The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 17
... requires to be supplemented by two other axioms , which can only be expressed in somewhat awkward language , as follows : - If the first of three things be equal to the second , but the second be unequal to the third , the first is ...
... requires to be supplemented by two other axioms , which can only be expressed in somewhat awkward language , as follows : - If the first of three things be equal to the second , but the second be unequal to the third , the first is ...
Page 49
... require is the description of the term not - B or b ; and by the law of duality this is , in the first place , either A or not - A : ( 2 ) b = Ab | ab . E Substituting for A in ( 2 ) its value as THE TRUE PRINCIPLE OF REASONING . 49.
... require is the description of the term not - B or b ; and by the law of duality this is , in the first place , either A or not - A : ( 2 ) b = Ab | ab . E Substituting for A in ( 2 ) its value as THE TRUE PRINCIPLE OF REASONING . 49.
Page 59
... proposition . " 53. In the last paragraph I alluded to a further mechanical contrivance , in which the combination- . slips of the abacus should not require to be THE TRUE PRINCIPLE OF REASONING . 59 THE LOGICAL MACHINE.
... proposition . " 53. In the last paragraph I alluded to a further mechanical contrivance , in which the combination- . slips of the abacus should not require to be THE TRUE PRINCIPLE OF REASONING . 59 THE LOGICAL MACHINE.
Page 60
... require to be moved by hand , but could be placed in proper order by the successive pressure of a series of keys or handles . I have since made a successful working model of this contrivance , which may be considered a machine capable ...
... require to be moved by hand , but could be placed in proper order by the successive pressure of a series of keys or handles . I have since made a successful working model of this contrivance , which may be considered a machine capable ...
Page 73
... requires a bold legislator to repeal laws for Ireland which it is not intended or desired to repeal for England . 65. Before closing , I should notice that at some period in the obscurity of the Middle Ages an at- tempt seems to have ...
... requires a bold legislator to repeal laws for Ireland which it is not intended or desired to repeal for England . 65. Before closing , I should notice that at some period in the obscurity of the Middle Ages an at- tempt seems to have ...
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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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