@article{PHSC_1998-1999__3_4_235_0, author = {Guillaume, Marcel}, title = {Essai sur la gen\`ese de la m\'ethode des tableaux de {Beth}}, journal = {Philosophia Scientiae}, pages = {235--277}, publisher = {\'Editions Kim\'e}, volume = {3}, number = {4}, year = {1998-1999}, language = {fr}, url = {http://archive.numdam.org/item/PHSC_1998-1999__3_4_235_0/} }
Guillaume, Marcel. Essai sur la genèse de la méthode des tableaux de Beth. Philosophia Scientiae, Un logicien consciencieux. La philosophie de Evert Willem Beth. Actes du Colloque Everth Willem Beth, Archives Henri-Poincaré et Fondation E.W Beth, Nancy, 22-24 avril 1998., Tome 3 (1998-1999) no. 4, pp. 235-277. http://archive.numdam.org/item/PHSC_1998-1999__3_4_235_0/
Logical Calculus. Notes on Lectures at the Institute for Advanced Study 1935-36, prepared with the assistance of F. A. Ficken. Mimeographed. Inst. for Adv. Study, Princeton N.J., 125 pp.
. 1936Semantical Considerations on Intuitionistic Mathematics. Indagationes mathematicae 9, 572-577. | Zbl
1947A Topological Proof of the Theorem of Löwenheim-Skolem-Gödel. Indagationes mathematicae 13, 436-444. | Zbl
1951Some Consequences of the Theorem of Löwenheim-Skolem-Gödel-Malcev. Indagationes mathe-maticae 15, 66-71. | Zbl
1953aOn Padoa's Method in the Theory of Definition. Indagationes mathematicae 15, 330-339. | Zbl
1953bRemarks on Natural Deduction. Indagationes mathematicae 17, 322-325. | Zbl
1955aSemantic Entailment and Formal Derivability. Mededelingen der Koninklijke Nederlandse Akademie van Wetenschappen, Amsterdam, Afd. Letterkunde, N.R. 18, n° 13, 309-342.
1955bL'existence en mathématiques. Gauthier-Villars, Paris, et Nauwelaerts, Louvain, 1956, 60 pp.
1956aSemantic Construction of Intuitionistic Logic. Mededelingen der Koninklijke Nederlandse Akademie van Wetenschappen, Amsterdam, Afd. Letterkunde, N.R. 19, n° 11 (1956), pp. 357-388. | Zbl
1956bRemarks on Elementary Predicate Logic. Nieuw Archief voor Wiskunde 3, 58-62. | Zbl
1957On the Completeness of the Classical Sentential Logic. Indagationes mathematicae 20, 434-437. | Zbl
1958aConstruction sémantique de la logique intuitionniste. Le raisonnement en mathématiques et en sciences expérimentales. Colloque International du C.N.R.S. 70 (Paris, 26 sept.-1 oct. 1955), 77-84.
1958bThe Foundations of Mathematics. A study in the Philosophy of science. North-Holland, Amsterdam, 1959, xxvi+741 pp. | Zbl
1959aConsidérations heuristiques sur les méthodes de déduction par séquences. Logique et Analyse, n.s. 2, 153-159.
1959bCompleteness Results for Formal Systems. Proceedings of the international Congress of Mathematicians 1958. Cambridge University Press, 1960, pp. 281-288. | Zbl
1960Compte-Rendu des travaux effectués par l'Université d'Amsterdam dans le cadre du Contrat Euratom n° 010-60-12. EURATOM - C.C.R. ISPRA. Rapport CETIS n° 26, Logique, Août 1961. Miméographié. 170 pp.
1961Formal Methods. An Introduction to Symbolic Logic and to the Study of Effective Operations in Arithmetic and Logic. Reidel, Dordrecht, 1962, xiv+170 pp. | Zbl
1962Begriffschrift. Eine der arithmetischen nachgebildete Formelsprache des reinen Denkens. Nebert, Halle, 1879, x+88 pp.
