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Wittgenstein and Gödel: An Attempt to Make 'Wittgenstein's Objection' Reasonable.

Authors :
Lampert, Timm
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