Reichenbach and Weyl on apriority and mathematical applicability

Synthese 181 (1):63-77 (2011)
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.
Keywords Relative a priori  Convention  Reichenbach  Weyl  Friedman
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References found in this work BETA
Naming and Necessity.Saul Kripke - 2010 - In Darragh Byrne & Max Kölbel (eds.), Philosophy. Routledge. pp. 431-433.
Prolegomena to Any Future Metaphysics.Immanuel Kant - 2007 - In Elizabeth Schmidt Radcliffe, Richard McCarty, Fritz Allhoff & Anand Vaidya (eds.), Journal of Philosophy. New York: Blackwell. pp. 507-508.
Structure: Its Shadow and Substance.C. van Fraassen Bas - 2006 - British Journal for the Philosophy of Science 57 (2):275-307.

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