1879Untersuchungen über das logische Schliessen. Mathematische Zeitschrift 39, 176-210, 405-431. Traduction française par Ladrière, J. (avec notes de Feys, R. et Ladrière, J.) sous le titre Recherches sur la déduction logique. Presses Universitaires de France, Paris, 1955. XII+170 pp. | Zbl
. 1934Eine Interpretation des intuitionistischen Aussagenkalküls. Ergebnisse eines mathematischen Kolloquiums 3, 39-40. | Zbl
1933Quelques remarques sur les "tableaux de Beth". Synthèse 16, 27-33. Reproduit dans E.W. Beth Memorial Colloquium. Logic and Foundations of Science. Paris, Institut Henri Poincaré, 19-21 May 1964. Ed. by J.L. Destouches. Reidel, Dordrecht, 1967, pp. 39-45. | Zbl
1966Konsequenzenlogik, dans: Hermes, H. und Scholz, H. Mathematische Logik. Enzyklopädie der mathematischen Wissenchaften 1 Berlin 1952.
1952Recherches sur la théorie de la démonstration. Travaux de la Société des Sciences et des Lettres de Varsovie, Classe III Sciences mathématiques et physiques, n° 33, 128 pp. | JFM
1930Die formalen Regeln der intuitionistischen Logik. Sitzungsberichte der Preussischen Akademie der Wissenschaften, Physikalisch-mathematische Klasse, 1930, pp. 42-56. | JFM
1930Grundlagen der Mathematik, II. Springer, Berlin, 1939, xii+498 pp. | Zbl
et 1939Distributive Normal Forms in the Calculus of Predicates. Acta Philosophica Fennica 6, 1-71. | Zbl
1953Form and Content in Quantification Theory. Acta Philosophica Fennica 8, 7-55. | Zbl
1955Provability in Logic. Stockholm Studies in Philosophy I, Almquist and Wiksell, Stockholm 1957, 47 pp. | Zbl
1957Models of Logical Systems. Journal of Symbolic Logic 13, 16-30. | Zbl
1948A Completeness Theorem in Modal Logic. Journal of Symbolic Logic 24, 1-14. | Zbl
1959Über Möglichkeiten im Relativkalkül. Mathematische Annalen 76, 447-470.
1915A Solution of the Decision Problem for the Lewis Systems S2 and S4, with an Application to Topology. Journal of Symbolic Logic 4, 117-134. | JFM | Zbl
1941The Algebra of Topology. Annals of Mathematics ser. 2, 45, 141-191.
and 1944On Closed Elements in Closure Algebras. Annals of Mathematics ser. 2, 47, 122-162. | Zbl
and 1946Some Theorems about the Sentential Calculi of Lewis and Heyting. Journal of Symbolic Logic 13, 1-15. | Zbl
and 1948Sur l'interprétation géométrique et topologique des notions logiques. Library of the 10th International congress of Philosophy (Amsterdam 1948). Ed. Beth, E.W., Pos, H.J., Hollak, H.J.A. North Holland, Amsterdam, 1949, pp. 767-769. | Zbl
1949Algebraic Treatment of the Fonctional Calculi of Heyting and Lewis. Fundamenta Mathematicae 38, 99-126. | Zbl
1951Algebraic Models of Axiomatic Theories. Fundamenta Mathematicae 41, 291 -310. | Zbl
1954A Proof of the Completeness Theorem of Gödel. Fundamenta Mathematicae 37, 193-200. | Zbl
, and 1950Grundzüge der Systemenkalkül, Erster Teil. Fundamenta Mathematicae 25, 503-526. | JFM | Zbl
1935Der Aussagenkalkül und die Topologie. Fundamenta Mathematicae 31, 103-134. | JFM | Zbl
1938Some Notions and Methods in the Borderline of Algebra and Metamathematics. Proceedings of the International Congress of Mathematicians (Cambridge, Mass., 1950) I. American Mathematical Society, Providence, R.I., 1952, pp. 705-720. | Zbl
1952Inventory of the Papers of Evert Willem Beth (1908-1964), Philosopher, Logician and Mathematician. 1920-1964 (c. 1980). Inventarisreeks Rijksarchief in Noord-Holland 4, Haarlem, 1995, 342 pp.
1995