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International Journal for Ontology and Metaphysics

Managing Editor: Koridze, Georg

Ed. by Hüntelmann, Rafael / Meixner, Uwe / Tegtmeier, Erwin

Editorial Board: Addis, Laird / Davies, Brian / Hochberg, Herbert / Johansson, Ingvar / Kanzian, Christian / Klima, Gyula / Koons, Robert C / Künne, Wolfgang / Löffler, Winfried / Mulligan, Kevin / Nef, Frederic / Oaklander, Nathan / Oderberg, David / Orilia, Francesco / Plantinga, Alvin / Potrc, Matjaz / Rapp, Christof / Reicher-Marek, Maria Elisabeth / Schantz, Richard / Scholz, Oliver R. / Seibt, Johanna / Simons, Peter / Smith, Barry / Stoecker, Ralf / Strobach, Niko / Trettin, Käthe / Wachter, Daniel

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A Cardinal Worry for Permissive Metaontology

Simon Hewitt
Published Online: 2015-06-26 | DOI: https://doi.org/10.1515/mp-2015-0009


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; permissivism; set theory; mereology


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About the article

Published Online: 2015-06-26

Published in Print: 2015-09-18

Citation Information: Metaphysica, Volume 16, Issue 2, Pages 159–165, ISSN (Online) 1874-6373, ISSN (Print) 1437-2053, DOI: https://doi.org/10.1515/mp-2015-0009.

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