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G. Kreisel [77]Georg Kreisel [25]
  1.  80
    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.  37
    S. Feferman, G. Kreisel & S. Orey (forthcoming). 1 — Consistency and Faithful Interpretations. Archive for Mathematical Logic.
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  3.  53
    G. Kreisel (1968). A Survey of Proof Theory. Journal of Symbolic Logic 33 (3):321-388.
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  4.  7
    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. 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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  6.  15
    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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  7.  93
    G. Kreisel (1958). Wittgenstein's Remarks on the Foundations of Mathematics. [REVIEW] British Journal for the Philosophy of Science 9 (34):135-158.
  8.  10
    G. Kreisel & Gerald E. Sacks (1965). Metarecursive Sets. Journal of Symbolic Logic 30 (3):318-338.
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  9.  11
    G. Kreisel (1962). On Weak Completeness of Intuitionistic Predicate Logic. Journal of Symbolic Logic 27 (2):139-158.
  10. 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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  11.  34
    G. Kreisel (1974). A Notion of Mechanistic Theory. Synthese 29 (1-4):11 - 26.
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  12.  66
    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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  13.  1
    Georg Kreisel (1967). Elements of Mathematical Logic. Amsterdam, North Holland Pub. Co..
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  14.  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.
  15.  24
    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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  16.  21
    G. Kreisel (1951). On the Interpretation of Non-Finitist Proofs--Part I. Journal of Symbolic Logic 16 (4):241-267.
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  17.  55
    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, (...)
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  18.  8
    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.
  19.  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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  20.  4
    G. Kreisel (1954). On a Problem of Henkin's. Journal of Symbolic Logic 19 (3):219-220.
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  21.  19
    Heinrich Scholz, G. Kreisel & Leon Henkin (1952). Problems. Journal of Symbolic Logic 17 (2):160.
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  22.  3
    G. Kreisel (1969). Two Notes on the Foundations of Set‐Theory. Dialectica 23 (2):93-114.
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  23.  24
    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 statements of (...)
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  24.  13
    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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  25. 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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  26. 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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  27.  45
    G. Kreisel (1998). Second Thoughts Around Some of Göde's Writings:. Synthese 114 (1):99-160.
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  28.  1
    Georg Kreisel (1975). Review: Solomon Feferman, Ordinals and Functionals in Proof Theory. [REVIEW] Journal of Symbolic Logic 40 (4):625-626.
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  29.  39
    G. Kreisel (1960). Review: Wittgenstein's Theory and Practice of Philosophy. [REVIEW] British Journal for the Philosophy of Science 11 (43):238 - 251.
  30.  38
    G. Kreisel (1956). Some Uses of Mathematics. British Journal for the Philosophy of Science 7 (26):161-173.
  31.  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.
  32.  22
    G. Kreisel (1958). Mathematical Significance of Consistency Proofs. Journal of Symbolic Logic 23 (2):155-182.
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  33.  3
    Georg Kreisel (1972). Review: Hilary Putnam, Mathematics Without Foundations. [REVIEW] Journal of Symbolic Logic 37 (2):402-404.
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  34.  0
    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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  35.  16
    G. Kreisel (1984). Frege's Foundations and Intuitional Logic. The Monist 67 (1):72-91.
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  36.  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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  37.  9
    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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  38.  1
    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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  39.  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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  40.  4
    G. Kreisel (1953). Review: Erik Stenius, Das Interpretationsproblem der Formalisierten Zahlentheorie und ihre Formale Widerspruchsfreiheit. [REVIEW] Journal of Symbolic Logic 18 (3):262-263.
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  41.  0
    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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  42.  7
    G. Kreisel (1985). Wolfgang Stegmüller und Matthias Varga Von Kibed: Strukturtypen der Logik. Grazer Philosophische Studien 24:185-195.
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  43. Georg Kreisel & J. L. Krivine (1967). Éléments de Logique Mathématique Théorie des Modèles. Dunod.
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  44.  21
    G. Kreisel (1953). The Diagonal Method in Formalized Arithmetic. [REVIEW] British Journal for the Philosophy of Science 3 (12):364-374.
  45.  1
    G. Kreisel (1970). Review: Saul A. Kripke, J. N. Crossley, M. A. E. Dummett, Semantical Analysis of Intuitionistic Logic I. [REVIEW] Journal of Symbolic Logic 35 (2):330-332.
  46.  1
    Georg Kreisel (1970). Review: S. Ju. Maslov, G. E. Minc, V. P. Orevkov, E. Mendelson, Unsolvability in the Constructive Predicate Calculus of Certain Classes of Formulas Containing Only Monadic Predicate Variables. [REVIEW] Journal of Symbolic Logic 35 (1):143-144.
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  47.  0
    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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  48.  1
    G. Kreisel (1952). Review: Paul Bernays, Uber das Induktionsschema in der Rekursiven Zahlentheorie. [REVIEW] Journal of Symbolic Logic 17 (4):272-273.
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  49.  0
    Georg Kreisel (1967). Mathematical Logic. Journal of Symbolic Logic 32 (3):419-420.
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  50. G. Kreisel (1967). What Can Be Done for Mathematical Logic. In Ralph Schoenman (ed.), Bertrand Russell: Philosopher of the Century. 273--303.
     
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