Wittgenstein
Bertrand Russell
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Ludwig Wittgenstein's philosophy of mathematics
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.[citation needed]