Notre Dame Journal of Formal Logic
- Notre Dame J. Formal Logic
- Volume 59, Number 3 (2018), 455-459.
A Note on Gabriel Uzquiano’s “Varieties of Indefinite Extensibility”
Gabriel Uzquiano has offered an account of indefinite extensibility for sets in the context of a modal logic. The modal operators are interpreted in terms of linguistic extensibility. After reviewing the proposal, I argue that the view should be understood as a version of in rebus structuralism about set theory. As such it is subject to the usual problems for in rebus structuralism. In particular, there is no good extra set-theoretic reason to assent to an ontology of sufficient cardinality to make true the theorems of ZFC.
Notre Dame J. Formal Logic, Volume 59, Number 3 (2018), 455-459.
Received: 4 August 2015
Accepted: 17 April 2016
First available in Project Euclid: 20 June 2018
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Hewitt, Simon. A Note on Gabriel Uzquiano’s “Varieties of Indefinite Extensibility”. Notre Dame J. Formal Logic 59 (2018), no. 3, 455--459. doi:10.1215/00294527-2018-0005. https://projecteuclid.org/euclid.ndjfl/1529481616