The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 5
... algebra , invented as tools of numerical calculation , should be compe- tent to express every act of thought , and to furnish the grammar and dictionary of an all - containing system of logic , would not have been believed until it was ...
... algebra , invented as tools of numerical calculation , should be compe- tent to express every act of thought , and to furnish the grammar and dictionary of an all - containing system of logic , would not have been believed until it was ...
Page 8
... algebra . Logic is found to resemble a calculus in which there are only two numbers , o and 1 , and the analogy of the calculus of quality or fact and the calculus of quantity proves to be perfect . Here , in all probability , we shall ...
... algebra . Logic is found to resemble a calculus in which there are only two numbers , o and 1 , and the analogy of the calculus of quality or fact and the calculus of quantity proves to be perfect . Here , in all probability , we shall ...
Page 20
... algebra , and it is self - evident that a greater of a greater is a greater , and what is less than a less is less . Thus we certainly seem to have in the two formulæ , and a > b > c hence a > c , a < b < c hence a < c , • two valid ...
... algebra , and it is self - evident that a greater of a greater is a greater , and what is less than a less is less . Thus we certainly seem to have in the two formulæ , and a > b > c hence a > c , a < b < c hence a < c , • two valid ...
Page 9
... Algebra , & c . Crown 8vo . cloth . 5s . This work will be found suited to the wants , not only of University Students , but also of many others who require a short course of Mechanics and Hydrostatics , and especially of the Candidates ...
... Algebra , & c . Crown 8vo . cloth . 5s . This work will be found suited to the wants , not only of University Students , but also of many others who require a short course of Mechanics and Hydrostatics , and especially of the Candidates ...
Page 12
... Algebra , but rather to supplement them . The book being intended chiefly for Schools and Junior Students , the higher parts of Algebra have not been included . KITCHENER . - A GEOMETRICAL NOTE - BOOK , containing Easy Problems in ...
... Algebra , but rather to supplement them . The book being intended chiefly for Schools and Junior Students , the higher parts of Algebra have not been included . KITCHENER . - A GEOMETRICAL NOTE - BOOK , containing Easy Problems in ...
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Common terms and phrases
A B C D abacus ABCD adjective affirmative proposition Algebra analogy Aristotle Aristotle's dictum assert axiom axiom of Euclid Boole Boole's BROOKE FOSS WESTCOTT calculus Cambridge canon cloth conclusion copula Crown 8vo differs Edward Thring ELEMENTARY TREATISE English equal equal-sided equivalent Euclid example expression Extra fcap fallacy Fcap follows form of inference forms of reasoning formula George Bentham Grammar Greek hence identity illustrated indefinite indirect inequalities infallible Iron J. S. Mill John's College late Fellow law of duality laws of thought ledge logicians means ments metals are elements method monarch negative proposition obtain ordinary oxygen planet pound weight premises PRINCIPLE OF REASONING principle of substitution proposition or equation quantification quantity reader REESE LIBRARY relation represented Schools Second Edition second member self-evident self-luminous slips substitution of similars syllogism symbols thing Third Edition tion triangle truth undecomposable substance
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