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In defense of the possibilism–actualism distinction

  • Christopher MenzelEmail author
Article

Abstract

In Modal Logic as Metaphysics, Timothy Williamson claims that the possibilism–actualism (P–A) distinction is badly muddled. In its place, he introduces a necessitism–contingentism (N–C) distinction that he claims is free of the confusions that purportedly plague the P–A distinction. In this paper I argue first that the P–A distinction, properly understood, is entirely coherent and historically well-grounded. I then look at the two arguments Williamson levels at the P–A distinction and find them wanting and show, moreover, that, when the N–C distinction is broadened (as per Williamson himself) so as to enable necessitists to fend off contingentist objections, the P–A distinction can be faithfully reconstructed in terms of the N–C distinction. However, Williamson’s critique does point to a genuine shortcoming in the common formulation of the P–A distinction. I propose a new definition of the distinction in terms of essential properties that avoids this shortcoming.

Keywords

Actualism Possibilism Necessitism Contingentism Modality Modal logic 

Notes

Acknowledgements

My thanks to Ross Cameron, Matt Davidson, Kris McDaniel, and Ed Zalta for helpful comments on earlier versions of this paper, and to audiences at the Munich Center for Mathematical Philosophy, the University of Utah, the Society for Exact Philosophy (2016 meetings), the University of Notre Dame, Georgetown University, the University of Vienna, the Kurt Gödel Research Center for Mathematical Logic, and the universities of Oslo and Bergen for fruitful, challenging, and stimulating discussions in response to talks I gave based on the issues discussed herein. I am particularly grateful to Benjamin Schnieder for his detailed answers to several questions I had concerning his important and informative paper on Bolzano’s modal metaphysics. Finally, special thanks to the Notre Dame Center for Philosophy of Religion, where I completed a significant draft of this paper during my tenure as the 2016–2017 Alvin Plantinga fellow.

