Reichenbach and Weyl on apriority and mathematical applicability

Synthese 181 (1):63-77 (2011)
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Abstract

I examine Reichenbach’s theory of relative a priori and Michael Friedman’s interpretation of it. I argue that Reichenbach’s view remains at bottom conventionalist and that one issue which separates Reichenbach’s account from Kant’s apriorism is the problem of mathematical applicability. I then discuss Hermann Weyl’s theory of blank forms which in many ways runs parallel to the theory of relative a priori. I argue that it is capable of dealing with the problem of applicability, but with a cost.

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Y. Sandy Berkovski
Bilkent University

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Naming and Necessity: Lectures Given to the Princeton University Philosophy Colloquium.Saul A. Kripke - 1980 - Cambridge, MA: Harvard University Press. Edited by Darragh Byrne & Max Kölbel.
Naming and Necessity.S. Kripke - 1972 - Tijdschrift Voor Filosofie 45 (4):665-666.
Naming and Necessity.Saul Kripke - 2003 - In John Heil (ed.), Philosophy of Mind: A Guide and Anthology. Oxford University Press.
Identity and necessity.Saul A. Kripke - 1971 - In Milton Karl Munitz (ed.), Identity and individuation. New York,: New York University Press. pp. 135-164.
Philosophy of Mathematics and Natural Science.Hermann Weyl - 1949 - Princeton, N.J.: Princeton University Press. Edited by Olaf Helmer-Hirschberg & Frank Wilczek.

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