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Reichenbach and Weyl on apriority and mathematical applicability

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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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Correspondence to Sandy Berkovski.

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Berkovski, S. Reichenbach and Weyl on apriority and mathematical applicability. Synthese 181, 63–77 (2011). https://doi.org/10.1007/s11229-009-9591-z

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