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Professor Eileen Nutting, “Hilbert’s Geometry and Mathematical Truth"

March 31, 2014
All Day
347 University Hall

Eileen Nutting is an Assistant Professor at the University of Kansas.

Abstract: In "Mathematical Truth," Paul Benacerraf uses expectations for general truth theories to motivate certain expectations for theories of mathematical truth.  David Hilbert's account of truth in geometry flagrantly violates these expectations.  Mathematical considerations, rather than truth-theoretical ones, motivated Hilbert's account.  Using an appeal to Hilbert's mathematical motivations, I argue that we ought not to accept Benacerraf's expectations for theories of mathematical truth.