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Bourgeois, Bolshevist or Anarchist? The Reception of Wittgenstein's Philosophy of Mathematics

In Guy Kahane, Edward Kanterian & Oskari Kuusela (eds.), Wittgenstein and His Interpreters: Essays in Memory of Gordon Baker. Oxford: Wiley-Blackwell. pp. 269–294 (2007)

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The Political Import of Wittgenstein’s Philosophical Investigations.Dimitris Gakis - 2018 - Philosophy and Social Criticism 44 (3):229-252.details The present article aims at investigating the political aspects of Wittgenstein’s later philosophy, focusing mainly on the Philosophical Investigations. This theme remains rather marginal within Wittgensteinian scholarship, facing the key challenge of the sparsity of explicit discussions of political issues in Wittgenstein’s writings. Based on the broader anthropological and synecdochic character of Wittgenstein’s later philosophy, the main objective of the article is to make explicit the implicit political import of some of the main themes of the Philosophical Investigations. This is (...) Download Export citation Bookmark 4 citations
From Pictures to Employments: Later Wittgenstein on 'the Infinite'.Philip Bold - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.details With respect to the metaphysics of infinity, the tendency of standard debates is to either endorse or to deny the reality of ‘the infinite’. But how should we understand the notion of ‘reality’ employed in stating these options? Wittgenstein’s critical strategy shows that the notion is grounded in a confusion: talk of infinity naturally takes hold of one’s imagination due to the sway of verbal pictures and analogies suggested by our words. This is the source of various philosophical pictures that (...) Download Export citation Bookmark
Later Wittgenstein on ‘Truth’ and Realism in Mathematics.Philip Bold - 2024 - Philosophy 99 (1):27-51.details I show that Wittgenstein's critique of G.H. Hardy's mathematical realism naturally extends to Paul Benacerraf's influential paper, ‘Mathematical Truth’. Wittgenstein accuses Hardy of hastily analogizing mathematical and empirical propositions, thus leading to a picture of mathematical reality that is somehow akin to empirical reality despite the many puzzles this creates. Since Benacerraf relies on that very same analogy to raise problems about mathematical ‘truth’ and the alleged ‘reality’ to which it corresponds, his major argument falls prey to the same critique. (...) Download Export citation Bookmark 1 citation
Wittgenstein and the Real Numbers.Daesuk Han - 2010 - History and Philosophy of Logic 31 (3):219-245.details When it comes to Wittgenstein's philosophy of mathematics, even sympathetic admirers are cowed into submission by the many criticisms of influential authors in that field. They say something to the effect that Wittgenstein does not know enough about or have enough respect for mathematics, to take him as a serious philosopher of mathematics. They claim to catch Wittgenstein pooh-poohing the modern set-theoretic extensional conception of a real number. This article, however, will show that Wittgenstein's criticism is well grounded. A real (...) Download Export citation Bookmark 3 citations

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