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ONE:Disjunction is, in truth, the primordial form of all reasoning, out of which the other forms are successively evolved; and, as such, it is common to man with the lower animals. You are taking a walk in the country with your dog. You come to a stream and jump over it. On measuring the distance with his eye, the animal is afraid to follow you. After waiting a little, he first runs up stream in search of a crossing, and, finding none, returns to look for one in the opposite direction. Failing there also, he comes back once more, and either ventures on the leap or makes his way home by some other route. Now, on considering the matter a little more382 closely, we shall find that hypothetical reasoning takes its rise from the examination of each separate alternative presented by a disjunctive premise. A plurality of courses being open to us, we consider what will ensue on the acceptance or rejection of each. The dog in our illustration thinks (after a canine fashion) that if he jumps he may fall in; if he does not, he will be left behind. Hector will not take refuge within the walls, because, if he does, Polydamas will triumph over him; nor will he offer terms of peace, because, if he does, Achilles will refuse them. Once more, categorical reasoning is developed out of hypothetical reasoning by the necessity of deducing consequences from a general rule. Hector must have argued from the known characters of Polydamas and Achilles, that in certain circumstances they would act after a certain manner. We may add, that this progress of conscious reasoning is a reproduction of the unconscious logic according to which life itself is evolved. All sorts of combinations are spontaneously produced, which, in consequence of the struggle for existence, cannot all survive. Those adapted to the conditions of life are selected, on trial, at the expense of the rest; and their adaptation or non-adaptation is determined in accordance with categorical laws. Furthermore, the framing of a disjunctive proposition necessitates the systematic distribution of possibilities under mutually exclusive heads, thus involving the logical processes of definition, division, and classification. Dialectic, as Plato understood it, consisted almost entirely in the joint performance of these operations;��a process which Aristotle regards as the immediate but very imperfect precursor of his own syllogistic method.276 You cannot, he says, prove anything by dividing, for instance, all living things into the two classes, mortal and immortal; unless, indeed, you assume the very point under discussion��to which class a particular species belongs. Yet this is how he constantly reasons himself; and even demonstrative reason383ing, as he interprets it, implies the possession of a ready-made classification. For, according to him, it consists exclusively of propositions which predicate some essential attribute of a thing��in other words, some attribute already included in the definition of the subject; and a continuous series of such definitions can only be given by a fixed classification of things.

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ONE:In a former part of this work455 we found reason to believe that Plato��s supreme good is no other than the Idea of Sameness which occurs in the Sophist and in the Timaeus, where it is correlated with the Idea of Difference; and we also concluded that the divine creator of the last-named dialogue is intended to represent it under a more concrete and popular form.456 We may, perhaps, also discover it in the Limit of the Phil��bus; and if we are to believe what Aristotle tells us about the later teaching of Plato, it seems to have finally coalesced with the Pythagorean One, which combines with the unlimited Dyad to form first number, and then everything else, just as the Same combines with the Different to form existence in the Timaeus.457These she handed up to Ren��, who returned to the dining-room with them. His mood had changed for the moment, but Leona was by no means out of danger yet. He might have been trying her all the time, he might be gloating over his vengeance. If she could only get rid of him, only scare him away.

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ONE:They did not understand, of course, that poor Belgium would have liked nothing better than to remain neutral also.Once upstairs Balmayne followed. There was nobody on the landing.

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