David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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International Studies in the Philosophy of Science 14 (1):25 – 42 (2000)
Penelope Maddy has defended a modified version of mathematical platonism that involves the perception of some sets. Frederick Suppe has developed a conclusive reasons account of empirical knowledge that, when applied to the sets of interest to Maddy, yields that we have knowledge of these sets. Thus, Benacerraf's challenge to the platonist to account for mathematical knowledge has been met, at least in part. Moreover, it is argued that the modalities involved in Suppe's conclusive reasons account of knowledge can be handled without recourse to either laws of nature or possible worlds, and that this approach is preferable.
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References found in this work BETA
Hartry Field (1989). Realism, Mathematics & Modality. Basil Blackwell.
Penelope Maddy (1997). Naturalism in Mathematics. Oxford University Press.
Penelope Maddy (1990). Realism in Mathematics. Oxford University Prress.
Paul Benacerraf (1973). Mathematical Truth. Journal of Philosophy 70 (19):661-679.
Philip Kitcher (1983). The Nature of Mathematical Knowledge. Oxford University Press.
Citations of this work BETA
J. Nescolarde-Selva & J. L. Usó-Doménech (2014). Reality, Systems and Impure Systems. Foundations of Science 19 (3):289-306.
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