Philosophia Mathematica 10 (2):203-226 (2002)

Authors
Mark van Atten
Centre National de la Recherche Scientifique
Abstract
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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DOI 10.1093/philmat/10.2.203
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References found in this work BETA

Is Time a Continuum of Instants.Michael Dummett - 2000 - Philosophy 75 (4):497-515.
Über Die Neue Grundlagenkrise der Mathematik.Hermann Weyl - 1957 - Journal of Symbolic Logic 22 (1):81-82.

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Citations of this work BETA

Mathematical and Moral Disagreement.Silvia Jonas - 2020 - Philosophical Quarterly 70 (279):302-327.
Weyl’s ‘Agens Theory’ of Matter and the Zurich Fichte.Norman Sieroka - 2007 - Studies in History and Philosophy of Science Part A 38 (1):84-107.

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