Non-Standard Possible Worlds, Generalised Quantifiers, and Modal Logic

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Philosophical Logic in Poland

Part of the book series: Synthese Library ((SYLI,volume 228))

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Abstract

The concept of non-standard possible worlds introduced by N. Rescher and R. Brandom in their book The Logic of Inconsistency. A Study in Non-standard Possible-World Semantics and Ontology l is a generalisation of the concept of “standard” possible worlds. A non-standard possible world (in short: n-world), in contrast to a standard possible world (in short: p-world), can be inconsistent and incomplete. An n-world is inconsistent if for some proposition A, both A and ⌝A obtain in the world; an n-world is incomplete if for some proposition A neither A nor ⌝A obtain in the world.2

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Bibliography

  1. Barwise, J. and Cooper, R.: 1981, `Generalized Quantifiers and Natural Language’, Linguistics and Philosophy 4, 159–219.

    Article  MATH  Google Scholar 

  2. Corcoran, J.: 1972, `Variable Binding Term Operators’, Zeitschrift für mathematische Logik und Grundlagen der Mathematik 18, 177–182.

    Article  MathSciNet  MATH  Google Scholar 

  3. Gallin, D.: 1975, Intensional and Higher-Order Modal Logic, North-Holland Publishing Company, Amsterdam.

    MATH  Google Scholar 

  4. Hughes, G. E. and Cresswell, M. J.: 1968, An Introduction to Modal Logic, Methuen, London.

    MATH  Google Scholar 

  5. Hughes, G. E. and Cresswell, M. J.: 1984, A Companion to Modal Logic, Methuen, London.

    MATH  Google Scholar 

  6. Jacquette, D.: Meinongian Logic. The Semantics of Existence and Nonexistence,forthcomming.

    Google Scholar 

  7. Lewis, D.: 1978, `Truth in Fiction’, American Philosophical Quarterly 15, 37–46.

    Google Scholar 

  8. Montague, R.: 1974, `Pragmatics’. In: Thomason, R. (Ed.) Formal Philosophy: Selected Papers of Richard Montague, Yale University Press, New Haven and London.

    Google Scholar 

  9. Montague, R.: 1974, `The Proper Treatment of Quantification in Ordinary English’. In: Thomason, R. (Ed.) Formal Philosophy: Selected Papers of Richard Montague, Yale University Press, New Haven and London.

    Google Scholar 

  10. Parsons, T.: 1980, Nonexistent Objects, Yale University Press, New Haven and London.

    Google Scholar 

  11. Paśniczek, J.: 1988, Meinongowska wersja logiki klasycznej. (The Meinongian Version of Classical Logic), Wydawnictwo Uniwersytetu Mani Curie-Sklodowskiej, Lublin.

    Google Scholar 

  12. Rapaport, W.: 1978, `Meinongian Theories and Russellian Paradox’, Nods 12, 153–180.

    MathSciNet  Google Scholar 

  13. Rapaport, W.: 1985, `Nonexistent Objects and Epistemological Ontology’, Grazer Philosophische Studien 25–26, 61–98.

    Google Scholar 

  14. Rescher, N. and Brandom, R.: 1980, The Logic of Inconsistency. A Study in Non-Standard Possible-World Semantics and Ontology, Basil Blackwell, Oxford.

    MATH  Google Scholar 

  15. Routley, R.: 1980, Exploring Meinong’s Jungle and Byond, Department Monograph #3, Philosophy Department, Research School of Social Sciences, Australian National University, Canberra.

    Google Scholar 

  16. Sher, G.: 1991, The Bounds of Logic. A Generalised Viewpoint, The MIT Press, Cambridge, Massachusette, London.

    Google Scholar 

  17. Van Benthem, J.: 1984, `Questions about Quantifiers’, Journal of Symbolic Logic 49, 443466.

    Google Scholar 

  18. van Eijck, J.: 1985, Aspects of Quantification in Natural Language, diss., Rijksuniversiteit, Groningen.

    Google Scholar 

  19. Westerstlihl D.: 1989, `Quantifiers in Formal and Natural Languages’. In: Gabbay, D. and Guenthner, F. (Eds.), Handbook of Philosophical Logic, Volume IV, D. Reidel, Dordrecht, pp. 1–131.

    Chapter  Google Scholar 

  20. Zalta, E.: 1983, Abstract Objects. An Introduction to Axiomatic Metaphysics, D. Reidel, Dordrecht.

    Google Scholar 

  21. Zalta, E.: 1988, Intensional Logic and the Metaphysics of Intentionality, The MIT Press, Cambridge, Massachusetts, London.

    Google Scholar 

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Paśniczek, J. (1994). Non-Standard Possible Worlds, Generalised Quantifiers, and Modal Logic. In: Woleński, J. (eds) Philosophical Logic in Poland. Synthese Library, vol 228. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8273-5_12

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  • DOI: https://doi.org/10.1007/978-94-015-8273-5_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4276-7

  • Online ISBN: 978-94-015-8273-5

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