Georg Kreisel - Author Profile

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Kreisel, Georg (b. 1923 d. 2015)

Author ID:	kreisel.georg
Published as:	Kreisel, Georg; Kreisel, G.
External Links:	MacTutor · MGP · Wikidata · dblp · GND · IdRef

Documents Indexed:	97 Publications since 1949, including 6 Books
	7 Further Contributions
Reviewing Activity:	75 Reviews
Biographic References:	16 Publications
Co-Authors:	23 Co-Authors with 29 Joint Publications
	436 Co-Co-Authors

all top 5

Co-Authors

72	single-authored
5	Wang, Hao
4	Krivine, Jean-Louis
4	Lacombe, Daniel
4	Shönfield, Joseph R.
3	Feferman, Solomon
3	Takeuti, Gaisi
2	Baaz, Matthias
2	Bernays, Paul
2	Hintikka, Jaakko
2	Macintyre, Angus John
2	Putnam, Hilary Whitehall
2	Robinson, Abraham
2	Simpson, Stephen G.
2	Tait, William Walker
2	Troelstra, Anne Sjerp
1	Agazzi, Evandro
1	Ayer, A. J.
1	Belnap, Nuel D. jun.
1	Benacerraf, Paul
1	Beth, Evert Willem
1	Bocheński, Józef Maria
1	Boolos, George S.
1	Brouwer, Luitzen Egbertus Jan
1	Carnap, Rudolf
1	Casari, Ettore
1	Castro Perelman, Carlos
1	Curry, Haskell Brooks
1	Dalla Chiara, Maria Luisa
1	Dummett, Michael Anthony Eardley
1	Easley, J. A. jun.
1	Ehrenfeucht, Andrzej
1	Fenstad, Jens Erik
1	Frege, Gottlob
1	Gandy, Robin O.
1	Gödel, Kurt
1	Hasenjaeger, Gisbert
1	Hempel, Carl Gustav
1	Henkin, Leon Albert
1	Hermes, Hans
1	Heyting, Arend
1	Hilbert, David
1	Howard, William Alvin
1	Körner, Stephan
1	Lakatos, Imre
1	Lejewski, Czesław
1	Levy, Azriel
1	Łoś, Jerzy
1	Massey, Gerald J.
1	Mints, Grigoriĭ Efroimovich
1	Mostowski, Andrzej Stanisław
1	Orey, Steven
1	Pohlers, Wolfram
1	Poincaré, Henri
1	Pudlák, Pavel
1	Quine, Willard Van Orman
1	Reyes, Gonzalo E.
1	Russell, Bertrand
1	Sacks, Gerald Enoch
1	Schütte, Kurt
1	Skolem, Thoralf
1	Sommers, Fred
1	Stalnaker, Robert C.
1	Stavi, Jonathan
1	Surma, Stanislaw J.
1	van Fraassen, Bas C.
1	von Neumann, John
1	von Wright, Georg Henrik
1	Wojtylak, Piotr

all top 5

Serials

10	The Journal of Symbolic Logic
4	Archiv für Mathematische Logik und Grundlagenforschung
4	Fundamenta Mathematicae
4	Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques
3	Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
2	The Mathematical Gazette
2	Compositio Mathematica
2	Dialectica
2	Synthese
2	Zeitschrift für Mathematische Logik und Grundlagen der Mathematik
2	Annals of Pure and Applied Logic
2	Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
1	Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1	Uspekhi Matematicheskikh Nauk [N. S.]
1	Acta Philosophica Fennica
1	Annals of Mathematical Logic
1	The British Journal for the Philosophy of Science
1	Bulletin de la Société Mathématique de France
1	Dissertationes Mathematicae
1	Logique et Analyse. Nouvelle Série
1	Mathematische Zeitschrift
1	Notre Dame Journal of Formal Logic
1	Quarterly of Applied Mathematics
1	Reports on Mathematical Logic
1	Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1	Bulletin of the American Mathematical Society
1	Studies in Logic and the Foundations of Mathematics
1	Synthese Library

all top 5

Fields

51	Mathematical logic and foundations (03-XX)
7	General and overarching topics; collections (00-XX)
5	History and biography (01-XX)
2	Number theory (11-XX)
2	Computer science (68-XX)
1	Category theory; homological algebra (18-XX)
1	Fluid mechanics (76-XX)
1	Quantum theory (81-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

