Philosophia Mathematica 28 (1):35-59 (2020)

Authors
Majid D. Beni
Middle East Technical University
Abstract
ABSTRACT Benacerraf has presented two problems for the philosophy of mathematics. These are the problem of identification and the problem of representation. This paper aims to reconstruct the latter problem and to unpack its undermining bearing on the version of Ontic Structural Realism that frames scientific representations in terms of abstract structures. I argue that the dichotomy between mathematical structures and physical ones cannot be used to address the Benacerraf problem but strengthens it. I conclude by arguing that versions of OSR that do not rely on mathematical frameworks for representational purposes need not be vulnerable to Benacerraf’s second problem.
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DOI 10.1093/philmat/nkz022
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References found in this work BETA

Realism, Mathematics and Modality.Hartry Field - 1988 - Philosophical Topics 16 (1):57-107.
Mathematical Truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
What Numbers Could Not Be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.

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Citations of this work BETA

Inflating the social aspects of cognitive structural realism.Majid D. Beni - 2021 - European Journal for Philosophy of Science 11 (3):1-18.

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