TWO:The term gearing, which was once applied to wheels, shafts, and the general mechanism of mills and factories, has now in common use become restricted to tooth wheels, and is in this sense employed here. Gearing as a means of transmitting motion is employed when the movement of machines, or the parts of machines, must remain relatively the same, as in the case of the traversing screw of an engine lathewhen a heavy force is transmitted between shafts that are near to each other, or when shafts to be connected are arranged at angles with each other. This rule is of course not constant, except as to cases where positive relative motion has to be maintained. Noise, and the liability to sudden obstruction, may be reasons for not employing tooth wheels in many cases when the distance between and the position of shafts would render such a connection the most durable and cheap. Gearing under ordinary strain, within limited speed, and when other conditions admit of its use, is the cheapest and most durable mechanism for transmitting power; but the amount of gearing employed in machinery, especially in Europe, is no doubt far greater than it will be in future, when belts are better understood.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 timesFrancis Bacon, Spinoza, Hume, Kant, Auguste Comte, and Herbert Spencerhowever 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, Aristodmus 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 thenI do not believe the demonstration.
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