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Realizability as a Kind of Truthmaking

Linnebo, Øystein; Shapiro, Stewart
Chapter; AcceptedVersion; Peer reviewed
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generality+OL.pdf (143.3Kb)
Year
2019
Permanent link
http://urn.nb.no/URN:NBN:no-77505

CRIStin
1730805

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Appears in the following Collection
  • Institutt for filosofi, ide- og kunsthistorie og klassiske språk [315]
  • CRIStin høstingsarkiv [15868]
Original version
Quo Vadis, Metaphysics. 2019, 351-364, DOI: https://doi.org/10.1515/9783110664812-020
Abstract
This paper is part of a larger project concerning potentiality in mathematics. The first and simplest case is the traditional Aristotelian notion of potential infinity. An issue much like that of truthmaking arises in our explication of one of the options for potential infinity, namely how to make sense of generalizations from that perspective.We use the traditional intuitionistic notion of realizability to resolve the issue, and to help settle the correct logic for one kind of potential infinity.
 
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