The pragmatic nature of mathematical inquiry
In 1926 Hermann Weyl’s Philosophy of Mathematics and Natural Science appeared in Oldenbourg’s Handbuch der Philosophie. At the time Hilbert’s formalist program to “eradicate via proof theory all the foundational questions of mathematics” was in full swing. As a pupil of Hilbert, Weyl was looking to the complete and ultimate success of Hilbert’s program, a confidence evident in Weyl’s treatment of the foundations of mathematics in the original version of Philosophy of Mathematics and Natural Science. But in an appendix to that same text appearing twenty years later, Weyl (1949, p. 219) admitted that this confidence was misplaced.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Hilbert's Program Then and Now.Richard Zach - 2007 - In Dale Jacquette (ed.), Philosophy of Logic. Amsterdam: North Holland. pp. 411–447.
Mathematics and Phenomenology: The Correspondence Between O. Becker and H. Weyl.Paolo Mancosu & T. A. Ryckman - 2002 - Philosophia Mathematica 10 (2):130-202.
The Philosophical Background of Weyl's Mathematical Constructivism.Richard Tieszen - 2000 - Philosophia Mathematica 8 (3):274-301.
On the New Foundational Crisis in Mathematics.Herman Weyl - 1921 - In P. Mancosu (ed.), From Brouwer to Hilbert: The Debate on the Foundations of Mathematics in 1920s. Oxford University Press. pp. 86--118.
From Brouwer to Hilbert: The Debate on the Foundations of Mathematics in the 1920s.Paolo Mancosu (ed.) - 1998 - Oxford University Press.
Hermann Weyl on Minkowskian Space-Time and Riemannian Geometry.Yvon Gauthier - 2005 - International Studies in the Philosophy of Science 19 (3):261 – 269.
Added to index2009-01-28
Total downloads28 ( #183,715 of 2,171,705 )
Recent downloads (6 months)1 ( #326,424 of 2,171,705 )
How can I increase my downloads?