Deductive Logic by St. George William Joseph Stock
page 86 of 381 (22%)
page 86 of 381 (22%)
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and in a negative proposition may be illustrated to the eye as
follows. To say 'All A is B' may mean either that A is included in B or that A and B are exactly co-extensive. [Illustration] 286. As we cannot be sure which of these two relations of A to B is meant, the predicate B has to be reckoned undistributed, since a term is held to be distributed only when we know that it is used in its whole extent. 287. To say 'No A is B,' however, is to say that A falls wholly outside of B, which involves the consequence that B falls wholly outside of A. [Illustration] 288. Let us now apply the same mode of illustration to the particular forms of proposition. 289. If I be taken in the strictly particular sense, there are, from the point of view of extension, two things which may be meant when we say 'Some A is B'-- (1) That A and B are two classes which overlap one another, that is to say, have some members in common, e.g. 'Some cats are black.' [Illustration] (2) That B is wholly contained in A, which is an inverted way of |
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