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(2017) Humanizing mathematics and its philosophy, Basel, Birkhäuser.
The thoughts in this paper follow a suggestion by Reuben Hersh that pluralists think of mathematical theories as models of other parts of mathematics. Through this lens, the totality of "mathematics' is then a game of interpretation of one theory by another. As a discipline, mathematics is sui generis.
Publication details
DOI: 10.1007/978-3-319-61231-7_21
Full citation:
Friend, M. (2017)., Mathematical theories as models, in B. Sriraman (ed.), Humanizing mathematics and its philosophy, Basel, Birkhäuser, pp. 291-307.
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