The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 15
... illustrated in the first place by looking at it in its mathematical aspect . 15. The axiom indeed with which Euclid begins to build presents at first sight little or no resem- blance to the modified dictum . The axiom asserts that THE ...
... illustrated in the first place by looking at it in its mathematical aspect . 15. The axiom indeed with which Euclid begins to build presents at first sight little or no resem- blance to the modified dictum . The axiom asserts that THE ...
Page 33
... illustrated : - ( 1 ) Some metals are inflammable , ( 2 ) All metals are elements , ( 3 ) Some elements are inflammable . Taking A = elements , C = inflammable , B = metals , D = some , we may represent the premises in the forms ( 1 ) ...
... illustrated : - ( 1 ) Some metals are inflammable , ( 2 ) All metals are elements , ( 3 ) Some elements are inflammable . Taking A = elements , C = inflammable , B = metals , D = some , we may represent the premises in the forms ( 1 ) ...
Page 42
... illustrated by such examples as happy = contented , hence unhappy = not - contented ; or again , triangle = three - sided rectilinear figure , hence what is not a triangle = what is not a three- sided rectilinear figure . The new ...
... illustrated by such examples as happy = contented , hence unhappy = not - contented ; or again , triangle = three - sided rectilinear figure , hence what is not a triangle = what is not a three- sided rectilinear figure . The new ...
Page 47
... illustrated : - ( 1 ) A sun is self - luminous , ( 2 ) A planet is not self - luminous , ( 3 ) A planet , therefore , is not a sun . Now it is apparent that a planet is either a sun or it is not a sun , by the law of duality . But if it ...
... illustrated : - ( 1 ) A sun is self - luminous , ( 2 ) A planet is not self - luminous , ( 3 ) A planet , therefore , is not a sun . Now it is apparent that a planet is either a sun or it is not a sun , by the law of duality . But if it ...
Page 48
... illustrated by the following example : - ( 1 ) All monarchs are human beings , ( 2 ) No human beings are infallible , ( 3 ) No infallible beings , therefore , are monarchs . This is proved by considering that every infal- lible being is ...
... illustrated by the following example : - ( 1 ) All monarchs are human beings , ( 2 ) No human beings are infallible , ( 3 ) No infallible beings , therefore , are monarchs . This is proved by considering that every infal- lible being is ...
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abacus ABCD adapted Algebra appended applied Aristotle Arithmetic arranged ATHENÆUM axiom BEGINNERS Bible Boole Calculus Cambridge canon chapter Christ's College CLASS-BOOK cloth combinations Conic Sections consists contains Crown 8vo dictum Education ELEMENTARY TREATISE endeavoured English equal equation Examination Papers exercises Extra fcap formulæ Fourth Edition Geometry George Bentham give Globe 8vo Grammar Greek Head Master Heir of Redclyffe identity illustrations inference Introduction Iron John's College language late Fellow Latin Laws of Thought Lecturer ledge LESSONS logical logicians manual Maps mathematical metals are elements method Metric System Notes numerous Examples ordinary Owens College predicate premises present principles problems Professor proposition pupil R. C. JEBB reader relation Royal Schools Second Edition selected slips student substitution of similars syllogism teachers Testament text-book theory Third Edition tion translation Trigonometry University University of Cambridge Uppingham School volume words
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