Article

Wittgenstein on Philosophy of Logic and Mathematics

Juliet Floyd

in The Oxford Handbook of Philosophy of Mathematics and Logic

Published in print June 2007 | ISBN: 9780195325928
Published online September 2009 | e-ISBN: 9780199540891 | DOI: http://dx.doi.org/10.1093/oxfordhb/9780195325928.003.0004

Series: Oxford Handbooks

Wittgenstein on Philosophy of Logic and Mathematics

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Ludwig Wittgenstein (1889–1951) wrote as much on the philosophy of mathematics and logic as he did on any other topic, leaving at his death thousands of pages of manuscripts, typescripts, notebooks, and correspondence containing remarks on (among others) Brouwer, Cantor, Dedekind, Frege, Hilbert, Poincaré, Skolem, Ramsey, Russell, Gödel, and Turing. He published in his lifetime only a short review (1913) and the Tractatus Logico-Philosophicus (1921), a work whose impact on subsequent analytic philosophy's preoccupation with characterizing the nature of logic was formative. Wittgenstein's reactions to the empiricistic reception of his early work in the Vienna Circle and in work of Russell and Ramsey led to further efforts to clarify and adapt his perspective, stimulated in significant part by developments in the foundations of mathematics of the 1920s and 1930s; these never issued in a second work, though he drafted and redrafted writings more or less continuously for the rest of his life.

Keywords: Ludwig Wittgenstein; philosophy of mathematics and logic; analytic philosophy; Vienna Circle; nature of logic; formativity

Article.  25140 words. 

Subjects: Philosophy ; Philosophy of Mathematics and Logic ; History of Western Philosophy

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