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it seems likely that he looked on them as an analysis of our ideas, differing only from definition proper by the generality of its application; for he names the law of contradiction as the most important of all axioms, and that from which the others proceed; next to it he places the law of excluded middle, which is also analytical; and his only other example is, that if equals be taken from equals the remainders are equal, a judgment the synthetic character of which is by no means clear, and has occasionally been disputed.2

We cannot, then, agree with those critics who attribute to Aristotle a recognition of such things as 'laws of nature,' in the sense of uniform co-existences and sequences.3 Such an idea implies a certain balance and equality between subject and predicate which he would never have admitted. It would, in his own language, be making relation, instead of substance, the leading category. It must be remembered also that he did not acknowledge the existence of those constant conjunctions in Nature which we call laws. He did not admit that all matter was heavy, or that fluidity implied the presence of heat. The possession of constant properties, or rather of a single constant property-circular rotation-is reserved for the aether. Nor is this a common property of different and indefinitely multipliable phenomena; it characterises a single body, measurable in extent and unique in kind. Moreover,

Metaph., IV., iii., sub in.

2 Anal. Post., I., x.

3 ''Die Wissenschaft soll die Erscheinungen aus ihren Gründen erklären, welche näher in den allgemeinen Ursachen und Gesetzen zu suchen sind' (Zeller, p. 203). Induction is the method of proceeding from particular instances to general laws' (Wallace, p. 13). It seems to have been his [Aristotle's] idea that after gathering facts up to a certain point, a flash of intuition would supervene, telling us "This is a law" (Grant, p. 68). Apropos of the discussion whence this last passage is extracted, we may observe that Sir A. Grant is quite mistaken in saying that Aristotle omits to provide for verification.' Aristotle is, on the contrary, most anxious to show that his theories agree with all the known facts. See in particular his memorable declaration (De Gen. An., III., x., p. 760, b, 27), that facts are more to be trusted than reasonings.

The emphasis laid by Aristotle on concepts as distinguished from laws is noticed by J. H. v. Kirchmann, in his German translation of the Metaphysics, p. 13.

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we have something better than indirect evidence on this point; we have the plain statement of Aristotle himself, that all science depends on first principles, about which it is impossible to be mistaken, precisely because they are universal abstractions not presented to the mind by any combination,'-a view quite inconsistent with the priority now given to general laws.

Answering to the first principles of demonstration in logic, if not absolutely identical with them, are what Aristotle calls causes in the nature of things. We have seen what an important part the middle term plays in Aristotle's theory of the syllogism. It is the vital principle of demonstration, the connecting link by which the two extreme terms are attached to one another. In the theory of applied logic, whose object is to bring the order of thought into complete parallelism with the order of things, the middle term through which a fact is demonstrated answers to the cause through which it exists. According to our notions, only two terms, antecedent and consequent, are involved in the idea of causation; and causation only becomes a matter for reasoning when we perceive that the sequence is repeated in a uniform manner. But Aristotle was very far from having reached, or even suspected, this point of view. A cause is with him not a determining antecedent, but a secret nexus by which the co-existence of two phenomena is explained. Instead of preceding it intercedes; and this is why he finds its subjective counterpart in the middle term of the syllogism. Some of his own examples will make the matter clearer. Why is the moon eclipsed? Because the earth intervenes between her and the sun. Why is the bright side of the moon always turned towards the sun? Because she shines by his reflected light (here light is the middle term). Why is that person talking to the rich man ? Because he wants to borrow money of him. Why are those two men friends? Because they have the same enemy.2

De An., III., vi., sub in., taken together with Anal. Post., I., vi. 2 Anal. Post., I., xxxiv. ; II., ii.

1

Aristotle even goes so far as to eliminate the notion of sequence from causation altogether. He tells us that the causes of events are contemporary with the events themselves; those of past events being past; of present events, present; and of future events, future. This thing will not be because that other thing has happened, for the middle term must be homogeneous with the extremes.' It is obvious that such a limitation abolishes the power of scientific prediction, which, if not the only test of knowledge, is at any rate its most valuable verification. The Stagirite has been charged with trusting too much to deductive reasoning; it now appears that, on the contrary, he had no conception of its most important function. Here, as everywhere, he follows not the synthetic method of the mathematician, but the analytic method of the naturalist. Finally, instead of combining the notions of cause and kind, he systematically confuses them. It will be remembered how his excellent division of causes into material, formal, efficient, and final, was rendered nugatory by the continued influence of Plato's ideas. The formal cause always tended to absorb the other three; and it is by their complete assimilation that he attempts to harmonise the order of demonstration with the order of existence. For the formal cause of a phenomenon simply meant those properties which it shared with others of the same kind, and it was by virtue of those properties that it became a subject for general reasoning, which was interpreted as a methodical arrangement of concepts one within another, answering to the concentric disposition of the cosmic spheres.

