The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 68
... question if its results are worth studying and mastering for any practical purpose . " In these and many other places Mr. Mill shows a lamentable want of power of appreciating the principles involved in the quantification of the ...
... question if its results are worth studying and mastering for any practical purpose . " In these and many other places Mr. Mill shows a lamentable want of power of appreciating the principles involved in the quantification of the ...
Page 69
... question , which can often only be ascertained with more or less probability 1 " Laws of Thought , " fifth ed . p . 251 . by inductive inquiry . He adds , that the expression THE TRUE PRINCIPLE OF REASONING . 69 DR THOMSON'S SYLLOGISM ...
... question , which can often only be ascertained with more or less probability 1 " Laws of Thought , " fifth ed . p . 251 . by inductive inquiry . He adds , that the expression THE TRUE PRINCIPLE OF REASONING . 69 DR THOMSON'S SYLLOGISM ...
Page 72
... question turns , of course , upon the degree and particular nature of the similarity . Granting that there is sufficient analogy between the telegraph and the post - office to render the Government purchase of the former desirable , we ...
... question turns , of course , upon the degree and particular nature of the similarity . Granting that there is sufficient analogy between the telegraph and the post - office to render the Government purchase of the former desirable , we ...
Page 73
... question , and which was thus stated in the textbook of Aldrich : - Quæ conveniunt in uno aliquo eodemque tertio , ca conveniunt inter se . This was supplemented by a corresponding canon concerning terms which THE TRUE PRINCIPLE OF ...
... question , and which was thus stated in the textbook of Aldrich : - Quæ conveniunt in uno aliquo eodemque tertio , ca conveniunt inter se . This was supplemented by a corresponding canon concerning terms which THE TRUE PRINCIPLE OF ...
Page 77
... 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 propositions ; but , as they applied the canon ...
... 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 propositions ; but , as they applied the canon ...
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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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