Reichenbach and Weyl on apriority and mathematical applicability

Synthese 181 (1):63-77 (2011)
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
Saul Kripke (2010). Naming and Necessity. In Darragh Byrne & Max Kölbel (eds.), Philosophy. Routledge 431-433.
Immanuel Kant (2007). Prolegomena to Any Future Metaphysics. In Elizabeth Schmidt Radcliffe, Richard McCarty, Fritz Allhoff & Anand Vaidya (eds.), Journal of Philosophy. Blackwell Pub. Ltd. 507-508.

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