Wittgenstein and Gödel: An Attempt to Make ‘Wittgenstein’s Objection’ Reasonable†

Philosophia Mathematica 26 (3):324-345 (2018)
  Copy   BIBTEX


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. 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.



    Upload a copy of this work     Papers currently archived: 80,001

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

The gödel paradox and Wittgenstein's reasons.Francesco Berto - 2009 - Philosophia Mathematica 17 (2):208-219.
On some much maligned remarks of Wittgenstein on gödel.Charles Sayward - 2001 - Philosophical Investigations 24 (3):262–270.
Gödel's and Other Paradoxes.Hartley Slater - 2016 - Philosophical Investigations 39 (4):353-361.
Godel's Theorem in Focus.S. G. Shanker (ed.) - 1987 - Routledge.
Godel's Theorem in Focus.Stuart Shanker (ed.) - 1987 - Routledge.


Added to PP

60 (#208,842)

6 months
5 (#166,329)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Timm Lampert
Humboldt-University, Berlin

References found in this work

The Principles of Mathematics.Bertrand Russell - 1903 - Cambridge, England: Allen & Unwin.
Tractatus logico-philosophicus.Ludwig Wittgenstein - 1922 - Filosoficky Casopis 52:336-341.
Introduction to Mathematical Logic.Alonzo Church - 1944 - Princeton: Princeton University Press.
The logic of paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.

View all 68 references / Add more references