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, Wittgenstein and the Creativity of Language. Palgrave Macmillan. pp. 76-116 (2016)
  Copy   BIBTEX

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.

Other Versions

No versions found

Similar books and articles

On some much maligned remarks of Wittgenstein on gödel.Charles Sayward - 2001 - Philosophical Investigations 24 (3):262–270.
Wittgenstein on Cantor's Proof.Chrysoula Gitsoulis - 2018 - In Gabriele Mras, Paul Weingartner & Bernhard Ritter, Philosophy of Logic and Mathematics: Proceedings of the 41st International Ludwig Wittgenstein Symposium. Berlin, Boston: De Gruyter. pp. 67-69.
Wittgenstein on Cantor's Proof.Chrysoula Gitsoulis - 2018 - In Gabriele Mras, Paul Weingartner & Bernhard Ritter, Philosophy of Logic and Mathematics: Proceedings of the 41st International Ludwig Wittgenstein Symposium. Berlin, Boston: De Gruyter. pp. 67-69.
The gödel paradox and Wittgenstein's reasons.Francesco Berto - 2009 - Philosophia Mathematica 17 (2):208-219.

Analytics

Added to PP
2017-02-03

Downloads
928 (#28,057)

6 months
276 (#11,120)

Historical graph of downloads
How can I increase my downloads?