Skip to content
Licensed Unlicensed Requires Authentication Published by De Gruyter June 26, 2015

A Cardinal Worry for Permissive Metaontology

  • Simon Hewitt EMAIL logo
From the journal Metaphysica

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.

References

Boolos, G.1998. “To Be Is to Be a Value of a Variable (or to Be Some Values of Some Variables).” In Logic, Logic and Logic, 5472. Cambridge, MA: Harvard University Press.Search in Google Scholar

Hofweber, T.2009. “Ambitious, yet Modest Metaphysics.” In Metametaphysics: New Essays on the Foundations of Ontology, edited by C.David, M.David, and W.Ryan, 26089. Oxford: Oxford University Press.Search in Google Scholar

Linnebo, Ø. 2010. “Pluralities and Sets.” Journal of Philosophy107 (3):14767.10.5840/jphil2010107311Search in Google Scholar

Linnebo, Ø. 2012. “Plural Quantification.” Stanford Encyclopedia of Philosophy. http://plato.stanford.edu/entries/plural-quant/. Accessed May 21 2015.Search in Google Scholar

Quine, W. V. O.1949. “On What There Is.” Review of Metaphysics2:2148.Search in Google Scholar

Schaffer, J.2009. “On What Grounds What.” In Metametaphysics: New Essays on the Foundations of Ontology, edited by C.David, M.David, and W.Ryan, 34783. Oxford: Oxford University Press.Search in Google Scholar

Shapiro, S.1991. Foundations Without Foundationalism. Oxford: Oxford University Press. Oxford Logic Guides, Number 17.Search in Google Scholar

Sider, T.1993. “Van Inwagen and the Possibility of Gunk.” Analysis53:2859.10.1093/analys/53.4.285Search in Google Scholar

Uzquiano, G.2006. “The Price of Universality.” Philosophical Studies129:13769.10.1007/s11098-005-3018-6Search in Google Scholar

Uzquiano, G.2006. “Unrestricted Unrestricted Quantification: The Cardinal Problem of Absolute Generality.” In Absolute Generality, edited by A.Rayo and G.Uzquiano, 30532. Oxford: Oxford University Press.Search in Google Scholar

van Inwagen, P.1990. Material Beings. Ithaca, NY: Cornell University Press.Search in Google Scholar

Williamson, T.2013. Modal Logic as Metaphysics. Oxford: Oxford University Press.10.1093/acprof:oso/9780199552078.001.0001Search in Google Scholar

Published Online: 2015-6-26
Published in Print: 2015-9-18

©2015 by De Gruyter

Downloaded on 19.4.2024 from https://www.degruyter.com/document/doi/10.1515/mp-2015-0009/html
Scroll to top button