Kant and real numbers


Authors
Mark van Atten
Centre National de la Recherche Scientifique
Abstract
Kant held that under the concept of √2 falls a geometrical magnitude, but not a number. In particular, he explicitly distinguished this root from potentially infinite converging sequences of rationals. Like Kant, Brouwer based his foundations of mathematics on the a priori intuition of time, but unlike Kant, Brouwer did identify this root with a potentially infinite sequence. In this paper I discuss the systematical reasons why in Kant's philosophy this identification is impossible
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References found in this work BETA

Kant and the Exact Sciences.Michael Friedman - 1990 - Harvard University Press.
Greek Mathematical Thought and the Origin of Algebra.Jacob Klein, Eva Brann & J. Winfree Smith - 1969 - British Journal for the Philosophy of Science 20 (4):374-375.

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