David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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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.
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Stathis Livadas (2013). Are Mathematical Theories Reducible to Non-Analytic Foundations? Axiomathes 23 (1):109-135.
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.
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