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(2012) Epistemology versus ontology, Dordrecht, Springer.
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.
Publication details
DOI: 10.1007/978-94-007-4435-6_1
Full citation:
Van Atten, M. (2012)., Kant and real numbers, in P. Dybjer, S. Lindström, E. Palmgren & G. Sundholm (eds.), Epistemology versus ontology, Dordrecht, Springer, pp. 3-23.
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