The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
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Page 3
... knowledge passes almost infinitely beyond their highest efforts . Intellects so lofty and acute as those of Euclid or Diophantus or Archimedes reached but the few first steps on the way to the widening generalizations of modern mathema ...
... knowledge passes almost infinitely beyond their highest efforts . Intellects so lofty and acute as those of Euclid or Diophantus or Archimedes reached but the few first steps on the way to the widening generalizations of modern mathema ...
Page 5
... knowledge . " 6. I need hardly name Mr. Mill , because he has expressly disputed the utility and even the truth- fulness of the reforms which I am considering , and 1 No. xxiii . Athenæum . has evolved most divergent opinions of his own ...
... knowledge . " 6. I need hardly name Mr. Mill , because he has expressly disputed the utility and even the truth- fulness of the reforms which I am considering , and 1 No. xxiii . Athenæum . has evolved most divergent opinions of his own ...
Page 10
... knowledge we may have of the nature of elements , because metals are but a subordinate class included among the elements ; and , therefore , possessing all the properties of elements . But we commit an obvious fallacy if we argue in the ...
... knowledge we may have of the nature of elements , because metals are but a subordinate class included among the elements ; and , therefore , possessing all the properties of elements . But we commit an obvious fallacy if we argue in the ...
Page 70
... knowledge , by rendering knowledge of particulars as general as possible , or of indicating the greatest possible number of substitutions which may give rise to acts of inference . I 62. I need hardly point out that not only in 70 THE ...
... knowledge , by rendering knowledge of particulars as general as possible , or of indicating the greatest possible number of substitutions which may give rise to acts of inference . I 62. I need hardly point out that not only in 70 THE ...
Page 79
... branches of the tree of knowledge , and neglect the root - which root is undoubtedly to be found in a true comprehension of logical method . APPENDIX . DESCRIPTION OF THE LOGICAL ABACUS . ALTHOUGH a THE TRUE PRINCIPLE OF REASONING . 79.
... branches of the tree of knowledge , and neglect the root - which root is undoubtedly to be found in a true comprehension of logical method . APPENDIX . DESCRIPTION OF THE LOGICAL ABACUS . ALTHOUGH a THE TRUE PRINCIPLE OF REASONING . 79.
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Common terms and phrases
A B C D abacus ABCD adjective affirmative proposition analogy appear apply Aristotle Aristotle's dictum assert axiom axiom of Euclid Boole Boole's calculus Cambridge canon cloth conclusion consists copula corresponding Crown 8vo differs Diseases ELEMENTARY TREATISE equal equal-sided equivalent expression fallacy fcap follows form of inference forms of reasoning formula George Bentham hence identity indefinite indirect inequalities infallible Iron J. S. Mill law of duality laws of thought Lectures ledge logicians mathematical reasoning means ment metals are elements method mind monarch nature negative proposition obtained Owens College oxygen Philosophy pound weight premises principle of substitution Professor proposition or equation quantification quantity relation represented Royal scientific Second Edition second member self-evident self-luminous Sir William Hamilton slips subject and predicate substitution of similars syllogism symbols term element THEORY Thomson tion triangle true truth undecomposable substance University University of Cambridge
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