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Philosophia Mathematica 2000 8(3):274-301; doi:10.1093/philmat/8.3.274
© 2000 by Oxford University Press
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© Oxford University Press

The philosophical Background of Weyl's Mathematical Constructivism{dagger}

RICHARD TIESZEN*

*Department of Philosophy, San Jose State University, San Jose, California 95192-0096 U. S. A. llTieszen{at}aol.com

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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