The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 1
... letters . In our time we possess an almost com- plete comprehension of many parts of physical science which seemed to Socrates , the wisest of men , beyond the powers of the human mind . We have before us an abundance of examples of the ...
... letters . In our time we possess an almost com- plete comprehension of many parts of physical science which seemed to Socrates , the wisest of men , beyond the powers of the human mind . We have before us an abundance of examples of the ...
Page 3
... letters . In our time we possess an almost com- plete comprehension of many parts of physical science which seemed to Socrates , the wisest of men , beyond the powers of the human mind . We have before us an abundance of examples of the ...
... letters . In our time we possess an almost com- plete comprehension of many parts of physical science which seemed to Socrates , the wisest of men , beyond the powers of the human mind . We have before us an abundance of examples of the ...
Page 24
... letters to denote the things compared in a logical sense , but the copula or sign of identity may remain as before . Thus the symbols A = B denote the identity of the things represented by the indefinite terms or names A and B. Thus A ...
... letters to denote the things compared in a logical sense , but the copula or sign of identity may remain as before . Thus the symbols A = B denote the identity of the things represented by the indefinite terms or names A and B. Thus A ...
Page 31
... letters A , B , C , D , and E to indicate respectively honest man , truly wise , happy , con- tented , and to be envied , the premises are represented thus : - - ( 1 ) A = AB , ( 2 ) B = BC , ( 3 ) C = CD , ( 4 ) D = DE , and successive ...
... letters A , B , C , D , and E to indicate respectively honest man , truly wise , happy , con- tented , and to be envied , the premises are represented thus : - - ( 1 ) A = AB , ( 2 ) B = BC , ( 3 ) C = CD , ( 4 ) D = DE , and successive ...
Page 52
... . This comparison will really consist in substituting for each letter its description as given in the 1 See De Morgan's " Formal Logic , " p . 123 . premises , which may thus be symbolically ex- pressed : 52 THE SUBSTITUTION OF SIMILARS ,
... . This comparison will really consist in substituting for each letter its description as given in the 1 See De Morgan's " Formal Logic , " p . 123 . premises , which may thus be symbolically ex- pressed : 52 THE SUBSTITUTION OF SIMILARS ,
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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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