Metaphysica

, Volume 14, Issue 1, pp 79–92

The Incompleteness of the World and Its Consequences

Article
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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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