Central and East European
Society for Phenomenology

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206420

Hilbert, Weyl, and the philosophy of mathematics

Hans Niels Jahnke

pp. 215-228

Abstract

Starting from a critical discussion of P. Forman's thesis about the influence of pessimistic and romantic attitudes on the development of mathematics and physics during the Weimar republic the paper investigates the relation between D. Hibert's and H. Weyl's positions in the foundations crisis of mathematics. H. Weyl's statement that the theoretical concepts of mathematics "are interwoven with the history of thinking and shall never be laid down as a dead final result" is seen as an attractive frame for a future philosophy of mathematics.

Publication details

Published in:

Hoffmann Michael H. G. , Lenhard Johannes, Seeger Falk (2005) Activity and sign: grounding mathematics education. Dordrecht, Springer.

Pages: 215-228

DOI: 10.1007/0-387-24270-8_19

Full citation:

Jahnke Hans Niels (2005) „Hilbert, Weyl, and the philosophy of mathematics“, In: M. H. Hoffmann, J. Lenhard & F. Seeger (eds.), Activity and sign, Dordrecht, Springer, 215–228.