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Wittgenstein and Gödel: An Attempt to Make 'Wittgenstein's Objection' Reasonable.
- Source :
-
Philosophia Mathematica . Oct2018, Vol. 26 Issue 3, p324-345. 22p. - Publication Year :
- 2018
-
Abstract
- According to some scholars, such as Rodych and Steiner, Wittgenstein objects to Gödel's undecidability proof of his formula $$G$$, arguing that given a proof of $$G$$, one could relinquish the meta-mathematical interpretation of $$G$$ instead of relinquishing the assumption that Principia Mathematica is correct (or $$\omega$$ -consistent). Most scholars agree that such an objection, be it Wittgenstein's or not, rests on an inadequate understanding of Gödel's proof. In this paper, I argue that there is a possible reading of such an objection that is, in fact, reasonable and related to Gödel's proof. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00318019
- Volume :
- 26
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Philosophia Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- 132515577
- Full Text :
- https://doi.org/10.1093/philmat/nkx017