Hewitt, S orcid.org/0000-0003-2720-4428 (2018) A note on Gabriel Uzquiano's 'Varieties of Indefinite Extensibility'. Notre Dame Journal of Formal Logic, 59 (3). pp. 455-459. ISSN 0029-4527
Abstract
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 by University of Notre Dame. This is an author produced version of a paper published in Notre Dame Journal of Formal Logic. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | philosophy of mathematics, philosophy of set theory, structuralism, plural logic, indefinite extensibility, Uzquiano |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Arts, Humanities and Cultures (Leeds) > School of Philosophy, Religion and History of Science (Leeds) > School of Philosophy (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 18 Apr 2016 11:14 |
Last Modified: | 27 Jul 2018 15:21 |
Status: | Published |
Publisher: | University of Notre Dame |
Identification Number: | 10.1215/00294527-2018-0005 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:98685 |