David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Philosophia Mathematica 10 (2):203-226 (2002)
Brouwer and Weyl recognized that the intuitive continuum requires a mathematical analysis of a kind that set theory is not able to provide. As an alternative, Brouwer introduced choice sequences. We first describe the features of the intuitive continuum that prompted this development, focusing in particular on the flow of internal time as described in Husserl's phenomenology. Then we look at choice sequences and their logic. Finally, we investigate the differences between Brouwer and Weyl, and argue that Weyl's conception of choice sequences is defective on several counts.
|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
Norman Sieroka (2007). Weyl's 'Agens Theory' of Matter and the Zurich Fichte. Studies in History and Philosophy of Science Part A 38 (1):84-107.
Stathis Livadas (2013). Are Mathematical Theories Reducible to Non-Analytic Foundations? Axiomathes 23 (1):109-135.
Similar books and articles
Joop Niekus (2011). Brouwer's Incomplete Objects. History and Philosophy of Logic 31 (1):31-46.
Richard Feist (2002). Weyl's Appropriation of Husserl's and Poincaré's Thought. Synthese 132 (3):273 - 301.
Paolo Mancosu & T. A. Ryckman (2002). Mathematics and Phenomenology: The Correspondence Between O. Becker and H. Weyl. Philosophia Mathematica 10 (2):130-202.
Miriam Franchella (2008). Mark Van Atten. Brouwer Meets Husserl: On the Phenomenology of Choice Sequences. Philosophia Mathematica 16 (2):276-281.
Paolo Mancosu (ed.) (1998). From Brouwer to Hilbert: The Debate on the Foundations of Mathematics in the 1920s. Oxford University Press.
Mark Van Atten (2003). Brouwer, as Never Read by Husserl. Synthese 137 (1/2):3-19.
Mark van Atten (2003). Brouwer, as Never Read by Husserl. Synthese 137 (1-2):3-19.
Richard Tieszen (2000). The Philosophical Background of Weyl's Mathematical Constructivism. Philosophia Mathematica 8 (3):274-301.
Added to index2009-01-28
Total downloads49 ( #82,125 of 1,789,829 )
Recent downloads (6 months)3 ( #262,646 of 1,789,829 )
How can I increase my downloads?