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 : - 15 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 : - 15 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 MATHEMATICAL ...
... 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 MATHEMATICAL ...
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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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