The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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... be explained upon the same principle ; and it is to this difficult task I have devoted the most attention . The new and wonderful results of the late Dr. Boole's mathematical system of Logic appear to develop themselves as 10407.
... be explained upon the same principle ; and it is to this difficult task I have devoted the most attention . The new and wonderful results of the late Dr. Boole's mathematical system of Logic appear to develop themselves as 10407.
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... appear to develop themselves as most plain and evident consequences of the self - same process of substi- tution , when applied to the Primary Laws of Thought . Should my notion be true , a vast mass of technicalities may be swept from ...
... appear to develop themselves as most plain and evident consequences of the self - same process of substi- tution , when applied to the Primary Laws of Thought . Should my notion be true , a vast mass of technicalities may be swept from ...
Page 6
... appear to pass beyond the comprehension and criticism of most other writers , and are calmly ignored . No inconsiderable part of a lifetime is indeed needed to master thoroughly the genius and tendency of all the recent English writings ...
... appear to pass beyond the comprehension and criticism of most other writers , and are calmly ignored . No inconsiderable part of a lifetime is indeed needed to master thoroughly the genius and tendency of all the recent English writings ...
Page 20
... appears to be the type of all reasoning , and we may fitly name this all - important process the substitution of equals . A 18. An apparent exception to the statement that all mathematical reasoning proceeds by equations may perhaps ...
... appears to be the type of all reasoning , and we may fitly name this all - important process the substitution of equals . A 18. An apparent exception to the statement that all mathematical reasoning proceeds by equations may perhaps ...
Page 21
... appear to fail in giving any inference because they involve only differences both of direction and quantity . Strength is added to this view of the matter by observing that all reasoning by inequalities can be represented with equal or ...
... appear to fail in giving any inference because they involve only differences both of direction and quantity . Strength is added to this view of the matter by observing that all reasoning by inequalities can be represented with equal or ...
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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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