The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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... explained upon the same principle ; and it is to this difficult task I have devoted the most attention . The new and wonderful results of the late Dr. Boole's mathematical system of Logic appear to develop themselves as.
... explained upon the same principle ; and it is to this difficult task I have devoted the most attention . The new and wonderful results of the late Dr. Boole's mathematical system of Logic appear to develop themselves as.
Page 21
... explain why these do not and the former do , without im- plying the use of an equation or 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 ...
... explain why these do not and the former do , without im- plying the use of an equation or 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 ...
Page 28
... explained by Dr. Boole in his " Laws of Thought ' ( pp . 29 , 30 ) , and also in my " Pure Logic " ( p . 15 ) ; and its truth will be assumed here without further proof . It must be observed , however , that this pro- perty of logical ...
... explained by Dr. Boole in his " Laws of Thought ' ( pp . 29 , 30 ) , and also in my " Pure Logic " ( p . 15 ) ; and its truth will be assumed here without further proof . It must be observed , however , that this pro- perty of logical ...
Page 35
... explain accurately the mode in which this inference seems to be made according to our prin- ciple , let us take = negro , A B = C = fellow - creature , suffering . The premise may be represented as A = AB . Now it is self - evident that ...
... explain accurately the mode in which this inference seems to be made according to our prin- ciple , let us take = negro , A B = C = fellow - creature , suffering . The premise may be represented as A = AB . Now it is self - evident that ...
Page 50
... explaining , in the most complete manner , argu- ments of any degree of complexity . It furnishes , in fact , a complete solution of the problem first propounded and obscurely solved by Dr. Boole : - Given any number of propositions ...
... explaining , in the most complete manner , argu- ments of any degree of complexity . It furnishes , in fact , a complete solution of the problem first propounded and obscurely solved by Dr. Boole : - Given any number of propositions ...
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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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