Owing to the slight importance which Aristotle attaches to judgments as compared with concepts, he does not go very deeply into the question, how do we obtain our premises? He says, in remarkably emphatic language, that all knowledge is acquired either by demonstration or by induction; or rather, we may add, in the last resort by the latter only, since demon1 Anal. Pust., II., xii., p. 95, a, 36.

stration rests on generals which are discovered inductively; but his generals mean definitions and abstract predicates or subjects, rather than synthetic propositions. If, however, his attention had been called to the distinction, we cannot suppose that he would, on his own principles, have adopted conclusions essentially different from those of the modern experiential school. Mr. Wallace does, indeed, claim him as a supporter of the theory that no inference can be made from particulars to particulars without the aid of a general proposition, and as having refuted, by anticipation, Mill's assertion to the contrary. We quote the analysis which is supposed to prove this in Mr. Wallace's own words :—

We reason that because the war between Thebes and Phocis was a war between neighbours and an evil, therefore the war between Athens and Thebes, being also a war between neighbours, will in all probability be also an evil. Thus, out of the one parallel case— the war between Thebes and Phocis-we form the general proposition, All wars between neighbours are evils; to this we add the minor, the war between Athens and Thebes is a war between neighbours and thence arrive at the conclusion that the war between Athens and Thebes will be likewise an evil.'

On the strength of this Mr. Wallace elsewhere observes :

His [Aristotle's] theory of syllogism is simply an explicit statement of the fact that all knowledge, all thought, rests on universal truths or general propositions—that all knowledge, whether 'deductive' or 'inductive,' is arrived at by the aid, the indispensable aid, of general propositions. We in England have been almost charmed into the belief that reasoning is perpetually from particular to particular, and a 'village matron' and her 'Lucy' have been used to express the truth for us in the concrete form adapted to our weaker comprehension (Mill's Logic, bk. ii. ch. 3). We shall next be told, forsooth, that oxygen and hydrogen do not enter into the composition of water, because our village matron 'perpetually' drinks it without passing through' either element, and the analysis of the chemist will be proved as great a fiction as the analysis of the logician. Aristotle has supplied the links which at once upset all such superficial

Wallace's Outlines, p. 14.

analysis. He has shown that even in analogy or example, which apparently proceeds in this way from one particular instance to another particular instance, we are only justified in so proceeding in so far as we have transformed the particular instance into a general proposition.1

Now, there is this great difference between Aristotle and Mill, that the former is only showing how reasoning from examples can be set forth in syllogistic form, while the latter is investigating the psychological process which underlies all reasoning, and the real foundation on which a valid inference rests-questions which had never presented themselves clearly to the mind of the Greek philosopher at all. Mill argues, in the first instance, that when any particular proposition is deduced from a general proposition, it is proved by the same evidence as that on which the general itself rests, namely, on other particulars; and, so far, he is in perfect agreement with Aristotle. He then argues that inferences from particulars to particulars are perpetually made without passing through a general proposition: and, to illustrate his meaning, he quotes the example of a 'village matron and her Lucy,' to which Mr. Wallace refers with a very gratuitous sneer.2

However, as we have seen, he is not above turning it against Mill. The drift of his own illustration is not very clear, but we suppose it implies that the matron unconsciously frames the general proposition: My remedy is good for all children suffering from the same disease as Lucy; and with equal unconsciousness reasons down from this to the case of her neighbour's child. Now, it is quite unjustifiable to call Mill's analysis superficial because it leaves out of account a hypothesis incompatible with the nominalism which Mill professed. It is still more unjustifiable to quote against it

Ibid., Preface, pp. viii.-ix.

2 As if Mill wrote exclusively for Oxford tutors, and as if other philosophers had not constantly elucidated their arguments by concrete examples. One does not see why the village matron should be more deserving of contempt than Aristotle's Thebans and Phocians.

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