84 Publications have been cited 1,077 times in 809 Documents	Cited by ▼	Year ▼
Proof theory. 2nd ed. Zbl 0609.03019 Takeuti, Gaisi	162	1987
Interpretation of analysis by means of constructive functionals of finite types. Zbl 0134.01001 Kreisel, Georg	74	1959
Philosophy of mathematics. Selected readings. 2nd ed. Zbl 0548.03002	69	1983
On the interpretation of non-finitist proofs. II: Interpretation of number theory. Applications. Zbl 0046.00701 Kreisel, Georg	66	1952
On the interpretation of non-finitist proofs. I. Zbl 0044.00302 Kreisel, Georg	61	1951
Reflection principles and their use for establishing the complexity of axiomatic systems. Zbl 0167.01302 Kreisel, Georg; Levy, A.	60	1968
Formal systems for some branches of intuitionistic analysis. Zbl 0211.01101 Kreisel, Georg; Troelstra, A. S.	53	1970
Eine Unableitbarkeitsbeweismethode für den intuitionistischen Aussagenkalkül. Zbl 0079.00702 Kreisel, Georg; Putnam, H.	47	1957
On weak completeness of intuitionistic predicate logic. Zbl 0117.01005 Kreisel, Georg	40	1963
Elements of mathematical logic (model theory). Zbl 0155.33801 Kreisel, Georg; Krivine, J. L.	39	1967
Mathematical logic. Zbl 0147.24703 Kreisel, Georg	35	1965
A survey of proof theory. Zbl 0177.01002 Kreisel, Georg	34	1968
Transfinite induction and bar induction of types zero and one, and the role of continuity in intuitionistic analysis. Zbl 0156.00804 Howard, W. A.; Kreisel, Georg	30	1966
Partial recursive functionals and effective operations. Zbl 0178.32201 Kreisel, Georg; Lacombe, D.; Shoenfield, J. R.	28	1959
Foundations of intuitionistic logic. Zbl 0133.24801 Kreisel, Georg	22	1962
Persistent and invariant formulas relative to theories of higher order. Zbl 0234.02038 Feferman, S.; Kreisel, Georg	21	1966
Mathematical significance of consistency proofs. Zbl 0088.01502 Kreisel, Georg	21	1959
Analysis of the Cantor-Bendixson theorem by means of the analytic hierarchy. Zbl 0093.01401 Kreisel, Georg	18	1959
Metarecursive sets. Zbl 0156.25203 Kreisel, Georg; Sacks, Gerald E.	18	1965
A survey of proof theory. II. Zbl 0227.02013 Kreisel, Georg	18	1971
Surface waves. Zbl 0032.32204 Kreisel, Georg	17	1949
Ordinal logics and the characterization of informal concepts of proof. Zbl 0139.00508 Kreisel, Georg	17	1960
Formally self-referential propositions for cut free classical analysis and related systems. Zbl 0336.02027 Kreisel, Georg; Takeuti, G.	17	1974
A notion of mechanistic theory. Zbl 0307.02028 Kreisel, Georg	16	1974
Lawless sequences of natural numbers. Zbl 0157.33401 Kreisel, Georg	16	1968
Church’s thesis: A kind of reducibility axiom for constructive mathematics. Zbl 0199.30001 Kreisel, Georg	16	1970
The philosophy of mathematics. Reprints. Zbl 0181.29501 Hintikka, J.	15	1969
Number theoretic concepts and recursive well-orderings. Zbl 0129.00402 Kreisel, Georg; Shoenfield, J.; Wang, H.	14	1961
The axiom of choice and the class of hyperarithmetic functions. Zbl 0108.00802 Kreisel, Georg	14	1962
Éléments de logique mathématique. Théorie des modèles. Zbl 0146.00703 Kreisel, Georg; Krivine, J. L.	12	1967
Some reasons for generalizing recursion theory. Zbl 0219.02027 Kreisel, Georg	12	1971
Note on arithmetic models for consistent formulae of the predicate calculus. Zbl 0040.00302 Kreisel, Georg	11	1950
The use of abstract language in elementary metamathematics: Some pedagogic examples. Zbl 0318.02003 Kreisel, Georg; Mints, G. E.; Simpson, S. G.	10	1975
La prédicativité. Zbl 0131.00604 Kreisel, Georg	10	1960
Set theoretic problems suggested by the notion of potential totality. Zbl 0199.01401 Kreisel, Georg	10	1961
