History and Philosophy of Logic 18 (3):123-138 (1997)
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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.
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Citations of this work BETA
Horrent with Mysterious Spiculæ’. Augustus De Morgan’s Logic Notation of 1850 as a ‘Calculus of Opposite Relations.Anna-Sophie Heinemann - 2018 - History and Philosophy of Logic 39 (1):29-52.
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