Contact

Affiliations
  • PhD, University of Iowa, 1976.

Areas of specialization

Areas of interest

blank
About me
Retired. Interests include modal logic and the foundations of mathematics.
My works
3 items found.
Sort by:
  1. Michael J. Carroll (1979). Reduction to First Degree in Quantificational S5. Journal of Symbolic Logic 44 (2):207-214.
    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.
    Direct download (5 more)  
     
    My bibliography  
     
    Export citation  
  2. Michael J. Carroll (1978). An Axiomatization of S13. Philosophia 8 (2-3):381-382.
    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.
    Direct download (6 more)  
     
    My bibliography  
     
    Export citation  
  3. Michael J. Carroll (1976). On Interpreting the S5 Propositional Calculus: An Essay in Philosophical Logic. Dissertation, University of Iowa
    Discusses alternative interpretations of the modal operators, for the modal propositional logic S5.
    Translate to English
    | Direct download  
     
    My bibliography  
     
    Export citation  
Is this list right?