Set existence. I, II. Zbl 0207.30102 Gandy, R. O.; Kreisel, Georg; Tait, W. W.	10	1961
Priciples of proof and ordinals implicit in given concepts. Zbl 0208.00901 Kreisel, Georg	10	1970
On a problem of Henkin’s. Zbl 0053.00601 Kreisel, Georg	10	1953
Some applications of formalized consistency proofs. Zbl 0067.25201 Kreisel, Georg; Wang, Hao	9	1955
Ensembles recursivement mesurables et ensembles recursivement ouverts on fermes. Zbl 0079.00901 Kreisel, Georg; Lacombe, Daniel	9	1957
Elementary completeness properties of intuitionistic logic with a note on negations of prenex formulae. Zbl 0086.24601 Kreisel, Georg	8	1959
A remark on free choice sequences and the topological completeness proofs. Zbl 0091.01101 Kreisel, Georg	8	1959
Two notes on the foundations of set-theory. Zbl 0255.02002 Kreisel, Georg	8	1969
Elements of mathematical logic. Model theory. Translated from the French by A.B. Slomson. 1st reprint. Zbl 0219.02037 Kreisel, Georg; Krivine, J. L.	8	1971
Church’s thesis and the ideal of informal rigour. Zbl 0646.03001 Kreisel, Georg	8	1987
Constructive logic versus algebraization. I. Zbl 0522.03046 Kreisel, Georg; Macintyre, Angus J.	7	1982
On the concepts of completeness and interpretation of formal systems. Zbl 0050.00601 Kreisel, Georg	7	1953
Which number theoretic problems can be solved in recursive progressions on \(\pi^1_1\)-paths through O? Zbl 0255.02048 Kreisel, Georg	6	1972
Mathematical interpretation of formal systems. Zbl 0066.00902 Skolem, Th.; Hasenjaeger, G.; Kreisel, Georg; Robinson, A.; Wang, Hao; Henkin, L.; Łoś, Jerzy	6	1955
Wie die Beweistheorie zu ihren Ordinalzahlen kam und kommt. Zbl 0359.02024 Kreisel, Georg	6	1977
Monadic operators defined by means of propositional quantification in intuitionistic logic. Zbl 0464.03051 Kreisel, Georg	5	1981
Finiteness theorems in arithmetic: An application of Herbrand’s theorem for \(Sigma_ 2-\)formulas. Zbl 0499.03045 Kreisel, Georg	5	1982
Effective operations and partial recursive functionals. Zbl 0201.33007 Kreisel, Georg; LaCombe, D.; Shoenfield, J.	5	1960
Problems in the philosophy of mathematics. Proceedings of the International Colloquium in the Philosophy of Science, London, 1965, Volume 1. Zbl 0155.33603	5	1967
Some concepts concerning formal systems of number theory. Zbl 0048.24702 Kreisel, Georg	5	1952
Models, translations and interpretations. Zbl 0068.24503 Kreisel, Georg	4	1955
1-consistency and faithful interpretations. Zbl 0122.24502 Feferman, S.; Kreisel, Georg; Orey, S.	4	1962
Finite definability of number-theoretic functions and parametric completeness of equational calculi. Zbl 0116.00506 Kreisel, Georg; Tait, W. W.	4	1961
Fonctionnelles recursivement definissables et fonctionnelles recursives. Zbl 0078.00702 Kreisel, Georg; Lacombe, Daniel; Shönfield, Joseph R.	4	1957
Hilbert’s Programme. Zbl 0090.01004 Kreisel, Georg	4	1958
Strong models of arithmetic. Zbl 0137.00703 Ehrenfeucht, A.; Kreisel, Georg	3	1966
The formalist-positivist doctrine of mathematical precision in the light of experience. Zbl 0196.00603 Kreisel, Georg	3	1970
Axiomatizations of nonstandard analysis that are conservative extensions of formal systems for classical standard analysis. Zbl 0188.32203 Kreisel, Georg	3	1969
Non-uniqueness results for transfinite progressions. Zbl 0211.31301 Kreisel, Georg	3	1960
Model-theoretic invariants: Applications to recursive and hyperarithmetic operations. Zbl 0225.02040 Kreisel, Georg	3	1965
Some uses of proof theory for finding computer programs. Zbl 0439.03044 Kreisel, Georg	3	1977
