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Varieties of maverick philosophy of mathematics

Carlo Cellucci

pp. 223-251

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.

Publication details

Published in:

Sriraman Bharath (2017) Humanizing mathematics and its philosophy: essays celebrating the 90th birthday of Reuben Hersh. Basel, Birkhäuser.

Pages: 223-251

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

Full citation:

Cellucci Carlo (2017) „Varieties of maverick philosophy of mathematics“, In: B. Sriraman (ed.), Humanizing mathematics and its philosophy, Basel, Birkhäuser, 223–251.