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Just what is Full-Blooded Platonism?

“Just What is Full-Blooded Platonism?” Philosophia Mathematica 11 (2003) 82–91.

Mark Balaguer has, in Platonism and Anti-Platonism in Mathematics, given us an intriguing new brand of platonism, which he calls, plenitudinous platonism, or more colourfully, full-blooded platonism. In this paper, I argue that none of Balaguer’s attempts to characterise full-blooded platonism succeed. They are either too strong, with untoward consequences we all reject, or too weak, not providing a distinctive brand of platonism strong enough to do the work Balaguer requires of it.

EXCERPT: “Just What is Full-Blooded Platonism?”

Details

Author: Greg Restall
Status: Published in 2003

Local file: whatisfbp.pdf (282KB)

Subjects: fictionalism mathematics meaning metaphysics quantifiers

About

I’m Greg Restall, and this is my website. I work in Philosophy at the University of Melbourne. Email: greg at consequently.org; Post: School of of Philosophy, Anthropology and Social Inquiry, University of Melbourne, Parkville 3010, Australia.

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Thought

Since we are in the main not sceptics, we might go on and frankly confess to each other the motives for our several faiths. I frankly confess mine – I cannot but think that at bottom they are of an aesthetic and not of a logical sort. — William James Essays in Radical Empiricism.