ONE:Whatever may have been the errors into which Socrates fell, he did not commit the fatal mistake of compromising his ethical doctrine by associating it indissolubly with his metaphysical opinions. Religion, with him, instead of being the source and sanction of all duty, simply brought in an additional dutythat of gratitude to the gods for their goodness. We shall presently see where he sought for the ultimate foundation of morality, after completing our survey of the dialectic method with which it was so closely connected. The induction of Socrates, when it went beyond that kind of analogical reasoning which we have just been considering, was mainly abstraction, the process by which he obtained those general conceptions or definitions which played so great a part in his philosophy. Thus, on comparing the different virtues, as commonly distinguished, he found that they all agreed in requiring knowledge, which he accordingly concluded to be the essence of virtue. So other moralists have been led to conclude that right actions resemble one another in their felicific quality, and In that alone. Similarly, political economists find, or formerly found (for we do not wish to be positive on the matter), that a common characteristic of all industrial employments is the desire to secure the maximum of profit with the minimum of trouble. Another comparison shows that value depends on the relation between supply and demand. Aesthetic enjoyments of every kind resemble one another by including an element of ideal emotion. It is a common characteristic of all cognitions that they are151 constructed by association out of elementary feelings. All societies are marked by a more or less developed division of labour. These are given as typical generalisations which have been reached by the Socratic method. They are all taken from the philosophic sciencesthat is, the sciences dealing with phenomena which are partly determined by mind, and the systematic treatment of which is so similar that they are frequently studied in combination by a single thinker, and invariably so by the greatest thinkers of any. But were we to examine the history of the physical sciences, we should find that this method of wide comparison and rapid abstraction cannot, as Francis Bacon imagined, be successfully applied to them. The facts with which they deal are not transparent, not directly penetrable by thought; hence they must be treated deductively. Instead of a front attack, we must, so to speak, take them in the rear. Bacon never made a more unfortunate observation than when he said that the syllogism falls far short of the subtlety of Nature. Nature is even simpler than the syllogism, for she accomplishes her results by advancing from equation to equation. That which really does fall far short of her subtlety is precisely the Baconian induction with its superficial comparison of instances. No amount of observation could detect any resemblance between the bursting of a thunderstorm and the attraction of a loadstone, or between the burning of charcoal and the rusting a nail.The principal business of reason is, as we have seen, to376 form abstract ideas or concepts of things. But before the time of Aristotle it had already been discovered that concepts, or rather the terms expressing them, were capable of being united in propositions which might be either true or false, and whose truth might be a matter either of certainty or of simple opinion. Now, in modern psychology, down to the most recent times, it has always been assumed that, just as there is an intellectual faculty or operation called abstraction corresponding to the terms of which a proposition is composed, so also there is a faculty or operation called judgment corresponding to the entire proposition. Sometimes, again, the third operation, which consists in linking propositions together to form syllogisms, is assigned to a distinct faculty called reason; sometimes all three are regarded as ascending steps in a single fundamental process. Neither Plato nor Aristotle, however, had thought out the subject so scientifically. To both the framing, or rather the discovery, of concepts was by far the most important business of a philosopher, judgment and reasoning being merely subsidiary to it. Hence, while in one part of their logic they were realists and conceptualists, in other parts they were nominalists. Abstract names and the definitions unfolding their connotation corresponded to actual entities in Naturethe eternal Ideas of the one and the substantial forms of the otheras well as to mental representations about whose existence they were agreed, while ascribing to them a different origin. But they did not in like manner treat propositions as the expression of natural laws without, or of judgments within, the mind; while reasoning they regarded much more as an art of thinking, a method for the discovery of ideas, than as the Systematisation of a process spontaneously performed by every human being without knowing it; and, even as such, their tendency is to connect it with the theory of definition rather than with the theory of synthetic propositions. Some approach to a realistic view is, indeed, made by both. The377 restless and penetrating thought of Plato had, probably towards the close of his career, led him to enquire into the mutual relations of those Ideas which he had at first been inclined to regard as absolutely distinct. He shows us in the Sophist how the most abstract notions, such as Being, Identity, and so forth, must, to a certain extent, partake of each others nature; and when their relationship does not lie on the surface, he seeks to establish it by the interposition of a third idea obviously connected with both. In the later books of the Republic he also points to a scheme for arranging his Ideas according to a fixed hierarchy resembling the concatenation of mathematical proofs, by ascending and descending whose successive gradations the mind is to become familiarised with absolute truth; and we shall presently see how Aristotle, following in the same track, sought for a counterpart to his syllogistic method in the objective order of things. Nevertheless, with him, as well as with his master, science was not what it is with us, a study of laws, a perpetually growing body of truth, but a process of definition and classification, a systematisation of what had already been perceived and thought.