Ludwig Wittgenstein's philosophy of mathematics

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Ludwig Wittgenstein
Early philosophy Picture theory of language Truth tables Truth conditions Truth functions State of affairs Logical necessity
Later philosophy Meaning as use Language-game Private language argument Family resemblance Ideal language analysis Rule-following Form of life Anti-skepticism Philosophy of mathematics
Movements Analytic philosophy Linguistic turn Ideal language philosophy Logical atomism Pyrrhonian skepticism Ordinary language philosophy Fideism Quietism Therapeutic approach Postanalytic philosophy
Works Tractatus Logico-Philosophicus "Some Remarks on Logical Form" Blue and Brown Books Philosophical Remarks Philosophical Investigations On Certainty Culture and Value Remarks on Frazer's Golden Bough Remarks on the Foundations of Mathematics Zettel Remarks on Colour Lectures and Conversations on Aesthetics, Psychology and Religious Belief
People Bertrand Russell G. E. Moore John Maynard Keynes Paul Engelmann Friedrich Waismann Moritz Schlick Rudolf Carnap Francis Skinner Frank Ramsey Vienna Circle G. E. M. Anscombe Norman Malcolm Rush Rhees Peter Winch Peter Geach G. H. von Wright
Interpreters G. E. M. Anscombe Gordon Baker Stanley Cavell James F. Conant Alice Crary Cora Diamond Terry Eagleton Juliet Floyd A. C. Grayling Peter Hacker Oswald Hanfling Cressida Heyes Jaakko Hintikka Anthony Kenny Saul Kripke Warren Goldfarb Sandra Laugier Sabina Lovibond Norman Malcolm John McDowell Stephen Mulhall Colin McGinn Marie McGinn D. Z. Phillips Rupert Read Constantine Sandis Barry Stroud Stephen Toulmin Michael Williams Peter Winch John Wisdom Crispin Wright Hans Sluga
Other topics Cambridge Apostles Cambridge University Moral Sciences Club New Wittgenstein Stonborough House
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Ludwig Wittgenstein considered his chief contribution to be in the philosophy of mathematics, a topic to which he devoted much of his work between 1929 and 1944.^[1] As with his philosophy of language, Wittgenstein's views on mathematics evolved from the period of the Tractatus Logico-Philosophicus: with him changing from logicism (which was endorsed by his mentor Bertrand Russell) towards a general anti-foundationalism and constructivism that was not readily accepted by the mathematical community. The success of Wittgenstein's general philosophy has tended to displace the real debates on more technical issues.^{[citation needed]}

His Remarks on the Foundations of Mathematics contains his compiled views, notably a controversial repudiation of Gödel's incompleteness theorems.