104 found
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  1.  32
    Stephen Cole Kleene (1952). Introduction to Metamathematics. North Holland.
  2.  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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  3. S. C. Kleene (1938). On Notation for Ordinal Numbers. Journal of Symbolic Logic 3 (4):150-155.
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  4. S. C. Kleene (1963). An Addendum: Disjunction and Existence Under Implication in Elementary Intuitionistic Formalisms. Journal of Symbolic Logic 28 (2):154-156.
  5. Stephen Cole Kleene (1965). The Foundations of Intuitionistic Mathematics. Amsterdam, North-Holland Pub. Co..
     
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  6.  68
    S. C. Kleene (1945). On the Interpretation of Intuitionistic Number Theory. Journal of Symbolic Logic 10 (4):109-124.
  7.  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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  8.  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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  9.  15
    Stephen C. Kleene (1987). Reflections on Church's Thesis. Notre Dame Journal of Formal Logic 28 (4):490-498.
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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.  10
    S. C. Kleene (1962). Disjunction and Existence Under Implication in Elementary Intuitionistic Formalisms. Journal of Symbolic Logic 27 (1):11-18.
  12. Solomon Feferman, John Dawson & Stephen Kleene (eds.) (1990). Kurt Gödel: Collected Works Vol. Ii. Oxford University Press.
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  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.  8
    Stephen C. Kleene & Martin Davis (1990). Origins of Recursive Function Theory. Journal of Symbolic Logic 55 (1):348-350.
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  15.  1
    S. C. Kleene (1941). Curry Haskell B.. Some Aspects of the Problem of Mathematical Rigor. Bulletin of the American Mathematical Society, Vol. 47 , Pp. 221–241. [REVIEW] Journal of Symbolic Logic 6 (3):100-102.
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  16.  1
    S. C. Kleene (1949). Popper K. R.. On the Theory of Deduction, Part I. Derivation and its Generalizations. Koninklijke Nederlandsche Akademie van Wetenschappen, Proceedings of the Section of Sciences, Vol. 51 , Pp. 173–183; Also Indagationes Mathematicae, Vol. 10 , Pp. 44–54.Popper K. R.. On the Theory of Deduction, Part II. The Definitions of Classical and Intuitionist Negation. Koninklijke Nederlandsche Akademie van Wetenschappen, Proceedings of the Section of Sciences, Vol. 51 , Pp. 322–331; Also Ibid., Pp. 111–120.Popper K. R.. The Trivialization of Mathematical Logic. Library of the Xlh International Congress of Philosophy . Vol. I. Proceedings of the Congress. Preprint 1948, Pp. 510–515. [REVIEW] Journal of Symbolic Logic 14 (1):62-63.
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  17.  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.
  18.  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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  19.  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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  20.  6
    S. C. Kleene (1938). Third Meeting of the Association for Symbolic Logic. Journal of Symbolic Logic 3 (1):59-60.
  21.  12
    Stephen C. Kleene (1976). The Work of Kurt Gödel. Journal of Symbolic Logic 41 (4):761-778.
  22.  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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  23.  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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  24.  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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  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.  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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  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.  11
    Stephen C. Kleene (1978). An Addendum to the Work of Kurt Gödel. Journal of Symbolic Logic 43 (3):613.
  29.  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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  30.  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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  31.  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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  32.  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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  33.  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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  34. 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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  35.  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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  36.  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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  37. 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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  38.  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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  39.  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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  40.  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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  41.  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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  42.  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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  43.  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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  44.  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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  45.  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.
  46.  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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  47.  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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  48.  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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  49. 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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  50. 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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