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Quantification, Modality, and Semantic Ascent

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

Abstract

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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Notes

  1. in “Three Grades of Modal Involvement”.

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  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).

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  3. Compare Montague (1960) on this point.

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  4. Summa Logicales 7. 26.

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  5. Of particular interest is the modal logic of the canonical proof predicate of arithmetic. See Boolos (1979); and Smorynski (1985).

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References

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Skyrms, B. (1991). Quantification, Modality, and Semantic Ascent. In: Brittan, G.G. (eds) Causality, Method, and Modality. The University of Western Ontario Series in Philosophy of Science, vol 48. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3348-7_10

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  • DOI: https://doi.org/10.1007/978-94-011-3348-7_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5479-9

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