Barton, Neil (2015) Richness and reflection. Philosophia Mathematica 24 (3), pp. 330-359. ISSN 0031-8019.
Abstract
A pervasive thought in contemporary philosophy of mathematics is that in order to justify reflection principles, one must hold universism: the view that there is a single universe of pure sets. I challenge this kind of reasoning by contrasting universism with a Zermelian form of multiversism. I argue that if extant justifications of reflection principles using notions of richness are acceptable for the universist, then the Zermelian can use similar justifications. However, I note that for some forms of richness argument, the status of reflection principles as axioms is left open for the Zermelian.
Metadata
| Item Type: | Article |
|---|---|
| School: | Birkbeck Faculties and Schools > Faculty of Humanities and Social Sciences > School of Historical Studies |
| Depositing User: | Administrator |
| Date Deposited: | 13 Jun 2017 15:35 |
| Last Modified: | 02 Aug 2023 17:30 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/17727 |
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