Lucas Rosenblatt
University of Buenos Aires
Non‐classical logicians do not typically reject classically valid logical principles across the board. In fact, they sometimes suggest that their preferred logic recovers classical reasoning in most circumstances. This idea has come to be known in the literature as ‘classical recapture’. Recently, classical logicians have raised various doubts about it. The main problem is said to be that no rigorous explanation has been given of how is it exactly that classical logic can be recovered. The goal of the paper is to address this problem. First, I discuss a number of different ways to characterize the idea of classical recapture and I examine how far it can be pushed. Secondly, I argue that a palatable form of classical recapture is given by the thought that classical logic can be retained for statements that are grounded (in Kripke’s sense). To substantiate this view I provide a formal fixed‐point semantics for a language containing a predicate standing for the concept of groundedness and I address a couple of objections that have been deployed against the claim that classical recapture can aid the non‐classical logician’s cause.
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DOI 10.1111/phpr.12770
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References found in this work BETA

Outline of a Theory of Truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
The Logic of Paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.
Anti-Exceptionalism About Logic.Ole Thomassen Hjortland - 2017 - Philosophical Studies 174 (3):631-658.
Replacing Truth.Kevin Scharp - 2007 - Inquiry: An Interdisciplinary Journal of Philosophy 50 (6):606 – 621.
Logical Partisanhood.Jack Woods - 2019 - Philosophical Studies 176 (5):1203-1224.

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Citations of this work BETA

Expressing Consistency Consistently.Lucas Rosenblatt - 2021 - Thought: A Journal of Philosophy 10 (1):33-41.

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