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Alan Slomson

University of Leeds
  •  Home
  •  Publications
    16
    • Most Recent
    • Most Downloaded
    • Topics
  •  News and Updates
    10

 More details
  • University of Leeds
    Regular Faculty
Leeds, West Yorkshire, United Kingdom of Great Britain and Northern Ireland
Areas of Interest
Logic and Philosophy of Logic
General Philosophy of Science
  • All publications (16)
  •  40
    Models and Ultraproducts: An Introduction
    with J. L. Bell
    Journal of Symbolic Logic 37 (4): 763-764. 1972.
    Logic and Philosophy of LogicModel Theory
  •  39
    Introduction to Axiomatic Set Theory
    with E. J. Lemmon
    Philosophical Quarterly 20 (78): 82. 1970.
    Areas of Mathematics
  •  27
    Chang C. C. and Keisler H. Jerome. Applications of ultraproducts of pairs of cardinals to the theory of models. Pacific journal of mathematics, vol. 12 , pp. 835–845.Chang C. C.. A note on the two cardinal problem. Proceedings of the American Mathematical Society, vol. 16 no. 6 , pp. 1148–1155 (review)
    Journal of Symbolic Logic 36 (2): 338-339. 1971.
    Model Theory
  •  15
    An undecidable two sorted predicate calculus
    Journal of Symbolic Logic 34 (1): 21-23. 1969.
    Logic and Philosophy of Logic
  •  14
    Saharon Shelah. On the cardinality of ultraproduct of finite sets. The journal of symbolic logic, vol. 35 , pp. 83–84
    Journal of Symbolic Logic 38 (4): 650. 1973.
    Logic and Philosophy of LogicLogic and Philosophy of Logic, Miscellaneous
  •  14
    H. Jerome Keisler. On cardinalities of ultraproducts. Bulletin of the American Mathematical Society, vol. 70 , pp. 644–647 (review)
    Journal of Symbolic Logic 38 (4): 650. 1973.
    Logic and Philosophy of LogicModel Theory
  •  13
    Gebhard Furhken. Languages with added quantifier “there exist at least Nα.”The theory of models, Proceedings of the 1963 International Symposium at Berkeley, edited by J. W. Addison, Leon Henkin, and Alfred Tarski, Studies in logic and the foundations of mathematics, North-Holland Publishing Company, Amsterdam1965, pp. 121–131 (review)
    Journal of Symbolic Logic 35 (2): 342. 1970.
    Quantifiers
  •  12
    The American Mathematical Society during January 8–11, 1997, in San Diego, California.• The 1996–97 ASL Annual Meeting will be held March 22–25, 1997, at the Massachusetts Institute of Technology in Cambridge, Massachusetts. Chair of the local organizing com-mittee is Sy Friedman.• The 1997 ASL European Summer Meeting (Logic Colloquium'97) will be held in early (review)
    with J. Derrick, F. Drake, D. Macpherson, J. Truss, and S. Wainer
    Bulletin of Symbolic Logic 1 (3). 1995.
    Science, Logic, and MathematicsLogic and Philosophy of Logic, Misc
  •  8
    Remarks on Rescher's note on 'about'
    Mind 75 (299): 429-430. 1966.
    Rescher's suggested criterion for saying that a given proposition is "about a" is criticized and an alternative is suggested.
    Logic and Philosophy of Logic
  •  7
    Review: C. C. Chang, H. Jerome Keisler, Applications of Ultraproducts of Pairs of Cardinals to the Theory of Models; C. C. Chang, A Note on the Two Cardinal Problem (review)
    Journal of Symbolic Logic 36 (2): 338-339. 1971.
    Logic and Philosophy of LogicModel Theory
  •  4
    1997 European Summer Meeting of the Association for Symbolic Logic
    with M. Hyland Hodges, A. H. Lachlan, A. Louveau, Y. N. Moschovakis, L. Pacholski, J. K. Truss, and S. S. Wainer
    Bulletin of Symbolic Logic 4 (1): 55-117. 1998.
    Science, Logic, and MathematicsLogic and Philosophy of Logic, Misc
  •  3
    An algebraic characterization of indistinguishable cardinals
    Journal of Symbolic Logic 35 (1): 97-104. 1970.
    Two cardinals are said to beindistinguishableif there is no sentence of second order logic which discriminates between them. This notion, which is defined precisely below, is closely related to that ofcharacterizablecardinals, introduced and studied by Garland in [3]. In this paper we give an algebraic criterion for two cardinals to be indistinguishable. As a consequence we obtain a straightforward proof of an interesting theorem about characterizable cardinals due to Zykov [6].
    Logic and Philosophy of LogicCardinals and OrdinalsAxioms of Set Theory
  •  2
    Review: C. C. Chang, Descendingly Incomplete Ultrafilters (review)
    Journal of Symbolic Logic 38 (4): 650-650. 1973.
    Logic and Philosophy of LogicModel Theory
  •  2
    Review: Gebhard Furhken, J. W. Addison, Leon Henkin, Alfred Tarski, Languages with Added Quantifier There Exist at Least $aleph_alpha$ (review)
    Journal of Symbolic Logic 35 (2): 342-342. 1970.
    Logic and Philosophy of LogicModel Theory
  • Review: H. Jerome Keisler, On Cardinalities of Ultraproducts (review)
    Journal of Symbolic Logic 38 (4): 650-650. 1973.
    Logic and Philosophy of LogicModel Theory
  • The 1996-97 ASL Winter Meeting will be held in conjunction with the Annual Meeting of the American Mathematical Society during January 8-11, 1997, in San Diego, California. The 1996-97 ASL Annual Meeting will be held March 22-25, 1997, at the Massachusetts Institute of Technology in Cambridge, Massachusetts. Chair of the local organizing com-mittee is Sy Friedman (review)
    with A. Louveau, Y. Moschovakis, L. Pacholski, H. Schwichtenberg, T. Slaman, J. Truss, H. D. Macpherson, and S. Wainer
    Bulletin of Symbolic Logic 2 121. 1996.
    Science, Logic, and MathematicsLogic and Philosophy of Logic, Misc
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