Saatela, S. (2011). From Logical Method to “Messing about”: Wittgenstein on “Open Problems” in Mathematics. In O. Kuusela, & M. McGinn (Eds.), The Oxford Handbook of Wittgenstein (Chapter 8). Oxford: Oxford University Press.
https://doi.org/10.1093/oxfordhb/9780199287505.003.0009

has been cited by the following article:

• TITLE: Some Remarks on Wittgenstein’s Philosophy of Mathematics

  AUTHORS: Richard Startup

  KEYWORDS: Wittgenstein, Philosophy of Mathematics, Rules, Number Systems, Theorem and Proof

  JOURNAL NAME: Open Journal of Philosophy, Vol.10 No.1, January 3, 2020

  ABSTRACT: 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 and its proof. An attempt is made to meet directly some of Wittgenstein’s critical comments on the mathematical treatment of infinity and irrational numbers.