Generalizing proofs in monadic languages (with a postscript by Georg Kreisel). Zbl 1153.03040 Baaz, Matthias; Wojtylak, Piotr	3	2008
Kreisel’s conjecture for \(L\exists_ 1\). (Including a postscript by Georg Kreisel). Zbl 0812.03024 Baaz, Matthias; Pudlák, Pavel	3	1993
Note on arithmetic models for consistent formulae of the predicate calculus. II. Zbl 0053.20004 Kreisel, Georg	2	1953
Sums of squares. Zbl 0201.33202 Kreisel, Georg	2	1960
Modelltheorie. Eine Einführung in die mathematische Logik und Grundlagentheorie. Aus dem Französischen übersetzt von j.J. Jung. Zbl 0238.02003 Kreisel, Georg; Krivine, J.-L.	2	1972
Choice of infinitary languages by means of definability criteria; generalized recursion theory. Zbl 0177.01003 Kreisel, Georg	2	1968
A notion of mechanistic theory. Zbl 0335.02031 Kreisel, Georg	2	1976
What have we learnt from Hilbert’s second problem? Zbl 0366.02018 Kreisel, Georg	2	1976
Logical hygiene, foundations, and abstractions: diversity among aspects and options. Zbl 1275.03004 Kreisel, Georg	1	2011
Gödel’s interpretation of Heyting’s arithmetic. Zbl 0161.00603 Kreisel, Georg	1	1960
Functions, ordinals, species. Zbl 0187.26501 Kreisel, Georg	1	1968
Observation on popular discussions of foundations. Zbl 0215.31803 Kreisel, Georg	1	1971
Hilbert’s programme and the search for automatic proof procedures. Zbl 0206.27701 Kreisel, Georg	1	1970
From foundations to science: Justifying and unwinding proofs. Zbl 0414.03033 Kreisel, Georg	1	1977
“Der unheilvolle Einbruch der Logik in die Mathematik”. Zbl 0407.03007 Kreisel, Georg	1	1976
Some facts from the theory of proofs and some fictions from general proof theory. Zbl 0406.03068 Kreisel, Georg	1	1979
On the idea(l) of logical closure. Zbl 0767.03005 Kreisel, G.	1	1992
Proof theory and the synthesis of programs: Potential and limitations. Zbl 0574.03044 Kreisel, Georg	1	1985
Logical hygiene, foundations, and abstractions: diversity among aspects and options. Zbl 1275.03004 Kreisel, Georg	1	2011
Generalizing proofs in monadic languages (with a postscript by Georg Kreisel). Zbl 1153.03040 Baaz, Matthias; Wojtylak, Piotr	3	2008
Kreisel’s conjecture for \(L\exists_ 1\). (Including a postscript by Georg Kreisel). Zbl 0812.03024 Baaz, Matthias; Pudlák, Pavel	3	1993
On the idea(l) of logical closure. Zbl 0767.03005 Kreisel, G.	1	1992
Proof theory. 2nd ed. Zbl 0609.03019 Takeuti, Gaisi	162	1987
Church’s thesis and the ideal of informal rigour. Zbl 0646.03001 Kreisel, Georg	8	1987
Proof theory and the synthesis of programs: Potential and limitations. Zbl 0574.03044 Kreisel, Georg	1	1985
Philosophy of mathematics. Selected readings. 2nd ed. Zbl 0548.03002	69	1983
Constructive logic versus algebraization. I. Zbl 0522.03046 Kreisel, Georg; Macintyre, Angus J.	7	1982
Finiteness theorems in arithmetic: An application of Herbrand’s theorem for \(Sigma_ 2-\)formulas. Zbl 0499.03045 Kreisel, Georg	5	1982
Monadic operators defined by means of propositional quantification in intuitionistic logic. Zbl 0464.03051 Kreisel, Georg	5	1981
Some facts from the theory of proofs and some fictions from general proof theory. Zbl 0406.03068 Kreisel, Georg	1	1979
Wie die Beweistheorie zu ihren Ordinalzahlen kam und kommt. Zbl 0359.02024 Kreisel, Georg	6	1977
Some uses of proof theory for finding computer programs. Zbl 0439.03044 Kreisel, Georg	3	1977
From foundations to science: Justifying and unwinding proofs. Zbl 0414.03033 Kreisel, Georg	1	1977
A notion of mechanistic theory. Zbl 0335.02031 Kreisel, Georg	2	1976
What have we learnt from Hilbert’s second problem? Zbl 0366.02018 Kreisel, Georg	2	1976
