History and Philosophy of Logic 18 (3):123-138 (1997)

Authors
Victor Sanchez
University of Geneva
Abstract
This paper is concerned with De Morgan?s explanation of the validity of arguments that involve relational notions. It discusses De Morgan?s expansion of traditional logic aimed at accommodating those inferences, and makes the point that his endeavour is not successful in that the rules that made up his new logic are not sound. Nevertheless, the most important scholarly work on De Morgan?s logic, and contrary to that De Morgan?s mistake is not beyond repair. The rules that determine his new logic are in fact monotonie replacement rules. And provided they are restricted in the correct way, these rules are demonstrably sound
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DOI 10.1080/01445349708837283
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References found in this work BETA

The Mathematics of Sentence Structure.Joachim Lambek - 1968 - Journal of Symbolic Logic 33 (4):627-628.
Principia Mathematica.Morris R. Cohen - 1912 - Philosophical Review 21 (1):87.

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