indicated by its very name more than one property, in order that we can under- stand it, reason about it, or even talk about it, any further than to inquire what it is and to ask about it, so as to know what is really the subject under consideration. Thus to take an example from a modern writer, Cousin cites " the infinite " as one of the terms ex- pressing an idea that cannot have come from mere sensation. But we naturally ask, "the infinite what ? " The adjective, even if it were a positive term, instead of being negative, as it is in this case, could give us only the one property, and not at all the essentia 2svA the differentia of any class. It, in fact, makes a class for the occasion. But what can a class include? Only these things, of course, of which we may predicate this adjective — infinite. Thus if I say " the white," I include in the class all things that may be said to be white, and the objects thus indicated' may have no other property common to them all. So in regard to the word infinite. We say of time, " it is infinite " (or at least Cousin does), and so of space, "it is infinite," and of number (sometimes), " it is infinite," and of God, " He is in- 58 THEORIES OF KNOWLEDGE. finite." But manifestly these four — time, space, number and God, — even if there are no more, do not make a class of which any one thing can be pred- icated or said except that they are infinite. It is indeed quite true that we do sometimes use the adjective in this way without any violation of the laws and conditions of intelligibility. As for example, in the parable of the great draught of fishes. We read that it contained good and bad, and that the fishermen divided them into two classes, gathering the good into their vessels, and throwing the bad away. We have no difficulty here, because the context clearly shows what was the genus of the objects, so to speak, that was in the mind, and that goodness, and its opposite, badness, was made for the occasion the differentia of the two species into which the genus was divided. But when adjectives are used in this way and no proximate genus is either given or clearly indicated, it is difificult, and sometimes quite impossible, to tell what is meant and to know whether to assent to or dissent from what is said. A writer whose work on Aristotle I have in my hand, Wallace, says, in speaking of Plato's philoso- phy : " The end, therefore, of philosophical study is to see the one in the many, and the many in the one." But we naturally ask, the one what ? and the many what ? Without wasting words, or taking un- necessary time, I will say that what he really means is that we must see each object (" the one "), as an object in the class, (" the many "), and we can see the ARISTOTLE AND THE THEORY OF' COGNITION, eg class, "the many," only as it appears in "the one "- — that is, the properties that are common to the class, are to be seen as present among the properties of each of the individuals in the class. Now Aristotle is constantly offending in this way. It is indeed true that the Greek language afforded some peculiar facilities and inducements for doing so. The Greeks, as is well known, varied their adjectives so as to agree with their nouns in gender and num- ber as well as in case. Thus they could say ra direipa, the infinite, or ro aireipov, which we usually translate by the same words, "the infinite." But the former form of expression suggests to the one who is famil- iar with the Greek idiom, the genus or class of ob- jects of which the only property common to all the individuals in the class, is this infinity ; while the lat- ter form would suggest rather the property of infin- ity or the subject of the remark that was made. In our language, in order to distinguish the two things, we should translate one phrase "infinite things," and the other " infinity." Again, Aristotle is constantly using abstract terms as if they were concrete, or at least he so uses them where we expect to find concrete terms, and must replace abstract terms by those that are concrete, if we would find any meaning in his words. For ex- ample, he discusses the question with regard to " generation " and " motion." Is generation eternal — has it always existed ? So with motion, is it eter- nal ? And in these discussions he apparently never raised the question with regard to the substantial re- 6o • THEORIES OF KNOWLEDGE. ality of these processes, or mere modes, any more than he did when he was discussing the question with regard to matter, and even God Himself. It is true that he arrives at the conclusion that motion from its very nature cannot be eternal, by a line of argu- ment which, stated in terms that are intelligible to us, is equivalent to the demonstration that matter cannot have always been in motion, for if so it must be able to move itself. So with regard to genera^ tion. It is a process, and as such there must have been a first act or cause, as well as an Infinite or Eternal Being that produced it, as well as " matter " on which He acted. And in fact Aristotle, though expressly repudiat- ing Plato's theory of ideas, accepted it nevertheless, or its consequences, so far at least as to use the ab- stract terms which denote only properties and modes, as if the properties and modes were as sub- stantial as the concrete things themselves. And thus, while rejecting one of the elements of Plato's theory of ideas, and giving an entirely different view of their origin, he accepts the other most conspicu- ous one, namely, he regards them as the proper ob- jects of discussion and speculation, and as making up our knowledge, when inquiring into the " nature of things," so called. § 4. But to pass to the more immediate subject of our Lecture — Aristotle's theory of knowledge. Having been a pupil of a master so great and so much admired as Plato, that master's theory of ideas as the characteristic features of his theory of knowl- ARISTOTLE AND'THE THEORY OF COGNITION: gj. edge could not fail to be much in his thoughts and occupy a conspicuous place in his discussions. But Aristotle was of an entirely different turn of mind from Plato. He could not fully accept his master's theory of ideas. To his mind they were as elements or means of knowledge, no explanations of the things and phenomena we see around us. Suppose, for ex- ample, I have, as Plato supposes, the idea of man in my mind, and there is an object before me ; how do I know, by means of that idea, that it is a man rath- er than something else ? Do you say, by resem- blance ? Butrfhow can a material thing that is exter- nal to the mind — is solid — extended, so as to be more or less large, colored, and having a definite and visi- ble form, be like any idea that is in the mind, and can therefore have none of these material or phys- ical properties ? The idea cannot be large, of this or that form and color. How then can it represent an object whose characteristics so far as recognition is concerned are these very properties? The ideas, therefore, cannot be patterns, ideals, or paradigms of things, as Plato liked to call