The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 9
... et singulis . And the corresponding Dictum de nullo is similarly- Quicquid de nullo valet , nec de quibusdam nec de singulis valet . In English these dicta are usually stated some- what as THE TRUE PRINCIPLE OF REASONING . 9.
... et singulis . And the corresponding Dictum de nullo is similarly- Quicquid de nullo valet , nec de quibusdam nec de singulis valet . In English these dicta are usually stated some- what as THE TRUE PRINCIPLE OF REASONING . 9.
Page 11
... corresponding manner , the postulate according to which the proposition is to be em- ployed ? Ought we not now to say that whatever is known of either term of the proposition is known and may be asserted of the other ? Does not the ...
... corresponding manner , the postulate according to which the proposition is to be em- ployed ? Ought we not now to say that whatever is known of either term of the proposition is known and may be asserted of the other ? Does not the ...
Page 15
... corresponding parts of mathematical method . All acts of mathematical reasoning may , I believe , be considered but as applications of a corresponding axiom of quantity ; and the force of the axiom may best be illustrated in the first ...
... corresponding parts of mathematical method . All acts of mathematical reasoning may , I believe , be considered but as applications of a corresponding axiom of quantity ; and the force of the axiom may best be illustrated in the first ...
Page 41
... corresponding equation between the negatives of the terms of the original . The general proposition of the form A = B , treated by the fundamental principle of reasoning , informs us that in whatever relation anything stands to A , in ...
... corresponding equation between the negatives of the terms of the original . The general proposition of the form A = B , treated by the fundamental principle of reasoning , informs us that in whatever relation anything stands to A , in ...
Page 56
... Bar- bara : - - " Let Man is mortal , Socrates is man , Therefore Socrates is mortal . A = Socrates , B C = man , = mortal . " The corresponding small italic letters then in- dicate the 56 THE SUBSTITUTION OF SIMILARS ,
... Bar- bara : - - " Let Man is mortal , Socrates is man , Therefore Socrates is mortal . A = Socrates , B C = man , = mortal . " The corresponding small italic letters then in- dicate the 56 THE SUBSTITUTION OF SIMILARS ,
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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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