THREE:Plotinus, as we have said, starts with the Aristotelian account of Matter; but by a process of dialectical manipulation, he gradually brings it into almost complete agreement with Platos conception; thus, as usual, mediating between and combining the views of his two great authorities. In the first place, he takes advantage of Aristotles distinction between intelligible and sensible Matter, to strip the latter of that positive and vital significance with which it had been clothed in the Peripatetic system. In the world of Ideas, there is an element common to all specific forms, a fundamental unity in which they meet and inhere, which may without impropriety be called their Matter. But this Matter is an eternal and divine substance, inseparably united with the fixed forms which it supports, and, therefore, something which, equally with them, receives light and life and thought from the central source of being. It is otherwise with sensible Matter, the common substance of the corporeal elements. This is, to use the energetic expression of our philosopher, a decorated corpse.481 It does not remain constantly combined with any form, but is for ever passing from one to another, without manifesting a particular preference for any. As such, it is the absolute negation of Form, and can only be conceived, if at all, by326 thinking away every sensible quality. Neither has it any quantity, for quantity means magnitude, and magnitude implies definite figure. Aristotle opposed to each particular form a corresponding privation, and placed Matter midway between them. Plotinus, on the other hand, identifies Matter with the general privation of all forms. It is at this point that he begins to work his way back to the Platonic notion of Matter as simple extension. There must, after all, be something about Matter which enables it to receive every kind of quality and figure,it must have some sort of mass or bulk, not, indeed, in any definite sense, but with an equal capacity for expansion and for contraction. Now, says Plotinus, the very indeterminateness of Matter is precisely the capacity for extension in all directions that we require. Having no principle of stability, but being borne towards every form, and easily led about in all directions, it acquires the nature of a mass.482Returning 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.
