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(2012) New essays on Leibniz reception, Dordrecht, Springer.

The idea of number from Gauss to Cantor

the Leibnizian heritage and its surpassing

Philippe Séguin

pp. 1-11

In a letter to David Hilbert, datelined January 27, 1900, Georg Cantor takes a position against Dedekind's opinion that numbers are "free creations of the human mind" ("free" underlined by Cantor), and the editors comment as follows: In der Überzeugung, daß Zahlen auch transiente Realitat besitzen [. . . ], besteht denn auch die wesentliche Differenz zu Dedekind, dem die Zahlen "freie Schopfungen des menschlichen Geistes" sind.

Publication details

DOI: 10.1007/978-3-0346-0504-5_1

Full citation:

Séguin, P. (2012)., The idea of number from Gauss to Cantor: the Leibnizian heritage and its surpassing, in Y. Chin Drian & R. Krömer (eds.), New essays on Leibniz reception, Dordrecht, Springer, pp. 1-11.

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