“Der unheilvolle Einbruch der Logik in die Mathematik”. Zbl 0407.03007 Kreisel, Georg	1	1976
The use of abstract language in elementary metamathematics: Some pedagogic examples. Zbl 0318.02003 Kreisel, Georg; Mints, G. E.; Simpson, S. G.	10	1975
Formally self-referential propositions for cut free classical analysis and related systems. Zbl 0336.02027 Kreisel, Georg; Takeuti, G.	17	1974
A notion of mechanistic theory. Zbl 0307.02028 Kreisel, Georg	16	1974
Which number theoretic problems can be solved in recursive progressions on \(\pi^1_1\)-paths through O? Zbl 0255.02048 Kreisel, Georg	6	1972
Modelltheorie. Eine Einführung in die mathematische Logik und Grundlagentheorie. Aus dem Französischen übersetzt von j.J. Jung. Zbl 0238.02003 Kreisel, Georg; Krivine, J.-L.	2	1972
A survey of proof theory. II. Zbl 0227.02013 Kreisel, Georg	18	1971
Some reasons for generalizing recursion theory. Zbl 0219.02027 Kreisel, Georg	12	1971
Elements of mathematical logic. Model theory. Translated from the French by A.B. Slomson. 1st reprint. Zbl 0219.02037 Kreisel, Georg; Krivine, J. L.	8	1971
Observation on popular discussions of foundations. Zbl 0215.31803 Kreisel, Georg	1	1971
Formal systems for some branches of intuitionistic analysis. Zbl 0211.01101 Kreisel, Georg; Troelstra, A. S.	53	1970
Church’s thesis: A kind of reducibility axiom for constructive mathematics. Zbl 0199.30001 Kreisel, Georg	16	1970
Priciples of proof and ordinals implicit in given concepts. Zbl 0208.00901 Kreisel, Georg	10	1970
The formalist-positivist doctrine of mathematical precision in the light of experience. Zbl 0196.00603 Kreisel, Georg	3	1970
Hilbert’s programme and the search for automatic proof procedures. Zbl 0206.27701 Kreisel, Georg	1	1970
The philosophy of mathematics. Reprints. Zbl 0181.29501 Hintikka, J.	15	1969
Two notes on the foundations of set-theory. Zbl 0255.02002 Kreisel, Georg	8	1969
Axiomatizations of nonstandard analysis that are conservative extensions of formal systems for classical standard analysis. Zbl 0188.32203 Kreisel, Georg	3	1969
Reflection principles and their use for establishing the complexity of axiomatic systems. Zbl 0167.01302 Kreisel, Georg; Levy, A.	60	1968
A survey of proof theory. Zbl 0177.01002 Kreisel, Georg	34	1968
Lawless sequences of natural numbers. Zbl 0157.33401 Kreisel, Georg	16	1968
Choice of infinitary languages by means of definability criteria; generalized recursion theory. Zbl 0177.01003 Kreisel, Georg	2	1968
Functions, ordinals, species. Zbl 0187.26501 Kreisel, Georg	1	1968
Elements of mathematical logic (model theory). Zbl 0155.33801 Kreisel, Georg; Krivine, J. L.	39	1967
Éléments de logique mathématique. Théorie des modèles. Zbl 0146.00703 Kreisel, Georg; Krivine, J. L.	12	1967
Problems in the philosophy of mathematics. Proceedings of the International Colloquium in the Philosophy of Science, London, 1965, Volume 1. Zbl 0155.33603	5	1967
Transfinite induction and bar induction of types zero and one, and the role of continuity in intuitionistic analysis. Zbl 0156.00804 Howard, W. A.; Kreisel, Georg	30	1966
Persistent and invariant formulas relative to theories of higher order. Zbl 0234.02038 Feferman, S.; Kreisel, Georg	21	1966
Strong models of arithmetic. Zbl 0137.00703 Ehrenfeucht, A.; Kreisel, Georg	3	1966
Mathematical logic. Zbl 0147.24703 Kreisel, Georg	35	1965
Metarecursive sets. Zbl 0156.25203 Kreisel, Georg; Sacks, Gerald E.	18	1965
Model-theoretic invariants: Applications to recursive and hyperarithmetic operations. Zbl 0225.02040 Kreisel, Georg	3	1965
On weak completeness of intuitionistic predicate logic. Zbl 0117.01005 Kreisel, Georg	40	1963
