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  1.  31
    Stephen Cole Kleene (1952). Introduction to Metamathematics. North Holland.
  2. S. C. Kleene (1963). An Addendum: Disjunction and Existence Under Implication in Elementary Intuitionistic Formalisms. Journal of Symbolic Logic 28 (2):154-156.
  3. S. C. Kleene (1938). On Notation for Ordinal Numbers. Journal of Symbolic Logic 3 (4):150-155.
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  4.  48
    Stephen Cole Kleene (1967). Mathematical Logic. Dover Publications.
    Undergraduate students with no prior classroom instruction in mathematical logic will benefit from this evenhanded multipart text by one of the centuries greatest authorities on the subject. Part I offers an elementary but thorough overview of mathematical logic of first order. The treatment does not stop with a single method of formulating logic; students receive instruction in a variety of techniques, first learning model theory (truth tables), then Hilbert-type proof theory, and proof theory handled through derived rules. Part II supplements (...)
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  5.  67
    S. C. Kleene (1945). On the Interpretation of Intuitionistic Number Theory. Journal of Symbolic Logic 10 (4):109-124.
  6. Stephen Cole Kleene (1965). The Foundations of Intuitionistic Mathematics. Amsterdam, North-Holland Pub. Co..
     
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  7.  17
    S. C. Kleene (1973). Realizability: A Retrospective Survey. In A. R. D. Mathias & H. Rogers (eds.), Cambridge Summer School in Mathematical Logic. New York,Springer-Verlag 95--112.
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  8.  2
    Leopold Lowenheim, S. C. Kleene, Paul Bernays, Saunders MacLane, Ernest Nagel, Albert Wohlstetter, J. C. C. McKinsey, Charles A. Baylis, Carl G. Hempel & C. H. Langford (2013). The Journal of Symbolic Logic Publishes Original Scholarly Work in Symbolic Logic. Founded in 1936, It has Become the Leading Research Journal in the Field. The Journal Aims to Represent Logic Broadly, Including its Connections with Mathematics and Philosophy as Well as Newer Aspects Related to Computer Science and Linguistics. [REVIEW] Journal of Symbolic Logic 43 (44).
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  9.  8
    Stephen C. Kleene & Martin Davis (1990). Origins of Recursive Function Theory. Journal of Symbolic Logic 55 (1):348-350.
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  10.  27
    J. R. Shoenfield & S. C. Kleene (1995). The Mathematical Work of S. C. Kleene. Bulletin of Symbolic Logic 1 (1):8-43.
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  11.  15
    Stephen C. Kleene (1987). Reflections on Church's Thesis. Notre Dame Journal of Formal Logic 28 (4):490-498.
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  12.  10
    S. C. Kleene (1962). Disjunction and Existence Under Implication in Elementary Intuitionistic Formalisms. Journal of Symbolic Logic 27 (1):11-18.
  13.  2
    S. C. Kleene (1959). Countable Functionals. In A. Heyting (ed.), Journal of Symbolic Logic. Amsterdam, North-Holland Pub. Co. 81--100.
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  14. Solomon Feferman, John Dawson & Stephen Kleene (eds.) (1990). Kurt Gödel: Collected Works Vol. Ii. Oxford University Press.
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  15.  8
    S. C. Kleene (1949). Review: K. R. Popper, On the Theory of Deduction, Part I. Derivation and its Generalizations; K. R. Popper, On the Theory of Deduction, Part II. The Definitions of Classical and Intuitionist Negation; K. R. Popper, The Trivialization of Mathematical Logic. [REVIEW] Journal of Symbolic Logic 14 (1):62-63.
  16.  4
    S. C. Kleene, Ernest Nagel, Patrick Suppes & Alfred Tarski (1970). Turing-Machine Computable Functionals of Finite Types I. Journal of Symbolic Logic 35 (4):588-589.
