ONE:Returning to our more immediate subject, we must observe that the Pythagoreans did not maintain, in anticipation of modern quantitative science, that all things are determined by number, but that all things are numbers, or are made out of numbers, two propositions not easily distinguished by unpractised thinkers. Numbers, in a word, were to them precisely what water had been to Thales, what air was to Anaximenes, the absolute principle of existence; only with them the idea of a limit, the leading inspiration of Greek thought, had reached a higher degree of abstraction. Number was, as it were, the exterior limit of the finite, and the interior limit of the infinite. Add to this that mathematical studies, cultivated in Egypt and Phoenicia for their practical utility alone, were being pursued in Hellas with ever-increasing ardour for the sake of their own delightfulness, for the intellectual discipline that they supplieda discipline even12 more valuable then than now, and for the insight which they bestowed, or were believed to bestow, into the secret constitution of Nature; and that the more complicated arithmetical operations were habitually conducted with the aid of geometrical diagrams, thus suggesting the possibility of applying a similar treatment to every order of relations. Consider the lively emotions excited among an intelligent people at a time when multiplication and division, squaring and cubing, the rule of three, the construction and equivalence of figures, with all their manifold applications to industry, commerce, fine art, and tactics, were just as strange and wonderful as electrical phenomena are to us; consider also the magical influence still commonly attributed to particular numbers, and the intense eagerness to obtain exact numerical statements, even when they are of no practical value, exhibited by all who are thrown back on primitive ways of living, as, for example, in Alpine travelling, or on board an Atlantic steamer, and we shall cease to wonder that a mere form of thought, a lifeless abstraction, should once have been regarded as the solution of every problem, the cause of all existence; or that these speculations were more than once revived in after ages, and perished only with Greek philosophy itself.It is an often-quoted observation of Friedrich Schlegels that every man is born either a Platonist or an Aristotelian. If we narrow the remark to the only class which, perhaps, its author recognised as human beings, namely, all thinking men, it will be found to contain a certain amount of truth, though probably not what Schlegel intended; at any rate something requiring to be supplemented by other truths before its full meaning can be understood. The common opinion seems to be that Plato was a transcendentalist, while Aristotle was an experientialist; and that this constitutes the most typical distinction between them. It would, however, be a mistake to292 suppose that the priori and posteriori methods were marked off with such definiteness in Platos time as to render possible a choice between them. The opposition was not between general propositions and particular facts, but between the most comprehensive and the most limited notions. It was as if the question were now to be raised whether we should begin to teach physiology by at once dividing the organic from the inorganic world, or by directing the learners attention to some one vital act. Now, we are expressly told that Plato hesitated between these two methods; and in his Dialogues, at least, we find the easier and more popular one employed by preference. It is true that he often appeals to wide principles which do not rest on an adequate basis of experimental evidence; but Aristotle does so also, more frequently even, and, as the event proved, with more fatal injury to the advance of knowledge. In his Rhetoric he even goes beyond Plato, constructing the entire art from the general principles of dialectics, psychology, and ethics, without any reference, except for the sake of illustration, to existing models of eloquence.
THREE:The little room was at the top facing the blank windows of the Corner House. Hetty had no difficulty in finding the box, and a very brief search showed the address she was looking for. The box she emptied in the grate and set fire to the contents with a match she had brought for the purpose.The inconsistencies of a great philosophical system are best explained by examining its historical antecedents. We have already attempted to disentangle the roots from which Stoicism was nourished, but one of the most important has not yet been taken into account. This was the still continued influence of Parmenides, derived, if not from his original teaching, then from some one or more of the altered shapes through which it had passed. It has been shown how Zeno used the Heracleitean method to break down all the demarcations laboriously built up by Plato and Aristotle. Spirit was identified with matter; ideas with aerial currents; God with the world; rational with sensible evidence; volition with judgment; and emotion with thought. But the idea of a fundamental antithesis, expelled from every other department of enquiry, took hold with all the more energy on what, to Stoicism, was the most vital of all distinctionsthat between right and wrong.57 Once grasp this transformation of a metaphysical into a moral principle, and every paradox of the system will be seen to follow from it with logical necessity. What the supreme Idea had been to Plato and self-thinking thought to Aristotle, that virtue became to the new school, simple, unchangeable, and self-sufficient. It must not only be independent of pleasure and pain, but absolutely 26incommensurable with them; therefore there can be no happiness except what it gives. As an indivisible unity, it must be possessed entirely or not at all; and being eternal, once possessed it can never be lost. Further, since the same action may be either right or wrong, according to the motive of its performance, virtue is nothing external, but a subjective disposition, a state of the will and the affections; or, if these are to be considered as judgments, a state of the reason. Finally, since the universe is organised reason, virtue must be natural, and especially consonant to the nature of man as a rational animal; while, at the same time, its existence in absolute purity being inconsistent with experience, it must remain an unattainable ideal.
