Beyond Platonism and nominalism?

Vassilis Livanios

pp. 63-69

in: Axiomathes 26 (1), 2016.

Abstract

In his latest book An Aristotelian Realist Philosophy of Mathematics, James Franklin defends a view according to which mathematics concerns natural properties and relations of the actual world. He calls the suggested view Aristotelian Realist (AR). It is surely Aristotelian in the sense that it takes its inspiration from Aristotle himself. But it is not clear that the theory is ‘Aristotelian' in the metaphysics-of-properties sense since it allows uninstantiated universals (that nevertheless could be instantiated) which are anathema for any ‘Aristotelian’ immanent realism about universals.

Cited authors

Aristoteles

Plato