Abstract
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.
Original language | English (US) |
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Title of host publication | The Oxford Handbook of Philosophy of Mathematics and Logic |
Publisher | Oxford University Press |
ISBN (Print) | 9780195148770 |
DOIs | |
State | Published - Jul 1 2005 |
All Science Journal Classification (ASJC) codes
- General Arts and Humanities
Keywords
- Fictionalism
- Hermeneutic nominalism
- Mathematics
- Nominalism
- Revolutionary nominalism
- Yablo