The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 18
... affirmative form , except that , since it has only one equation to work by , there can be only one active equation and one form in which the inference can be exhibited as below : - a = b a S hence S C. C Inference is seen to take place ...
... affirmative form , except that , since it has only one equation to work by , there can be only one active equation and one form in which the inference can be exhibited as below : - a = b a S hence S C. C Inference is seen to take place ...
Page 26
... affirmative proposition or equation , and one negative proposition , we still find the former sufficient for the process of infer- ence . Thus ( 1 ) Iron = the most useful metal . ( 2 ) Iron nations . the metal most early used by ...
... affirmative proposition or equation , and one negative proposition , we still find the former sufficient for the process of infer- ence . Thus ( 1 ) Iron = the most useful metal . ( 2 ) Iron nations . the metal most early used by ...
Page 32
... affirmative moods of the syllogism may be represented with almost equal clearness and facility . As an example of Darapti in the third figure we may take Making ( 1 ) Oxygen is an element , ( 2 ) Oxygen is a gas , ( 3 ) . Some gas ...
... affirmative moods of the syllogism may be represented with almost equal clearness and facility . As an example of Darapti in the third figure we may take Making ( 1 ) Oxygen is an element , ( 2 ) Oxygen is a gas , ( 3 ) . Some gas ...
Page 39
... affirmative propositions . This conversion is effected by the use of negative terms , a practice not unknown to the old logic , but not nearly so much employed as it should have been . Thus the negative proposition , A is not B or A & B ...
... affirmative propositions . This conversion is effected by the use of negative terms , a practice not unknown to the old logic , but not nearly so much employed as it should have been . Thus the negative proposition , A is not B or A & B ...
Page 40
... affirmative propositions or equations , A = Ab B = Bc . And when these premises are tested , whether on the logical slate , abacus , or logical machine referred to in a later page , they are found to give no conclusion concerning the ...
... affirmative propositions or equations , A = Ab B = Bc . And when these premises are tested , whether on the logical slate , abacus , or logical machine referred to in a later page , they are found to give no conclusion concerning the ...
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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
Popular passages
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