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G. Kreisel [79]Georg Kreisel [25]
  1.  98
    Georg Kreisel (1972). Informal Rigour and Completeness Proofs. In Imre Lakatos (ed.), Problems in the Philosophy of Mathematics. North-Holland 138--157.
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  2.  53
    G. Kreisel (1968). A Survey of Proof Theory. Journal of Symbolic Logic 33 (3):321-388.
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  3.  17
    Georg Kreisel & Azriel Lévy (1968). Reflection Principles and Their Use for Establishing the Complexity of Axiomatic Systems. Zeitschrift für Mathematische Logic Und Grundlagen der Mathematik 14 (1):97--142.
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  4.  8
    G. Kreisel & A. S. Troelstra (1970). Formal Systems for Some Branches of Intuitionistic Analysis. Annals of Mathematical Logic 1 (3):229-387.
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  5.  11
    G. Kreisel (1971). The Collected Papers of Gerhard Gentzen. [REVIEW] Journal of Philosophy 68 (8):238-265.
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  6.  39
    S. Feferman, G. Kreisel & S. Orey (forthcoming). 1 — Consistency and Faithful Interpretations. Archive for Mathematical Logic.
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  7. Georg Kreisel (1959). Interpretation of Analysis by Means of Constructive Functionals of Finite Types. In A. Heyting (ed.), Constructivity in Mathematics. Amsterdam, North-Holland Pub. Co. 101--128.
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  8. G. Kreisel (1958). Wittgenstein's Remarks on the Foundations of Mathematics. [REVIEW] British Journal for the Philosophy of Science 9 (34):135-158.
  9.  72
    Georg Kreisel (1987). Church's Thesis and the Ideal of Informal Rigour. Notre Dame Journal of Formal Logic 28 (4):499-519.
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  10.  35
    G. Kreisel (1974). A Notion of Mechanistic Theory. Synthese 29 (1-4):11 - 26.
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  11.  2
    Georg Kreisel (1967). Elements of Mathematical Logic. Amsterdam, North Holland Pub. Co..
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  12. Th Skolem, G. Hasenjaeger, G. Kreisel, A. Robinson, H. Wang, L. Henkin & J. Łoś (eds.) (1971). Mathematical Interpretation of Formal Systems. North-Holland Pub. Co..
     
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  13.  10
    G. Kreisel & Gerald E. Sacks (1965). Metarecursive Sets. Journal of Symbolic Logic 30 (3):318-338.
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  14.  9
    W. A. Howard & G. Kreisel (1966). Transfinite Induction and Bar Induction of Types Zero and One, and the Role of Continuity in Intuitionistic Analysis. Journal of Symbolic Logic 31 (3):325-358.
  15.  12
    G. Kreisel (1962). On Weak Completeness of Intuitionistic Predicate Logic. Journal of Symbolic Logic 27 (2):139-158.
  16.  27
    Georg Kreisel (1978). The Motto of 'Philosophical Investigations' and the Philosophy of Proofs and Rules. Grazer Philosophische Studien 6:13-38.
    Ausgangspunkt dieses Artikels ist die Einsicht, die auch von Wittgenstein und der "schweigenden Mehrheit" geteilt wird, daß die meisten sogenannten fundamentalen Begriffe und Probleme der Philosophie erkenntnistheoretisch unrentabel sind, insbesondere der Begriff der Gültigkeit (von Beweis- und Rechenregeln) und seine traditionelle Problematik. Im Gegensatz zu Wittgenstein wird diese Einsicht aber nicht auf "Sinnlosigkeit", d.h. Präzisionsunfähigkeitjener Problematik, sondern auf ihre Oberflächl d.h. unangemessene Allgemeinheit, zurückgeführt.
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  17. G. Kreisel, R. O. Gandy & C. E. M. Yates (1975). Some Reasons for Generalizing Recursion Theory. Journal of Symbolic Logic 40 (2):230-232.
