Hilbert's epistemology

Philosophy of Science 43 (1):99-115 (1976)

Authors
Philip Kitcher
Columbia University
Abstract
Hilbert's program attempts to show that our mathematical knowledge can be certain because we are able to know for certain the truths of elementary arithmetic. I argue that, in the absence of a theory of mathematical truth, Hilbert does not have a complete theory of our arithmetical knowledge. Further, while his deployment of a Kantian notion of intuition seems to promise an answer to scepticism, there is no way to complete Hilbert's epistemology which would answer to his avowed aims
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DOI 10.1086/288671
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Partial Realizations of Hilbert's Program.Stephen G. Simpson - 1988 - Journal of Symbolic Logic 53 (2):349-363.
On the Concept of Finitism.Luca Incurvati - 2015 - Synthese 192 (8):2413-2436.
Hilbert's Program Then and Now.Richard Zach - 2007 - In Dale Jacquette (ed.), Philosophy of Logic. Amsterdam: North Holland. pp. 411–447.

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