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THREE:To understand Descartes aright, we must provisionally disregard the account given in his work on Method of the process by which he arrived at a new theory of the world; for, in truth, there was nothing new about it except the pro388portion in which fragments taken from older systems were selected and recombined. As we have already noticed, there is no such thing as spinning philosophies out of ones own head; and, in the case of Descartes, even the belief that he was so doing came to him from Plato; for, along with Aristotles dogmatic errors, his sound teaching with regard to the derivation of knowledge had fallen into oblivion. The initial doubt of the Discourse on Method and the Meditations is also Platonic; only it is manifested under an individual and subjective, instead of a universal and objective form. But to find the real starting-point of Descartes enquiries we must look for it in his mathematical studies. A geometrician naturally conceives the visible world under the aspect of figured extension; and if he thinks the figures away, nothing will remain but extension as the ultimate material out of which all determinate bodies are shaped. Such was the result reached by Plato in his Timaeus. He identified matter with space, viewing this as the receptacle for his eternal and self-existent Ideas, or rather the plastic medium on which their images are impressed. The simplest spatial elements are triangles; accordingly it is with these that he constructs his solid bodies. The theory of triangular elements was probably suggested by Atomism; it is, in fact, a compromise between the purely mathematical and the materialistic methods. Like all Platos fancies, this theory of matter was attacked with such convincing arguments by Aristotle that, so long as his physics remained in the ascendent, it did not find a single supporter; although, as we saw in the last chapter, Plotinus very nearly worked his way back to it from the Peripatetic definition. Even now, at the moment of Aristotles fall, it might have failed to attract attention, had not the conditions under which it first arose been almost exactly repeated. Geometrical demonstration had again become the type of all reasoning; there was again a sceptical spirit abroad, forcing men to fall back on the most elementary and universal con389ceptions; an atomistic materialism again threatened to claim at least the whole field of physical enquiry for its own. That Descartes followed the Timaeus in identifying matter with extension cannot be doubted; especially when we see that he adopts Platos analysis of body into elementary triangles; but the theory agreed so well with his intellectual predispositions that he may easily have imagined it to be a necessary deduction from his own priori ideas. Moreover, after the first two steps, he parts company with Plato, and gives himself up, so far as his rejection of a vacuum will permit, to the mechanical physics of Democritus. Much praise has recently been bestowed on his attempt to interpret all physical phenomena in terms of matter and motion, and to deduce them from the unaided operation of natural causes; but this is no more than had been done by the early Greek thinkers, from whom, we may observe, his hypothesis of an initial vortex was also derived. His cosmogony is better than theirs, only in so far as it is adapted to scientific discoveries in astronomy and physiology not made by Descartes himself; for where his conjectures go beyond these they are entirely at fault.Suddenly the silence was broken by a laugh. It was the croaking kind of laugh that could only have proceeded from the lips of an old man. But there was pleasure in it. It came strangely after the note of tragedy that had dominated the evening. A door opened somewhere, and the laugh came once more.

By Elena Smith

The rules for breeding and education set forth in the Republic are not intended for the whole community, but only244 for the ruling minority. It was by the corruption of the higher classes that Plato was most distressed, and the salvation of the State depended, according to him, on their reformation. This leads us on to his scheme for the reconstitution of society. It is intimately connected with his method of logical definition and classification. He shows with great force that the collective action of human beings is conditioned by the division of labour; and argues from this that every individual ought, in the interest of the whole, to be restricted to a single occupation. Therefore, the industrial classes, who form the bulk of the population, are to be excluded both from military service and from political power. The Peloponnesian War had led to a general substitution of professional soldiers for the old levies of untrained citizens in Greek warfare. Plato was deeply impressed by the dangers, as well as by the advantages, of this revolution. That each profession should be exercised only by persons trained for it, suited his notions alike as a logician, a teacher, and a practical reformer. But he saw that mercenary fighters might use their power to oppress and plunder the defenceless citizens, or to establish a military despotism. And, holding that government should, like strategy, be exercised only by functionaries naturally fitted and expressly trained for the work, he saw equally that a privileged class would be tempted to abuse their position in order to fill their pockets and to gratify their passions. He proposed to provide against these dangers, first by the new system of education already described, and secondly by pushing the division of labour to its logical conclusion. That they might the better attend to their specific duties, the defenders and the rulers of the State were not to practise the art of money-making; in other words, they were not to possess any property of their own, but were to be supported by the labour of the industrial classes. Furthermore, that they need not quarrel among themselves, he proposed that every private interest should be eliminated245 from their lives, and that they should, as a class, be united by the closest bonds of family affection. This purpose was to be effected by the abolition of marriage and of domesticity. The couples chosen for breeding were to be separated when the object of their union had been attained; children were to be taken from their mothers immediately after birth and brought up at the expense and under the supervision of the State. Sickly and deformed infants were to be destroyed. Those who fell short of the aristocratic standard were to be degraded, and their places filled up by the exceptionally gifted offspring of low-class parents. Members of the military and governing caste were to address each other according to the kinship which might possibly exist between them. In the absence of