Metaphysica

, Volume 14, Issue 1, pp 79–92 | Cite as

The Incompleteness of the World and Its Consequences

Article

Abstract

In the recent literature we find various arguments against the possibility of absolutely general quantification. Far from being merely a technical question in the philosophy of logic, the impossibility of absolutely general quantification (if established) would have severe consequence for ontology, for it would imply the non-existence of the world as traditionally conceived. This paper will investigate these implications for ontology and consider some possible ways of addressing them.

References

  1. George Boolos: "To be is to be the value of a variable (or some values of some variables)," Journal of Philosophy 81, 1984, 430–450.CrossRefGoogle Scholar
  2. Ross Cameron: "Turtles all the way down: regress, priority, and fundamentality", Philosophical Quarterly, 2008, 58, 1–14.CrossRefGoogle Scholar
  3. Richard Cartwright: "Speaking of everything", Noûs 28, 1994, 1–20.CrossRefGoogle Scholar
  4. Patrick Grim: The incomplete universe: totality, knowledge, and truth, MIT Press, Cambridge, MA, 1991.Google Scholar
  5. Frank Jackson: From metaphysics to ethics, Clarendon, Oxford, 1998.Google Scholar
  6. Uwe Meixner: Einführung in die Ontologie, Wissenschaftliche Buchgesellschaft, Darmstadt, 2004.Google Scholar
  7. Augustín Rayo, Gabriel Uzquiano (eds): Absolute generality, Clarendon Press, Oxford, 2006.Google Scholar
  8. Bede Rundle: Why is there something rather than nothing? Oxford University Press, Oxford, 2004.CrossRefGoogle Scholar
  9. Peter van Inwagen: "Why is there anything at all?", Proceedings of the Aristotelian Society, 7, 1996, 95–110.Google Scholar
  10. Timothy Williamson: "Everything", Philosophical Perspectives 17, 2003, 415–465.CrossRefGoogle Scholar
  11. Palle Yourgrau: Gödel meets Einstein. Time Travel in the Gödel Universe, Open Court, Chicago, 1999.Google Scholar
  12. Parfit David:"Why anything? Why this?" London Review of Books, 22 January 1998, 24–27.Google Scholar
  13. Ernst Zermelo: "Über Grenzzahlen und Mengenbereiche", Fundamenta Mathematicae 16, 1930, 29–47.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2012

Authors and Affiliations

  1. 1.Department of PhilosophyUniversity of DurhamDurhamUK
  2. 2.School of Oriental and African StudiesLondonUK

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