David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Notre Dame Journal of Formal Logic 38 (2):195-224 (1997)
From 1929 through 1944, Wittgenstein endeavors to clarify mathematical meaningfulness by showing how (algorithmically decidable) mathematical propositions, which lack contingent "sense," have mathematical sense in contrast to all infinitistic "mathematical" expressions. In the middle period (1929-34), Wittgenstein adopts strong formalism and argues that mathematical calculi are formal inventions in which meaningfulness and "truth" are entirely intrasystemic and epistemological affairs. In his later period (1937-44), Wittgenstein resolves the conflict between his intermediate strong formalism and his criticism of set theory by requiring that a mathematical calculus (vs. a "sign-game") must have an extrasystemic, real world application, thereby returning to the weak formalism of the Tractatus
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Victor Rodych (1999). Wittgenstein on Irrationals and Algorithmic Decidability. Synthese 118 (2):279-304.
Witold Marciszewski (ed.) (2006). Issues of Decidability and Tractability. University of Białystok.
Charles Sayward (2005). Steiner Versus Wittgenstein: Remarks on Differing Views of Mathematical Truth. Theoria 20 (3):347-352.
Francesco Berto (2009). The Gödel Paradox and Wittgenstein's Reasons. Philosophia Mathematica 17 (2):208-219.
Fred S. Roberts (1980). On Luce's Theory of Meaningfulness. Philosophy of Science 47 (3):424-433.
Charles Sayward (2005). Steiner Versus Wittgenstein. Theoria 20 (3):347-352.
Nicole Note (2009). Reflecting on the Meaning of Life. Philosophy in the Contemporary World 16 (2):22-31.
S. Friederich (2011). Motivating Wittgenstein's Perspective on Mathematical Sentences as Norms. Philosophia Mathematica 19 (1):1-19.
Mark Steiner (2001). Wittgenstein as His Own Worst Enemy: The Case of Gödel's Theorem. Philosophia Mathematica 9 (3):257-279.
Sílvio Pinto (1998). Wittgenstein's Anti-Platonism. Grazer Philosophische Studien 56:109-132.
Victor Rodych (2003). Misunderstanding Gödel: New Arguments About Wittgenstein and New Remarks by Wittgenstein. Dialectica 57 (3):279–313.
Mark Steiner (2009). Empirical Regularities in Wittgenstein's Philosophy of Mathematics. Philosophia Mathematica 17 (1):1-34.
Added to index2010-08-24
Total downloads9 ( #163,400 of 1,099,910 )
Recent downloads (6 months)1 ( #303,846 of 1,099,910 )
How can I increase my downloads?