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THREE:A band was playing somewhere; there were voices pitched high close by; then came the clear laugh of Lady Longmere.It may be assumed that the same conditions apply to the standards of a common planing machine, but the case is different; the upright framing is easily made strong enough by increasing its depth; but the strain upon running joints is as the distance from them at which a force is applied, or to employ a technical phrase, as the amount of overhang. With a moving platen the larger and heavier a piece to be planed, the more [132] firmly a platen is held down; and as the cross section of pieces usually increases with their depth, the result is that a planing machine properly constructed will act nearly as well on thick as thin pieces.

THREE:The experience of Hobbes differs both in origin and application from either of these. With him, sensible impressions are not a court of appeal against traditional judgments, nor yet are they the ultimate elements into which all ideas may be analysed; they are the channels through which pulsating movements are conveyed into the mind; and these movements, again, represent the action of mechanical forces or the will of a paramount authority. And he holds this doctrine, partly as a logical consequence of his materialism, partly as a safeguard against the theological pretensions which, in his opinion, are a constant threat to social order. The authority of the political sovereign is menaced on the one hand by Papal infallibility, and on the other by rebellious subjects putting forward a claim to supernatural inspiration. To the Pope, Hobbes says: ��You are violating the law of Nature by professing to derive from God what is really given only by the consent of men, and can only be given by them to their temporal head,��the right to impose a particular religion.�� To the Puritan, he says: ��Your inward illumination is a superstitious dream, and you have no right to use it as a pretext for breaking the king��s peace. Religion has really nothing to do with the supernatural; it is only a particular way of inculcating obedience to the natural conditions of social union.��

THREE:It was stated later on that the German authorities punished the culprits and had them executed at Aix-la-Chapelle; De Tijd of August 31st, 1914, also reported it. But the action of these soldiers was not worse than that of generals who had entire cities destroyed and civilians killed by the hundred, but were always screened by the German Government.Pyrrho, who probably no more believed in books than in anything else, never committed his opinions to writing; and what we know of them is derived from the reports of his disciples, which, again, are only preserved in a very incomplete form by the compilers of the empire. According to these, Pyrrho began by declaring that the philosophic problem might be summed up in the three following questions:138 ��What is the nature of things? What should be our relation to them? What is the practical consequence of this determination?�� Of its kind, this statement is probably the best ever framed, and might be accepted with equal readiness by every school of thought. But the scepticism of Pyrrho at once reveals itself in his answer to the first question. We know nothing about things in themselves. Every assertion made respecting them is liable to be contradicted, and neither of the two opposing propositions deserves more credence than the other. The considerations by which Pyrrho attempts to establish this proposition were probably suggested by the systems of Plato and Aristotle. The only possible avenues of communication with the external world are, he tells us, sense and reason. Of these the former was so universally discredited that he seems to have regarded any elaborate refutation of its claims as superfluous. What we perceive by our senses is the appearance, not the reality of things. This is exactly what the Cyrenaics had already maintained. The inadequacy of reason is proved by a more original method. Had men any settled principles of judgment, they would agree on questions of conduct, for it is with regard to these that they are best informed, whereas the great variety of laws and customs shows that the exact opposite is true. They are more hopelessly divided on points of morality than on any other.227 It will be remembered that Pyrrho��s fellow-townsman, Hippias, had, about a hundred years earlier, founded his theory of Natural Law on the arbitrary and variable character of custom. The result of combining his principles with those professed by Protagoras and Gorgias was to establish complete moral scepticism; but it would be a mistake to suppose that moral distinctions had no value for him personally, or that they were neglected in his public teaching.

THREE:It has, until lately, been customary to speak as if all that Aristotle knew about induction was contained in a few scattered passages where it is mentioned under that name in the Analytics. This, no doubt, is true, if by induction we mean simple generalisation. But if we understand by it the philosophy of experimental evidence��the analysis of those means by which, in the absence of direct observation, we decide between two conflicting hypotheses��then the Topics must be pronounced as good a discussion on the subject as was compatible with his general theory of knowledge. For he supposes that there are large classes of phenomena, including, among other things, the whole range of human life, which, not being bound by any fixed order, lie outside the scope of scientific demonstration, although capable of being determined with various degrees of probability; and here also what he has in view is not the discovery of laws, but the construction of definitions. These being a matter of opinion, could always be attacked as well as maintained. Thus the constant conflict and balancing of opposite forces, which we have learned to associate with the sublunary sphere, has its logical representative no less than the kindred ideas of uncertainty and vicissitude. And, in connexion with this side of applied logic, Aristotle has also to consider the requirements of those who took part in the public debates on disputed questions, then very common among educated Athenians, and frequently turning on verbal definitions. Hence, while we find many varieties of reasoning suggested, such as Reasoning by Analogy, Disjunctive Reasoning, Hypothetical Reasoning (though without a generalised expression for all its varieties), and, what is most remarkable, three out of Mill��s four Experimental Methods,288 we do not find that any interesting or395 useful application is made of them. Even considered as a handbook for debaters, the Topics is not successful. With the practical incompetence of a mere naturalist, Aristotle has supplied heads for arguments in such profusion and such utter carelessness of their relative importance that no memory could sustain the burden, except in the probably rare instances when a lifetime was devoted to their study.12