Wittgenstein's philosophy of mathematics | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-01-28

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Ludwig_Wittgenstein%27s_philosophy_of_mathematics


00:00:55 1 Tractatus
00:01:40 2 Philosophy of mathematics, post-1929
00:02:36 3 The Lectures on the Foundations of mathematics
00:03:04 4 The Remarks on the Foundations of mathematics (1937–44)



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- Socrates


SUMMARY
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Ludwig Wittgenstein considered his chief contribution to philosophy to be in the philosophy of mathematics, a topic to which he devoted much of his work between 1929 and 1944. As with his philosophy of language, Wittgenstein's views on mathematics evolved from the period of the Tractatus Logico-Philosophicus, changing from logicism which was endorsed by his mentor Bertrand Russell,  to a general anti-foundationalism and constructivism that was not readily accepted by the mathematical community. The main source in Wittgenstein's thinking on mathematics is the text compiled as Remarks on the Foundations of Mathematics, which contains the late Wittgenstein's views, notably a controversial repudiation of Gödel's incompleteness theorems. The success of Wittgenstein's general philosophy has tended to displace the real debates on more technical issues.