The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 4
... considered logic unimproved in his day since the time of Aristotle , and indeed declared that it could not be improved except in perspicuity . But his opinions have not prevented the improve- ment of logical doctrine , and are now ...
... considered logic unimproved in his day since the time of Aristotle , and indeed declared that it could not be improved except in perspicuity . But his opinions have not prevented the improve- ment of logical doctrine , and are now ...
Page 7
... considered , in making the class of metals a part of the class of elements . The verb , or copula , are , denotes inclusion of the metals among the elements . But the subject only is quantified ; for it is stated that all metals are ...
... considered , in making the class of metals a part of the class of elements . The verb , or copula , are , denotes inclusion of the metals among the elements . But the subject only is quantified ; for it is stated that all metals are ...
Page 15
... considered but as applications of a corresponding axiom of quantity ; and the force of the axiom may best be illustrated in the first place by looking at it in its mathematical aspect . 15. The axiom indeed with which Euclid begins to ...
... considered but as applications of a corresponding axiom of quantity ; and the force of the axiom may best be illustrated in the first place by looking at it in its mathematical aspect . 15. The axiom indeed with which Euclid begins to ...
Page 30
... considered an essentially different form . For if , instead of taking A in the previous example iron , we had taken it = A : = some native minerals ; B and C remaining as before , we should then have the conclusion denoting A = ABC ...
... considered an essentially different form . For if , instead of taking A in the previous example iron , we had taken it = A : = some native minerals ; B and C remaining as before , we should then have the conclusion denoting A = ABC ...
Page 60
... considered a machine capable of reasoning , or of replacing almost entirely the action of the mind in drawing inferences . When I have an opportunity of describ- ing the details of its construction , I think it will be found to afford a ...
... considered a machine capable of reasoning , or of replacing almost entirely the action of the mind in drawing inferences . When I have an opportunity of describ- ing the details of its construction , I think it will be found to afford a ...
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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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