Pleas against Balaguer’s superplatonism

Matías Alejandro Guirado


Mark Balaguer has developed a quirky brand of mathematical plat onism – called ‘full-blooded platonism’ or ‘FBP’ – in order to solve Benacerraf’s problem about the inaccessibility of abstract entities. According to FBP, every mathematical object that can consistently be characterized thereby exists, although contingently so. In this paper I would like to show that ontological plenitude and modal contingency cannot converge into a philosophically respectable theory of mathematical objects. To achieve this, I argue that FBP does not cover some basic factors of epistemic reliability and that it involves a criterion of plenitude both mathematically and metaphysically implausible.

Keywords: Balaguer, Benacerraf, consistency, contingency, superplatonism.


ISSN: 1984-8234 - Best viewed in Mozilla Firefox

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