The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 22
... given in ( 2 ) , we obtain the equation a = c + p + q , which , owing to the like signs of p and q , is a representation in a more exact and clear manner of the conclusion a > c . On the other hand , the formula a > b < e would ...
... given in ( 2 ) , we obtain the equation a = c + p + q , which , owing to the like signs of p and q , is a representation in a more exact and clear manner of the conclusion a > c . On the other hand , the formula a > b < e would ...
Page 33
... given in ( 2 ) produces the con- clusion or , in words , ( 3 ) DB = DBCA , Some metal = some metal element inflammable . In this and many other instances my method of representation is found to give a far more full and D strict ...
... given in ( 2 ) produces the con- clusion or , in words , ( 3 ) DB = DBCA , Some metal = some metal element inflammable . In this and many other instances my method of representation is found to give a far more full and D strict ...
Page 40
... given in the equation , A = AbC Abc , from which it appears that A may indifferently occur with or without C. Substituting in ( 1 ) by means of ( 2 40 THE SUBSTITUTION OF SIMILARS , CONDILLAC'S VIEWS OF LOGIC PRESENT POSITION OF LOGICAL ...
... given in the equation , A = AbC Abc , from which it appears that A may indifferently occur with or without C. Substituting in ( 1 ) by means of ( 2 40 THE SUBSTITUTION OF SIMILARS , CONDILLAC'S VIEWS OF LOGIC PRESENT POSITION OF LOGICAL ...
Page 46
... given attribute or does not possess it . Symbolically the law of duality is shown by A = AB Ab , in which the sign indicates alternation , and is equivalent to the true meaning of the disjunctive conjunction or . Hence the symbols may ...
... given attribute or does not possess it . Symbolically the law of duality is shown by A = AB Ab , in which the sign indicates alternation , and is equivalent to the true meaning of the disjunctive conjunction or . Hence the symbols may ...
Page 62
... given occasion , feel or act so and so , we sometimes judge from an enlarged consideration of the manner in which human beings in general , or persons of some particular character , are accus- tomed to feel and act ; but much oftener ...
... given occasion , feel or act so and so , we sometimes judge from an enlarged consideration of the manner in which human beings in general , or persons of some particular character , are accus- tomed to feel and act ; but much oftener ...
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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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