Original scientific paper

https://doi.org/10.31820/ejap.17.2.2

Logical Relativism Through Logical Contexts

Jonas R. Becker Arenhart orcid.org/0000-0001-8570-7336 ; Federal University of Santa Catarina and Federal University of Maranhão

Abstract

We advance an approach to logical contexts that grounds the claim that logic is a local matter: distinct contexts require distinct logics. The approach results from a concern about context individuation, and holds that a logic may be constitutive of a context or domain of application. We add a naturalistic component: distinct domains are more than mere technical curiosities; as intuitionistic mathematics testifies, some of the distinct forms of inference in different domains are actively pursued as legitimate fields of research in current mathematics, so, unless one is willing to revise the current scientific practice, generalism must go. The approach is advanced by discussing some tenets of a similar argument advanced by Shapiro, in the context of logic as models approach. In order to make our view more appealing, we reformulate a version of logic as models approach following naturalistic lines, and bring logic closer to the use of models in science.

Keywords

Classical logic; intuitionistic logic; relativism; logic as models; context constitution

Hrčak ID:

264439

URI

https://hrcak.srce.hr/264439

Publication date:

30.9.2021.

Article data in other languages: croatian

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