Foundations of intuitionistic logic. Zbl 0133.24801 Kreisel, Georg	22	1962
The axiom of choice and the class of hyperarithmetic functions. Zbl 0108.00802 Kreisel, Georg	14	1962
1-consistency and faithful interpretations. Zbl 0122.24502 Feferman, S.; Kreisel, Georg; Orey, S.	4	1962
Number theoretic concepts and recursive well-orderings. Zbl 0129.00402 Kreisel, Georg; Shoenfield, J.; Wang, H.	14	1961
Set theoretic problems suggested by the notion of potential totality. Zbl 0199.01401 Kreisel, Georg	10	1961
Set existence. I, II. Zbl 0207.30102 Gandy, R. O.; Kreisel, Georg; Tait, W. W.	10	1961
Finite definability of number-theoretic functions and parametric completeness of equational calculi. Zbl 0116.00506 Kreisel, Georg; Tait, W. W.	4	1961
Ordinal logics and the characterization of informal concepts of proof. Zbl 0139.00508 Kreisel, Georg	17	1960
La prédicativité. Zbl 0131.00604 Kreisel, Georg	10	1960
Effective operations and partial recursive functionals. Zbl 0201.33007 Kreisel, Georg; LaCombe, D.; Shoenfield, J.	5	1960
Non-uniqueness results for transfinite progressions. Zbl 0211.31301 Kreisel, Georg	3	1960
Sums of squares. Zbl 0201.33202 Kreisel, Georg	2	1960
Gödel’s interpretation of Heyting’s arithmetic. Zbl 0161.00603 Kreisel, Georg	1	1960
Interpretation of analysis by means of constructive functionals of finite types. Zbl 0134.01001 Kreisel, Georg	74	1959
Partial recursive functionals and effective operations. Zbl 0178.32201 Kreisel, Georg; Lacombe, D.; Shoenfield, J. R.	28	1959
Mathematical significance of consistency proofs. Zbl 0088.01502 Kreisel, Georg	21	1959
Analysis of the Cantor-Bendixson theorem by means of the analytic hierarchy. Zbl 0093.01401 Kreisel, Georg	18	1959
Elementary completeness properties of intuitionistic logic with a note on negations of prenex formulae. Zbl 0086.24601 Kreisel, Georg	8	1959
A remark on free choice sequences and the topological completeness proofs. Zbl 0091.01101 Kreisel, Georg	8	1959
Hilbert’s Programme. Zbl 0090.01004 Kreisel, Georg	4	1958
Eine Unableitbarkeitsbeweismethode für den intuitionistischen Aussagenkalkül. Zbl 0079.00702 Kreisel, Georg; Putnam, H.	47	1957
Ensembles recursivement mesurables et ensembles recursivement ouverts on fermes. Zbl 0079.00901 Kreisel, Georg; Lacombe, Daniel	9	1957
Fonctionnelles recursivement definissables et fonctionnelles recursives. Zbl 0078.00702 Kreisel, Georg; Lacombe, Daniel; Shönfield, Joseph R.	4	1957
Some applications of formalized consistency proofs. Zbl 0067.25201 Kreisel, Georg; Wang, Hao	9	1955
Mathematical interpretation of formal systems. Zbl 0066.00902 Skolem, Th.; Hasenjaeger, G.; Kreisel, Georg; Robinson, A.; Wang, Hao; Henkin, L.; Łoś, Jerzy	6	1955
Models, translations and interpretations. Zbl 0068.24503 Kreisel, Georg	4	1955
On a problem of Henkin’s. Zbl 0053.00601 Kreisel, Georg	10	1953
On the concepts of completeness and interpretation of formal systems. Zbl 0050.00601 Kreisel, Georg	7	1953
Note on arithmetic models for consistent formulae of the predicate calculus. II. Zbl 0053.20004 Kreisel, Georg	2	1953
On the interpretation of non-finitist proofs. II: Interpretation of number theory. Applications. Zbl 0046.00701 Kreisel, Georg	66	1952
Some concepts concerning formal systems of number theory. Zbl 0048.24702 Kreisel, Georg	5	1952
On the interpretation of non-finitist proofs. I. Zbl 0044.00302 Kreisel, Georg	61	1951
Note on arithmetic models for consistent formulae of the predicate calculus. Zbl 0040.00302 Kreisel, Georg	11	1950
Surface waves. Zbl 0032.32204 Kreisel, Georg	17	1949

