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  1. Wittgenstein and Gödel: An Attempt to Make ‘Wittgenstein’s Objection’ Reasonable†.Timm Lampert - 2018 - Philosophia Mathematica 26 (3):324-345.
    According to some scholars, such as Rodych and Steiner, Wittgenstein objects to Gödel’s undecidability proof of his formula $$G$$, arguing that given a proof of $$G$$, one could relinquish the meta-mathematical interpretation of $$G$$ instead of relinquishing the assumption that Principia Mathematica is correct. Most scholars agree that such an objection, be it Wittgenstein’s or not, rests on an inadequate understanding of Gödel’s proof. In this paper, I argue that there is a possible reading of such an objection that is, (...)
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  • Wittgenstein’s Philosophy of Mathematics: Felix Mühlhölzer in Conversation with Sebastian Grève.Felix Mühlhölzer - 2014 - Nordic Wittgenstein Review 3 (2):151-180.
    Sebastian Grève interviews Felix Mühlhölzer on his work on the philosophy of mathematics.
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  • (1 other version)Motivating Wittgenstein's Perspective on Mathematical Sentences as Norms.Simon Friederich - 2011 - Philosophia Mathematica 19 (1):1-19.
    The later Wittgenstein’s perspective on mathematical sentences as norms is motivated for sentences belonging to Hilbertian axiomatic systems where the axioms are treated as implicit definitions. It is shown that in this approach the axioms are employed as norms in that they function as standards of what counts as using the concepts involved. This normative dimension of their mode of use, it is argued, is inherited by the theorems derived from them. Having been motivated along these lines, Wittgenstein’s perspective on (...)
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  • Depth and Clarity * Felix Muhlholzer. Braucht die Mathematik eine Grundlegung? Eine Kommentar des Teils III von Wittgensteins Bemerkungen uber die Grundlagen der Mathematik [Does Mathematics need a Foundation? A Commentary on Part III of Wittgenstein's Remarks on the Foundations of Mathematics]. Frankfurt: Vittorio Klostermann, 2010. ISBN: 978-3-465-03667-8. Pp. xiv + 602. [REVIEW]Juliet Floyd - 2015 - Philosophia Mathematica 23 (2):255-276.
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