The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 10
... whole class may be predicated of anything con- tained in that class . Or , as Sir W. Hamilton more briefly expresses them , What pertains to the higher class pertains also to the lower.1 These dicta , then , enable us to pass from the ...
... whole class may be predicated of anything con- tained in that class . Or , as Sir W. Hamilton more briefly expresses them , What pertains to the higher class pertains also to the lower.1 These dicta , then , enable us to pass from the ...
Page 20
... whole of the processes by which equations are solved , viz . equal addition or subtraction , multiplication or division , involution or evolution , performed upon both sides of the equa- tion at the same time . That most familiar ...
... whole of the processes by which equations are solved , viz . equal addition or subtraction , multiplication or division , involution or evolution , performed upon both sides of the equa- tion at the same time . That most familiar ...
Page 39
... whole class of things , or any of them , which differ from B , so that it is a matter of indifference whether we say that A differs from B and is ex- cluded from the class B , or that it agrees with b and is included in the class b ...
... whole class of things , or any of them , which differ from B , so that it is a matter of indifference whether we say that A differs from B and is ex- cluded from the class B , or that it agrees with b and is included in the class b ...
Page 61
... whole . There is no subject in which we might expect more perfect unity and system to exist , and more wide - ruling generalizations to be discoverable , than in the science of the laws of thought ; and I conceive that a prime object of ...
... whole . There is no subject in which we might expect more perfect unity and system to exist , and more wide - ruling generalizations to be discoverable , than in the science of the laws of thought ; and I conceive that a prime object of ...
Page 63
... whole more usual , however , to extend the name of analogical evidence to argu- ments from any sort of resemblance , provided they do not amount to a complete induction : without 1 " System of Logic , " vol . ii . p . 86 . peculiarly ...
... whole more usual , however , to extend the name of analogical evidence to argu- ments from any sort of resemblance , provided they do not amount to a complete induction : without 1 " System of Logic , " vol . ii . p . 86 . peculiarly ...
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Common terms and phrases
A B C D abacus ABCDE affirmative proposition Algebra analogy applied Aristotle ARISTOTLE'S DICTUM ARITHMETIC assert axiom BEGINNERS Bentham Boole Boole's BROOKE FOSS WESTCOTT CALCULUS Cambridge canon Christ's College Church Clifton College cloth combinations conclusion CONIC SECTIONS consists copula Crown 8vo denote EDUCATIONAL BOOKS Edward Thring ELEMENTARY TREATISE English equal Euclid Examination Papers Examples expression Extra fcap fallacy Fellow of St follows forms of reasoning formula GEOMETRY George Bentham Grammar Head Master hence HISTORY identity illustrated indirect inequalities inference Iron J. S. Mill John's College late Fellow Latin law of duality Laws of Thought ledge logicians ment metals are elements method MIXED MATHEMATICS ordinary oxygen predicate premises problem quantification quantity reader represented Schools Second Edition self-evident SHILLING BOOK slips student substitution of similars syllogism symbols System of Logic thing Third Edition tion triangle true undecomposable substance
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