First-order anti-intuitionistic logic with apartness

descriptionPublicationkeyboard_double_arrow_right Article 21 Dec 2004Publisher:Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus UniversityJournal:Logic and Logical Philosophy, volume 13 (issn: 1425-3305,

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Authors: Andreas B.M. Brunner;

doi: 10.12775/llp.2004.005

First-order anti-intuitionistic logic with apartness

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Abstract

In this paper we will develop a first-order anti-intuitionistic logic without and with paraconsistent apartness. We will give a system of Hilbert-type counter-axioms, that we show to be correct and complete with respect to a deictic Kripke semantics. Also we will illustrate some examples about objects being apart and not apart in some possible world.

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Federal University of Western Bahia
Brazil

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