The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 16
... other hand , as in as bs c do not enable us to make any inference concerning the relation of a and c ; for if these quantities are equal , they may both differ from b , and 16 THE SUBSTITUTION OF SIMILARS , THE MODIFIED DICTUM · II.
... other hand , as in as bs c do not enable us to make any inference concerning the relation of a and c ; for if these quantities are equal , they may both differ from b , and 16 THE SUBSTITUTION OF SIMILARS , THE MODIFIED DICTUM · II.
Page 17
... differ from b , and so they may if they are unequal . The axiom of Euclid thus requires to be supplemented by two other axioms , which can only be expressed in somewhat awkward language , as follows : - If the first of three things be ...
... differ from b , and so they may if they are unequal . The axiom of Euclid thus requires to be supplemented by two other axioms , which can only be expressed in somewhat awkward language , as follows : - If the first of three things be ...
Page 35
... differs only from the conclusion as stated by Dr. Thomson by containing the qualification negro in the second member . 33. Immediate inference by complex conception closely resembles the preceding D 2 THE TRUE PRINCIPLE OF REASONING . 35.
... differs only from the conclusion as stated by Dr. Thomson by containing the qualification negro in the second member . 33. Immediate inference by complex conception closely resembles the preceding D 2 THE TRUE PRINCIPLE OF REASONING . 35.
Page 39
... 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 band is included in the class b . There are advantages , however , in employing the ...
... 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 band is included in the class b . There are advantages , however , in employing the ...
Page 41
... differs from A differs from B , and whatever differs from B differs from A. Now the term b denotes what differs from B , and a denotes what differs from A ; so that from the single original proposition we may draw the two propositions ...
... differs from A differs from B , and whatever differs from B differs from A. Now the term b denotes what differs from B , and a denotes what differs from A ; so that from the single original proposition we may draw the two propositions ...
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Common terms and phrases
A B C D abacus ABCD affirmative proposition Algebra analogy applied Aristotle Aristotle's 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 dictum differs EDUCATIONAL Edward Thring ELEMENTARY TREATISE English equal Euclid Examination Papers Examples expression Extra fcap fallacy Fellow of St follows forms of reasoning formulæ GEOMETRY George Bentham Grammar Head Master hence HISTORY identity illustrated indirect induction inference Iron J. S. Mill John's College late Fellow Latin law of duality Laws of Thought ledge logicians Maps ment metals are elements method MIXED MATHEMATICS ordinary oxygen predicate premises problem quantification quantity reader represented resemblance Schools Second Edition self-evident self-luminous SHILLING BOOK slips student substitution of similars syllogism symbols System of Logic thing Third Edition tion triangle true undecomposable substance
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