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Kriterion: Revista de Filosofia

versión impresa ISSN 0100-512Xversión On-line ISSN 1981-5336

Resumen

IMAGUIRE, Guido. O Platonismo de Russell na metafísica e na matemática. Kriterion [online]. 2005, vol.46, n.111, pp.9-28. ISSN 1981-5336.  https://doi.org/10.1590/S0100-512X2005000100002.

In this paper, I analyze the emergence and the overcoming of Platonism both in Russell's philosophy of mathematics and his metaphysics. I begin by examining the arguments which led Russell to endorse a position that I term "Propositional Platonism" - this position proves to be relevant for Russell's definition of numbers. In the following section, I address the question of the extent to which Russell's theory of descriptions implies the acceptance of nominalism. Moreover, I examine the difficulties which arise for logicism, if it no longer goes hand in hand with platonism. Finally, I argue argue that Russell's mature position is to be characterized as a form of reductionism rather than as a variant of nominalism

Palabras clave : Philosophy of Mathematics; Metaphysics; Russell.

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