Laws of Syllogism deduced from the Elective Calculus.by@georgeboole

Laws of Syllogism deduced from the Elective Calculus.

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It is necessary to recapitulate that quantity (universal and particular) and quality (affirmative and negative) are understood to belong to the terms of propositions which is indeed the correct view.[8] Thus, in the proposition All Xs are Ys, the subject All Xs is universal-affirmative, the predicate (some) Ys particular-affirmative. In the proposition, some Xs are Zs, both terms are particular-affirmative. The proposition No Xs are Zs would in philosophical language be written in the form All Xs are not-Zs. The subject is universal-affirmative, the predicate particular-negative. In the proposition Some Xs are not-Zs are Ys the subject is universal-negative, the predicate particular-affirmative, and so on. In a pair of premises there are four terms, viz. two subjects and two predicates; two of these terms, viz. those involving the Y or not-Y may be called the middle terms, the two others the extremes, one of these involving X or not-X, the other Z or not-Z.

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George Boole: Self-taught English mathematician and first math professor at Queen's College, Cork.


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by George Boole @georgeboole.George Boole: Self-taught English mathematician and first math professor at Queen's College, Cork.
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