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FORE:Driven by Christian intolerance from every other centre of civilisation, Greek philosophy found a last refuge in Athens, where it continued to be taught through the whole of the fifth century and the first quarter of the sixth. During that period, all the tendencies already indicated as characteristic of Neo-Platonism exhibited themselves once more, and contributed in about equal degrees to the versatile activity of its last original representative, Proclus (410-485). This remarkable man offers one of the most melancholy examples of wasted power to be found in the history of thought. Endowed with an enormous faculty for acquiring knowledge, a rare subtlety in the analysis of ideas, and an unsurpassed genius for their systematic arrangement, he might, under more favourable359 auspices, have been the Laplace or Cuvier of his age. As it was, his immense energies were devoted to the task of bringing a series of lifeless abstractions into harmony with a series of equally lifeless superstitions. A commentator both on Euclid and on Plato, he aspired to present transcendental dialectic under the form of mathematical demonstration. In his Institutes of Theology, he offers proofs equally elaborate and futile of much that had been taken for granted in the philosophy of Plotinus. Again, where there seems to be a gap in the system of his master, he fills it up by inserting new figments of his own. Thus, between the super-essential One and the absolute Nous, he interposes a series of henads or unities, answering to the multiplicity of intelligences or self-conscious Ideas which Plotinus had placed within the supreme Reason, or to the partial souls which he had placed after the world-soul. In this manner, Proclus, following the usual method of Greek thought, supplies a transition from the creative One to the Being which had hitherto been regarded as its immediate product; while, at the same time, providing a counterpart to the many lesser gods with which polytheism had surrounded its supreme divinity. Finally, as Plotinus had arranged all things on the threefold scheme of a first principle, a departure from that principle, and a subsequent reunion with it, Proclus divides the whole series of created substances into a succession of triads, each reproducing, on a small scale, the fundamental system of an origin, a departure, and a return. And he even multiplies the triads still further by decomposing each separate moment into a secondary process of the same description. For example, Intelligence as a whole is divided into Being, Life, and Thought, and the first of these, again, into the Limit, the Unlimited, and the absolute Existence (ο?σ?α), which is the synthesis of both. The Hegelian system is, as is well known, constructed on a similar plan; but while with Hegel the logical evolution is a progress from lower to higher and360 richer life, with Proclus, as with the whole Neo-Platonic school, and, indeed, with almost every school of Greek thought, each step forward is also a step downward, involving a proportionate loss of reality and power.5. Every part laid down has something to govern it that may be termed a "base"��some condition of function or position which, if understood, will suggest size, shape, and relation to other parts. By searching after a base for each and every part and detail, the draughtsman proceeds upon a regular system, continually maintaining a test of what is done. Every wheel, shaft, screw or piece of framing should be made with a clear view of the functions it has to fill, and there are, as before said, always reasons why such parts should be of a certain size, have such a speed of movement, or a certain amount of bearing surface, and so on. These reasons or conditions may be classed as expedient, important, or essential, and must be estimated accordingly. As claimed at the beginning, the designs of machines can only in a limited degree be determined by mathematical data. Leaving out all considerations of machine operation with which books have scarcely attempted to deal, we have only to refer to the element of strains to verify the general truth of the proposition.

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