The philosophical background of Weyl's mathematical constructivism

Philosophia Mathematica 8 (3):274-301 (2000)
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Abstract

Weyl's inclination toward constructivism in the foundations of mathematics runs through his entire career, starting with Das Kontinuum. Why was Weyl inclined toward constructivism? I argue that Weyl's general views on foundations were shaped by a type of transcendental idealism in which it is held that mathematical knowledge must be founded on intuition. Kant and Fichte had an impact on Weyl but HusserFs transcendental idealism was even more influential. I discuss Weyl's views on vicious circularity, existence claims, meaning, the continuum and choice sequences, and the intuitive-symbolic distinction against the background of his transcendental idealism and general intuitionism.

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References found in this work

Kritik der reinen Vernunft.Immanuel Kant - 2020 - Walter de Gruyter GmbH & Co KG.
Space-Time-Matter.Hermann Weyl - 1922 - London,: E.P. Dutton and Company. Edited by Henry L. Brose.
Russell's Mathematical Logic.Kurt Gödel - 1946 - In Paul Arthur Schilpp (ed.), The Philosophy of Bertrand Russell, 2nd edition. Evanston, IL: The Library of Living Philosophers, Inc.. pp. 123-154.
Philosophy of mathematics.Paul Benacerraf (ed.) - 1964 - Englewood Cliffs, N.J.,: Prentice-Hall.

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