The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 55
... ledges , 3 ft . long , placed 9 in . apart . " 2. Series of flat slips of wood , the smallest set four in number , and other sets , 8 , 16 , and 32 in number , marked with combinations of letters , as follows : - FIRST SET . AB A a ' a ...
... ledges , 3 ft . long , placed 9 in . apart . " 2. Series of flat slips of wood , the smallest set four in number , and other sets , 8 , 16 , and 32 in number , marked with combinations of letters , as follows : - FIRST SET . AB A a ' a ...
Page 56
... ledges of the board , those marked by any given letter may be readily picked out by means of a straight - edged ruler , and re- moved to another ledge . 50. " The use of the abacus will be best shown by an example . Take the syllogism ...
... ledges of the board , those marked by any given letter may be readily picked out by means of a straight - edged ruler , and re- moved to another ledge . 50. " The use of the abacus will be best shown by an example . Take the syllogism ...
Page 77
... ledge that identity is at the bottom of the question . 68. To sum up , we may say that the logicians attempted to reconcile logical with mathematical forms of reasoning , by assuming a canon which is true when applied to quantified ...
... ledge that identity is at the bottom of the question . 68. To sum up , we may say that the logicians attempted to reconcile logical with mathematical forms of reasoning , by assuming a canon which is true when applied to quantified ...
Page 83
... ledge , as at ( 6 ) : the order in which they are placed is not of any essential importance , but it is generally ... ledges , it is evident that we may separate out those marked with A or any capital letter , by inserting the straight ...
... ledge , as at ( 6 ) : the order in which they are placed is not of any essential importance , but it is generally ... ledges , it is evident that we may separate out those marked with A or any capital letter , by inserting the straight ...
Page 84
... ledge . The corresponding negative slips will be left where they were , owing to the absence of pins at the point ... ledge of the board . ( 2 ) Remove the A's to the second ledge . ( 3 ) Out of the A's , remove the B's back to the first ...
... ledge . The corresponding negative slips will be left where they were , owing to the absence of pins at the point ... ledge of the board . ( 2 ) Remove the A's to the second ledge . ( 3 ) Out of the A's , remove the B's back to the first ...
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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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