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Anti-Intuitionism and Paraconsistency

by: Andreas B. M. Brunner, Walter A. Carnielli
  Key: citeulike:1168780

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Abstract

This paper aims to help to elucidate some questions on the duality between the intuitionistic and the paraconsistent paradigms of thought, proposing some new classes of anti-intuitionistic propositional logics and investigating their relationships with the original intuitionistic logics. It is shown here that anti-intuitionistic logics are paraconsistent, and in particular we develop a first anti-intuitionistic hierarchy starting with Johansson 's dual calculus and ending up with Godel's...


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