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  18.  24
    G. Kreisel (1951). On the Interpretation of Non-Finitist Proofs--Part I. Journal of Symbolic Logic 16 (4):241-267.
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  19.  42
    Georg Kreisel (1991). Review: Kurt Godel, Solomon Feferman, John W. Dawson, Stephen C. Kleene, Gregory H. Moore, Robert M. Solovay, Jean van Heijenoort, Collected Works of Kurt Godel 1938-1974. [REVIEW] Journal of Symbolic Logic 56 (3):1085-1089.
  20.  56
    Georg Kreisel (1985). Mathematical Logic: Tool and Object Lesson for Science. Synthese 62 (2):139-151.
    The object lesson concerns the passage from the foundational aims for which various branches of modern logic were originally developed to the discovery of areas and problems for which logical methods are effective tools. The main point stressed here is that this passage did not consist of successive refinements, a gradual evolution by adaptation as it were, but required radical changes of direction, to be compared to evolution by migration. These conflicts are illustrated by reference to set theory, model theory, (...)
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  21.  46
    G. Kreisel (1998). Second Thoughts Around Some of Göde's Writings:. Synthese 114 (1):99-160.
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  22. Georg Kreisel (1967). Mathematical Logic. Journal of Symbolic Logic 32 (3):419-420.
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  23.  19
    Heinrich Scholz, G. Kreisel & Leon Henkin (1952). Problems. Journal of Symbolic Logic 17 (2):160.
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  24.  4
    G. Kreisel (1969). Two Notes on the Foundations of Set‐Theory. Dialectica 23 (2):93-114.
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  25.  1
    G. Kreisel & H. Putnam (1958). Eine Unableitbarkeitsbeweismethode Für den Intuitionistischen Aussagenkalkül. Journal of Symbolic Logic 23 (2):229-229.
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  26.  1
    G. Kreisel (1965). Foundations of Intuitionistic Logic. Journal of Symbolic Logic 30 (2):243-244.
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  27.  26
    G. Kreisel (1953). A Variant to Hilbert's Theory of the Foundations of Arithmetic. British Journal for the Philosophy of Science 4 (14):107-129.
    IN Hilbert's theory of the foundations of any given branch of mathematics the main problem is to establish the consistency (of a suitable formalisation) of this branch. Since the (intuitionist) criticisms of classical logic, which Hilbert's theory was intended to meet, never even alluded to inconsistencies (in classical arithmetic), and since the investigations of Hilbert's school have always established much more than mere consistency, it is natural to formulate another general problem in the foundations of mathematics: to translate (...)
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  28.  1
    R. O. Gandy, G. Kreisel & W. W. Tait (1962). Set Existence. Journal of Symbolic Logic 27 (2):232-233.
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  29.  16
    G. Kreisel (1984). Frege's Foundations and Intuitional Logic. The Monist 67 (1):72-91.
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  30.  25
    G. Kreisel (1952). On the Interpretation of Non-Finitist Proofs: Part II. Interpretation of Number Theory. Applications. Journal of Symbolic Logic 17 (1):43-58.
  31.  15
    G. Kreisel (1958). A Remark on Free Choice Sequences and the Topological Completeness Proofs. Journal of Symbolic Logic 23 (4):369-388.
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  32.  6
    G. Kreisel (1982). Review: Marian Boykan Pour-El, Ian Richards, A Computable Ordinary Differential Equation with Possesses No Computable Solution; Marian Boykan Pour-El, Ian Richards, The Wave Equation with Computable Initial Data Such That its Unique Solution is Not Computable. [REVIEW] Journal of Symbolic Logic 47 (4):900-902.
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  33.  10
    G. Kreisel (1972). Which Number Theoretic Problems Can Be Solved in Recursive Progressions on Π 1/1-Paths Through O? Journal of Symbolic Logic 37 (2):311-334.
