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" These may be thus summed up : The affirmation of a universal proposition, and the denial of a particular one, enable us to affirm or deny all the other three ; but the denial of a universal proposition, and the affirmation of a particular one, leave us... "
First Notions of Logic: (preparatory to the Study of Geometry) - Pàgina 8
per Augustus De Morgan - 1840 - 32 pàgines
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Formal Logic: Or, The Calculus of Inference, Necessary and Probable

Augustus De Morgan - 1847 - 376 pàgines
...(A),E,O From (O) ... A, (E), I Thefe may be thus fummed up : The affirmation of a univerfal propofition, and the denial of a particular one, enable us to affirm...or deny all the other three ; but the denial of a univerfal propofition, and the affirmation of a particular one, leave us unable to affirm or deny two...
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Elementary notions of logic, designed as prolegomena to the study of geometry

Alfred Milnes - 1880 - 140 pàgines
...the other. And the results of the formulae may, as a whole, be summed up in the following rule : — The affirmation of a universal proposition, and the...leave us unable to affirm or deny two of the others. " It is a rule of practical Logic that a contradictory should always in disputations be used in preference...
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Groundwork of Logic

James Welton - 1917 - 380 pàgines
...hold. I and O : subcontrary relation. Both may be true ; both cannot be false. Or, more generally : " The affirmation of a universal proposition, and the...leave us unable to affirm or deny two of the others." * (vii) OPPOSITION OF SINGULAR PROPOSITIONS. — -The relations we have considered hold between propositions...
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