The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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... AXIOMS OF EQUALITY GENERAL FORMULA OF MATHEMATICAL INFERENCE PAGE I 4 5 7 99 9 II 15 19 INFERENCE BY INEQUALITIES . 20 SUBSTITUTION OF EQUALS OR SIMILARS 23 GENERAL FORMULA OF LOGICAL INFERENCE 24 EXAMPLES OF LOGICAL SUBSTITUTION . 25 ...
... AXIOMS OF EQUALITY GENERAL FORMULA OF MATHEMATICAL INFERENCE PAGE I 4 5 7 99 9 II 15 19 INFERENCE BY INEQUALITIES . 20 SUBSTITUTION OF EQUALS OR SIMILARS 23 GENERAL FORMULA OF LOGICAL INFERENCE 24 EXAMPLES OF LOGICAL SUBSTITUTION . 25 ...
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... AXIOMS OF EQUALITY " " GENERAL FORMULA OF MATHEMATICAL INFERENCE INFERENCE BY INEQUALITIES . I 4 5 7 9 II 15 19 20 SUBSTITUTION OF EQUALS OR SIMILARS 23 GENERAL FORMULA OF LOGICAL INFERENCE 24 EXAMPLES OF LOGICAL SUBSTITUTION . 25 MOODS ...
... AXIOMS OF EQUALITY " " GENERAL FORMULA OF MATHEMATICAL INFERENCE INFERENCE BY INEQUALITIES . I 4 5 7 9 II 15 19 20 SUBSTITUTION OF EQUALS OR SIMILARS 23 GENERAL FORMULA OF LOGICAL INFERENCE 24 EXAMPLES OF LOGICAL SUBSTITUTION . 25 MOODS ...
Page 9
... axiom was perfectly adapted to this view . The so - called Dictum de omni is , in Latin phrase , as follows- Quicquid de omni valet , valet etiam de quibusdam et singulis . And the corresponding Dictum de nullo is similarly- Quicquid de ...
... axiom was perfectly adapted to this view . The so - called Dictum de omni is , in Latin phrase , as follows- Quicquid de omni valet , valet etiam de quibusdam et singulis . And the corresponding Dictum de nullo is similarly- Quicquid de ...
Page 15
... axiom of quantity ; and the force of the axiom may best be illustrated in the first place by looking at it in its mathematical aspect . 15. The axiom indeed with which Euclid begins to build presents at first sight little or no resem ...
... axiom of quantity ; and the force of the axiom may best be illustrated in the first place by looking at it in its mathematical aspect . 15. The axiom indeed with which Euclid begins to build presents at first sight little or no resem ...
Page 16
... axiom asserts that Things equal to the same thing are equal to each other . In symbols , a = b = c gives a = c . Here two equations are apparently necessary in order that an inference may be evolved ; and there is something peculiar ...
... axiom asserts that Things equal to the same thing are equal to each other . In symbols , a = b = c gives a = c . Here two equations are apparently necessary in order that an inference may be evolved ; and there is something peculiar ...
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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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