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Michael Carroll

University of Iowa
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 More details
University of Iowa
Department of Philosophy
PhD, 1976
Areas of Specialization
Logic and Philosophy of Logic
Areas of Interest
Logic and Philosophy of Logic
Philosophy of Mathematics
  • All publications (4)
  •  1
    The Logical modalities and the system S5
    Logique Et Analyse 19 (74): 457. 1976.
    Modal and Intensional Logic
  •  144
    An axiomatization of s13
    Philosophia 8 (2-3): 381-382. 1978.
    Specifies an axiomatization of the system S13 of modal logic. Referenced in Cocchiarella & Freund "Modal Logic: an Introduction to its Syntax and Semantics", Oxford University Press, 2008.
    Proof TheoryModal Logic
  •  41
    On Interpreting the S5 Propositional Calculus: an essay in philosophical logic
    Dissertation, University of Iowa. 1976.
    Discusses alternative interpretations of the modal operators, for the modal propositional logic S5.
    Semantics for Modal LogicModal Logic
  •  220
    Reduction to first degree in quantificational S5
    Journal of Symbolic Logic 44 (2): 207-214. 1979.
    It is shown that the modally first-degree formulas of quantificational S5 constitute a reduction class. This is done by defining prenex normal forms for quantificational S5, and then showing that for any formula A there is a formula B in prenex normal form, such that B is modally first-degree and is provable if and only if A is provable.
    Quantified Modal Logic
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