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
Request removal from index
|
Download options
Our Archive
Upload a copy of this paper Check publisher's policy Papers currently archived: 48,997
External links
(no proxy) 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
- Sign in / register and customize your OpenURL resolver..
- Configure custom resolver
References found in this work BETA
No references found.
Citations of this work BETA
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.
Wittgenstein as His Own Worst Enemy: The Case of Gödel's Theorem.Mark Steiner - 2001 - Philosophia Mathematica 9 (3):257-279.
Prose Versus Proof: Wittgenstein on Gödel, Tarski and Truth.Juliet Floyd - 2001 - Philosophia Mathematica 9 (3):280-307.
Prose Versus Proof: Wittgenstein on Gödel, Tarski and Truth†: Articles.Juliet Floyd - 2001 - Philosophia Mathematica 9 (3):280-307.
From Consistency to Incompleteness: A Philosophical Study of Hilbert's Program and Goedel's Incompleteness Theorem.Byoung-il Choi - 1997 - Dissertation, University of California, Berkeley
On the Philosophical Relevance of Gödel's Incompleteness Theorems.Panu Raatikainen - 2005 - Revue Internationale de Philosophie 59 (4):513-534.
On Saying What You Really Want to Say: Wittgenstein, Gödel and the Trisection of the Angle.Juliet Floyd - 1995 - In Jaakko Hintikka (ed.), From Dedekind to Gödel: The Foundations of Mathematics in the Early Twentieth Century, Synthese Library Vol. 251 (Kluwer Academic Publishers. pp. 373-426.
Misunderstanding Gödel: New Arguments About Wittgenstein and New Remarks by Wittgenstein.Victor Rodych - 2003 - Dialectica 57 (3):279–313.
Ludwig Wittgenstein's Philosophy of Mathematics: The Search for a Clear View.John Arthur Humphrey - 1988 - Dissertation, Washington University
"A Mathematical Proof Must Be Surveyable" What Wittgenstein Meant by This and What It Implies.Felix Mühlhölzer - 2006 - Grazer Philosophische Studien 71 (1):57-86.
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.
Kurt Gödel and the Foundations of Mathematics: Horizons of Truth.Matthias Baaz (ed.) - 2011 - Cambridge University Press.
Analytics
Added to PP index
2017-02-03
Total views
49 ( #186,628 of 2,310,430 )
Recent downloads (6 months)
1 ( #754,118 of 2,310,430 )
2017-02-03
Total views
49 ( #186,628 of 2,310,430 )
Recent downloads (6 months)
1 ( #754,118 of 2,310,430 )
How can I increase my downloads?
Downloads
