Kant held that under the concept of v2 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.
CITATION STYLE
Van Atten, M. (2012). Kant and real numbers. In Epistemology versus Ontology: Essays on the Philosophy and Foundations of Mathematics in Honour of per Martin-Lof (pp. 3–23). Springer Netherlands. https://doi.org/10.1007/978-94-007-4435-6_1
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