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Sortal Predicates, Identity and Quantification

  • Max A. Freund
Chapter
Part of the Synthese Library book series (SYLI, volume 408)

Abstract

The traits that might define the nature of a sortal predicate and, more general, that of a sortal concept, are one of the main topics of this chapter. It is pointed out that a complete specification of all defining traits might, in principle, be an impossible task. For this reason, we focus on just four of the criteria that have been proposed. These are those of individuation, identity, classification and counting. We discuss these criteria and assume them as necessary features of any sortal predicate. The grounds for this assumption are the different prototypes of sortal and non-sortal predicates that have guided the discussion of the subject. Other important themes considered in this chapter include sortal and absolute identity; Leibniz’s law for sortal identity; first-order sortal and absolute quantification; second-order sortal quantification; and sortal and standard predication.

Keywords

Predication Sortal predicate Sortal identity Sortal quantification Leibniz’s law Absolute identity Absolute quantification 

References

  1. Ayers, M. (1997). Is Physical Object a sortal concept? A reply to Xu. Mind and Language, 12, 393–405.CrossRefGoogle Scholar
  2. Bueno, O. (2014). Why identity is fundamental. American Philosophical Quarterly, 51, 325–332.Google Scholar
  3. Campbell, J. (2002). Reference and consciousness. New York: Oxford University Press.CrossRefGoogle Scholar
  4. Carey, S. (1995). Continuity and discontinuity in cognitive development. In Smith and Osherson (1995).Google Scholar
  5. Carey, S., & Xu, F. (1999). Sortal and kinds: An appreciation of John McNamara. In Jackendoff, Bloom and Wynn (1999) (pp. 311–336).Google Scholar
  6. Cartwright, R. (1994). Speaking of everything. Nous, 28, 1–20.CrossRefGoogle Scholar
  7. Casati, R. (2004). Is the object concept formal? Dialectica, 58, 383–394.CrossRefGoogle Scholar
  8. Chapman, T. (1973). Identity and reference. Mind, 82, 542–556.CrossRefGoogle Scholar
  9. Clark, A. (2006). Attention and inscrutability: A commentary on John Campbell. Reference and Consciousness. Philosophical Studies, 127, 167–193.Google Scholar
  10. Dummett, M. (1973). Frege. philosophy of language. London: Duckworth.Google Scholar
  11. Dummett, M. (1981). The interpretation of Freges philosophy. London: Duckworth. ´Google Scholar
  12. Dummett, M. (1993a). Seas of language. Oxford: Clarendon Press.Google Scholar
  13. Feldman, F. (1973). Sortal predicates. Nous, 7, 268–282.CrossRefGoogle Scholar
  14. Fine, K. (2006). Relatively unrestricted quantification. In Rayo and Uzquiano (2006) (pp. 20–44).Google Scholar
  15. Frege, G. (1974/1884). The foundations of arithmetic: A logico-mathematical enquiry Into the concept of number (translated by J.L. Austin, 2nd ed.). Oxford: Blackwell.Google Scholar
  16. Geach, P. (1973). Ontological relativity and relative identity. In Munitz (1973) (pp. 287–302).Google Scholar
  17. Geach, P. (1980). Reference and generality. Ithaca: Cornell University Press.Google Scholar
  18. Geach, P., & Black, M. (Eds. and trans.). (1952). Translations from the philosophical writings of Gottlob Frege. Oxford: Blackwell.Google Scholar
  19. Glanzberg, M. (2004). Quantification and realism. Philosophy and Phenomenological Research, 69, 541–572.CrossRefGoogle Scholar
  20. Gracia, J. E. (1988). Individuality, an essay on the foundations of metaphysics. Albany: SUNY Press.Google Scholar
  21. Grandy, R. (2016). Sortals. In E. N. Zalta (Ed.), The Stanford encyclopedia of philosophy (Winter 2016 Edition). https://plato.stanford.edu/archives//win2016/entries/sortals/
  22. Griffin, N. (1977). Relative identity. Oxford: Oxford University Press.Google Scholar
  23. Gupta, A. (1980). Logic of common nouns. Ithaca: Yale University Press.Google Scholar
