The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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... seem to me to be different cases of one uniform process , which may perhaps be best described as the substitution of similars . This phrase clearly expresses that familiar mode in which we continually argue by analogy from like to like ...
... seem to me to be different cases of one uniform process , which may perhaps be best described as the substitution of similars . This phrase clearly expresses that familiar mode in which we continually argue by analogy from like to like ...
Page 4
... seem discouraging to logical speculators that he 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 ...
... seem discouraging to logical speculators that he 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 ...
Page 7
... same proposition thus quantified , and , though the change seems trifling , the consequences are momentous . The proposition no longer asserts the inclusion of one class in the other , but THE TRUE PRINCIPLE OF REASONING . 7.
... same proposition thus quantified , and , though the change seems trifling , the consequences are momentous . The proposition no longer asserts the inclusion of one class in the other , but THE TRUE PRINCIPLE OF REASONING . 7.
Page 12
... seem to have gained no advantage by the change ; and if we are asked to define more exactly what part of the elements we are speaking of , we can only answer , Those which , are metals . The formula All metals = all metallic elements is ...
... seem to have gained no advantage by the change ; and if we are asked to define more exactly what part of the elements we are speaking of , we can only answer , Those which , are metals . The formula All metals = all metallic elements is ...
Page 15
... seem to have become thereby even a more transparent truism than the original , which has been con- demned as such by Mr. J. S. Mill and some others . But the value of the formula must be judged by its results ; and I do not hesitate to ...
... seem to have become thereby even a more transparent truism than the original , which has been con- demned as such by Mr. J. S. Mill and some others . But the value of the formula must be judged by its results ; and I do not hesitate to ...
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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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