The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 69
... canon in the following manner : The same attributes may be assigned : 1— " to distinct but similar things , provided they can be shown to accompany the points of resemblance in the things and not the points of difference . " This means ...
... canon in the following manner : The same attributes may be assigned : 1— " to distinct but similar things , provided they can be shown to accompany the points of resemblance in the things and not the points of difference . " This means ...
Page 73
... canon analogous to the first axiom of Euclid . Between the dictum de omni et nullo of Aristotle , which had so long been esteemed the primary and perfect rule of reason , and the axiom concerning equal quantities , there was no apparent ...
... canon analogous to the first axiom of Euclid . Between the dictum de omni et nullo of Aristotle , which had so long been esteemed the primary and perfect rule of reason , and the axiom concerning equal quantities , there was no apparent ...
Page 74
... canon concerning terms which disagree : - Quorum unum convenit , alterum differt uni et cidem tertio , ea differunt inter se . The excessive subtlety of logical writers of past centuries even led them to invent six separate canons to ...
... canon concerning terms which disagree : - Quorum unum convenit , alterum differt uni et cidem tertio , ea differunt inter se . The excessive subtlety of logical writers of past centuries even led them to invent six separate canons to ...
Page 76
... the fallacy of undistributed middle . Thus Metals are elements , Oxygen is an element , Oxygen , therefore , is a metal , would conform precisely to the canon , because oxygen agrees 76 THE SUBSTITUTION OF SIMILARS ,
... the fallacy of undistributed middle . Thus Metals are elements , Oxygen is an element , Oxygen , therefore , is a metal , would conform precisely to the canon , because oxygen agrees 76 THE SUBSTITUTION OF SIMILARS ,
Page 77
... canon , because oxygen agrees with element exactly in the same sense in which metals agree with elements , and yet the result is an untrue and fallacious conclusion . Doubtless this absurdity may be explained away by pointing out that ...
... canon , because oxygen agrees with element exactly in the same sense in which metals agree with elements , and yet the result is an untrue and fallacious conclusion . Doubtless this absurdity may be explained away by pointing out that ...
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Common terms and phrases
A B C D abacus ABCD adjective affirmative proposition analogy appear apply Aristotle Aristotle's dictum assert axiom axiom of Euclid Boole Boole's calculus Cambridge canon cloth conclusion consists copula corresponding Crown 8vo differs Diseases ELEMENTARY TREATISE equal equal-sided equivalent expression fallacy fcap follows form of inference forms of reasoning formula George Bentham hence identity indefinite indirect inequalities infallible Iron J. S. Mill law of duality laws of thought Lectures ledge logicians mathematical reasoning means ment metals are elements method mind monarch nature negative proposition obtained Owens College oxygen Philosophy pound weight premises principle of substitution Professor proposition or equation quantification quantity relation represented Royal scientific Second Edition second member self-evident self-luminous Sir William Hamilton slips subject and predicate substitution of similars syllogism symbols term element THEORY Thomson tion triangle true truth undecomposable substance University University of Cambridge
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