Nominalism is the view that mathematical objects do not exist. This chapter delimits several types of nominalistic projects: revolutionary programs that attempt to change mathematics and hermeneutic programs that attempt to interpret mathematics. Some programs accord with naturalism, and some oppose naturalism. Steven Yablo's fictionalism is brought into the fold and discussed at some length.
All Science Journal Classification (ASJC) codes
- General Arts and Humanities
- Hermeneutic nominalism
- Revolutionary nominalism