David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 137 (1-2):103 - 127 (2003)
In this paper, I present a summary of the philosophical relationship betweenWittgenstein and Brouwer, taking as my point of departure Brouwer's lecture onMarch 10, 1928 in Vienna. I argue that Wittgenstein having at that stage not doneserious philosophical work for years, if one is to understand the impact of thatlecture on him, it is better to compare its content with the remarks on logics andmathematics in the Tractactus. I thus show that Wittgenstein's position, in theTractactus, was already quite close to Brouwer's and that the points of divergence are the basis to Wittgenstein's later criticisms of intuitionism. Among the topics of comparison are the role of intuition in mathematics, rule following, choice sequences, the Law of Excluded Middle, and the primacy of arithmetic over logic.
|Keywords||Philosophy Philosophy Epistemology Logic Metaphysics Philosophy of Language|
|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
Michael Wrigley (1989). The Origins of Wittgenstein's Verificationism. Synthese 78 (3):265 - 290.
Mathieu Marion (1995). Wittgenstein and Finitism. Synthese 105 (2):141 - 176.
Enrico Martino (1988). Brouwer's Equivalence Between Virtual and Inextensible Order. History and Philosophy of Logic 9 (1):57-66.
Roberto Giuntini (1992). Brouwer-Zadeh Logic, Decidability and Bimodal Systems. Studia Logica 51 (1):97 - 112.
L. E. J. Brouwer (1981). Brouwer's Cambridge Lectures on Intuitionism. Cambridge University Press.
Mark Van Atten (2003). Brouwer, as Never Read by Husserl. Synthese 137 (1/2):3-19.
Markus Sebastiaan Paul Rogier van Atten (2007). Brouwer Meets Husserl: On the Phenomenology of Choice Sequences. Springer.
Mark van Atten, Dirk van Dalen & And Richard Tieszen (2002). Brouwer and Weyl: The Phenomenology and Mathematics of the Intuitive Continuumt. Philosophia Mathematica 10 (2):203-226.
Joop Niekus (2011). Brouwer's Incomplete Objects. History and Philosophy of Logic 31 (1):31-46.
Mark van Atten (2003). Brouwer, as Never Read by Husserl. Synthese 137 (1-2):3-19.
Added to index2009-01-28
Total downloads52 ( #78,043 of 1,790,292 )
Recent downloads (6 months)5 ( #169,251 of 1,790,292 )
How can I increase my downloads?