home-employments, women were to be, so far as possible, assimilated to men; to pass through the same bodily and mental training; to be enrolled in the army; and, if they showed the necessary capacity, to discharge the highest political functions. In this practical dialectic the identifying no less than the differentiating power of logic is displayed, and displayed also in defiance of common ideas, as in the modern classifications of zoology and botany. Plato introduces distinctions where they did not before exist, and annuls those which were already recognised. The sexes were to be assimilated, political life was to be identified with family life, and the whole community was to present an exact parallel with the individual soul. The ruling committee corresponded to reason, the army to passionate spirit, and the industrial classes to the animal desires; and each, in its perfect constitution, represented one of the cardinal virtues as reinterpreted by Plato. Wisdom belonged to the ruling part, courage to the intermediate executive power, and temperance or obedience to the organs of material existence; while justice meant the general harmony resulting from the fulfilment of their appropriate functions by all. We may add that the whole State reproduced the Greek family in a much246 deeper sense than Plato himself was aware of. For his aristocracy represents the man, whose virtue, in the words of Gorgias, was to administer the State; and his industrial class takes the place of the woman, whose duty was to order her house, and keep what is indoors, and obey her husband.146These different plans will be considered first in reference to the effect produced upon the movement of carriages; this includes friction, endurance of wear, rigidity of tools, convenience of operating and the cost of construction. The cutting point in both turning and boring on a slide lathe is at the side of a piece, or nearly level with the lathe centres, and any movement of a carriage horizontally across the lathe affects the motion of the tool [124] and the shape of the piece acted upon, directly to the extent of such deviation, so that parallel turning and boring depend mainly upon avoiding any cross movement or side play of a carriage. This, in both theory and practice, constitutes the greatest difference between flat top and track shears; the first is arranged especially to resist deviation in a vertical plane, which is of secondary importance, except in boring with a bar; the second is arranged to resist horizontal deviation, which in nine-tenths of the work done on lathes becomes an exact measure of the inaccuracy of the work performed.After resolving virtue into knowledge of pleasure, the next questions which would present themselves to so keen a thinker were obviously, What is knowledge? and What is pleasure? The Theaettus is chiefly occupied with a discussion of the various answers already given to the first of these enquiries. It seems, therefore, to come naturally next after the Protagoras; and our conjecture receives a further confirmation when we find that here also a large place is given to the opinions of the Sophist after whom that dialogue is named; the chief difference being that the points selected for controversy are of a speculative rather than of a practical character. There is, however, a close connexion between the argument by which Protagoras had endeavoured to prove that all mankind are teachers of virtue, and his more general principle that man is the measure of all things. And perhaps it was the more obvious difficulties attending the latter view which led Plato, after some hesitation, to reject the former along206 with it. In an earlier chapter we gave some reasons for believing that Protagoras did not erect every individual into an arbiter of truth in the sweeping sense afterwards put upon his words. He was probably opposing a human to a theological or a naturalistic standard. Nevertheless, it does not follow that Plato was fighting with a shadow when he pressed the Protagorean dictum to its most literal interpretation. There are plenty of people still who would maintain it to that extent. Wherever and whenever the authority of ancient traditions is broken down, the doctrine that one mans opinion is as good as anothers immediately takes its place; or rather the doctrine in question is a survival of traditionalism in an extremely pulverised form. And when we are told that the majority must be rightwhich is a very different principle from holding that the majority should be obeyedwe may take it as a sign that the loose particles are beginning to coalesce again. The substitution of an individual for a universal standard of truth is, according to Plato, a direct consequence of the theory which identifies knowledge with sense-perception. It is, at any rate, certain that the most vehement assertors of the former doctrine are also those who are fondest of appealing to what they and their friends have seen, heard, or felt; and the more educated among them place enormous confidence in statistics. They are also fond of repeating the adage that an ounce of fact is worth a ton of theory, without considering that theory alone can furnish the balance in which facts are weighed. Plato does not go very deep into the rationale of observation, nor in the infancy of exact science was it to be expected that he should. He fully recognised the presence of two factors, an objective and a subjective, in every sensation, but lost his hold on the true method in attempting to trace a like dualism through the whole of consciousness. Where we should distinguish between the mental energies and the physical processes underlying them, or between the207 elements respectively contributed to every cognition by immediate experience and reflection, he conceived the inner and outer worlds as two analogous series related to one another as an image to its original.But Bruce knew nothing of this change of things. He was utterly puzzled. As he walked home he could make nothing of it. Hetty's story was too circumstantial to be anything but absolutely true. There must have been some strong reason for this change of part. Perhaps Lawrence could throw some light on it. He might even know the man Maitrank. At any rate he was on very friendly terms with Isaac Isidore, who would be sure to have the names of all the European capitalists at his fingers' ends.Lige now loomed up in the distance, and the nearer I got, the more civilians I met. They all wore a white armlet, and walked timidly and nervously by the side of the road or street, starting at39 each thunder-clap of the guns. Near the entrance to the town a small crowd stood on one of the hills, looking at a flying-machine moving from fort to fort and over the city, obviously investigating the effect of the German siege-guns.
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