Gödel, Wittgenstein and the Sensibility of Platonism

The paper presents an interpretation of Platonism, the seeds of which can be found in the writings of Gödel and Wittgenstein. Although it is widely accepted that Wittgenstein is an anti-Platonist the author points to some striking affinities between Gödel’s and Wittgenstein’s accounts of mathematica...

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Main Author: Marcin Poręba
Format: Article
Language:English
Published: University of Warsaw 2021-06-01
Series:Eidos. A Journal for Philosophy of Culture
Subjects:
Online Access:http://eidos.uw.edu.pl/godel-wittgenstein-and-the-sensibility-of-platonism/
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author Marcin Poręba
author_facet Marcin Poręba
author_sort Marcin Poręba
collection DOAJ
description The paper presents an interpretation of Platonism, the seeds of which can be found in the writings of Gödel and Wittgenstein. Although it is widely accepted that Wittgenstein is an anti-Platonist the author points to some striking affinities between Gödel’s and Wittgenstein’s accounts of mathematical concepts and the role of feeling and intuition in mathematics. A version of Platonism emerging from these considerations combines realism with respect to concepts with a view of concepts as accessible to feeling and able to guide our behavior through feeling.
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spelling doaj.art-287b5f69ae664f84bfe22e9e925e06662022-12-21T18:24:54ZengUniversity of WarsawEidos. A Journal for Philosophy of Culture2544-302X2021-06-015110812510.14394/eidos.jpc.2021.0007Gödel, Wittgenstein and the Sensibility of PlatonismMarcin Poręba0https://orcid.org/0000-0002-8843-0894Faculty of Philosophy, University of WarsawThe paper presents an interpretation of Platonism, the seeds of which can be found in the writings of Gödel and Wittgenstein. Although it is widely accepted that Wittgenstein is an anti-Platonist the author points to some striking affinities between Gödel’s and Wittgenstein’s accounts of mathematical concepts and the role of feeling and intuition in mathematics. A version of Platonism emerging from these considerations combines realism with respect to concepts with a view of concepts as accessible to feeling and able to guide our behavior through feeling.http://eidos.uw.edu.pl/godel-wittgenstein-and-the-sensibility-of-platonism/conceptsgödelintuitionmathematicsplatonismrealismrule-followingwittgenstein
spellingShingle Marcin Poręba
Gödel, Wittgenstein and the Sensibility of Platonism
Eidos. A Journal for Philosophy of Culture
concepts
gödel
intuition
mathematics
platonism
realism
rule-following
wittgenstein
title Gödel, Wittgenstein and the Sensibility of Platonism
title_full Gödel, Wittgenstein and the Sensibility of Platonism
title_fullStr Gödel, Wittgenstein and the Sensibility of Platonism
title_full_unstemmed Gödel, Wittgenstein and the Sensibility of Platonism
title_short Gödel, Wittgenstein and the Sensibility of Platonism
title_sort godel wittgenstein and the sensibility of platonism
topic concepts
gödel
intuition
mathematics
platonism
realism
rule-following
wittgenstein
url http://eidos.uw.edu.pl/godel-wittgenstein-and-the-sensibility-of-platonism/
work_keys_str_mv AT marcinporeba godelwittgensteinandthesensibilityofplatonism