A Cardinal Worry for Permissive Metaontology

Metaphysica 16 (2):159-166 (2015)
Authors
Simon Hewitt
University of Leeds
Abstract
Permissivist metaontology proposes answering customary existence questions in the affirmative. Many of the existence questions addressed by ontologists concern the existence of theoretical entities which admit precise formal specification. This causes trouble for the permissivist, since individually consistent formal theories can make pairwise inconsistent demands on the cardinality of the universe. We deploy a result of Gabriel Uzquiano’s to show that this possibility is realised in the case of two prominent existence debates and propose rejecting permissivism in favour of substantive ontology conducted on a cost–benefit basis.
Keywords metaontology  cardinality  permissivism  set theory  mereology
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DOI 10.1515/mp-2015-0009
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References found in this work BETA

Van Inwagen and the Possibility of Gunk.Theodore Sider - 1993 - Analysis 53 (4):285 - 289.
The Price of Universality.Gabriel Uzquiano - 2006 - Philosophical Studies 129 (1):137-169.

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