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The Sorites

  • Michael Huemer
Chapter

Abstract

Removing a single grain from a heap of sand does not convert the heap to a non-heap. This principle entails that if a million grains of sand make a heap, then one grain of sand makes a heap. This paradox arises from the vagueness of language. Vague language is used to express vague thoughts. Vague thoughts are thoughts that are neither fully satisfied nor fully unsatisfied by certain states of the world, but instead may be satisfied to varying degrees. Strictly speaking, vague thoughts do not express propositions. Nevertheless, we often appropriately pretend that they do, because they come close enough to expressing propositions. This causes logical problems when we also incorporate into our reasoning the very facts that prevent our thoughts from expressing propositions.

References

  1. Barnes, Elizabeth and John Robert Gareth Williams. 2009. “Vague Parts and Vague Identity”, Pacific Philosophical Quarterly 90: 176–87.CrossRefGoogle Scholar
  2. Braun, David and Theodore Sider. 2007. “Vague, So Untrue”, Noûs 41: 133–56.CrossRefGoogle Scholar
  3. Clark, Michael. 2002. Paradoxes from A to Z. London: Routledge.Google Scholar
  4. Colbert, Stephen. 2005. “The Word – Truthiness”, The Colbert Report, October 17, http://www.cc.com/video-clips/63ite2/the-colbert-report-the-word---truthiness, accessed May 26, 2017.
  5. Dretske, Fred. 1981. “The Pragmatic Dimension of Knowledge”, Philosophical Studies 40: 363–78.CrossRefGoogle Scholar
  6. Evans, Gareth. 1978. “Can There Be Vague Objects?”, Analysis 38: 208.CrossRefGoogle Scholar
  7. Fine, Kit. 1975. “Vagueness, Truth and Logic”, Synthese 30: 265–300.CrossRefGoogle Scholar
  8. Frege, Gottlob. 2013. Basic Laws of Arithmetic, tr. and ed. Philip Ebert, Marcus Rossberg, and Crispin Wright. Oxford: Oxford University Press. Originally published in two volumes, 1893 and 1903.Google Scholar
  9. Goguen, Joseph A. 1969. “The Logic of Inexact Concepts”, Synthese 19: 325–73.CrossRefGoogle Scholar
  10. Hart, Wilbur D. 1992. “Hat-Tricks and Heaps”, Philosophical Studies (Dublin) 33: 1–24.Google Scholar
  11. Kripke, Saul. 1980. Naming and Necessity. Oxford: Basil Blackwell.Google Scholar
  12. Krkač, Kristijan. 2012. A Custodian of Grammar: Essays on Wiggenstein’s Philosophical Morphology. Lanham, MD: Rowman & Littlefield.Google Scholar
  13. Lewis, David. 1982. “Logic for Equivocators”, Noûs 16: 431–41.CrossRefGoogle Scholar
  14. Lewis, David. 1986. On the Plurality of Worlds. Oxford: Blackwell.Google Scholar
  15. Lewis, David. 1988. “Vague Identity: Evans Misunderstood”, Analysis 48: 128–30.CrossRefGoogle Scholar
  16. Machina, Kenton F. 1976. “Truth, Belief, and Vagueness”, Journal of Philosophical Logic 5: 47–78.CrossRefGoogle Scholar
  17. Putnam, Hilary. 1975. “The Meaning of ‘Meaning’”, Minnesota Studies in the Philosophy of Science 7: 215–71.Google Scholar
  18. Quine, Willard van Orman. 1986. Philosophy of Logic, 2nd ed. Cambridge, MA: Harvard University Press.Google Scholar
  19. Raffman, Diana. 1996. “Vagueness and Context-sensitivity”, Philosophical Studies 81: 175–92.CrossRefGoogle Scholar
  20. Rescher, Nicholas. 2001. Paradoxes: Their Roots, Range, and Resolution. Chicago, IL: Open Court.Google Scholar
  21. Russell, Bertrand. 1923. “Vagueness”, Australasian Journal of Philosophy and Psychology 1: 84–92.CrossRefGoogle Scholar
  22. Russell, Bertrand. 1948. Human Knowledge: Its Scope and its Limits. London: Allen & Unwin.Google Scholar
  23. Sainsbury, Richard M. 2009. Paradoxes, 3rd ed. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
  24. Searle, John R. 1983. Intentionality. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
  25. Smith, Nicholas J. J. 2008. Vagueness and Degrees of Truth. Oxford: Oxford University Press.CrossRefGoogle Scholar
  26. Sorensen, Roy. 1988. Blindspots. Oxford: Clarendon.Google Scholar
  27. Sorensen, Roy. 2001. Vagueness and Contradiction. Oxford: Clarendon.Google Scholar
  28. Tye, Michael. 1989. “Supervaluationism and the Law of Excluded Middle”, Analysis 49: 141–3.CrossRefGoogle Scholar
  29. Tye, Michael. 1994. “Sorites Paradoxes and the Semantics of Vagueness”, Philosophical Perspectives 8: Logic and Language, pp. 189–206.Google Scholar
  30. Unger, Peter. 1979a. “There Are No Ordinary Things”, Synthese 41: 117–54.CrossRefGoogle Scholar
  31. Unger, Peter. 1979b. “Why There Are No People”, Midwest Studies in Philosophy 4: 177–222.CrossRefGoogle Scholar
  32. Wheeler, Samuel C. 1979. “On That Which Is Not”, Synthese 41: 155–73.CrossRefGoogle Scholar
  33. Williamson, Timothy. 1994a. “Definiteness and Knowability”, Southern Journal of Philosophy 33, Supplement: 171–91.CrossRefGoogle Scholar
  34. Williamson, Timothy. 1994b. Vagueness. London: Routledge.Google Scholar
  35. Zadeh, Lotfi A. 1965. “Fuzzy Sets”, Information and Control 8: 338–53.CrossRefGoogle Scholar

Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Michael Huemer
    • 1
  1. 1.Philosophy DepartmentUniversity of Colorado BoulderBoulderUSA

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