19 found
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  1.  4
    Set Theory.Keith J. Devlin - 1981 - Journal of Symbolic Logic 46 (4):876-877.
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  2.  11
    Constructibility.Keith J. Devlin - 1987 - Journal of Symbolic Logic 52 (3):864-867.
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  3. The Math Gene How Mathematical Thinking Evolved and Why Numbers Are Like Gossip.Keith J. Devlin - 2000
     
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  4.  12
    Some Weak Versions of Large Cardinal Axioms.Keith J. Devlin - 1973 - Annals of Pure and Applied Logic 5 (4):291.
  5.  12
    ℵ1-Trees.Keith J. Devlin - 1978 - Annals of Mathematical Logic 13 (3):267-330.
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  6. Variations on \Diamond.Keith J. Devlin - 1979 - Journal of Symbolic Logic 44 (1):51-58.
    Various equivalents and weakenings of the combinatorial principle $\diamond$ are considered. The paper contains both absolute results and consistency results. Also included is a new characterisation of the notion of a stationary subset of $\omega_1$.
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  7.  15
    Thomas Jech. Set Theory. Pure and Applied Mathematics. Academic Press, New York, San Francisco, and London, 1978, Xi + 621 Pp. [REVIEW]Keith J. Devlin - 1981 - Journal of Symbolic Logic 46 (4):876-877.
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  8.  5
    [Aleph]-Trees.Keith J. Devlin - 1978 - Annals of Pure and Applied Logic 13 (3):267.
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  9.  15
    On the Singular Cardinals Problem.Jack Silver, Fred Galvin, Keith J. Devlin & R. B. Jensen - 1981 - Journal of Symbolic Logic 46 (4):864-866.
  10.  74
    Variations on ◊.Keith J. Devlin - 1979 - Journal of Symbolic Logic 44 (1):51 - 58.
    Various equivalents and weakenings of the combinatorial principle $\diamond$ are considered. The paper contains both absolute results and consistency results. Also included is a new characterisation of the notion of a stationary subset of ω 1.
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  11.  45
    The Combinatorial Principle ⋄#.Keith J. Devlin - 1982 - Journal of Symbolic Logic 47 (4):888-899.
    We consider various strengthenings of the combinatorial principle ⋄ + which are provable from V = L, and give applications in set theory.
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  12.  6
    Fundamentals of Contemporary Set Theory.Keith J. Devlin - 1981 - Journal of Symbolic Logic 46 (2):419-420.
  13.  18
    Some Remarks on Changing Cofinalities.Keith J. Devlin - 1974 - Journal of Symbolic Logic 39 (1):27-30.
    In [2], Prikry showed that if κ is a weakly inaccessible cardinal which carries a Rowbottom filter, then there is a Boolean extension of V (the universe), having the same cardinals as V, in which cf(κ) = ω. In this note, we obtain necessary and sufficient conditions which a filter D on κ must possess in order that this may be done.
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  14.  12
    Concerning the Consistency of the Souslin Hypothesis with the Continuum Hypothesis.Keith J. Devlin - 1980 - Annals of Pure and Applied Logic 19 (1):115.
  15.  33
    Measurable Cardinals and a Combinatorial Principle of Jensen.Keith J. Devlin - 1973 - Journal of Symbolic Logic 38 (4):551-560.
  16.  32
    Infons as Mathematical Objects.Keith J. Devlin - 1992 - Minds and Machines 2 (2):185-201.
    I argue that the role played by infons in the kind of mathematical theory of information being developed by several workers affiliated to CSLI is analogous to that of the various number systems in mathematics. In particular, I present a mathematical construction of infons in terms of representations and informational equivalences between them. The main theme of the paper arose from an electronic mail exchange with Pat Hayes of Xeroxparc. The exposition derives from a talk I gave at theTheories of (...)
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  17.  13
    Hierarchies of Constructible Sets.Keith J. Devlin - 1977 - Annals of Pure and Applied Logic 11 (2):195.
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  18. Review: Thomas Jech, Set Theory. [REVIEW]Keith J. Devlin - 1981 - Journal of Symbolic Logic 46 (4):876-877.
  19. A Mathematical Mystery Tour.Don Wescott, Peter Howell, A. D. Cornell, Keith J. Devlin & Robert Brown - 1985 - Time-Life Video.