Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11010150 | Annals of Pure and Applied Logic | 2018 | 20 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Logic
Authors
Richard Pettigrew,