So far, we have spoken as if the Socratic definitions were merely verbal; they were, however, a great deal more, and their author did not accurately discriminate between what at that stage of thought could not well be kept apart—explanations of words, practical reforms, and scientific generalisations. For example, in defining a ruler to be one who knew more than other men, he was departing from the common usages of language, and showing not what was, but what ought to be true.93 And in defining virtue as wisdom, he was putting forward a new theory of his own, instead of formulating the received connotation of a term. Still, after making every deduction, we cannot fail to perceive what an immense service was rendered to exact thought by introducing definitions of every kind into that department of enquiry where they were chiefly needed. We may observe also that a general law of Greek intelligence was here realising itself in a new direction. The need of accurate determination had always been felt, but hitherto it had worked under the more elementary forms of time, space, and causality, or, to employ the higher generalisation of modern psychology, under the form of contiguous association. The earlier cosmologies were all processes of circumscription; they were attempts to fix the limits of the universe, and, accordingly, that element which was supposed to surround the others was also conceived as their producing cause, or else (in the theory of Heracleitus) as typifying the rationale of their continuous transformation. For this reason Parmenides, when he identified existence with extension, found himself obliged to declare that extension was necessarily limited. Of all the physical thinkers, Anaxagoras, who immediately precedes Socrates, approaches, on the objective side, most nearly to his standpoint. For the governing Nous brings order out of chaos by segregating the confused elements, by separating the unlike and drawing the like together, which is precisely what definition does for our conceptions. Meanwhile Greek literature had been performing the same task in a more restricted province, first fixing events according to their geographical and historical positions, then assigning to each its proper cause, then, as Thucydides does, isolating the most important groups of events from their external connexions, and analysing the causes of complex changes into different classes of antecedents. The final revolution effected by Socrates was to substitute arrangement by difference and resemblance for arrangement by contiguity in coexistence and succession. To say that by so doing he created science is inexact, for science requires to consider nature under every aspect, including those which he systematically neglected; but we may say that he introduced the method which is most particularly applicable to mental phenomena, the method of ideal analysis, classification, and reasoning. For, be it observed that Socrates did not limit himself to searching for the One in the Many, he also, and perhaps more habitually, sought for the Many in the One. He would take hold of a conception and analyse it into its various notes, laying them, as it were, piecemeal before his interlocutor for separate acceptance or rejection. If, for example, they could not agree about the relative merits of two citizens, Socrates would decompose the character of a good citizen into its component parts and bring the comparison down to them. A good citizen, he would say, increases the national resources by his administration of the finances, defeats the enemy abroad, wins allies by his diplomacy, appeases dissension by his eloquence at home.94 When the shy and gifted Charmides shrank from addressing a public audience on public questions, Socrates strove to overcome his nervousness by mercilessly subdividing the august Ecclêsia into its constituent classes. ‘Is it the fullers that you are afraid of?’ he asked, ‘or the leather-cutters, or the masons, or the smiths, or the husbandmen, or the traders, or the lowest class of hucksters?’95 Here the analytical power of Greek thought is manifested with still more searching effect than when it was applied to space and motion by Zeno.
Nor did Socrates only consider the whole conception in relation to its parts, he also grouped conceptions together according to their genera and founded logical classification. To appreciate the bearing of this idea on human interests it will be enough to study the disposition of a code. We shall then see how much more easy it becomes to bring individual cases under a general rule, and to retain the whole body of rules in our memory, when we can pass step by step from the most universal to the most particular categories. Now, it was by jurists versed in the Stoic philosophy that Roman law was codified, and it was by Stoicism that the traditions of Socratic philosophy were most faithfully preserved.
Logical division is, however, a process not fully represented by any fixed and formal distribution of topics, nor yet is it equivalent to the arrangement of genera and species according to their natural affinities, as in the admirable systems of Jussieu and Cuvier. It is something much more flexible and subtle, a carrying down into the minutest detail, of that psychological law which requires, as a condition of perfect consciousness, that feelings, conceptions, judgments, and, generally speaking, all mental modes should be apprehended together with their contradictory opposites. Heracleitus had a dim perception of this truth when he taught the identity of antithetical couples, and it is more or less vividly illustrated by all Greek classic literature after him; but Socrates seems to have been the first who transformed it from a law of existence into a law of cognition; with him knowledge and ignorance, reason and passion, freedom and slavery, virtue, and vice, right and wrong (πολλῶν ὀνομάτων μορφὴ μία) were apprehended in inseparable connexion, and were employed for mutual elucidation, not only in broad masses, but also through their last subdivisions, like the delicate adjustments of light and shade on a Venetian canvas. This method of classification by graduated descent and symmetrical contrast, like the whole dialectic system of which it forms a branch, is only suited to the mental phenomena for which it was originally devised; and Hegel committed a fatal error when he applied it to explain the order of external coexistence and succession. We have already touched on the essentially subjective character of the Socratic definition, and we shall presently have to make a similar restriction in dealing with Socratic induction. With regard to the question last considered, our limits will not permit us, nor, indeed, does it fall within the scope of our present study, to pursue a vein of reflection which was never fully worked out either by the Athenian philosophers or by their modern successors, at least not in its only legitimate direction.
After definition and division comes reasoning. We arrange objects in classes, that by knowing one or some we may know all. Aristotle attributes to Socrates the first systematic employment of induction as well as of general definitions.96 Nevertheless, his method was not solely inductive, nor did it bear more than a distant resemblance to the induction of modern science. His principles were not gathered from the particular classes of phenomena which they determined, or were intended to determine, but from others of an analogous character which had already been reduced to order. Observing that all handicrafts were practised according to well-defined intelligible rules, leading, so far as they went, to satisfactory results, he required that life in its entirety should be similarly systematised. This was not so much reasoning as a demand for the more extended application of reasoning. It was a truly philosophic postulate, for philosophy is not science, but precedes and underlies it. Belief and action tend to divide themselves into two provinces, of which the one is more or less organised, the other more or less chaotic. We philosophise when we try to bring the one into order, and also when we test the foundations on which the order of the other reposes, fighting both against incoherent mysticism and against traditional routine. Such is the purpose that