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THREE:CHAPTER XVII. MACHINERY FOR MOVING AND HANDLING MATERIAL. We reason that because the war between Thebes and Phocis was a war between neighbours and an evil, therefore the war between Athens and Thebes, being also a war between neighbours, will in all probability be also an evil. Thus, out of the one parallel case��the war between Thebes and Phocis��we form the general proposition, All wars between neighbours are evils; to this we add the minor, the war between Athens and Thebes is a war between neighbours��and thence arrive at the conclusion that the war between Athens and Thebes will be likewise an evil.283

FORE:While Plato identified the individual with the community by slurring over the possible divergence of their interests, he still further contributed to their logical confusion by resolving the ego into a multitude of conflicting faculties and impulses supposed to represent the different classes of which a State is made up. His opponents held that justice and law emanate from the ruling power in the body politic; and they were brought to admit that supreme power is properly vested in the wisest and best citizens. Transferring these principles to the inner forum, he maintained that a psychological aristocracy could only be established by giving reason a similar control over the animal passions.141 At first sight, this seemed to imply no more than a return to the standpoint of Socrates, or of Plato himself in the Protagoras. The man who indulges his desires within the limits prescribed by a regard for their safe satisfaction through his whole life, may be called temperate and reasonable, but he is not necessarily just. If, how233ever, we identify the paramount authority within with the paramount authority without, we shall have to admit that there is a faculty of justice in the individual soul corresponding to the objective justice of political law; and since the supreme virtue is agreed on all hands to be reason, we must go a step further and admit that justice is reason, or that it is reasonable to be just; and that by consequence the height of injustice is the height of folly. Moreover, this fallacious substitution of justice for temperance was facilitated by the circumstance that although the former virtue is not involved in the latter, the latter is to a very great extent involved in the former. Self-control by no means carries with it a respect for the rights of others; but where such respect exists it necessitates a considerable amount of self-control.

TWO:Judged upon theoretical grounds, and leaving out the mechanical conditions of operation, it would at once be conceded that a proper plan would be to move the lightest body; that is, if the tools and their attachments were heavier than the material to be acted upon, then the material should be moved for the cutting action, and vice versa. But in practice there are other conditions to be considered more important than a question of the relative weight of reciprocating parts; and it must be remembered that in solving any problem pertaining to machine action, the conditions of operation are to be considered first and have precedence over problems of strain, arrangement, or even the general principles of construction; that is, the conditions of operating must form a base from which proportions, arrangements, and so on, must be deduced. A standard planing machine, such as is employed for most kinds of work, is arranged with a running platen or carriage upon which the material is fastened and traversed beneath the cutting tools. [130] The uniformity of arrangement and design in machines of this kind in all countries wherever they are made, must lead to the conclusion that there are substantial reasons for employing running platens instead of giving a cutting movement to the tools.Meanwhile Atomism continued to exercise a powerful influence on the method even more than on the doctrines of science. The analytical mode of treatment, applied by Galileo to dynamics, was applied, with equal success, by other mathematicians, to the study of discrete and continuous quantity. It is to the division of numbers and figures into infinitesimal parts��a direct contravention of Aristotle��s teaching��that we owe logarithms, algebraic geometry, and the differential calculus. Thus was established a connexion between spiritualism and materialism, the philosophy of Plato and the philosophy of Democritus. Out of these elements, together with what still survived of Aristotelianism, was constructed the system of Descartes.

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