Inconsistency, Paraconsistency and ω-Inconsistency

Detalhes bibliográficos
Autor(a) principal: Da Ré, Bruno
Data de Publicação: 2018
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Principia (Florianópolis. Online)
Texto Completo: https://periodicos.ufsc.br/index.php/principia/article/view/1808-1711.2018v22n1p171
Resumo: In this paper I’ll explore the relation between ω-inconsistency and plain inconsistency, in the context of theories that intend to capture semantic concepts. In particular, I’ll focus on two very well known inconsistent but non-trivial theories of truth: LP and STTT. Both have the interesting feature of being able to handle semantic and arithmetic concepts, maintaining the standard model. However, it can be easily shown that both theories are ω- inconsistent. Although usually a theory of truth is generally expected to be ω-consistent, all conceptual concerns don’t apply to inconsistent theories. Finally, I’ll explore if it’s possible to have an inconsistent, butω-consistent theory of truth, restricting my analysis to substructural theories.
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spelling Inconsistency, Paraconsistency and ω-InconsistencyIn this paper I’ll explore the relation between ω-inconsistency and plain inconsistency, in the context of theories that intend to capture semantic concepts. In particular, I’ll focus on two very well known inconsistent but non-trivial theories of truth: LP and STTT. Both have the interesting feature of being able to handle semantic and arithmetic concepts, maintaining the standard model. However, it can be easily shown that both theories are ω- inconsistent. Although usually a theory of truth is generally expected to be ω-consistent, all conceptual concerns don’t apply to inconsistent theories. Finally, I’ll explore if it’s possible to have an inconsistent, butω-consistent theory of truth, restricting my analysis to substructural theories.Federal University of Santa Catarina – UFSC2018-08-22info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufsc.br/index.php/principia/article/view/1808-1711.2018v22n1p17110.5007/1808-1711.2018v22n1p171Principia: an international journal of epistemology; Vol. 22 No. 1 (2018); 171-188Principia: an international journal of epistemology; Vol. 22 Núm. 1 (2018); 171-188Principia: an international journal of epistemology; v. 22 n. 1 (2018); 171-1881808-17111414-4247reponame:Principia (Florianópolis. Online)instname:Universidade Federal de Santa Catarina (UFSC)instacron:UFSCenghttps://periodicos.ufsc.br/index.php/principia/article/view/1808-1711.2018v22n1p171/pdfCopyright (c) 2021 Bruno Da Réinfo:eu-repo/semantics/openAccessDa Ré, Bruno2018-08-22T09:32:35Zoai:periodicos.ufsc.br:article/58640Revistahttps://periodicos.ufsc.br/index.php/principiaPUBhttps://periodicos.ufsc.br/index.php/principia/oaiprincipia@contato.ufsc.br||principia@contato.ufsc.br1808-17111414-4247opendoar:2018-08-22T09:32:35Principia (Florianópolis. Online) - Universidade Federal de Santa Catarina (UFSC)false
dc.title.none.fl_str_mv Inconsistency, Paraconsistency and ω-Inconsistency
title Inconsistency, Paraconsistency and ω-Inconsistency
spellingShingle Inconsistency, Paraconsistency and ω-Inconsistency
Da Ré, Bruno
title_short Inconsistency, Paraconsistency and ω-Inconsistency
title_full Inconsistency, Paraconsistency and ω-Inconsistency
title_fullStr Inconsistency, Paraconsistency and ω-Inconsistency
title_full_unstemmed Inconsistency, Paraconsistency and ω-Inconsistency
title_sort Inconsistency, Paraconsistency and ω-Inconsistency
author Da Ré, Bruno
author_facet Da Ré, Bruno
author_role author
dc.contributor.author.fl_str_mv Da Ré, Bruno
description In this paper I’ll explore the relation between ω-inconsistency and plain inconsistency, in the context of theories that intend to capture semantic concepts. In particular, I’ll focus on two very well known inconsistent but non-trivial theories of truth: LP and STTT. Both have the interesting feature of being able to handle semantic and arithmetic concepts, maintaining the standard model. However, it can be easily shown that both theories are ω- inconsistent. Although usually a theory of truth is generally expected to be ω-consistent, all conceptual concerns don’t apply to inconsistent theories. Finally, I’ll explore if it’s possible to have an inconsistent, butω-consistent theory of truth, restricting my analysis to substructural theories.
publishDate 2018
dc.date.none.fl_str_mv 2018-08-22
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.ufsc.br/index.php/principia/article/view/1808-1711.2018v22n1p171
10.5007/1808-1711.2018v22n1p171
url https://periodicos.ufsc.br/index.php/principia/article/view/1808-1711.2018v22n1p171
identifier_str_mv 10.5007/1808-1711.2018v22n1p171
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://periodicos.ufsc.br/index.php/principia/article/view/1808-1711.2018v22n1p171/pdf
dc.rights.driver.fl_str_mv Copyright (c) 2021 Bruno Da Ré
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2021 Bruno Da Ré
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Federal University of Santa Catarina – UFSC
publisher.none.fl_str_mv Federal University of Santa Catarina – UFSC
dc.source.none.fl_str_mv Principia: an international journal of epistemology; Vol. 22 No. 1 (2018); 171-188
Principia: an international journal of epistemology; Vol. 22 Núm. 1 (2018); 171-188
Principia: an international journal of epistemology; v. 22 n. 1 (2018); 171-188
1808-1711
1414-4247
reponame:Principia (Florianópolis. Online)
instname:Universidade Federal de Santa Catarina (UFSC)
instacron:UFSC
instname_str Universidade Federal de Santa Catarina (UFSC)
instacron_str UFSC
institution UFSC
reponame_str Principia (Florianópolis. Online)
collection Principia (Florianópolis. Online)
repository.name.fl_str_mv Principia (Florianópolis. Online) - Universidade Federal de Santa Catarina (UFSC)
repository.mail.fl_str_mv principia@contato.ufsc.br||principia@contato.ufsc.br
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