The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 29
... ordinary manner become , in a strictly logical form : - ( 1 ) Iron = metallic iron , ( 2 ) Metal = elementary metal . Now for metal or metallic in ( 1 ) we may substitute its equivalent in ( 2 ) and we obtain ( 3 ) Iron = elementary ...
... ordinary manner become , in a strictly logical form : - ( 1 ) Iron = metallic iron , ( 2 ) Metal = elementary metal . Now for metal or metallic in ( 1 ) we may substitute its equivalent in ( 2 ) and we obtain ( 3 ) Iron = elementary ...
Page 31
... CDE , B = BCDE , A = ABCDE . Or we may get exactly the same conclusion by substitution in a different order , thus : - A = AB ABC = = ABCD ABCDE . = The ordinary statement of the conclusion in ( 5 ) THE TRUE PRINCIPLE OF REASONING . 31.
... CDE , B = BCDE , A = ABCDE . Or we may get exactly the same conclusion by substitution in a different order , thus : - A = AB ABC = = ABCD ABCDE . = The ordinary statement of the conclusion in ( 5 ) THE TRUE PRINCIPLE OF REASONING . 31.
Page 32
... ordinary statement of the conclusion in ( 5 ) is only an indefinite expression of the full description of A given in A = ABCDE . 30. All the affirmative moods of the syllogism may be represented with almost equal clearness and facility ...
... ordinary statement of the conclusion in ( 5 ) is only an indefinite expression of the full description of A given in A = ABCDE . 30. All the affirmative moods of the syllogism may be represented with almost equal clearness and facility ...
Page 34
... ordinary acts of reasoning . 32. Certain forms of so - called immediate inference , chiefly brought into notice in recent times by Dr. Thomson , are readily derived from our principle . Immediate inference by added determinant1 con ...
... ordinary acts of reasoning . 32. Certain forms of so - called immediate inference , chiefly brought into notice in recent times by Dr. Thomson , are readily derived from our principle . Immediate inference by added determinant1 con ...
Page 35
... ordinary words as , A suffering negro is a suffering negro fellow - creature , which differs only from the conclusion as stated by Dr. Thomson by containing the qualification negro in the second member . 33. Immediate inference by ...
... ordinary words as , A suffering negro is a suffering negro fellow - creature , which differs only from the conclusion as stated by Dr. Thomson by containing the qualification negro in the second member . 33. Immediate inference by ...
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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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