The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 8
... identity of group with group . The proposition becomes an equation of subject and predicate , and the significance of this change will be fully apparent only to those who see that logical science thus acquires a point of contact with ...
... identity of group with group . The proposition becomes an equation of subject and predicate , and the significance of this change will be fully apparent only to those who see that logical science thus acquires a point of contact with ...
Page 12
... identity it implies the inclusion of metals among elements . But it is an accidental pecu- liarity of this form that the dictum only applies usefully in one direction , since if we already know what metals are we must know them to be ...
... identity it implies the inclusion of metals among elements . But it is an accidental pecu- liarity of this form that the dictum only applies usefully in one direction , since if we already know what metals are we must know them to be ...
Page 21
... identity . The truth is , that the formulæ , a > b > c , a < b < c , involve not only two differences , but also one identity in the direction of those differences , where- as the formulæ , a > b < c , a < b > c , appear to fail in ...
... identity . The truth is , that the formulæ , a > b > c , a < b < c , involve not only two differences , but also one identity in the direction of those differences , where- as the formulæ , a > b < c , a < b > c , appear to fail in ...
Page 23
... identities or equalities . 19. Turning now to apply these considerations to the forms of logical inference , my proposed ... identity . The Latin word æqualis , which is the original of our equal , was not restricted in signification to ...
... identities or equalities . 19. Turning now to apply these considerations to the forms of logical inference , my proposed ... identity . The Latin word æqualis , which is the original of our equal , was not restricted in signification to ...
Page 24
... identity may remain as before . Thus the symbols A = B denote the identity of the things represented by the indefinite terms or names A and B. Thus A may be taken in one case to mean Iron , when B might mean the cheapest of the metals ...
... identity may remain as before . Thus the symbols A = B denote the identity of the things represented by the indefinite terms or names A and B. Thus A may be taken in one case to mean Iron , when B might mean the cheapest of the metals ...
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Common terms and phrases
A B C D abacus ABCDE affirmative proposition Algebra analogy applied Aristotle ARISTOTLE'S DICTUM 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 EDUCATIONAL BOOKS Edward Thring ELEMENTARY TREATISE English equal Euclid Examination Papers Examples expression Extra fcap fallacy Fellow of St follows forms of reasoning formula GEOMETRY George Bentham Grammar Head Master hence HISTORY identity illustrated indirect inequalities inference Iron J. S. Mill John's College late Fellow Latin law of duality Laws of Thought ledge logicians ment metals are elements method MIXED MATHEMATICS ordinary oxygen predicate premises problem quantification quantity reader represented Schools Second Edition self-evident SHILLING BOOK slips student substitution of similars syllogism symbols System of Logic thing Third Edition tion triangle true undecomposable substance
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