Varieties of Indefinite Extensibility

Notre Dame Journal of Formal Logic 56 (1):147-166 (2015)
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Abstract

We look at recent accounts of the indefinite extensibility of the concept set and compare them with a certain linguistic model of indefinite extensibility. We suggest that the linguistic model has much to recommend over alternative accounts of indefinite extensibility, and we defend it against three prima facie objections

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10.1215/00294527-2835056

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Author's Profile

Gabriel Uzquiano
University of Southern California

Citations of this work

Ontology and Arbitrariness.David Builes - 2022 - Australasian Journal of Philosophy 100 (3):485-495.
Modal Idealism.David Builes - forthcoming - Oxford Studies in Philosophy of Mind.
Quantifier Variance and Indefinite Extensibility.Jared Warren - 2017 - Philosophical Review 126 (1):81-122.
The Paradox of Sufficient Reason.Samuel Levey - 2016 - Philosophical Review Recent Issues 125 (3):397-430.
A Purely Recombinatorial Puzzle.Fritz Peter - 2017 - Noûs 51 (3):547-564.

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References found in this work

The potential hierarchy of sets.Øystein Linnebo - 2013 - Review of Symbolic Logic 6 (2):205-228.
Pluralities and Sets.Øystein Linnebo - 2010 - Journal of Philosophy 107 (3):144-164.
How we learn mathematical language.Vann McGee - 1997 - Philosophical Review 106 (1):35-68.
The Iterative Conception of Set: a (Bi-)Modal Axiomatisation.J. P. Studd - 2013 - Journal of Philosophical Logic 42 (5):1-29.
E pluribus unum: Plural logic and set theory.John P. Burgess - 2004 - Philosophia Mathematica 12 (3):193-221.

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