A Manual of Logic

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And thus, lastly, being young or old, tall or short, rich or poor, digging in his garden, or asleep in his bed, and so forth, can be predicated as an accident of the subject, man. Such doctrine under the first and second of the assumed three operations of the mind, fur- Sec. 4. 1 SYLLOGISM OF FORMAL LOGIC. 221 nishes the ground . For constructing the formal syllogism ; by which, as already said, when the judgement cannot pronounce on the agreement or disagreement of two ideas, it is proposed to... demonstrate their agreement through the instrumentality of a third idea. To a demonstration an axiom is necessary ; and the axiom of the formal syllogism is the dictum de omni et nullo ; whose purport is, that whatever is affirmed or denied of all the members of a doss, may be affirmed or denied of every member of it ; where, be it observed, the word all is required to be understood distributively, and not collectively ; so that a less equivocal statement of the axiom is this Whatever is affirmed or denied of every member of a class, is affirmed or de- nied of every member of it ; as pure an axiom, no doubt, as another often referred to, namely, Whatever is, is.

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