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Ontological realism and sentential form

Synthese 195 (11):5021-5036 (2018)

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  1. Benacerraf, Field, and the agreement of mathematicians.Eileen S. Nutting - 2020 - Synthese 197 (5):2095-2110.
    Hartry Field’s epistemological challenge to the mathematical platonist is often cast as an improvement on Paul Benacerraf’s original epistemological challenge. I disagree. While Field’s challenge is more difficult for the platonist to address than Benacerraf’s, I argue that this is because Field’s version is a special case of what I call the ‘sociological challenge’. The sociological challenge applies equally to platonists and fictionalists, and addressing it requires a serious examination of mathematical practice. I argue that the non-sociological part of Field’s (...)
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