Matrix- based logic for avoiding paradoxes and its paraconsistent alternative

Paul Weingartner · UNICAMP - Universidade Estadual de Campinas, Centro de Lógica, Epistemologia e História da Ciência · 2011

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Author / responsible party

Paul Weingartner

Publisher

UNICAMP - Universidade Estadual de Campinas, Centro de Lógica, Epistemologia e História da Ciência

Year

2011

ISSN

2317-630X

ISSN

2317-630X

Language

English

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The present article shows that there are consistent and decidable many- valued systems of propositional logic which satisfy two or all the three criteria for non- trivial inconsistent theories by da Costa (1974). The weaker one of these paraconsistent system is also able to avoid a series of paradoxes which come up when classical logic is applied to empirical sciences. These paraconsistent systems are based on a 6- valued system of propositional logic for avoiding difficulties in several domains of empirical science (Weingartner (2009)).

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APA 7

Weingartner, P. (2011). Matrix- based logic for avoiding paradoxes and its paraconsistent alternative. https://doi.org/10.1590/S0100-60452011000100016

MLA

Weingartner, Paul. "Matrix- based logic for avoiding paradoxes and its paraconsistent alternative." 2011. https://doi.org/10.1590/S0100-60452011000100016.

Chicago

Weingartner, Paul. 2011. "Matrix- based logic for avoiding paradoxes and its paraconsistent alternative.". https://doi.org/10.1590/S0100-60452011000100016.

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Weingartner, P. 2011, Matrix- based logic for avoiding paradoxes and its paraconsistent alternative, UNICAMP - Universidade Estadual de Campinas, Centro de Lógica, Epistemologia e História da Ciência, available at: https://doi.org/10.1590/S0100-60452011000100016 [Accessed 8 Aug. 2026].

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Title: Matrix- based logic for avoiding paradoxes and its paraconsistent alternative

Author / contributors: Paul Weingartner

Publisher: UNICAMP - Universidade Estadual de Campinas, Centro de Lógica, Epistemologia e História da Ciência

Publication year: 2011

ISSN: 2317-630X

ISSN: 2317-630X

Language: English

Subjects

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Paraconsistent system; Paradox; Relevance; Many- valued logic