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Wittgenstein's philosophy of mathematics

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  1. Motivating Wittgenstein's Perspective on Mathematical Sentences as Norms.S. 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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  • How Are Concepts of Infinity Acquired?Kazimierz Trzęsicki - 2015 - Studies in Logic, Grammar and Rhetoric 40 (1):179-217.
    Concepts of infinity have been subjects of dispute since antiquity. The main problems of this paper are: is the mind able to acquire a concept of infinity? and: how are concepts of infinity acquired? The aim of this paper is neither to say what the meanings of the word “infinity” are nor what infinity is and whether it exists. However, those questions will be mentioned, but only in necessary extent.
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  • Alain Badiou’s Wittgenstein’s Antiphilosophy.Michael A. Peters - 2019 - Educational Philosophy and Theory 52 (7):699-703.
    Volume 52, Issue 7, July 2020, Page 699-703.
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  • Some Remarks on Wittgenstein’s Philosophy of Mathematics.Richard Startup - 2020 - Open Journal of Philosophy 10 (1):45-65.
    Drawing mainly from the Tractatus Logico-Philosophicus and his middle period writings, strategic issues and problems arising from Wittgenstein’s philosophy of mathematics are discussed. Topics have been so chosen as to assist mediation between the perspective of philosophers and that of mathematicians on their developing discipline. There is consideration of rules within arithmetic and geometry and Wittgenstein’s distinctive approach to number systems whether elementary or transfinite. Examples are presented to illuminate the relation between the meaning of an arithmetical generalisation or theorem (...)
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  • Depth and ClarityFelix Mühlhölzer. Braucht Die Mathematik Eine Grundlegung? Eine Kommentar des Teils III von Wittgensteins Bemerkungen Über 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.
  • Hilary Putnam on Meaning and Necessity.Anders Öberg - 2011 - Dissertation, Uppsala University
    In this dissertation on Hilary Putnam's philosophy, I investigate his development regarding meaning and necessity, in particular mathematical necessity. Putnam has been a leading American philosopher since the end of the 1950s, becoming famous in the 1960s within the school of analytic philosophy, associated in particular with the philosophy of science and the philosophy of language. Under the influence of W.V. Quine, Putnam challenged the logical positivism/empiricism that had become strong in America after World War II, with influential exponents such (...)
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  • On an Important Aspect of Relations Between a Problem and Its Solution in Mathematics and the Concept of Proof.Toshio Irie - 2012 - Kagaku Tetsugaku 45 (2):115-129.
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