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  34.  5
    G. Kreisel (1954). On a Problem of Henkin's. Journal of Symbolic Logic 19 (3):219-220.
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  35.  23
    G. Kreisel (1958). Mathematical Significance of Consistency Proofs. Journal of Symbolic Logic 23 (2):155-182.
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  36. G. Kreisel (1970). Principles of Proof, Etc. In A. Kino, John Myhill & Richard Eugene Vesley (eds.), Intuitionism and Proof Theory. Amsterdam,North-Holland Pub. Co. 489--5.
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  37.  4
    Georg Kreisel (2011). Logical Hygiene, Foundations, and Abstractions: Diversity Among Aspects and Options. In Matthias Baaz (ed.), Kurt Gödel and the Foundations of Mathematics: Horizons of Truth. Cambridge University Press 27.
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  38.  42
    G. Kreisel (1960). Review: Wittgenstein's Theory and Practice of Philosophy. [REVIEW] British Journal for the Philosophy of Science 11 (43):238 - 251.
  39. G. Kreisel, J. Shoenfield & Hao Wang (1966). Number Theoretic Concepts and Recursive Well-Orderings. Journal of Symbolic Logic 31 (3):511-512.
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  40.  40
    G. Kreisel (1956). Some Uses of Mathematics. British Journal for the Philosophy of Science 7 (26):161-173.
  41.  1
    David Hilbert, Mary Winston Newsom, Felix E. Browder, Donald A. Martin, G. Kreisel & Martin Davis (1979). Mathematical Problems. Lecture Delivered Before the International Congress of Mathematicians at Paris in 1900. Journal of Symbolic Logic 44 (1):116-119.
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  42.  1
    Georg Kreisel (1958). Hilbert's programme. Dialectica 12 (3‐4):346-372.
    Hilbert's plan for understanding the concept of infinity required the elimination of non‐finitist machinery from proofs of finitist assertions. The failure of the original plan leads to a hierarchy of progressively less elementary, but still constructive methods instead of finitist ones . A mathematical proof of this failure requires a definition of « finitist ».—The paper sketches the three principal methods for the syntactic analysis of non‐constructive mathematics, the resulting consistency proofs and constructive interpretations, modelled on Herbrand's theorem, and their (...)
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  43. S. Feferman, G. Kreisel & Solomon Feferman (1972). Persistent and Invariant Formulas Relative to Theories of Higher Order. Journal of Symbolic Logic 37 (4):764-765.
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  44. G. Kreisel (1967). Reply to Professor Bar-Hillel. In Imre Lakatos (ed.), Problems in the Philosophy of Mathematics. Amsterdam, North-Holland Pub. Co. 175--178.
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  45.  28
    G. Kreisel (1958). Elementary Completeness Properties of Intuitionistic Logic with a Note on Negations of Prenex Formulae. Journal of Symbolic Logic 23 (3):317-330.
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  46.  22
    Georg Kreisel (1987). Book Review: Collected Works, Vol. I [Oxford Univ. Press, New York, 1986] by K. Gödel. [REVIEW] Notre Dame Journal of Formal Logic 29 (1):160-181.
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  47.  4
    Georg Kreisel (1972). Review: Hilary Putnam, Mathematics Without Foundations. [REVIEW] Journal of Symbolic Logic 37 (2):402-404.
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  48. G. Kreisel (1970). The Axiom of Choice and the Class of Hyperarithmetic Functions. Journal of Symbolic Logic 35 (2):333-334.
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  49. Georg Kreisel & Daniel Lacombe (1966). Ensembles Récursivement Mesurable Et Ensembles Récursivement Ouverts Ou Fermés. Journal of Symbolic Logic 31 (1):133-133.
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  50.  18
    G. Kreisel (1990). Review of K. Gödel's Collected Works, Vol. II [Oxford Univ. Press, New York, 1990]. [REVIEW] Notre Dame Journal of Formal Logic 31 (4):602-641.
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