Varieties of Maverick Philosophy of Mathematics

Carlo Cellucci ()
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Carlo Cellucci: Sapienza University of Rome, Department of Philosophy

A chapter in Humanizing Mathematics and its Philosophy, 2017, pp 223-251 from Springer

Abstract: 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.

Date: 2017
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DOI: 10.1007/978-3-319-61231-7_19

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