1. Richness and Reflection.
- Author
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Barton, Neil
- Subjects
- *
AXIOMS , *SET theory , *FOUNDATIONS of geometry , *PHILOSOPHY of mathematics , *FOUNDATIONS of projective geometry - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2016
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