2023
DOI: 10.1093/mind/fzad006
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Recapture Results and Classical Logic

Abstract: An old and well-known objection to non-classical logics is that they are too weak; in particular, they cannot prove a number of important mathematical results. A promising strategy to deal with this objection consists in proving so-called recapture results. Roughly, these results show that classical logic can be used in mathematics and other unproblematic contexts. However, the strategy faces some potential problems. First, typical recapture results are formulated in a purely logical language, and do not gener… Show more

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Cited by 2 publications
(2 citation statements)
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“…While there are various forms of recapture claims in the literature-see e.g. Field (2008); Beall (2013); Hjortland (2017); Fiore and Rosenblatt (2023)-the underlying idea is that nonclassical theories do not reject classically valid principles across the board. In normal conditions, e.g.…”
Section: The Costs Of Nonclassical Logics Classical Recapture and Non...mentioning
confidence: 99%
“…While there are various forms of recapture claims in the literature-see e.g. Field (2008); Beall (2013); Hjortland (2017); Fiore and Rosenblatt (2023)-the underlying idea is that nonclassical theories do not reject classically valid principles across the board. In normal conditions, e.g.…”
Section: The Costs Of Nonclassical Logics Classical Recapture and Non...mentioning
confidence: 99%
“…for the cases of intuitionism and dialetheism, respectively 24. See[42,47] and[32,59] for arguments against and in favor of this strategy, respectively.…”
mentioning
confidence: 99%