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G. Kreisel [111]Georg Kreisel [36]
  1. Informal Rigour and Completeness Proofs.Georg Kreisel - 1967 - In Imre Lakatos (ed.), Problems in the Philosophy of Mathematics. North-Holland. pp. 138--157.
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  2.  34
    Reflection Principles and Their Use for Establishing the Complexity of Axiomatic Systems.Georg Kreisel & Azriel Lévy - 1968 - Zeitschrift für Mathematische Logic Und Grundlagen der Mathematik 14 (1):97--142.
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  3.  25
    Reflection Principles and Their Use for Establishing the Complexity of Axiomatic Systems.G. Kreisel & A. Lévy - 1968 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 14 (7-12):97-142.
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  4.  15
    Formal Systems for Some Branches of Intuitionistic Analysis.G. Kreisel & A. S. Troelstra - 1970 - Annals of Mathematical Logic 1 (3):229-387.
  5. Interpretation of Analysis by Means of Constructive Functionals of Finite Types.Georg Kreisel - 1959 - In A. Heyting (ed.), Constructivity in Mathematics. Amsterdam: North-Holland Pub. Co.. pp. 101--128.
     
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  6.  66
    A Survey of Proof Theory.G. Kreisel - 1968 - Journal of Symbolic Logic 33 (3):321-388.
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  7. Wittgenstein's Remarks on the Foundations of Mathematics. [REVIEW]G. Kreisel - 1958 - British Journal for the Philosophy of Science 9 (34):135-158.
  8.  81
    A Notion of Mechanistic Theory.G. Kreisel - 1974 - Synthese 29 (1-4):11 - 26.
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  9.  55
    1 — Consistency and Faithful Interpretations.S. Feferman, G. Kreisel & S. Orey - forthcoming - Archive for Mathematical Logic.
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  10.  85
    Church's Thesis and the Ideal of Informal Rigour.Georg Kreisel - 1987 - Notre Dame Journal of Formal Logic 28 (4):499-519.
  11.  20
    Metarecursive Sets.G. Kreisel & Gerald E. Sacks - 1965 - Journal of Symbolic Logic 30 (3):318-338.
  12.  21
    Mathematical Logic.Georg Kreisel - 1967 - Journal of Symbolic Logic 32 (3):419-420.
  13.  1
    Eine Unableitbarkeitsbeweismethode für den intuitionistischen Aussagenkalkul.G. Kreisel - 1957 - Archive for Mathematical Logic 3 (3/4):74.
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  14. Formal Systems for Some Branches of Intuitionistic Analysis.G. Kreisel - 1970 - Annals of Pure and Applied Logic 1 (3):229.
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  15.  21
    On Weak Completeness of Intuitionistic Predicate Logic.G. Kreisel - 1962 - Journal of Symbolic Logic 27 (2):139-158.
  16.  9
    Elements of Mathematical Logic.Georg Kreisel - 1967 - Amsterdam: North Holland Pub. Co..
  17.  28
    On the Interpretation of Non-Finitist Proofs: Part II. Interpretation of Number Theory. Applications.G. Kreisel - 1952 - Journal of Symbolic Logic 17 (1):43-58.
  18.  27
    On the Interpretation of Non-Finitist Proofs--Part I.G. Kreisel - 1951 - Journal of Symbolic Logic 16 (4):241-267.
  19.  15
    Transfinite Induction and Bar Induction of Types Zero and One, and the Role of Continuity in Intuitionistic Analysis.W. A. Howard & G. Kreisel - 1966 - Journal of Symbolic Logic 31 (3):325-358.
  20.  4
    Some Reasons for Generalizing Recursion Theory.G. Kreisel, R. O. Gandy & C. E. M. Yates - 1975 - Journal of Symbolic Logic 40 (2):230-232.
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  21.  71
    Second Thoughts Around Some of Göde's Writings:.G. Kreisel - 1998 - Synthese 114 (1):99-160.
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  22.  17
    Two Notes on the Foundations of Set‐Theory.G. Kreisel - 1969 - Dialectica 23 (2):93-114.
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  23.  16
    Foundations of Intuitionistic Logic.G. Kreisel - 1965 - Journal of Symbolic Logic 30 (2):243-244.
  24. Mathematical Interpretation of Formal Systems.Th Skolem, G. Hasenjaeger, G. Kreisel, A. Robinson, H. Wang, L. Henkin & J. Łoś (eds.) - 1955 - North-Holland Pub. Co..
  25.  30
    Problems.Heinrich Scholz, G. Kreisel & Leon Henkin - 1952 - Journal of Symbolic Logic 17 (2):160.
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  26.  15
    Which Number Theoretic Problems Can Be Solved in Recursive Progressions on Π 1/1-Paths Through O?G. Kreisel - 1972 - Journal of Symbolic Logic 37 (2):311-334.
  27.  24
    The Collected Papers of Gerhard Gentzen. [REVIEW]G. Kreisel - 1971 - Journal of Philosophy 68 (8):238-265.
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  28.  76
    Mathematical Logic: Tool and Object Lesson for Science.Georg Kreisel - 1985 - 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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  29.  4
    Pour-El Marian Boykan and Richards Ian. A Computable Ordinary Differential Equation Which Possesses No Computable Solution, Annals of Mathematical Logic, Vol. 17 , Pp. 61–90.Pour-El Marian Boykan and Richards Ian. The Wave Equation with Computable Initial Data Such That its Unique Solution is Not Computable. Advances in Mathematics, Vol. 39 , Pp. 215–239. [REVIEW]G. Kreisel - 1982 - Journal of Symbolic Logic 47 (4):900-902.
  30.  12
    Number Theoretic Concepts and Recursive Well-Orderings.G. Kreisel, J. Shoenfield & Hao Wang - 1966 - Journal of Symbolic Logic 31 (3):511-512.
  31.  23
    A Remark on Free Choice Sequences and the Topological Completeness Proofs.G. Kreisel - 1958 - Journal of Symbolic Logic 23 (4):369-388.
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  32. Principles of Proof, Etc.G. Kreisel - 1970 - In A. Kino, John Myhill & Richard Eugene Vesley (eds.), Intuitionism and Proof Theory. Amsterdam: North-Holland Pub. Co.. pp. 489--5.
     
