Philosophical Quarterly 61 (242):130-150 (2011)

Authors
Stewart Shapiro
Ohio State University
Abstract
A paper in this journal by Fraser MacBride, ‘Can Ante Rem Structuralism Solve the Access Problem?’, raises important issues concerning the epistemological goals and burdens of contemporary philosophy of mathematics, and perhaps philosophy of science and other disciplines as well. I use a response to MacBride's paper as a framework for developing a broadly holistic framework for these issues, and I attempt to steer a middle course between reductive foundationalism and extreme naturalistic quietism. For this purpose the notion of entitlement is invoked along the way, suitably modified for the present anti-foundationalist setting
Keywords mathematics   epistemological challenge
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DOI 10.1111/j.1467-9213.2010.658.x
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(Probably) Not Companions in Guilt.Sharon Berry - 2018 - Philosophical Studies 175 (9):2285-2308.
Intuiting the Infinite.Robin Jeshion - 2014 - Philosophical Studies 171 (2):327-349.
Do Ante Rem Mathematical Structures Instantiate Themselves?Scott Normand - 2019 - Australasian Journal of Philosophy 97 (1):167-177.

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