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Varieties of Maverick Philosophy of Mathematics

In: Humanizing Mathematics and its Philosophy

Author

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  • Carlo Cellucci

    (Sapienza University of Rome, Department of Philosophy)

Abstract

Reuben Hersh is a champion of maverick philosophy of mathematics. He maintains that mathematics is a human activity, intelligible only in a social context; it is the subject where statements are capable in principle of being proved or disproved and where proof or disproof brings unanimous agreement by all qualified experts; mathematicians’ proof is deduction from established mathematics; mathematical objects exist only in the shared consciousness of human beings. In this paper I describe my several points of agreement and few points of disagreement with Hersh’s views.

Suggested Citation

  • Carlo Cellucci, 2017. "Varieties of Maverick Philosophy of Mathematics," Springer Books, in: Bharath Sriraman (ed.), Humanizing Mathematics and its Philosophy, pages 223-251, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-61231-7_19
    DOI: 10.1007/978-3-319-61231-7_19
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