Semi-Platonist Aristotelianism: Review of James Franklin, An Aristotelian Realist Philosophy of Mathematics: Mathematics as the Science of Quantity and Structure [Book Review]

Australasian Journal of Philosophy 93 (4):837-837 (2015)
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Abstract

This rich book differs from much contemporary philosophy of mathematics in the author’s witty, down to earth style, and his extensive experience as a working mathematician. It accords with the field in focusing on whether mathematical entities are real. Franklin holds that recent discussion of this has oscillated between various forms of Platonism, and various forms of nominalism. He denies nominalism by holding that universals exist and denies Platonism by holding that they are concrete, not abstract - looking to Aristotle for inspiration.

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Aristotelianism in the Philosophy of Mathematics.James Franklin - 2011 - Studia Neoaristotelica 8 (1):3-15.
Philosophy of Mathematics.Otávio Bueno - 2010 - In Fritz Allhoff (ed.), Philosophies of the Sciences. Malden, MA: Wiley‐Blackwell. pp. 68–91.

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Cathy Legg
Deakin University

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