Advertisement

The One Over Many and Its Variations

  • Guido Imaguire
Chapter
Part of the Synthese Library book series (SYLI, volume 397)

Abstract

The core of the book is presented in this chapter. In it, I offer a solution to the One Over Many problem, which is usually considered the most perspicuous way to formulate the Problem of Universals. I also solve the two variants, the Many Over One and the Similar but Different problems. The last one is particularly interesting because it was exactly formulated in order to show that Old Ostrich Nominalism does not provide an adequate solution to the Problem of Universals. Basically, the solution consists in (i) analysing the ontological commitments of various statements about property distributions (objects sharing the same property, objects having different properties, and different objects that are similar with regard to some and different with regard to other properties), (ii) explaining how to use the notion of grounding to avoid a commitment to properties, and (iii) offering truthmakers and ‘possibilitators’ for such statements.

References

  1. Alston, W.P. 1958. Ontological Commitments. Philosophical Studies 9: 8–17.CrossRefGoogle Scholar
  2. Armstrong, D.M. 1978. Nominalism and Realism, Vol. I: A Theory of Universals. Cambridge: Cambridge University Press.Google Scholar
  3. ———. 1980. Against ‘Ostrich’ Nominalism: A Reply to Michael Devitt. Pacific Philosophical Quarterly 61: 440–449.CrossRefGoogle Scholar
  4. Aune, B. 1985. Metaphysics: The Elements, Minneapolis. London: University of Minnesota Press.Google Scholar
  5. Balaguer, M. 2014. Platonism in Metaphysics. The Stanford Encyclopedia of Philosophy, ed. E. Zalta. http://plato.stanford.edu/archives/spr2014/entries/platonism/.
  6. Campbell, K. 1990. Abstract Particulars. Oxford: Basil Blackwell.Google Scholar
  7. Correia, F., and B. Schneider. 2012. Grounding: an opinionated introduction. In Metaphysical Grounding: Understanding the Structure of Reality, ed. F. Correia and B. Schneider. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
  8. Donagan, A. 1963. Universals and Metaphysical Realism. Monist 47 (2). Reprinted in Universals and Particulars: Readings in Ontology, ed. Loux, M. 1970, 128–158.Google Scholar
  9. Fine, K. 2012. The Pure Logic of Ground. Review of Symbolic Logic 5 (I): 1–25.CrossRefGoogle Scholar
  10. Frege, G. 1884. Die Grundlagen der Arithmetik, 1988. Hamburg: Felix Meiner Verlag.Google Scholar
  11. Heil, J. 2003. From an Ontological Point of View. Oxford: Oxford University Press.CrossRefGoogle Scholar
  12. Lewis, D. 2003. Things qua Truthmakers. In Real Metaphysics: Essays in Honour of D. H. Mellor, ed. H. Lillehammer and G. Rodriguez-Pereyra, 25–33. London: Routledge.Google Scholar
  13. MacBride, F. 2002. The Problem of Universals and the Limits of Truthmaking. Philosophical Papers 31 (1): 27–37.CrossRefGoogle Scholar
  14. Melia, J. 1995. On What There’s Not. Analysis 55 (4): 223–229.CrossRefGoogle Scholar
  15. ———. 2005. Truthmaking Without Truthmakers. In Truthmakers: The Contemporary Debate, ed. H. Beebee and J. Dood, 67–84. Oxford: Clarendon Press.CrossRefGoogle Scholar
  16. ———. 2015. Nominalism, Naturalism and Natural Properties. In Nominalism about Properties: New Essays, ed. G. Guigon and G. Rodriguez-Pereyra, 175–188. London: Routledge.Google Scholar
  17. Mellor, D.H., and A. Oliver. 1997. Properties. Oxford: Oxford University Press.Google Scholar
  18. Oliver, A. 1996. The Metaphysics of Properties. Mind 105: 1–80.CrossRefGoogle Scholar
  19. Peacock, H. 2009. What’s Wrong with Ostrich Nominalism? Philosophical Papers 38 (2): 183–217.CrossRefGoogle Scholar
  20. Quine, W. V. O. 1948. On What There Is. In Review of Metaphysics, 2. Reprinted in W. V. O. Quine, From a Logical Point of View, 1–19. Cambridge: Harvard University Press.Google Scholar
  21. Rodriguez-Pereyra, G. 2000. What is the Problem of Universals. Mind 109: 255–273.CrossRefGoogle Scholar
  22. ———. 2002. Resemblance Nominalism. A Solution to the Problem of Universals. Oxford: Clarendon Press.Google Scholar
  23. Sellars, W. 1960. Grammar and Existence: A Preface to ontology. Mind 69 (276): 499–533.CrossRefGoogle Scholar
  24. Vallicella, W.F. 2000. Three Conceptions of States of Affairs. Nous 34 (2): 237–259.CrossRefGoogle Scholar
  25. Van Cleve, J. 1994. Predication Without Universals? A Fling with Ostrich Nominalism. Philosophy and Phenomenological Research 54 (3): 577–590.CrossRefGoogle Scholar
  26. Williams, J.R.G. 2012. Requirements on Reality. In Metaphysical Grounding: Understanding the Structure of Reality, ed. F. Correia and B. Schneider, 165–185. Cambridge: Cambridge University Press.CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Guido Imaguire
    • 1
  1. 1.Universidade Federal do Rio de JaneiroRio de JaneiroBrazil

Personalised recommendations