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Publication - Professor Richard Pettigrew

    What we talk about when we talk about numbers

    Citation

    Pettigrew, R, 2018, ‘What we talk about when we talk about numbers’. Annals of Pure and Applied Logic, vol 169., pp. 1437-1456

    Abstract

    In this paper, I describe and motivate a new species of mathematical structuralism, which I call Instrumental Nominalism about Set-Theoretic Structuralism. As the name suggests, this approach takes standard Set-Theoretic Structuralism of the sort championed by Bourbaki, and removes its ontological commitments by taking an instrumental nominalist approach to that ontology of the sort described by Joseph Melia and Gideon Rosen. I argue that this avoids all of the problems that plague other versions of structuralism.

    Full details in the University publications repository