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FORE:After definition and division comes reasoning. We arrange objects in classes, that by knowing one or some we may know all. Aristotle attributes to Socrates the first systematic employment of induction as well as of general definitions.96 Nevertheless, his method was not solely inductive, nor did it bear more than a distant resemblance to the induction of modern science. His principles were not gathered from the particular classes of phenomena which they determined, or were intended to determine, but from others of an analogous character which had already been reduced to order. Observing that all handicrafts were practised according to well-defined intelligible rules, leading, so far as they went, to satisfactory results, he required that life in its entirety should be similarly systematised. This was not so much reasoning as a demand for the more extended application of reasoning. It was a truly philosophic postulate, for philosophy is not science, but precedes and underlies it. Belief and action tend to divide themselves into two provinces, of which the one is more or less organised, the other more or less chaotic. We philosophise when we try to bring the one into order, and also when we test the foundations on which the order of the other reposes, fighting both against incoherent mysticism and against traditional routine. Such is the purpose that the most distinguished thinkers of modern times��Francis Bacon, Spinoza, Hume, Kant, Auguste Comte, and Herbert Spencer��however widely they may otherwise differ, have, according to their respective lights, all set themselves to achieve. No doubt, there is149 this vast difference between Socrates and his most recent successors, that physical science is the great type of certainty to the level of which they would raise all speculation, while with him it was the type of a delusion and an impossibility. The analogy of artistic production when applied to Nature led him off on a completely false track, the ascription to conscious design of that which is, in truth, a result of mechanical causation.97 But now that the relations between the known and the unknown have been completely transformed, there is no excuse for repeating the fallacies which imposed on his vigorous understanding; and the genuine spirit of Socrates is best represented by those who, starting like him from the data of experience, are led to adopt a diametrically opposite conclusion. We may add, that the Socratic method of analogical reasoning gave a retrospective justification to early Greek thought, of which Socrates was not himself aware. Its daring generalisations were really an inference from the known to the unknown. To interpret all physical processes in terms of matter and motion, is only assuming that the changes to which our senses cannot penetrate are homogeneous with the changes which we can feel and see. When Socrates argued that, because the human body is animated by a consciousness, the material universe must be similarly animated, Democritus might have answered that the world presents no appearance of being organised like an animal. When he argued that, because statues and pictures are known to be the work of intelligence, the living models from which they are copied must be similarly due to design, Aristod��mus should have answered, that the former are seen to be manufactured, while the others are seen to grow. It might also have been observed, that if our own intelligence requires to be accounted for by a cause like itself, so also does the creative cause, and so on through an infinite regress of antecedents. Teleology has been destroyed by the Darwinian theory; but before the Origin of150 Species appeared, the slightest scrutiny might have shown that it was a precarious foundation for religious belief. If many thoughtful men are now turning away from theism, ��natural theology�� may be thanked for the desertion. ��I believe in God,�� says the German baron in Thorndale, ��until your philosophers demonstrate His existence.�� ��And then?�� asks a friend. ��And then��I do not believe the demonstration.��I now come to speak directly of the present work and its objects. It may be claimed that a book can go no further in treating of mechanical manipulation than principles or rules will reach, and that books must of necessity be confined to what may be called generalities. This is in a sense true, and it is, indeed, a most difficult matter to treat of machine operations and shop processes; but the reason is that machine operations and shop processes have not been reduced to principles or treated in the same way as strains, proportions, the properties of material, and so on. I do not claim that manipulative processes can be so generalised��this would be impossible; yet much can be done, and many things regarded as matters of special knowledge can be presented in a way to come within principles, and thus rendered capable of logical investigation. Donec sit amet ligula enim. Duis vel condimentum massa. Maecenas eget congue dui. Vestibulum et eros consectetur, interdum nibh et, volutpat dolor.