Page:O. F. Owen's Organon of Aristotle Vol. 1 (1853).djvu/184

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cated of all these A is predicated also, and if B is predicated of every, A will also thus be predicated, but if it is not predicated of every individual it is not necessary that A should be predicated of every individual.

Still we need not imagine that any absurdity will occur from this exposition, for we do not use the expression that this is a particular definite thing, but as a geometrician says that this is a foot in length, is a straight line, and is without breadth though it is not so, he does not however so use them, as if he inferred from these. In a word, that which is not as a whole to a part, and something else in reference to this as a part to a whole, from nothing of these can a demonstrator demonstrate, wherefore neither is there a syllogism, but we use exposition as we do sense when we address a learner, since we do not (use it) so as if it were impossible to be demonstrated without these, as (we use propositions) from which a syllogism is constructed.

Chapter 42

Let us not forget that all conclusions in the same syllogism are not produced by one figure, but one through this figure, and another through that, so that clearly we must make the resolutions in the same manner, but since not every problem is proved in every figure, but arranged in each, it is evident from the conclusion in what figure the inquiry must be made.