The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 22
... conclusion a > c . On the other hand , the formula a > b < e would evidently lead to the equation a = = e + p − r , in which is the excess of a over b , and r the excess of e over b . Now this equation , taken in connexion with the ...
... conclusion a > c . On the other hand , the formula a > b < e would evidently lead to the equation a = = e + p − r , in which is the excess of a over b , and r the excess of e over b . Now this equation , taken in connexion with the ...
Page 30
... conclusion A = ABC , which is the symbolic 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 ...
... conclusion A = ABC , which is the symbolic 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 ...
Page 31
... conclusion being- ( 5 ) The honest man is to be envied . Taking the letters A , B , C , D , and E to indicate ... conclusion by substitution in a different order , thus : - A = AB ABC ABCD = ABCDE . = = The ordinary statement of the ...
... conclusion being- ( 5 ) The honest man is to be envied . Taking the letters A , B , C , D , and E to indicate ... conclusion by substitution in a different order , thus : - A = AB ABC ABCD = ABCDE . = = The ordinary statement of the ...
Page 32
... conclusion in ( 5 ) is only an indefinite 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 ...
... conclusion in ( 5 ) is only an indefinite 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 ...
Page 33
... element inflammable . In this and many other instances my method of representation is found to give a far more full and D strict conclusion than the old syllogism ; but ellipsis or THE TRUE PRINCIPLE OF REASONING . 33.
... element inflammable . In this and many other instances my method of representation is found to give a far more full and D strict conclusion than the old syllogism ; but ellipsis or THE TRUE PRINCIPLE OF REASONING . 33.
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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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