The non-Boolean logic of natural language negation

Philosophia Mathematica 2 (1):45-68 (1994)
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Abstract

Since antiquity two different negations in natural languages have been noted: predicate negation and predicate term negation . The extensive literature offers no models. We propose category-theoretic models with two distinct negation operators, neither of them in general Boolean. We study combinations of the two and sentential counterparts of each. We emphasize the relevance of our work for the theory of cognition

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original Reyes Marie la Palme; Macnamara John; Reyes Gonzalo E.; Zolfaghari Houman (1994) "The Non-Boolean Logic of Natural Language Negation". Philosophia Mathematica 2(1):45-68

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