The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 8
... 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 mathematical science . Nor is it only in a single point that ...
... 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 mathematical science . Nor is it only in a single point that ...
Page 11
... equation of two terms , formerly called the subject and predicate , but which , in becoming equal to each other , cease to be distinguishable as such , and become convertible . Should not logicians have altered , at the same time and in ...
... equation of two terms , formerly called the subject and predicate , but which , in becoming equal to each other , cease to be distinguishable as such , and become convertible . Should not logicians have altered , at the same time and in ...
Page 14
... edifice from the very foundation . 14. I am thus led to take the equation as the fundamental form of reasoning , and to modify Aristotle's dictum in accordance therewith . may then be formulated 14 THE SUBSTITUTION OF SIMILARS ,
... edifice from the very foundation . 14. I am thus led to take the equation as the fundamental form of reasoning , and to modify Aristotle's dictum in accordance therewith . may then be formulated 14 THE SUBSTITUTION OF SIMILARS ,
Page 16
... equations are apparently necessary in order that an inference may be evolved ; and there is something peculiar about the ... equation no inference at all can be drawn . Thus if we use the sign to denote the existence of an inequality or ...
... equations are apparently necessary in order that an inference may be evolved ; and there is something peculiar about the ... equation no inference at all can be drawn . Thus if we use the sign to denote the existence of an inequality or ...
Page 17
... equation ab , the second equation b c being that in which substitution is C effected . One equation is active and the other is THE TRUE PRINCIPLE OF REASONING . 17.
... equation ab , the second equation b c being that in which substitution is C effected . One equation is active and the other is THE TRUE PRINCIPLE OF REASONING . 17.
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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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