The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 29
... ordinary manner become , in a strictly logical form : - ( 1 ) Iron = metallic iron , ( 2 ) Metal = elementary metal . Now for metal or metallic in ( 1 ) we may substitute its equivalent in ( 2 ) and we obtain ( 3 ) Iron = elementary ...
... ordinary manner become , in a strictly logical form : - ( 1 ) Iron = metallic iron , ( 2 ) Metal = elementary metal . Now for metal or metallic in ( 1 ) we may substitute its equivalent in ( 2 ) and we obtain ( 3 ) Iron = elementary ...
Page 31
... CDE , B = BCDE , A = ABCDE . Or we may get exactly the same conclusion by substitution in a different order , thus : — A = AB = ABC = ABCD = ABCDE . The ordinary statement of the conclusion in ( 5 ) THE TRUE PRINCIPLE OF REASONING . 31.
... CDE , B = BCDE , A = ABCDE . Or we may get exactly the same conclusion by substitution in a different order , thus : — A = AB = ABC = ABCD = ABCDE . The ordinary statement of the conclusion in ( 5 ) THE TRUE PRINCIPLE OF REASONING . 31.
Page 32
... ordinary statement of the conclusion in ( 5 ) is only an indefinite expression of the full description of A given in A = ABCDE . 30. All the affirmative moods of the syllogism may be represented with almost equal clearness and facility ...
... ordinary statement of the conclusion in ( 5 ) is only an indefinite expression of the full description of A given in A = ABCDE . 30. All the affirmative moods of the syllogism may be represented with almost equal clearness and facility ...
Page 34
... ordinary acts of reasoning . 32. Certain forms of so - called immediate inference , chiefly brought into notice in recent times by Dr. Thomson , are readily derived from our principle . Immediate inference by added determinant1 con ...
... ordinary acts of reasoning . 32. Certain forms of so - called immediate inference , chiefly brought into notice in recent times by Dr. Thomson , are readily derived from our principle . Immediate inference by added determinant1 con ...
Page 35
... ordinary words as , A suffering negro is a suffering negro fellow - creature , which differs only from the conclusion as stated by Dr. Thomson by containing the qualification negro in the second member . 33. Immediate inference by ...
... ordinary words as , A suffering negro is a suffering negro fellow - creature , which differs only from the conclusion as stated by Dr. Thomson by containing the qualification negro in the second member . 33. Immediate inference by ...
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Common terms and phrases
A B C D abacus ABCD affirmative proposition Algebra analogy applied Aristotle Aristotle's ARITHMETIC assert axiom BEGINNERS Bentham Boole Boole's BROOKE FOSS WESTCOTT CALCULUS Cambridge canon Christ's College Church Clifton College cloth combinations conclusion CONIC SECTIONS consists copula Crown 8vo denote dictum differs EDUCATIONAL Edward Thring ELEMENTARY TREATISE English equal Euclid Examination Papers Examples expression Extra fcap fallacy Fellow of St follows forms of reasoning formulæ GEOMETRY George Bentham Grammar Head Master hence HISTORY identity illustrated indirect induction inference Iron J. S. Mill John's College late Fellow Latin law of duality Laws of Thought ledge logicians Maps ment metals are elements method MIXED MATHEMATICS ordinary oxygen predicate premises problem quantification quantity reader represented resemblance Schools Second Edition self-evident self-luminous SHILLING BOOK slips student substitution of similars syllogism symbols System of Logic thing Third Edition tion triangle true undecomposable substance
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