Pleas against Balaguer’s superplatonism
Vol 17, No 1 (2016) • Filosofia Unisinos - Unisinos Journal of Philosophy
Autor: Matías Alejandro Guirado
Resumo:
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.
ISSN: ISSN: 1984-8234
Texto Completo: http://revistas.unisinos.br/index.php/filosofia/article/view/fsu.2016.171.05
Palavras-Chave: Balaguer,Benacerraf,consistency,contingency,s
Filosofia Unisinos - Unisinos Journal of Philosophy
The journal Filosofia Unisinos - Unisinos Journal of Philosophy is published once every four months by Universidade do Vale do Rio dos Sinos.
Articles must be original, unpublished, and not under consideration for publication anywhere else and can be written in Portuguese, English or Spanish
Filosofia Unisinos - Unisinos Journal of Philosophy prints articles, translations and critical book reviews. It also reprints papers that are considered fundamental to the area when authorized written permission is given by the original publisher.