A logic for logical acceptance
DOI:
https://doi.org/10.4013/fsu.2025.262.03Keywords:
logical acceptance, epistemic logic, logical rejection, logical consequence, non-normal logic.Abstract
In this article, I develop a formal analysis of the concept of logical acceptance, extending a proposal by Lokhorst (1997). In the formal system I propose, we can represent the idea that an agent accepts a certain sentence or argument as valid. To do this, we use the apparatus of epistemic logic. As an example, we explore the possibility of accepting or rejecting three-valued logics such as LP or K3. I then develop a semantics for this system, using ideas from non-normal modal logic. Towards the end of the article, I show that not only logical acceptance and rejection can be represented in the system, but also beliefs about the logical commitments of other agents.
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Copyright (c) 2025 Diego Tajer
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I grant the Filosofia Unisinos – Unisinos Journal of Philosophy the first publication of my article, licensed under Creative Commons Attribution license 4.0 (which allows sharing of work, recognition of authorship and initial publication in this journal).
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