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  17.  4
    S. C. Kleene (1937). Review: Adolphe Lindenbaum, Sur la Simplicite Formelle des Notions. [REVIEW] Journal of Symbolic Logic 2 (1):55-56.
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  18.  7
    Timothy Smiley, Frederic B. Fitch, Shih-Chao Liu, S. C. Kleene, Keith Lehrer, Thomas E. Patton, Maria Kokoszynska, Arto Salomaa, Abraham Robinson & Gerald E. Sacks (2013). The Journal of Symbolic Logic Publishes Original Scholarly Work in Symbolic Logic. Founded in 1936, It has Become the Leading Research Journal in the Field. The Journal Aims to Represent Logic Broadly, Including its Connections with Mathematics and Philosophy as Well as Newer Aspects Related to Computer Science and Linguistics. [REVIEW] Journal of Symbolic Logic 175 (176).
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  19.  12
    Stephen C. Kleene (1976). The Work of Kurt Gödel. Journal of Symbolic Logic 41 (4):761-778.
  20.  1
    S. C. Kleene, W. Craig & R. L. Vaught (1971). Finite Axiomatizability of Theories in the Predicate Calculus Using Additional Predicate Symbols. Journal of Symbolic Logic 36 (2):334-335.
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  21.  3
    S. C. Kleene (1939). Review: A. G. D. Watson, Mathematics and Its Foundations. [REVIEW] Journal of Symbolic Logic 4 (3):130-131.
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  22.  6
    S. C. Kleene (1938). Third Meeting of the Association for Symbolic Logic. Journal of Symbolic Logic 3 (1):59-60.
  23.  2
    S. C. Kleene (1985). Unimonotone Functions of Finite Types (Recursive Functionals and Quantifiers of Finite Types Revisited IV). In Anil Nerode & Richard A. Shore (eds.), Recursion Theory. American Mathematical Society 42--119.
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  24.  11
    Stephen C. Kleene (1978). An Addendum to the Work of Kurt Gödel. Journal of Symbolic Logic 43 (3):613.
  25.  3
    S. C. Kleene (1939). Review: Rudolf Carnap, The Logical Syntax of Language. [REVIEW] Journal of Symbolic Logic 4 (2):82-87.
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  26.  3
    S. C. Kleene (1948). Review: Kurt Godel, What is Cantor's Continuum Problem? [REVIEW] Journal of Symbolic Logic 13 (2):116-117.
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  27.  2
    S. C. Kleene (1948). Review: E. W. Beth, Semantical Considerations on Intuitionistic Mathematics. [REVIEW] Journal of Symbolic Logic 13 (3):173-173.
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  28.  2
    S. C. Kleene (1957). Review: E. W. Beth, Semantic Construction of Intuitionistic Logic. [REVIEW] Journal of Symbolic Logic 22 (4):363-365.
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  29.  1
    Alonzo Church & S. C. Kleene (1937). Formal Definitions in the Theory of Ordinal Numbers. Journal of Symbolic Logic 2 (2):87-87.
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  30.  1
    S. C. Kleene (1939). Review: Arnold Reymond, La Negation Et le Principe du Tiers Exclu. [REVIEW] Journal of Symbolic Logic 4 (2):99-100.
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  31.  1
    W. V. Quine & S. C. Kleene (1958). A Theorem on Parametric Boolean Functions. Journal of Symbolic Logic 23 (1):58-59.
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  32.  1
    S. C. Kleene (1937). Review: Ch. Perelman, L'Antinomie de M. Godel. [REVIEW] Journal of Symbolic Logic 2 (1):40-41.
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  33.  2
    S. C. Kleene (1949). Review: Frederic B. Fitch, An Extension of Basic Logic. [REVIEW] Journal of Symbolic Logic 14 (1):68-69.
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  34.  2
    S. C. Kleene (1940). Review: Rozsa Peter, Contribution to Recursive Number Theory. [REVIEW] Journal of Symbolic Logic 5 (2):70-71.
