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Counterpossibles, Impossible Worlds, and the Notion of Similarity

Chapter
Part of the Logic, Argumentation & Reasoning book series (LARI, volume 14)

Abstract

The subject of this paper is a world-semantic analysis of counterpossibles, i.e., counterfactuals with impossible antecedents. We focus on the notion of similarity between worlds, which determines truth-value of counterfactuals. There are two commonly accepted assumptions about this notion. According to the first one, every possible world is more similar to the actual world than any impossible world. According to the second one, the trivial world (world where everything is true) is the most dissimilar to the actual world. Considering the notion of similarity we argue for a negative thesis and a positive thesis. The negative thesis is that both of these assumptions are false, and as such should not be taken as a “guide” to our understanding of similarity. The positive thesis is an alternative interpretation of the notion of similarity. The interpretation is based on an analogy of the inference to the best explanation and on the assumption that similarity is a ternary relation satisfied by the actual world, a non-actual world and a given factor of similarity. Similarity understood in this manner is a notion which requires an indication of a rule which supports the truth of the antecedent and explains its connection with the consequent.

Keywords

Counterfactuals Counterpossibles Impossible worlds Abduction 

References

  1. 1.
    Bennett, J. (2003). A philosophical guide to conditionals. Oxford: Oxford University Press.CrossRefGoogle Scholar
  2. 2.
    Berto, F. (2013). Impossible worlds. In E. N. Zalta (Ed.) The stanford encyclopedia of philosophy. http://plato.stanford.edu/entries/impossible-worlds.
  3. 3.
    Bjerring, J Ch. (2013). On counterpossibles. Philosophical Studies, 168(2), 327–353.CrossRefGoogle Scholar
  4. 4.
    Brogaard, B., & Salerno, J. (2013). Remarks on counterpossibles. Synthese, 190, 639–660.CrossRefGoogle Scholar
  5. 5.
    Daly, C. 2010. An introduction to philosophical methods. Peterborough: Broadview Press.Google Scholar
  6. 6.
    Gibbard, A. (1981). Two recent theories of conditionals. In W. Harper, R. Stalnaker & G. Pearce (Eds.), Ifs, Reidel, pp. 211–247.Google Scholar
  7. 7.
    Harman, G. (1965). Inference to the best explanation. Philosophical Review, 74(1), 88–95.CrossRefGoogle Scholar
  8. 8.
    Jago, M. (2012). Constructing worlds. Synthese, 189, 59–74.CrossRefGoogle Scholar
  9. 9.
    Jago, M. (2013). Impossible worlds. Noûs, 47(3),Google Scholar
  10. 10.
    Kratzer, A. (2012). Modals and conditionals: new and revised perspectives. Cambridge: Cambridge University Press, Chap 4.Google Scholar
  11. 11.
    Lewis, D. (1973). Counterfactuals. Oxford: Blackwell.Google Scholar
  12. 12.
    Lewis, D. (1986). On the plurality of worlds. Oxford: Blackwell.Google Scholar
  13. 13.
    Lipton, P. (1991). Inference to the best explanation. New York: Routledge.CrossRefGoogle Scholar
  14. 14.
    Mares, E. D. (1997). Who’s afraid of impossible worlds? Notre Dame Journal of Formal Logic, 38(4), 516–527.CrossRefGoogle Scholar
  15. 15.
    Nolan, D. (1997). Impossible worlds: modest aproach. Notre Dame Journal of Formal Logic, 38(4), 535–572.CrossRefGoogle Scholar
  16. 16.
    Nolan, D. (2013). Impossible worlds. Philosophy Compass, 8, 360–372.CrossRefGoogle Scholar
  17. 17.
    Peirce, C. S. (1903). Pragmatism as the logic of abduction. In: Peirce Edition Project Staff eds. 1998, Essential Peirce Volume 2: Selected Philosophical Writings, 1893–1913, pp. 221–241.Google Scholar
  18. 18.
    Priest, G. (1997a). Editor’s introduction. Notre Dame Journal of Formal Logic, 38(4), 481–487.CrossRefGoogle Scholar
  19. 19.
    Priest, G. (1997b). Sylvan’s box: a short story and ten morals. Notre Dame Journal of Formal Logic, 38(4), 573–582.CrossRefGoogle Scholar
  20. 20.
    Priest, G. (2005). Towards non-being: the logic and metaphysics of intentionality. Oxford: Oxford University Press.CrossRefGoogle Scholar
  21. 21.
    Priest, G. (2009). Conditionals: a debate with Jackson. In I. Ravenscroft (Ed.) Minds, worlds and conditionals: themes from the philosophy of Frank Jackson. Oxford: Oxford University Press, pp. 311–336.Google Scholar
  22. 22.
    Restall, G. (1997). Ways thing’s can’t be. Notre Dame Journal of Formal Logic, 38(4), 583–597.CrossRefGoogle Scholar
  23. 23.
    Rosen, G., Dorr, C. (2002). Composition as a fiction. In R. Gale (Ed.) The blackwell guide to metaphysics. Oxford: Blackwell.Google Scholar
  24. 24.
    Stalnaker, R. (1968). A theory of conditionals. In N. Rescher (Ed.) Studies in logical theory. Oxford: Blackwell.Google Scholar
  25. 25.
    Vander, Laan D. (1997). The ontology of impossible worlds. Notre Dame Journal of Formal Logic, 38(4), 597–620.CrossRefGoogle Scholar
  26. 26.
    Vander Laan, D. (2004). Counterpossibles and similarity. In F. Jackson & G. Priest (Eds.) Lewisian themes: the philosophy of David K. Lewis. Oxford: Oxford University Press, pp. 258 – 74.Google Scholar
  27. 27.
    Yagisawa, T. (1988). Beyond possible worlds. Philosophical Studies, 53, 175–204.CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Institute of PhilosophyUniversity of WarsawWarsawPoland

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