David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
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Synthese 190 (9):1587-1603 (2013)
Paul Benacerraf’s argument that mathematical realism is apparently incompatible with mathematical knowledge has been widely thought to also show that a priori knowledge in general is problematic. Although many philosophers have rejected Benacerraf’s argument because it assumes a causal theory of knowledge, some maintain that Benacerraf nevertheless put his finger on a genuine problem, even though he didn’t state the problem in its most challenging form. After diagnosing what went wrong with Benacerraf’s argument, I argue that a new, more challenging, version of Benacerraf’s problem can be constructed. The new version—what I call the Defeater Version—of Benacerraf’s problem makes use of a no-defeater condition on knowledge and justification. I conclude by arguing that the best way to avoid the problem is to construct a theory of how a priori judgments reliably track the facts. I also suggest four different kinds of theories worth pursuing
|Keywords||A priori Rationalism Benacerraf Empiricism Defeaters Abstract objects|
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References found in this work BETA
Laurence BonJour (1998). In Defense of Pure Reason. Cambridge University Press.
Hartry Field (1989). Realism, Mathematics & Modality. Basil Blackwell.
Christopher Peacocke (2003). The Realm of Reason. Oxford University Press.
Paul Benacerraf (1973). Mathematical Truth. Journal of Philosophy 70 (19):661-679.
Richard Feldman & Earl Conee (1985). Evidentialism. Philosophical Studies 48 (1):15 - 34.
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