Logical Pluralism and Interpretations of Logical Systems

Logical pluralism is a general idea that there is more than one correct logic. Carnielli and Rodrigues [2019a] defend an epistemic interpretation of the paraconsistent logic N4, according to which an argument is valid in this logic just in case it necessarily preserves evidence. The authors appeal t...

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Authors: Tajer, Diego; Fiore, Camillo Giuliano
Format: Article
Status:Published version
Publication date:2022
Country:Argentina
Institution:Consejo Nacional de Investigaciones Científicas y Técnicas
Repository:CONICET Digital (CONICET)
Language:English
OAI Identifier:oai:ri.conicet.gov.ar:11336/202687
Online Access:http://hdl.handle.net/11336/202687
Access Level:Open access
Keyword:COLLAPSE ARGUMENT
INTERPRETATIONS OF LOGICAL SYSTEMS
LOGICAL PLURALISM
PURE AND APPLIED LOGICS
https://purl.org/becyt/ford/6.3
https://purl.org/becyt/ford/6
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author Tajer, Diego
author2 Fiore, Camillo Giuliano
author2_role author
author_browse Fiore, Camillo Giuliano
Tajer, Diego
author_facet Tajer, Diego
Fiore, Camillo Giuliano
author_role author
collection CONICET Digital (CONICET)
description Logical pluralism is a general idea that there is more than one correct logic. Carnielli and Rodrigues [2019a] defend an epistemic interpretation of the paraconsistent logic N4, according to which an argument is valid in this logic just in case it necessarily preserves evidence. The authors appeal to this epistemic interpretation to briefly motivate a kind of logical pluralism: “different accounts of logical consequence may preserve different properties of propositions”. The aim of this paper is to study the prospect of a logical pluralism based on different interpretations of logical systems. First, we give our analysis of what it means to interpret a logic - and make some hopefully useful distinctions along the way. Second, we present what we call an interpretational logical pluralism: there is more than one correct logic and a logic is correct only if it has some adequate interpretation. We consider four variants of this idea, bring up some possible objections, and try to find plausible solutions on behalf of the pluralist. We will argue that interpretations of logical systems provide a promising - albeit not unproblematic - route to logical pluralism.
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identifier_str_mv Tajer, Diego; Fiore, Camillo Giuliano; Logical Pluralism and Interpretations of Logical Systems; Akademicka Platforma Czasopism; Logic And Logical Philosophy; 31; 2; 7-2-2022; 209-234
1425-3305
CONICET Digital
CONICET
institution Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
language eng
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oai_identifier_str oai:ri.conicet.gov.ar:11336/202687
publishDate 2022
publishDateSort 2022
publisher Akademicka Platforma Czasopism
publisherStr Akademicka Platforma Czasopism
reponame_str CONICET Digital (CONICET)
spelling Logical Pluralism and Interpretations of Logical Systems Tajer, Diego Fiore, Camillo Giuliano COLLAPSE ARGUMENT INTERPRETATIONS OF LOGICAL SYSTEMS LOGICAL PLURALISM PURE AND APPLIED LOGICS https://purl.org/becyt/ford/6.3 https://purl.org/becyt/ford/6 Logical pluralism is a general idea that there is more than one correct logic. Carnielli and Rodrigues [2019a] defend an epistemic interpretation of the paraconsistent logic N4, according to which an argument is valid in this logic just in case it necessarily preserves evidence. The authors appeal to this epistemic interpretation to briefly motivate a kind of logical pluralism: “different accounts of logical consequence may preserve different properties of propositions”. The aim of this paper is to study the prospect of a logical pluralism based on different interpretations of logical systems. First, we give our analysis of what it means to interpret a logic - and make some hopefully useful distinctions along the way. Second, we present what we call an interpretational logical pluralism: there is more than one correct logic and a logic is correct only if it has some adequate interpretation. We consider four variants of this idea, bring up some possible objections, and try to find plausible solutions on behalf of the pluralist. We will argue that interpretations of logical systems provide a promising - albeit not unproblematic - route to logical pluralism. Fil: Tajer, Diego. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Parque Centenario. Instituto de Investigaciones Filosóficas. - Sociedad Argentina de Análisis Filosófico. Instituto de Investigaciones Filosóficas; Argentina Fil: Fiore, Camillo Giuliano. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Parque Centenario. Instituto de Investigaciones Filosóficas. - Sociedad Argentina de Análisis Filosófico. Instituto de Investigaciones Filosóficas; Argentina Akademicka Platforma Czasopism http://hdl.handle.net/11336/202687 Tajer, Diego; Fiore, Camillo Giuliano; Logical Pluralism and Interpretations of Logical Systems; Akademicka Platforma Czasopism; Logic And Logical Philosophy; 31; 2; 7-2-2022; 209-234 1425-3305 CONICET Digital CONICET
spellingShingle Logical Pluralism and Interpretations of Logical Systems
Tajer, Diego
COLLAPSE ARGUMENT
INTERPRETATIONS OF LOGICAL SYSTEMS
LOGICAL PLURALISM
PURE AND APPLIED LOGICS
https://purl.org/becyt/ford/6.3
https://purl.org/becyt/ford/6
status_str publishedVersion
title Logical Pluralism and Interpretations of Logical Systems
title_full Logical Pluralism and Interpretations of Logical Systems
title_fullStr Logical Pluralism and Interpretations of Logical Systems
title_full_unstemmed Logical Pluralism and Interpretations of Logical Systems
title_short Logical Pluralism and Interpretations of Logical Systems
title_sort Logical Pluralism and Interpretations of Logical Systems
topic COLLAPSE ARGUMENT
INTERPRETATIONS OF LOGICAL SYSTEMS
LOGICAL PLURALISM
PURE AND APPLIED LOGICS
https://purl.org/becyt/ford/6.3
https://purl.org/becyt/ford/6
topic_facet COLLAPSE ARGUMENT
INTERPRETATIONS OF LOGICAL SYSTEMS
LOGICAL PLURALISM
PURE AND APPLIED LOGICS
https://purl.org/becyt/ford/6.3
https://purl.org/becyt/ford/6
url http://hdl.handle.net/11336/202687