The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 19
... expression of a process of mathematical inference is shown in the form- a = b a hence § C C. If in one case we take the sign as denoting that c is a multiple of b , it follows that it is a mul- tiple of a ; if it is the nth multiple of ...
... expression of a process of mathematical inference is shown in the form- a = b a hence § C C. If in one case we take the sign as denoting that c is a multiple of b , it follows that it is a mul- tiple of a ; if it is the nth multiple of ...
Page 29
... expression of ordinary con- versation becomes Iron is an element , or Iron is some kind of element , the words an or some kind being indefinite substitutes for a more exact description . The form of this mode of inference must be stated ...
... expression of ordinary con- versation becomes Iron is an element , or Iron is some kind of element , the words an or some kind being indefinite substitutes for a more exact description . The form of this mode of inference must be stated ...
Page 30
... expression of ( 3 ) . 28. The mood Darii , which is distinguished from Barbara in the doctrine of the syllogism by its particular minor premise and conclusion , cannot be considered an essentially different form . For if , instead of ...
... expression of ( 3 ) . 28. The mood Darii , which is distinguished from Barbara in the doctrine of the syllogism by its particular minor premise and conclusion , cannot be considered an essentially different form . For if , instead of ...
Page 32
... expression of the full description of A given in A = ABCDE . 30. All the affirmative moods of the syllogism may be represented with almost equal clearness and facility . As an example of Darapti in the third figure we may take ( 1 ) ...
... expression of the full description of A given in A = ABCDE . 30. All the affirmative moods of the syllogism may be represented with almost equal clearness and facility . As an example of Darapti in the third figure we may take ( 1 ) ...
Page 35
... expression of this fact , AC = AC , we can substitute for A in the second member its equivalent AB , getting AC = ABC . This may be interpreted in ordinary words as , A suffering negro is a suffering negro fellow - creature , which ...
... expression of this fact , AC = AC , we can substitute for A in the second member its equivalent AB , getting AC = ABC . This may be interpreted in ordinary words as , A suffering negro is a suffering negro fellow - creature , which ...
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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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