all cited Publications top 5 cited Publications

all top 5

Cited by 703 Authors

20	Kohlenbach, Ulrich Wilhelm
14	Mints, Grigoriĭ Efroimovich
13	Beklemishev, Lev D.
13	Feferman, Solomon
12	Kreisel, Georg
9	Kurahashi, Taishi
9	Leivant, Daniel M.
9	Rathjen, Michael
8	Berger, Ulrich
7	Friedman, Harvey M.
7	Halbach, Volker
7	Kawai, Tatsuji
7	Visser, Albert
6	Coquand, Thierry
6	Dean, Walter
6	Freund, Anton
6	Leuştean, Laurenţiu
6	Miglioli, Pierangelo
6	Moschovakis, Joan Rand
6	Oliva, Paulo
6	Pour-El, Marian Boykan
6	Sacks, Gerald Enoch
6	Schwichtenberg, Helmut
6	Simpson, Stephen G.
5	Cooper, Stuart Barry
5	Fujiwara, Makoto
5	Matiyasevich, Yuriĭ Vladimirovich
5	Pakhomov, Fedor N.
5	Shapiro, Stewart
5	Ziegler, Martin
4	Constable, Robert Lee
4	Doria, Francisco Antonio
4	Hennicker, Rolf
4	Howard, William Alvin
4	Kikuchi, Makoto
4	Kirst, Dominik
4	Makowsky, Johann-Andreas
4	Prawitz, Dag
4	Rahli, Vincent
4	Richards, Ian
4	Sanders, Sam
4	Sieg, Wilfried
4	Sipoş, Andrei
4	Spreen, Dieter
4	Troelstra, Anne Sjerp
4	Tucker, John V.
4	Veldman, Wim
4	Weiermann, Andreas
3	Aschieri, Federico
3	Avigad, Jeremy
3	Beggs, Edwin J.
3	Berardi, Stefano
3	Bezem, Marc
3	Bickford, Mark
3	Bidoit, Michel
3	Brattka, Vasco
3	Cantini, Andrea
3	Clote, Peter G.
3	Cohen, Liron
3	Cordón-Franco, Andrés
3	Crosilla, Laura
3	Da Costa, Newton Carneiro Affonso
3	Dal Lago, Ugo
3	de Jongh, Dick H. J.
3	Dinis, Bruno
3	Downey, Rodney Graham
3	Ferrari, Mauro
3	Ferreira, Gilda
3	Franks, Curtis
3	Frittaion, Emanuele
3	Gerhardy, Philipp
3	Hofmann, Martin
3	Ilik, Danko
3	Kahle, Reinhard
3	Kalantari, Iraj
3	Kleene, Stephen Cole
3	Kolmakov, Evgeny A.
3	Kripke, Saul A.
3	Krivine, Jean-Louis
3	Kurokawa, Hidenori
3	Lara-Martín, Francisco Felix
3	Lee, Gyesik
3	Luckhardt, Horst
3	Macintyre, Angus John
3	Moschovakis, Yiannis Nicholas
3	Picollo, Lavinia María
3	Salehi, Saeed
3	Ščedrov, Andrej
3	Schroeder-Heister, Peter Joseph
3	Steinberg, Florian
3	Tait, William Walker
3	Thies, Holger
3	Towsner, Henry
3	Van den Berg, Benno
3	Wainer, Stanley Scott
3	Welch, Lawrence V.
3	Willard, Dan E.
3	Zakharyaschev, Michael Viktorovich
3	Zucker, Jeffery I.
2	Aehlig, Klaus
...and 603 more Authors

