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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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Published in:Logic & Logical Philosophy Vol. 31; no. 2; pp. 209 - 235
Main Authors: Tajer, Diego, Fiore, Camillo
Format: Article
Published: Logic & Logical Philosophy Jun2022
Subjects:
Pluralism
Logic
Online Access:View this record in EBSCOhost
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      dt: Jun2022
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      pub: Logic & Logical Philosophy
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        au:
          Tajer, Diego
          Fiore, Camillo
        affil:
          Munich Center for Mathematical Philosophy Ludwig-Maximilians-Universität Munich, Germany
          Instituto de Filosofía Universidad de Buenos Aires Buenos Aires, Argentina
      su:
        Pluralism
        Logic
      sug:
        subj:
          Pluralism
          Logic
      keyword:
        collapse argument
        interpretations of logical systems
        logical pluralism
        pure and applied logics
      ab: 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.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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