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  35.  2
    S. C. Kleene (1940). Review: Laszlo Kalmar, On the Possibility of Definition by Recursion. [REVIEW] Journal of Symbolic Logic 5 (2):70-70.
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  36.  2
    Sc Kleene, El Post, M. Kline, M. Lerman, L. Lowenheim, D. Normann, P. Odifreddi, G. Peano, Cs Peirce & R. Penrose (1999). R. PETER [1934] Uber den Zussammenhang der verschiedenen Begriffe der rekursiven Funktion, Math. Ann. In Edward R. Griffor (ed.), Handbook of Computability Theory. Elsevier 34.
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  37.  2
    S. C. Kleene (1952). Review: Alonzo Church, The Calculi of Lambda-Conversion. [REVIEW] Journal of Symbolic Logic 17 (1):76-76.
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  38.  1
    S. C. Kleene (1950). Review: Frederic B. Fitch, The Heine-Borel Theorem in Extended Basic Logic. [REVIEW] Journal of Symbolic Logic 15 (2):137-137.
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  39.  1
    S. C. Kleene (1936). Review: H. B. Curry, First Properties of Functionality in Combinatory Logic. [REVIEW] Journal of Symbolic Logic 1 (2):65-65.
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  40.  1
    S. C. Kleene (1937). Review: Rozsa Peter, Uber die Mehrfache Rekursion. [REVIEW] Journal of Symbolic Logic 2 (1):57-57.
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  41.  1
    S. C. Kleene (1948). Review: K. R. Popper, Functional Logic Without Axioms or Primitive Rules of Inference. [REVIEW] Journal of Symbolic Logic 13 (3):173-174.
  42. S. C. Kleene (1965). Classical Extensions of Intuitionistic Mathematics. In Yehoshua Bar-Hillel (ed.), Logic, Methodology and Philosophy of Science. Amsterdam, North-Holland Pub. Co. 2--31.
     
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  43.  1
    S. C. Kleene (1941). Review: William Wernick, Functional Dependence in the Calculus of Propositions. [REVIEW] Journal of Symbolic Logic 6 (1):37-37.
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  44.  1
    S. C. Kleene (1940). Review: D. Hilbert, P. Bernays, Grundlagen der Mathematik. [REVIEW] Journal of Symbolic Logic 5 (1):16-20.
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  45. Stephen C. Kleene (1962). Realizability and Shanin's Algorithm for the Constructive Deciphering of Mathematical Sentences. Journal of Symbolic Logic 27 (2):243-244.
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  46.  1
    S. C. Kleene (1947). Review: Emil L. Post, Recursive Unsolvability of a Problem of Thue. [REVIEW] Journal of Symbolic Logic 12 (3):90-91.
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  47. John N. Crossley, Andrew Hodges, Rolf Herken, Stephen C. Kleene, Robin Gandy, Solomon Feferman, Martin Davis & Esther R. Phillips (1991). Alan Turing and the Turing Machine.Turing's Analysis of Computability, and Major Applications of It.The Confluence of Ideas in 1936.Turing in the Land of O.Mathematical Logic and the Origin of Modern Computers. [REVIEW] Journal of Symbolic Logic 56 (3):1089.
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  48. Martin Davis, Kurt Godel & Stephen C. Kleene (1990). On Undecidable Propositions of Formal Mathematical Systems .PostscriptumIntroductory Note to 1934. Journal of Symbolic Logic 55 (1):347.
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  49. Solomon Feferman, John W. Dawson, Stephen C. Kleene, Gregory H. Moore & Robert M. Solovay (1987). Collected Works, Volume I, Publications 1929-1936. Mind 96 (384):570-575.
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  50. Solomon Feferman, John W. Dawson, Stephen C. Kleene, Gregory H. Moore & Robert M. Solovay (1998). Kurt Gödel: Collected Works, Vol. I: Publications 1929-1936. Mind 107 (425):219-232.
     
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