Set Theory and Logic


Refutation of Two Modern Modal Logics: Jyb4 and Follow-on Ar4 © Copyright 2018 by Colin James III All Rights Reserved.

Authors: Colin James III

JYB4, a logic system named after its writer Jean-Yves Béziau, is less a logic system and more of a model checking system based on 13 axioms for which p and q are assigned ±1 to evaluate models by arithmetic. AR4, described by its writer Fabian Schang as a doxistic "deviant" logic system, is a follow-on of six more axioms. Of the 19 axioms, 8 or 42% are not tautologous. We conclude that those statistics remove JYB4 and AR4 from further serious consideration as viable modern modal four-valued logics.

Comments: 1 Page. © Copyright 2018 by Colin James III All rights reserved. info@cec-services dot com

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[v1] 2018-06-08 15:43:03

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