References

  1. Adams, M. (1977). Ockham’s nominalism and unreal entities. The Philosophical Review, 86(2), 144–176.Google Scholar
  2. Adams, M. (1987). William Ockham. Notre Dame: University of Notre Dame Press.Google Scholar
  3. Adams, R. (1981). Actualism and thisness. Synthese, 49, 3–41.Google Scholar
  4. Augustine, (1982). Eighty-three different questions. New York: Catholic University of America Press.Google Scholar
  5. Bennett, K. (2005). Two axes of actualism. Philosophical Review, 114(3), 297–326.Google Scholar
  6. Bolzano, B. (1837a). Wissenschaftslehre (Vol. 3). Sulzbach: Seidelsche Buchhandlung.Google Scholar
  7. Bolzano, B. (1837b). Wissenschaftslehre (Vol. 4). Sulzbach: Seidelsche Buchhandlung.Google Scholar
  8. Bolzano, B. (1973). Theory of science. edited by J. Berg. (B. Terrell, Trans.). Boston: D. Reidel Publishing Company.Google Scholar
  9. Bolzano, B. (2014). Theory of science. (P. Rusnock, R. George, Trans.). (Vol. 1). Oxford: Oxford University Press.Google Scholar
  10. Cameron, R. (2016). On characterizing the presentism/eternalism and actualism/possibilism debates. Analytic Philosophy, 57(2), 110140.Google Scholar
  11. Caplan, B. (2007). A new defence of the modal existence requirement. In: Synthese (Vol. 154.2, pp. 335–343). ISSN: 0039-7857.  https://doi.org/10.1007/s11229-005-3491-7.
  12. Caston, V. (1999). Something and nothing: The stoics on concepts and universals. In D. Sedley (Ed.), Oxford studies in ancient philosophy (Vol. XVII). Oxford: Oxford University Press.Google Scholar
  13. Chisholm, R. (1973). Beyond being and nonbeing. Philosophical Studies, 24, 245–257.Google Scholar
  14. De Rijk, L. M. (2005). Giralidu Odonis O.F.M., Opera Philosophica, Volume Two: De Intentionibus. Leiden: Brill.Google Scholar
  15. De Harven, V. (2015). How nothing can be something: The stoic theory of void. Ancient Philosophy, 35, 405–429.Google Scholar
  16. Fine, K. (1985). Plantinga on the reduction of possibilist discourse. In J. Tomberlin & P. van Inwagen (Eds.), Alvin plantinga. Reidel Profiles Series Book 5 (pp. 145–186). Dordrecht: D. Reidel.Google Scholar
  17. Fine, K. (1994). Essence and modality. In E. James (Ed.), Philosophical perspectives, Volume 8: Logic and language (pp. 1–16). Tomberlin. Oxford: Blackwell Publishers.Google Scholar
  18. Fine, K. (2005). Modality and tense: philosophical papers. Oxford: Oxford University Press.Google Scholar
  19. Fitch, G. W. (1996). In defense of Aristotelian actualism. Philosophical Perspectives, 10, 53–71.Google Scholar
  20. Forbes, G. (1992). Melia on modalism. Philosophical Studies, 68(1), 57–63.Google Scholar
  21. Forrest, P., & Armstrong, D. M. (1984). An argument against David Lewis’ Theory of possible worlds. Australasian Journal of Philosophy, 62, 164–168.Google Scholar
  22. Grim, P. (1984). There is no set of all truths. Analysis, 44(4), 206–208.Google Scholar
  23. Grim, P. (1986). On sets and worlds: a reply to menzel. Analysis, 46(4), 186–191.Google Scholar
  24. Hazen, A. (1976). Expressive completeness in modal language. Journal of Philosophical Logic, 5(1), 25–46.Google Scholar
  25. Hinchliff, M. (1989). Plantinga’s defense of serious actualism. Analysis, 49(4), 182–185.Google Scholar
  26. Hodes, H. (1984). On modal logics which enrich first-order S5. Journal of Philosophical Logic, 13(4), 423–454.Google Scholar
  27. Hodes, H. T. (1984). Axioms for actuality. Journal of Philosophical Logic, 13(1), 27–34.Google Scholar
  28. Hudson, H. (1997). On a new argument from actualism to serious Actu-alism. Nous, 31(4), 520–524.Google Scholar
  29. Kaplan, D. (1975). How to Russell a Frege-Church. The Journal of Philosophy (JSTOR), 72(19), 716–729.  https://doi.org/10.2307/2024635.CrossRefGoogle Scholar
  30. Lewis, D. (1986). On the plurality of worlds. New York: Oxford University Press.Google Scholar
  31. Linsky, B., & Zalta, E. N. (1994). In defense of the simplest quantified modal logic. In J. Tomberlin (Ed.), Philosophical perspectives 8: Logic and language (pp. 431–458). Atascadero: Ridgeview Publishing Co.Google Scholar
  32. Linsky, B., & Zalta, E. N. (1996). In defense of the contingently non-concrete. Philosophical Studies, 84(2–3), 283–294.Google Scholar
  33. Long, A. A., & Sedley, D. N. (1987). The Hellenistic philosophers, volume 1 of translations of the principal sources with philosophical commentary. Cambridge: Cambridge University Press.Google Scholar
  34. Marek, J. (2013). Alexius Meinong. In E. N. Zalta (Ed.), The Stanford encyclopedia of philosophy. Fall 2013. Stanford: Stanford University.Google Scholar
  35. McGinnis, J. (2010). Avicenna. Oxford: Oxford University Press.Google Scholar
  36. Meinong, A. (1899). Über Gegenstände höherer Ordnung und deren Verhältniß zur inneren Wahrnehmung. Zeitschrift für Psychologie und Physiologie der Sinnesorgane, 21, 182–272.Google Scholar
  37. Meinong, A. (1915). Uber Moglichkeit Und Wahrscheinlichkeit. Leipzig: Johann Am-brosius Barth.Google Scholar
