Quantification, Modality, and Semantic Ascent

  • Brian Skyrms
Part of the The University of Western Ontario Series in Philosophy of Science book series (WONS, volume 48)


Since Professor Vuillemin has studied several aspects of the thought of Bertrand Russell, it is perhaps appropriate here to juxtapose a program for metalinguistic interpretation of modality considered by Quine with a much more sweeping metalinguistic program earlier advocated by Russell.


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  1. 1.
    in “Three Grades of Modal Involvement”.Google Scholar
  2. 2.
    I discuss this in some detail in “Mates Quantification and Intensional Logic”. The reader may also want to compare the treatments of quantification in Bencivenga, Lambert and van Fraassen (1986); Lambert and van Fraassen (1972); and Scott (1970).Google Scholar
  3. 3.
    Compare Montague (1960) on this point.Google Scholar
  4. 4.
    Summa Logicales 7. 26.Google Scholar
  5. 5.
    Of particular interest is the modal logic of the canonical proof predicate of arithmetic. See Boolos (1979); and Smorynski (1985).Google Scholar


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Copyright information

© Springer Science+Business Media Dordrecht 1991

Authors and Affiliations

  • Brian Skyrms
    • 1
  1. 1.University of CaliforniaIrvineUSA

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