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Truth, Existence and Explanation: FilMat 2016 Studies in the Philosophy of Mathematics
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SYSNO ASEP 0496697 Document Type M - Monograph Chapter R&D Document Type Monograph Chapter Title Intensionality in Mathematics Author(s) Peregrin, Jaroslav (FLU-F) RID, ORCID, SAI Source Title Truth, Existence and Explanation: FilMat 2016 Studies in the Philosophy of Mathematics. - Cham : Springer, 2018 / Piazza M. ; Pulcini G. - ISSN 0068-0346 - ISBN 978-3-319-93341-2 Pages s. 57-70 Number of pages 14 s. Number of pages 272 Publication form Print - P Language eng - English Country CH - Switzerland Keywords intensionality ; mathematical logic ; Gödel’s theorems ; possible worlds Subject RIV AA - Philosophy ; Religion OECD category Philosophy, History and Philosophy of science and technology R&D Projects GA17-15645S GA ČR - Czech Science Foundation (CSF) Institutional support FLU-F - RVO:67985955 DOI 10.1007/978-3-319-93342-9 Annotation Do mathematical expressions have intensions, or merely extensions? If we accept the standard account of intensions based on possible worlds, it would seem that the latter is the case – there is no room for nontrivial intensions in the case of non-empirical expressions. However, some vexing mathematical problems, notably Gödel’s Second Incompleteness Theorem, seem to presuppose an intensional construal of some mathematical expressions. Hence, can we make room for intensions in mathematics? In this paper we argue that this is possible, provided we give up the standard approach to intensionality based on possible worlds. Workplace Institute of Philosophy Contact Chlumská Simona, chlumska@flu.cas.cz ; Tichá Zuzana, asep@flu.cas.cz Tel: 221 183 360 Year of Publishing 2019
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