all top 5

Cited in 119 Serials

112	Annals of Pure and Applied Logic
70	The Journal of Symbolic Logic
35	Theoretical Computer Science
30	Studia Logica
27	Archive for Mathematical Logic
23	Journal of Philosophical Logic
23	Synthese
21	Archiv für Mathematische Logik und Grundlagenforschung
21	Transactions of the American Mathematical Society
18	The Bulletin of Symbolic Logic
14	Information and Computation
13	Notre Dame Journal of Formal Logic
12	The Review of Symbolic Logic
11	Mathematical Logic Quarterly (MLQ)
11	Logical Methods in Computer Science
10	Advances in Mathematics
10	Compositio Mathematica
9	Journal of Soviet Mathematics
9	History and Philosophy of Logic
8	Journal of Computer and System Sciences
8	Mathematical Structures in Computer Science
8	Bulletin of the American Mathematical Society
7	Proceedings of the American Mathematical Society
6	Applied Mathematics and Computation
6	Journal of Symbolic Computation
6	Indagationes Mathematicae. New Series
5	Wave Motion
5	Publications of the Research Institute for Mathematical Sciences, Kyoto University
5	Topoi
5	Logica Universalis
4	Algebra Universalis
4	Theory of Computing Systems
4	Erkenntnis
3	Israel Journal of Mathematics
3	The Mathematical Intelligencer
3	Algebra and Logic
3	Journal of Algebra
3	Mathematische Annalen
3	Doklady Mathematics
3	Journal of Mathematical Logic
3	Proceedings of the Japan Academy
3	Journal of Logic and Analysis
2	Artificial Intelligence
2	Information Processing Letters
2	Journal of Engineering Mathematics
2	Journal of Mathematical Analysis and Applications
2	Mathematical Notes
2	Bulletin de la Société Mathématique de France
2	Inventiones Mathematicae
2	Journal of Mathematical Economics
2	Journal of Pure and Applied Algebra
2	Mathematische Zeitschrift
2	Ergodic Theory and Dynamical Systems
2	Journal of Automated Reasoning
2	Applied Mathematical Modelling
2	Journal of Logic, Language and Information
2	Journal of Functional Programming
2	Documenta Mathematica
2	Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2	Communications in Contemporary Mathematics
2	Logic and Logical Philosophy
2	Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
2	Proceedings of the Steklov Institute of Mathematics
1	Discrete Mathematics
1	International Journal of Engineering Science
1	International Journal of Theoretical Physics
1	Journal d’Analyse Mathématique
1	Journal of Fluid Mechanics
1	Mathematical Methods in the Applied Sciences
1	Mathematical Proceedings of the Cambridge Philosophical Society
1	Rocky Mountain Journal of Mathematics
1	Russian Mathematical Surveys
1	ZAMP. Zeitschrift für angewandte Mathematik und Physik
1	Theoretical and Computational Fluid Dynamics
1	Annali di Matematica Pura ed Applicata. Serie Quarta
1	Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques
1	Information Sciences
1	Journal of Combinatorial Theory. Series B
1	Journal of Computational and Applied Mathematics
1	Journal of Mathematical Psychology
1	Journal of Optimization Theory and Applications
1	Kybernetika
1	Mathematics and Computers in Simulation
1	Mathematica Slovaca
1	Mathematical Systems Theory
1	Memoirs of the American Mathematical Society
1	Rendiconti del Seminario Matemàtico e Fisico di Milano
1	Semigroup Forum
1	Tôhoku Mathematical Journal. Second Series
1	Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
1	Combinatorica
1	Bulletin of the Iranian Mathematical Society
1	Journal of Complexity
1	Mathematical and Computer Modelling
1	RAIRO. Informatique Théorique et Applications
1	Applicable Algebra in Engineering, Communication and Computing
1	Topology Proceedings
1	Combinatorics, Probability and Computing
1	Journal of Mathematical Sciences (New York)
1	Izvestiya: Mathematics
...and 19 more Serials

all top 5

Cited in 44 Fields

680	Mathematical logic and foundations (03-XX)
161	Computer science (68-XX)
42	History and biography (01-XX)
29	General and overarching topics; collections (00-XX)
22	Operator theory (47-XX)
17	Fluid mechanics (76-XX)
15	Number theory (11-XX)
13	Category theory; homological algebra (18-XX)
12	Field theory and polynomials (12-XX)
12	General topology (54-XX)
11	Order, lattices, ordered algebraic structures (06-XX)
10	Quantum theory (81-XX)
9	Combinatorics (05-XX)
8	General algebraic systems (08-XX)
7	Measure and integration (28-XX)
7	Partial differential equations (35-XX)
7	Dynamical systems and ergodic theory (37-XX)
6	Real functions (26-XX)
5	Algebraic geometry (14-XX)
5	Geophysics (86-XX)
4	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3	Commutative algebra (13-XX)
3	Sequences, series, summability (40-XX)
3	Functional analysis (46-XX)
3	Numerical analysis (65-XX)
2	Geometry (51-XX)
2	Statistics (62-XX)
2	Mechanics of deformable solids (74-XX)
2	Information and communication theory, circuits (94-XX)
1	Linear and multilinear algebra; matrix theory (15-XX)
1	Associative rings and algebras (16-XX)
1	Group theory and generalizations (20-XX)
1	Functions of a complex variable (30-XX)
1	Ordinary differential equations (34-XX)
1	Harmonic analysis on Euclidean spaces (42-XX)
1	Abstract harmonic analysis (43-XX)
1	Differential geometry (53-XX)
1	Algebraic topology (55-XX)
1	Probability theory and stochastic processes (60-XX)
1	Mechanics of particles and systems (70-XX)
1	Classical thermodynamics, heat transfer (80-XX)
1	Relativity and gravitational theory (83-XX)
1	Operations research, mathematical programming (90-XX)
1	Biology and other natural sciences (92-XX)

Citations by Year

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