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  33.  39
    Frege's Foundations and Intuitional Logic.G. Kreisel - 1984 - The Monist 67 (1):72-91.
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  34.  5
    Eine Unableitbarkeitsbeweismethode Für den Intuitionistischen Aussagenkalkül.G. Kreisel & H. Putnam - 1958 - Journal of Symbolic Logic 23 (2):229-229.
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  35.  50
    A Variant to Hilbert's Theory of the Foundations of Arithmetic.G. Kreisel - 1953 - 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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  36. On the Interpretation of Non-Finitist Proofs–Part II.G. Kreisel - 1952 - Journal of Symbolic Logic 17 (1):43-58.
  37.  35
    Mathematical Significance of Consistency Proofs.G. Kreisel - 1958 - Journal of Symbolic Logic 23 (2):155-182.
  38.  11
    Hilbert's programme.Georg Kreisel - 1958 - 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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  39.  55
    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]Georg Kreisel - 1991 - Journal of Symbolic Logic 56 (3):1085-1089.
  40.  9
    Set Existence.R. O. Gandy, G. Kreisel & W. W. Tait - 1962 - Journal of Symbolic Logic 27 (2):232-233.
  41.  2
    Persistent and Invariant Formulas Relative to Theories of Higher Order.S. Feferman, G. Kreisel & Solomon Feferman - 1972 - Journal of Symbolic Logic 37 (4):764-765.
  42.  8
    Mathematical Problems. Lecture Delivered Before the International Congress of Mathematicians at Paris in 1900.David Hilbert, Mary Winston Newsom, Felix E. Browder, Donald A. Martin, G. Kreisel & Martin Davis - 1979 - Journal of Symbolic Logic 44 (1):116-119.
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  43.  17
    Finite Definability of Number-Theoretic Functions and Parametric Completeness of Equational Calculi.Georg Kreisel & William W. Tait - 1961 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 7 (1-5):28-38.
  44.  32
    The Motto of 'Philosophical Investigations' and the Philosophy of Proofs and Rules.Georg Kreisel - 1978 - 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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  45.  10
    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]G. Kreisel - 1982 - Journal of Symbolic Logic 47 (4):900-902.
  46.  12
    Formally Self-Referential Propositions for Cut Free Analysis and Related Systems.Georg Kreisel & Gaisi Takeuti - 1985 - Journal of Symbolic Logic 50 (1):244-246.
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  47.  13
    On a Problem of Henkin's.G. Kreisel - 1954 - Journal of Symbolic Logic 19 (3):219-220.
  48.  47
    Some Uses of Mathematics.G. Kreisel - 1956 - British Journal for the Philosophy of Science 7 (26):161-173.
  49.  4
    The Axiom of Choice and the Class of Hyperarithmetic Functions.G. Kreisel - 1970 - Journal of Symbolic Logic 35 (2):333-334.
  50. D. Van Dalen, Ed., Brouwer's Cambridge Lectures On Intuitionism. [REVIEW]G. Kreisel - 1982 - Philosophy in Review 2:249-251.
     
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