Ohmacht, Martin (2003) WittgensteinÂ´s Critique of GödelÂ´s Incompleteness Results. In: PreProceedings of the 26th International Wittgenstein Symposium. Austrian Ludwig Wittgenstein Society, Kirchberg am Wechsel, pp. 269271.

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Abstract
It is often said that GödelÂ´s famous theorem of 1931 is equal to the Cretian Liar, who says that everything that he says is a lie. But GödelÂ´s result is only similar to this sophism and not equivalent to it. When mathematicians deal with GödelÂ´s theorem, then it is often the case that they become poetical or even emotional: some of them show a high esteem of it and others despise it. Wittgenstein sees the famous Liar as a useless language game which doesnÂ´t excite anybody. GödelÂ´s first incompleteness theorem shows us that in mathematics there are puzzles which have no solution at all and therefore in mathematics one should be very careful when one chooses a puzzle on which one wants to work. GödelÂ´s second imcompleteness theorem deals with hidden contradictions â€“ Wittgenstein shows a paradigmatic solution: he simply shrugs his shoulders on this problem and many mathematicians do so today as well. Wittgenstein says than GödelÂ´s results should not be treated as mathematical theorems, but as elements of the humanistic sciences. Wittgenstein sees them as something which should be worked on in a creative manner.
Item Type:  Book Section 

Uncontrolled Keywords:  Incompleteness Theorem; common sense philosophy; LiarÂ´s Paradox; Goedel, A.; Wittgenstein, L. 
Subjects:  Philosophie > Philosophische Journale, Kongresse, Vereinigungen > Wittgenstein Symposium Kirchberg, PreProceedings > Kirchberg 2003 Philosophie > Philosophische Disziplinen > Logik, analytische Philosophie Philosophie > Geschichte der Philosophie > g) 20.Jahrhundert 
Depositing User:  Stefan Köstenbauer 
Date Deposited:  17 Apr 2008 06:40 
Last Modified:  08 Sep 2011 18:52 
URI:  http://sammelpunkt.philo.at/id/eprint/1674 
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