Vol. 40 No. 2 (2020)
Articles

Mixed Logics as a Escape for Collapse Problem and Quine Challenge

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  • Joaquín Santiago Toranzo Calderón
Joaquín Santiago Toranzo Calderón
Universidad de Buenos Aires, Buenos Aires, Argentina / Universidad Tecnológica Nacional, Buenos Aires, Argentina
DOI: https://doi.org/10.36446/af.2020.319

Published 2020-11-01

Keywords

  • Logic Pluralism,
  • Quine's Challenge,
  • Collapse Problem,
  • Mixed Logics
  • Pluralismo Lógico,
  • Desafío de Quine,
  • Problema del Colapso,
  • Lógicas Mixtas
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Abstract

In this work, I will present a way to avoid the most recurrent problems in a certain version of logical pluralism, one that argues that even considering a fixed language there are multiple legitimate logical systems. To do this, it will be necessary to consider the starting points of the pluralist program and explain the problems that arise from them, mainly the Quine Challenge and the Collapse Problem. Then, I will propose a modification for what is understood by logical consequence, to be able to consider a family of logical systems, mixed logics, which cover both pure and impure logics. Finally, I will show that with a reasonable interpretation of the formalism, those problems can be avoided while respecting the spirit of the pluralist program.

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