The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 9
... follows- Quicquid de omni valet , valet etiam de quibusdam et singulis . And the corresponding Dictum de nullo is similarly- Quicquid de nullo valet , nec de quibusdam nec de singulis valet . In English these dicta are usually stated ...
... follows- Quicquid de omni valet , valet etiam de quibusdam et singulis . And the corresponding Dictum de nullo is similarly- Quicquid de nullo valet , nec de quibusdam nec de singulis valet . In English these dicta are usually stated ...
Page 10
... follows : - Whatever is predicated affirmatively or negatively of a 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 ...
... follows : - Whatever is predicated affirmatively or negatively of a 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 ...
Page 15
... follows : - It Whatever is known of a term may be stated of its equal or equivalent . Or in other words , Whatever is true of a thing is true of its like . I must beg of the reader not to prejudge the value of this very evident axiom ...
... follows : - It Whatever is known of a term may be stated of its equal or equivalent . Or in other words , Whatever is true of a thing is true of its like . I must beg of the reader not to prejudge the value of this very evident axiom ...
Page 17
... follows : - If the first of three things be equal to the second , but the second be unequal to the third , the first is unequal to the third . And again : - If two things be both unequal to a third common thing , they may or may not be ...
... follows : - If the first of three things be equal to the second , but the second be unequal to the third , the first is unequal to the third . And again : - If two things be both unequal to a third common thing , they may or may not be ...
Page 19
... follows that it is a mul- tiple of a ; if it is the nth multiple of one , it is the nth multiple of the other ; if it is the nth submultiple , or the nth power , or the nth root of C 2 THE TRUE PRINCIPLE OF REASONING . 19.
... follows that it is a mul- tiple of a ; if it is the nth multiple of one , it is the nth multiple of the other ; if it is the nth submultiple , or the nth power , or the nth root of C 2 THE TRUE PRINCIPLE OF REASONING . 19.
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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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