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Self-commuting quantifiers

Published online by Cambridge University Press:  12 March 2014

Dag Westerståhl
Dag Westerståhl*
Affiliation:
Department of Philosophy, Stockholm University, 106 91 Stockholm, Sweden, E-mail: westerstahl@philosophy.su.se
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Abstract

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

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 61 , Issue 1 , March 1996 , pp. 212 - 224
Copyright
Copyright © Association for Symbolic Logic 1996

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References

REFERENCES

[1]Keenan, E. L. and Faltz, L., Boolean semantics for natural language, Reidel, Dordrecht, 1985.Google Scholar
[2]van Benthem, J., Polyadic quantifiers, Linguistics and Philosophy, vol. 12 (1989), pp. 437–464.CrossRefGoogle Scholar
[3]van Lambalgen, M., Independence, randomness and the axiom of choice, this Journal, vol. 57 (1992), pp. 1274–1304.Google Scholar
[4]Westerståhl, D., On the order between quantifiers, (Furberg, M.et al., editors), Acta Universitatis Gothoburgensis, 1986, pp. 273–285.Google Scholar
[5]Westerståhl, D., Iterated quantifiers, Dynamics, polarity, and quantification (Kanazawa, M. and Piñon, C., editors), CSLI Lecture Notes, no. 48, CSLI, 1994, pp. 173–209.Google Scholar
[6]Zimmermann, T. E., Scopeless quantifiers and operators, Journal of Philosophical Logic, vol. 22 (1993), pp. 545–561.CrossRefGoogle Scholar