Wittgenstein on Gödelian 'Incompleteness', Proofs and Mathematical Practice: Reading Remarks on the Foundations of Mathematics, Part I, Appendix III, Carefully

In Sebastian Sunday Grève & Jakub Mácha (eds.), Wittgenstein and the Creativity of Language. Basingstoke, UK: Palgrave Macmillan. pp. 76-116 (2016)

Authors
Abstract
We argue that Wittgenstein’s philosophical perspective on Gödel’s most famous theorem is even more radical than has commonly been assumed. Wittgenstein shows in detail that there is no way that the Gödelian construct of a string of signs could be assigned a useful function within (ordinary) mathematics. — The focus is on Appendix III to Part I of Remarks on the Foundations of Mathematics. The present reading highlights the exceptional importance of this particular set of remarks and, more specifically, emphasises its refined composition and rigorous internal structure.
Keywords Wittgenstein  Gödel  Godel  incompleteness  logic  mathematics  proof
Categories (categorize this paper)
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 38,928
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

Truth in the Investigations.Nicoletta Bartunek - forthcoming - Synthese:1-21.

Add more citations

Similar books and articles

On Some Much Maligned Remarks of Wittgenstein on Gödel.Charles Sayward - 2001 - Philosophical Investigations 24 (3):262–270.
The Gödel Paradox and Wittgenstein's Reasons.Francesco Berto - 2009 - Philosophia Mathematica 17 (2):208-219.
On the Philosophical Relevance of Gödel's Incompleteness Theorems.Panu Raatikainen - 2005 - Revue Internationale de Philosophie 59 (4):513-534.
Mathematical Instrumentalism, Gödel’s Theorem, and Inductive Evidence.Alexander Paseau - 2011 - Studies in History and Philosophy of Science Part A 42 (1):140-149.
Intuitionistic Mathematics and Wittgenstein.Wenceslao J. Gonzalez - 1991 - History and Philosophy of Logic 12 (2):167-183.
Wittgenstein's Later Logic.B. H. Slater - 1979 - Philosophy 54 (208):199 - 209.

Analytics

Added to PP index
2017-02-03

Total views
45 ( #159,320 of 2,319,076 )

Recent downloads (6 months)
12 ( #71,728 of 2,319,076 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature