Self-extensional three-valued paraconsistent logics have no implication

Arnon Avron; Jean Yves Beziau

doi:10.1093/jigpal/jzw059

Self-extensional three-valued paraconsistent logics have no implication

Arnon Avron, Jean Yves Beziau

School of Computer Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

A proof is presented showing that there is no paraconsistent logics with a standard implication (or even semi-implication) which have a three-valued characteristic matrix, and in which the replacement principle holds.

Original language	English
Pages (from-to)	183-194
Number of pages	12
Journal	Logic Journal of the IGPL
Volume	25
Issue number	2
DOIs	https://doi.org/10.1093/jigpal/jzw059
State	Published - 1 Apr 2017

Keywords

Implication
Many-valued logic
Negation
Paraconsistent logic
Self-extensionality

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10.1093/jigpal/jzw059

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abstract = "A proof is presented showing that there is no paraconsistent logics with a standard implication (or even semi-implication) which have a three-valued characteristic matrix, and in which the replacement principle holds.",

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Self-extensional three-valued paraconsistent logics have no implication

Abstract

Keywords

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