Authors
Justin Clarke-Doane
Columbia University
Abstract
In "Mathematical Truth", Paul Benacerraf articulated an epistemological problem for mathematical realism. His formulation of the problem relied on a causal theory of knowledge which is now widely rejected. But it is generally agreed that Benacerraf was onto a genuine problem for mathematical realism nevertheless. Hartry Field describes it as the problem of explaining the reliability of our mathematical beliefs, realistically construed. In this paper, I argue that the Benacerraf Problem cannot be made out. There simply is no intelligible problem that satisfies all of the constraints which have been placed on the Benacerraf Problem. The point generalizes to all arguments with the structure of the Benacerraf Problem aimed at realism about a domain meeting certain conditions. Such arguments include so-called "Evolutionary Debunking Arguments" aimed at moral realism. I conclude with some suggestions about the relationship between the Benacerraf Problem and the Gettier Problem.
Keywords Benacerraf  Gettier  Hartry Field  Safety  Sensitivity
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Reprint years 2016, 2017
DOI 10.1007/978-3-319-45980-6_2
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References found in this work BETA

Philosophical Explanations.Robert Nozick - 1981 - Harvard University Press.
Knowledge and its Limits.Timothy Williamson - 2000 - Oxford University Press.
Ethical Intuitionism.Michael Huemer - 2005 - Palgrave Macmillan.

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Citations of this work BETA

Modal Security.Justin Clarke‐Doane & Dan Baras - forthcoming - Philosophy and Phenomenological Research.
Is There a Reliability Challenge for Logic?Joshua Schechter - 2018 - Philosophical Issues 28 (1):325-347.

View all 34 citations / Add more citations

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