  24. Heil, J. (2003). From an ontological point of view. Oxford: Clarendon Press.CrossRefGoogle Scholar
  25. Hellman, G. (2006). Against ‘absolute everything’. In Rayo and Uzquiano (2006) (pp. 75–97).Google Scholar
  26. Levine, S. (2006). Something about everything: Universal quantification in the universal sense of universal quantification. In Rayo and Uzquiano (2006) (pp. 98–148).Google Scholar
  27. Locke, J. (1975/1690). In P. Nidditch (Ed.), Essay concerning human understanding. Oxford: Oxford University Press.Google Scholar
  28. Lowe, E. (1989). What is a criterion of identity. The Philosophical Quarterly, 39, 1–21.CrossRefGoogle Scholar
  29. Lowe, E. (1997). Objects and criteria of identity. In Hale and Wright (1997) (pp. 613–633).Google Scholar
  30. Lowe, E. (2003). Individuation. In Loux and Zimmerman (2003) (pp.75–98).Google Scholar
  31. Lowe, E. (2007). Sortals and the individuation of objects. Mind and Language, 22, 514–533.CrossRefGoogle Scholar
  32. Lowe, E. (2009). More kinds of beings: A further study of individuation, identity and the logic of sortal terms. Sussex: Wiley.Google Scholar
  33. McGinn, C. (2000). Logical properties. Oxford: Blackwell.CrossRefGoogle Scholar
  34. Noonan, H. (1977). Objects and identity. Cambridge Ph.D. thesis.Google Scholar
  35. Odegard, D. (1972). Identity through time. American Philosophical Quarterly, 9, 29–38.Google Scholar
  36. Parsons, C. (2006). The problem of absolute universality. In Rayo and Uzquiano (2006) (pp. 203–219).Google Scholar
  37. Perry, J. (1970). The same F. The Philosophical Review, 79, 181–200.CrossRefGoogle Scholar
  38. Quine, W. V. (1950). Identity, ostension and hypostasis. In Quine (1980) (pp. 65–80).CrossRefGoogle Scholar
  39. Quine, W. V. (1964a). Review of Geach, P.T. Reference and generality. Philosophical Review, 73, 100–104.CrossRefGoogle Scholar
  40. Quine W. V. (1964b). Word and object. Cambridge: MIT Press.Google Scholar
  41. Quine, W. V. (1982). Mathematical logic. Cambridge: Harvard University Press.Google Scholar
  42. Savellos, E. (1990). On defining identity. Notre Dame Journal of Formal Logic, 31, 476–484.CrossRefGoogle Scholar
  43. Snowdon, P. (2009). On the sortal dependency of individuation thesis. In Dyke (2009) (pp. 254–271).Google Scholar
  44. Stevenson, L. (1972). Relative identity and Leibniz’ law. The Philosophical Quarterly, 22, 155–158.CrossRefGoogle Scholar
  45. Strawson, P. F. (1959). Individuals. London: Metheuen.Google Scholar
  46. Wiggins, D. (1967). Identity and spatio-temporal continuity. Oxford: Blackwell.Google Scholar
  47. Wiggins, D. (1997). Sortal concepts: A reply to Xu. Mind and Language, 12, 413–421.CrossRefGoogle Scholar
  48. Wiggins, D. (2001). Sameness and substance renewed. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
  49. Williamson, T. (2003). Everything. Philosophical Perspectives, 17, 415–453.CrossRefGoogle Scholar
  50. Williamson, T. (2013). Identity and discrimination. Oxford: Wiley-Blackwell.CrossRefGoogle Scholar
  51. Wittgenstein, L. (1958). Philosophical investigations (2nd ed.). Oxford: Basil Blackwell.Google Scholar
  52. Wright, C. (1983). Frege’s conception of numbers as objects. Aberdeen: Aberdeen University Press.Google Scholar
  53. Xu, F. (1997). From Lot’s wife to a pillar of salt: Evidence that physical object is a sortal concept. Mind and Language, 12(3–4), 365–392.CrossRefGoogle Scholar
  54. Xu, F. (2007). Sortal concepts, object individuation, and language. Trends in Cognitive Science, 11, 400–406.CrossRefGoogle Scholar
  55. Xu, F., Carey, S., & Welch, J. (1999). Infant’s ability to use object kind information for object individuation. Cognition, 70, 137–166.CrossRefGoogle Scholar
  56. Zemach, E. (1974). In defence of relative identity. Philosophical Studies, 26, 207–218.CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Max A. Freund
    • 1
  1. 1.Professor of Logic and Philosophy, Graduate Program in PhilosophyUniversity of Costa RicaSan JoséCosta Rica

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