The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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... rules of mathematical reasoning , may 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 ...
... rules of mathematical reasoning , may 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 ...
Page 6
... rule of authority has thus been shaken , and the immediate result is a perfect chaos of diverse and original speculations . Each logician has invented a logic of his own , so marked by peculiarities of his individual mind , and his ...
... rule of authority has thus been shaken , and the immediate result is a perfect chaos of diverse and original speculations . Each logician has invented a logic of his own , so marked by peculiarities of his individual mind , and his ...
Page 23
... rule , that we always reason by means of identities or equalities . 19. Turning now to apply these considerations to the forms of logical inference , my proposed simplification of the rules of logic is founded upon an obvious extension ...
... rule , that we always reason by means of identities or equalities . 19. Turning now to apply these considerations to the forms of logical inference , my proposed simplification of the rules of logic is founded upon an obvious extension ...
Page 43
... rules of the syllogism was therefore made out , in order that the validity of an argument might thereby be tested ; but , as even then the task was no easy or self - evident one , logicians formed a complete list of the limited number ...
... rules of the syllogism was therefore made out , in order that the validity of an argument might thereby be tested ; but , as even then the task was no easy or self - evident one , logicians formed a complete list of the limited number ...
Page 44
... rules are needful , and no mnemonics would be otherwise than a hindrance . 40. I have yet a striking proof to offer of the truth of the views I am putting forward ; for when once we lay down the primary laws of thought , and employ them ...
... rules are needful , and no mnemonics would be otherwise than a hindrance . 40. I have yet a striking proof to offer of the truth of the views I am putting forward ; for when once we lay down the primary laws of thought , and employ them ...
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Common terms and phrases
A B C D abacus ABCD adjective affirmative proposition Algebra analogy Aristotle Aristotle's dictum assert axiom axiom of Euclid Boole Boole's BROOKE FOSS WESTCOTT calculus Cambridge canon cloth conclusion copula Crown 8vo differs Edward Thring ELEMENTARY TREATISE English equal equal-sided equivalent Euclid example expression Extra fcap fallacy Fcap follows form of inference forms of reasoning formula George Bentham Grammar Greek hence identity illustrated indefinite indirect inequalities infallible Iron J. S. Mill John's College late Fellow law of duality laws of thought ledge logicians means ments metals are elements method monarch negative proposition obtain ordinary oxygen planet pound weight premises PRINCIPLE OF REASONING principle of substitution proposition or equation quantification quantity reader REESE LIBRARY relation represented Schools Second Edition second member self-evident self-luminous slips substitution of similars syllogism symbols thing Third Edition tion triangle truth undecomposable substance
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