Richness and reflection

Barton, Neil (2015) Richness and reflection. Philosophia Mathematica 24 (3), pp. 330-359. ISSN 0031-8019.

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Official URL: http://doi.org/10.1093/philmat/nkv036

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 Schools and Departments > School of Social Sciences, History and Philosophy > Philosophy
Depositing User:	Administrator
Date Deposited:	13 Jun 2017 15:35
Last Modified:	13 Jun 2017 15:35
URI:	http://eprints.bbk.ac.uk/id/eprint/17727

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