Naive Set Theory with Extensionality in Partial Logic and in Paradoxical Logic

Notre Dame Journal of Formal Logic 35 (1):15-40 (1994)
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Abstract

Two distinct and apparently "dual" traditions of non-classical logic, three-valued logic and paraconsistent logic, are considered here and a unified presentation of "easy-to-handle" versions of these logics is given, in which full naive set theory, i.e. Frege's comprehension principle + extensionality, is not absurd

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