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Examples
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In the late thirties, at least from 1938 on, he developed as a response to Gentzen's proof his own special interpretation of intuitionistic logic and arithmetic, what came to be known as the Dialectica interpretation.
Chores 2009
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"Dialectica" he expounds clearly and concisely the logic of
The Catholic Encyclopedia, Volume 9: Laprade-Mass Liturgy 1840-1916 1913
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In his work to which Cousin gave the title "Dialectica", and in his commentaries, he strove to widen the scope and enhance the utility of logic as a science.
The Catholic Encyclopedia, Volume 9: Laprade-Mass Liturgy 1840-1916 1913
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( "Dialectica") interpretation, "Chapter V of S. Buss, ed.,
Intuitionistic Logic Moschovakis, Joan 2007
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Abelard's philosophical works are "Dialectica," a logical treatise consisting of four books (of which the first is missing); "Liber
The Catholic Encyclopedia, Volume 1: Aachen-Assize 1840-1916 1913
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"Dialectica"); Glosses on Porphyry, Boëius, and the Aristotelian
The Catholic Encyclopedia, Volume 1: Aachen-Assize 1840-1916 1913
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In less than five pages in the Dialectica (245-249) he treats modal, oblique, and temporal syllogistic logic.
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There is no modal syllogistic explicitly outlined in any of Abelard's logical works, though in the Dialectica, he exemplifies some of the valid mixed moods: M-M in the first figure, MM - in the second, and M-M in the third (M represents a possibility sentence and ˜-™ an assertoric).
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Dialectica, however, that the theory is outlined in full.
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Peter Abelard, Dialectica, ed. L.M. de Rijk (Wijsgerige teksten en studies 1), Assen: Van Gorcum, 1956.
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