The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 8
... once we view the proposition as an equation , all the de- ductions of the ancient doctrine of logic , and many more , may be arrived at by the processes of algebra . Logic is found to resemble a calculus in which there are only two ...
... once we view the proposition as an equation , all the de- ductions of the ancient doctrine of logic , and many more , may be arrived at by the processes of algebra . Logic is found to resemble a calculus in which there are only two ...
Page 13
... once committed by a master - mind became so rooted in the minds of all succeeding logicians , by the in- fluence of authority , that twenty centuries have thereby been rendered a blank in the history of logic . 13. Aristotle ignored the ...
... once committed by a master - mind became so rooted in the minds of all succeeding logicians , by the in- fluence of authority , that twenty centuries have thereby been rendered a blank in the history of logic . 13. Aristotle ignored the ...
Page 25
... once proceed to develop from this process of substitution all the forms of infer- ence recognised by Aristotle , and many more . In the first place , there cannot be a simpler act of reasoning than the substitution of a definition for a ...
... once proceed to develop from this process of substitution all the forms of infer- ence recognised by Aristotle , and many more . In the first place , there cannot be a simpler act of reasoning than the substitution of a definition for a ...
Page 44
... once we lay down the primary laws of thought , and employ them by means of the principle of substitution , we find that an unlimited system of forms of indirect reasoning develops itself spontaneously . Of this indirect system there is ...
... once we lay down the primary laws of thought , and employ them by means of the principle of substitution , we find that an unlimited system of forms of indirect reasoning develops itself spontaneously . Of this indirect system there is ...
Page 50
... once by the consideration , symbolically expressed above , that if they were metals they would be elements , or at once elements and not - elements , which is impossible . 45. It is the peculiar character of this method of indirect ...
... once by the consideration , symbolically expressed above , that if they were metals they would be elements , or at once elements and not - elements , which is impossible . 45. It is the peculiar character of this method of indirect ...
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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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