The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 55
... slips of wood , it would become easy by suitable mechanical arrangements to pick out the combinations in convenient classes , so as im- mensely to abbreviate the labour of comparison with the premises . This idea was carried out in the ...
... slips of wood , it would become easy by suitable mechanical arrangements to pick out the combinations in convenient classes , so as im- mensely to abbreviate the labour of comparison with the premises . This idea was carried out in the ...
Page 57
... slips containing all the possible combinations of A , B , C , a , b , c , and ascertain which of the combinations are possible under the conditions of the premises . " Select all the slips marked A ; and as all these ought to be B's ...
... slips containing all the possible combinations of A , B , C , a , b , c , and ascertain which of the combinations are possible under the conditions of the premises . " Select all the slips marked A ; and as all these ought to be B's ...
Page 58
... slips out of the A's reject those which are not CD ; out of the CD's reject those which are not A ; out of the BC's reject those which are not BD ; and out of the BD's с 2998 reject those which are not BC . There 58 THE SUBSTITUTION OF ...
... slips out of the A's reject those which are not CD ; out of the CD's reject those which are not A ; out of the BC's reject those which are not BD ; and out of the BD's с 2998 reject those which are not BC . There 58 THE SUBSTITUTION OF ...
Page 59
... slips , as follows : - a a a a 2388 ADCA ABCD d 1396 " From these we may at once read off all the conclusions laboriously deduced by Boole in his obscure processes . We at once see , for instance , that the class a , or ' dissimilar ...
... slips , as follows : - a a a a 2388 ADCA ABCD d 1396 " From these we may at once read off all the conclusions laboriously deduced by Boole in his obscure processes . We at once see , for instance , that the class a , or ' dissimilar ...
Page 60
... slips of the abacus should not require to be moved by hand , but could be placed in proper order by the successive pressure of a series of keys or handles . I have since made a successful working model of this contrivance , which may be ...
... slips of the abacus should not require to be moved by hand , but could be placed in proper order by the successive pressure of a series of keys or handles . I have since made a successful working model of this contrivance , which may be ...
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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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