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Self-commuting quantifiers

  • Dag Westerståhl (a1)

Abstract

We characterize the generalized quantifiers Q which satisfy the scheme QxQyфQyQxф, the so-called self-commuting quantifiers, or quantifiers with the Fubini property.

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References

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[1]Keenan, E. L. and Faltz, L., Boolean semantics for natural language, Reidel, Dordrecht, 1985.
[2]van Benthem, J., Polyadic quantifiers, Linguistics and Philosophy, vol. 12 (1989), pp. 437464.
[3]van Lambalgen, M., Independence, randomness and the axiom of choice, this Journal, vol. 57 (1992), pp. 12741304.
[4]Westerståhl, D., On the order between quantifiers, (Furberg, M.et al., editors), Acta Universitatis Gothoburgensis, 1986, pp. 273285.
[5]Westerståhl, D., Iterated quantifiers, Dynamics, polarity, and quantification (Kanazawa, M. and Piñon, C., editors), CSLI Lecture Notes, no. 48, CSLI, 1994, pp. 173209.
[6]Zimmermann, T. E., Scopeless quantifiers and operators, Journal of Philosophical Logic, vol. 22 (1993), pp. 545561.
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The Journal of Symbolic Logic
  • ISSN: 0022-4812
  • EISSN: 1943-5886
  • URL: /core/journals/journal-of-symbolic-logic
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