Priority, Platonism, and the Metaontology of Abstraction

Dissertation, University of Turin (2016)
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Abstract

In this dissertation I examine the NeoFregean metaontology of mathematics. I try to clarify the relationship between what is sometimes called Priority Thesis and Platonism about mathematical entities. I then present three coherent ways in which one might endorse both these stances, also answering some possible objections. Finally I try to show which of these three ways is the most promising.

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Michele Lubrano
Università Degli Studi Di Torino

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References found in this work

Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Material beings.Peter Van Inwagen - 1990 - Ithaca: Cornell University Press.
Outline of a theory of truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.

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