them. We may have models of things, such as we have all seen, which, though smaller than the objects themselves, as in the case of the model of the steam-engine, for example ; it is a very exact representation of the steam-engine, and gives a very correct idea of it in all respects ex- cept its size. But the model has form and color and size, as well as the engine itself. But the ideas in the mind, if there are any in the mind, can have no such properties, and therefore can be no such rep- 62 THEORIES OF KNOWLEDGE. resentatives, models or paradigms of things that are around us in the material world. Plato, as we have seen, would explain this act of cognition by what he calls the " participation " of the object in the idea, making, in fact, the idea and the property to be one and the same. But we cannot imagine the transference of the property, as white- ness or triangularity for example, like paint from a jar to some object so as to make it white. So if there is the idea of the property in my mind, it is not the same as an element of knowledge to my thoughts as the property of objects which I call by the same name. The hardness of an object cannot be con- ceived to be the same as the hardness in the mind. If, therefore, we could understand how the idea could be carried out of the mind and put upon the material substance, that would not help us to form any ideas of the object to which it had been trans- ferred. I do not know that an object is white or black, solid or fluid, merely by having these ideas of blackness, solidity, etc., in my mind. Suppose I take something into my hands in the dark ; I do not know by the mere contact of my hands what is its color, whether it be white or black. The idea being in my mind is no help to me, even if it is there as a means of knowledge of the object, without actual cognition of the object itself; just as we have seen, it is no help to the actual cognition. For these and other like reasons Aristotle con- cludes that Plato's theory of ideas is unsatisfactory and, perhaps purely fictitious. Thus he says {Met., ARISTOTLE AND THE THEORY OF COGNITION. 6S B. I, e. g., § I,) " the assertion that these forms [ideas] are examples or paradigms, and that all other objects partake of them, is to speak vain [empty, unmeaning] words and to utter mere poetic metaphors." And again (B. XI, v), " the assertion that ideas are models or examples and that other things partake of them, is to speak quite at random and to assert what is equivalent to mere poetic metaphors." And he makes, in immediate connection with this last quotation, another important criticism. If the idea is the only reality, as Plato had constantly as- serted, there could be no possibility of denying the reality of anything of which we have any idea, for in order even to deny its reality, the idea of it must be in the mind, and thus the reality is there. " Even though," he says, " we should deny that Socrates does exist, yet the very act would generate Socrates." And in like manner this would make Socrates exist and be eternal, though . we were affirming that he never existed. § 5. The starting point of Aristotle's theory of knowledge is in fact the same as that of all the theories that have been proposed — the per- ception of external objects. But he distinctly recognizes the fact that in sense-perception, external objects act on the mind through the organs of sense. These objects, therefore, in his theory, are real and must be recognized as real causes. They cause the sensations in us, they are the starting point of knowledge and true science. Then he says, "the mind, when it perceives and 64 THEORIES OF KNOWLEDGE. thinks of that which comes within the mind as the sensations that are produced there by external objects, is cognisant of itself, for it becomes an object of perception (to itself) by contact (with those objects) and by the act of intellectual apprehension that which is receptive of impression from what is an object of perception, and is a substance, is mind, and when, it is in possession of these impressions (or sensations) it energizes or exists in a state of activity " {Metaph., B. XI, c. vii.) Now here is what Locke taught nearly two thou- sand years later as the foundation and corner-stone of his theory of knowledge. Locke denied all innate idea^, such as Plato and the Realists had insisted upon. But he held that our ideas of things are complex — made up of elements — and one part of these elements is derived from the external objects acting upon our minds, in sense-perception, thus giv- ing us the ideas of all the sensible or physical prop- erties of bodies, and then by setting our minds to work we get by reflection or consciousness of their states the other class of elements of ideas — the sum of which makes up our knowledge. In the theory of Aristotle, therefore, knowledge begins with an act of cognition or sense-perception. In this act there is, and of necessity there must be, something before the mind and acting on the or- gans of sense, the eye, the hand, etc. In this very act we perceive something which he calls tL, and by dwelling upon it we perceive what is, the oVt. And this is true, alike in regard to the SJ^a, or common ARISTOTLE AND THE THEORY OF COGNITION. 65 impressions of the unreflecting mass of mankind, and the e-m,crTrinr}, the scientfic knowledge of the more reflecting, the philospher, the men of science. And with this in his theory, knowledge begins. In modern use of language we would say that in this act we get an idea — or an idea-image of the ob- ject, which Aristotle calls rt, and which is more or less adequate, and correctly represents the object. But we also see, soon if not at first, what the object realy is, the otl, as a table or a chair, a man or a horse, etc. But how do we know this? The idea of table, chair, horse, man, etc., must have been in the mind, so to speak of it, before I could say that this object is a horse, a man, etc., and even before I could think of it or know it to be such. Now here is just the point at which Aristotle and Plato separate in their theories of knowledge. Plato held, as we have seen in our last Lecture, that on the occasion of the mind being excited into a state of activity by the action of an external object on the sense organs, the idea of the thing was called out of memory into consciousness, by an act of recollection or remembrance, or possibly intution. The idea had been put into the mind by God Him- self before we were born into this world. Thus the mind furnishes, from its own resources, the idea of horse, man, table, as the case may be, and then we know and can say that the object is a horse, or a table, etc. : But in Aristotle's theory, we discriminate at opce, 5 66 THEORIES OF KNOWLEDGE. and in the act of perception, between the properties of the object we see. We see that some are ac- cidental, and others arfe essential. The table, for example, might be of a different color or form, or be standing somewhere else, and yet be a table, and the same table that it is now ; these accidental proper- ties constitute the