  38. Meinong, A. (1960). The theory of objects. In R. Chisholm (Ed.), Realism and the background of phenomenology (Vol. 4, pp. 76–117). Glencoe, IL: Free Press.Google Scholar
  39. Meinong, A. (1965). Philosophenbriefe. Edited by R. Kindinger. Graz: Akademische Druck-und Verlaganstalt.Google Scholar
  40. Melia, J. (1992). Against modalism. Philosophical Studies, 68(1), 35–56.Google Scholar
  41. Menzel, C. (1986). On set theoretic possible worlds. Analysis, 46(2), 68–72.Google Scholar
  42. Menzel, C. (1989). On an unsound proof of the existence of possible worlds. Notre Dame Journal of Formal Logic, 30, 598–603.Google Scholar
  43. Menzel, C. (1990). Actualism, ontological commitment and possible world semantics. Synthese, 85(3), 355–389.Google Scholar
  44. Menzel, C. (1993). Singular propositions and modal logic. Philosophical Topics, 21(2), 113–148.Google Scholar
  45. Menzel, C. (2012). Sets and worlds again. Analysis 72.2, xx–xx. ISSN: 00032638.  https://doi.org/10.1093/analys/ans044.
  46. Menzel, C. (2014). Actualism. In E. N. Zalta (Ed.), Stanford encyclopedia of philosophy (2014th ed.). Stanford: Stanford University.Google Scholar
  47. Menzel, C. (2016). Possible worlds. In E. N. Zalta (Ed.), Stanford encyclopedia of philosophy (2016th ed.). Stanford: Stanford University.Google Scholar
  48. Parfit, D. (2011). On what matters (Vol. 2). Oxford: Oxford University Press.Google Scholar
  49. Parsons, T. (1974). A prolegomenon to Meinongian semantics. Journal of Philosophy, 71(16), 561–580.Google Scholar
  50. Plantinga, A. (1974). The nature of necessity. New York: Oxford University Press.Google Scholar
  51. Plantinga, A. (1976). Actualism and possible worlds. Theoria, 42, 139–160.Google Scholar
  52. Plantinga, A. (1983). On existentialism. Philosophical Studies, 44, 1–20.Google Scholar
  53. Plantinga, A. (1985). Replies to my colleagues. In A. Plantinga (Ed.) James Tomberlin and Peter van Inwagen (pp. 313–396). Dordrecht: Reidel Publishing Co.Google Scholar
  54. Pollock, J. (1985). Plantinga on possible worlds. In J. Tomberlin & P. van Inwagen (Eds.), Alvin Plantinga (pp. 121–144). Dordrecht: D. Reidel.Google Scholar
  55. Prior, A. N. (1957). Time and modality. Oxford: Clarendon Press.Google Scholar
  56. Prior, A., & Fine, K. (1977). Postscript by Kit Fine: Prior on the construction of possible worlds and instants. Worlds, Times, and Selves (pp. 116–168). Oxford: Clarendon Press.Google Scholar
  57. Quine, W. V. (1948). On what there is. The Review of Metaphyiscs, 2(5), 21–38.Google Scholar
  58. Robertson, T., & Atkins, P. (2018). Essential vs. accidental properties. In E. N. Zalta (Ed.), The Stanford encyclopedia of philosophy. Stanford: Metaphysics Research Lab, Stanford University.Google Scholar
  59. Russell, B. (1903). The principles of mathematics (1st ed.). New York: W. W. Norton & Co.Google Scholar
  60. Russell, B. (1905). On denoting. Mind, 14, 479–493.Google Scholar
  61. Schnieder, B. (2007). Mere possibilities: A Bolzanian approach to non-actual objects. Journal of the History of Philosophy, 45(4), 525–550.Google Scholar
  62. Simons, P. (1992). Philosophy and logic in central Europe from Bolzano to Tarski (Vol. 45)., Nijhoff International Philosophy Berlin: Springer.Google Scholar
  63. Simons, P. (2013). And now for something completely different: Meinong’s approach to modality. Humana. Mente Journal of Philosophical Studies, 25, 119–134.Google Scholar
  64. Stephanou, Y. (2005). First-order modal logic with an ’actually’ operator. Notre Dame Journal of Formal Logic, 46(4), 381–405.Google Scholar
  65. Stephanou, Y. (2007). Serious actualism. Philosophical Review, 116(2), 219–250.Google Scholar
  66. Turner, R. (1987). A theory of properties. Journal of Symbolic Logic, 52(2), 455–472.Google Scholar
  67. Williamson, T. (2013). Modal logic as metaphysics. Oxford: Oxford University Press.Google Scholar
  68. Wisnovski, R. (2003). Avicenna’s metaphysics in context. Ithaca: Cornell University Press.Google Scholar
  69. Wolter, A. B. (2003a). Ockham and the textbooks: On the origin of possibility. In: Scotus and Ockham-Selected Essays (Chap. 13, pp. 283–306). New York: Franciscan Institute Publications.Google Scholar
  70. Wolter, A. B. (2003b). Scotus on the origin of possibiility. In: Scotus and Ockham-selected essays (Chap. 7, pp. 129–141). New York: Franciscan Institute Publications.Google Scholar
  71. Yagisawa, T. (2005). A new argument against the modal existence requirement. Analysis, 65(2), 39–42.Google Scholar
  72. Zalta, E. N. (1983). Abstract objects: An introduction to axiomatic metaphysics. Dordrecht: D. Reidel.Google Scholar
  73. Zalta, E. N. (1993). Twenty-five basic theorems in situation and world theory. Journal of Philosophical Logic, 22(4), 385–428.Google Scholar
  74. Zalta, E. N. (2006). Essence and modality. Mind, 115(459), 659–693.Google Scholar

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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of PhilosophyTexas A&M UniversityTXUSA

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