Fiche du document
2012
- handle: 10670/1.g8xuv7
- isbn: 978-94-007-4434-9
- halshs: halshs-00775352
- doi: 10.1007/978-94-007-4435-6_10
Ce document est lié à :
info:eu-repo/semantics/altIdentifier/doi/10.1007/978-94-007-4435-6_10
http://creativecommons.org/licenses/by/ , info:eu-repo/semantics/OpenAccess
Mots-clés
philosophy of scienceSujets proches
Knowledge--Philosophy Mental philosophy InfinityCiter ce document
Mark van Atten, « Kant and real numbers », HAL-SHS : histoire, philosophie et sociologie des sciences et des techniques, ID : 10.1007/978-94-007-4435-6_10
Métriques
Partage / Export
Résumé
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.