Beth's nonclassical valuations
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. 279-302. 
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de Jongh, Dick; van Ulsen, Paul. Beth's nonclassical valuations. 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. 279-302. http://archive.numdam.org/item/PHSC_1998-1999__3_4_279_0/

Beth, Evert W. 1951 A Topological Proof of the Theorem of Löwenheim-Skolem-Gödel, Indagationes Mathematicae, 13, 437-444. | Zbl

Beth, Evert W. 1954a A Subformula Theorem for the Sentential Calculus, and a Characterisation of its Axiom Systems (dedicated to Robert Feys), unpublished.

Beth, Evert W. 1954b A Subformula Theorem for the Sentential Calculus, and a Characterisation of Axiom Systems Adequate for it (dedicated to Robert Feys), rewritten version of 1954a, unpublished.

Beth, Evert W. 1954c A Subformula Theorem for the Sentential Calculus, and a Characterisation of Axiom Systems Adequate for it (abstract for ASL meeting, Amsterdam, September 1, 1954), unpublished.

Beth, Evert W. 1954/ 1955 Nieuwentyt's Significance for the Philosophy of Science, Synthese, 9, 447-453.

Beth, Evert W. 1955a Remarks on Natural Deduction (dedicated to Robert Feys), Indagationes Mathematicae, 17, 322-325. | Zbl

Beth, Evert W. 1955b Semantic Entailment and Formal Derivability, Mededelingen Koninklijke Nederlandse Akademie van Wetenschappen, Nieuwe Reeks, 18, 309-342.

Beth, Evert W. 1955c Poincaré et la philosophie, Le Livre du centenaire de la renaissance de Henri Poincaré, 1854-1954, Paris, 232-238.

Beth, Evert W. 1956a L'Existence en mathématiques, (lectures 1954, March 29-April 2, Paris (Sorbonne)), Paris/Louvain: Gauthiers-Villars/ Nauwelaerts (Collection de logique mathématiques, série A, 10).

Beth, Evert W. 1956b Semantic Construction of Intuitionistic Logic, Mededelingen Koninklijke Nederlandse Akademie van Wetenschappen, Nieuwe Reeks, 19, 357-388. | Zbl

Beth, Evert W. 1957 La crise de la raison et la logique, Paris/Louvain: Gauthiers-Villars/Nauwelaerts, (Collection de logique mathématique, 12, Série A). | Zbl

Beth, Evert W. 1958a Construction sémantique de la logique intuinioniste, Le raisonnement en mathématique et en sciences expérimentales (Paris, Sept. 26-Oct. 1, 1955), in Colloques Int. du C.N.R.S., 70, 77-83.

Beth, Evert W. 1958b On Machines which Prove Theorems, Simon Stevin 32, 49-60 (lecture August 6, 1957, IBM research centre Yorktown, NY). And in [Beth 1962], 112-121. | Zbl

Beth, Evert W. 1959 The Foundations of Mathematics, a Study in the Philosophy of Sciences, Amsterdam: North-Holland, in Studies in logic. | Zbl

Beth, Evert W. 1960a Completeness Results for Formal Systems, Proceeding International Congress Mathematicians (Edinburgh, 1958, August 4-21), Cambridge, 281-288. | Zbl

Beth, Evert W. 1960b Observations on an Independence Proof for Peirce's law, (abstract), The Journal of Symbolic logic, 25, 389 (received Oct. 24, 1961, published Oct., 1962 in no. 4 of vol. 25).

Beth, Evert W. 1961a Méthodes de déduction, vue d'ensemble, Compte-rendu des travaux effectués par l'Université d'Amsterdam dans le cadre du contrat Euratom, Rapport CETIS, 26, (Rapport 1), 5-20.

Beth, Evert W. 1961b Remarques sur la théorie des pseudo-valuations, Compte-rendu des travaux effectués par l'Université d'Amsterdam dans le cadre du contrat Euratom, Rapport CETIS, 26 (Rapport 3, 15 Mai 1961), 32-35.

Beth, Evert W. 1961c Construction sémantique de la logique inférentielle, Compte-rendu des travaux effectués par l'Université d'Amsterdam dans le cadre du contrat Euratom, Rapport CETIS, 26 (Rapport 8, 15 Octobre 1961), 172-178.

Beth, Evert W. 1961d Observations Concerning Computation, Deduction and Heuristics, Compte-rendu des travaux effectués par l'Université d'Amsterdam dans le cadre du contrat Euratom, Rapport CETIS, 26 (Rapport 10, 15 Octobre 1961), 106-119. And in Computer Programming and Formal Systems, Amsterdam, (1963), 21-32, Amsterdam: North-Holland (Studies in Logic). | Zbl

Beth, Evert W. 1962 Formal Methods, an Introduction to Symbolic Logic and to the Study of Effective Operations in Arithmetic and Logic, Dordrecht: Reidel. | Zbl

Beth, Evert W. 1965 Semantische Begründung der derivativen Implikationslogik, Archiv für Mathematische Logik und Grundlagenforschung, 7, 23-28, (received Jan. 6, 1962; in No. 7/1-2: vereinigten Beiträge sind von den Verfasser Herrn Prof.dr Arnold Schmidt zu seinem 60. Geburtstag am 11. Juli 1962 gewidmet worden.). | EuDML | Zbl

Beth, Evert W. and Nieland, Johannes J.F. 1965 Semantic Construction of Lewis's Systems S4 and S5, Symposium of the theory of models (J.W. Addison, L. Henkin, A. Tarski eds.), (Proc. 1963 Int. Symposium Berkeley), Amsterdam, 17-24: North-Holland (Studies in Logic). | Zbl

Bull, R. and Segerberg, K. 1984 Basic Modal Logic, Handbook of philosophical logic II, Extensions of classic logic, (Gabbay, D. & Guenther, F. ed.), 1-88. | Zbl

Church, Alonzo 1956 Introduction to Mathematical logic I, Princeton: Princeton University Press. | Zbl

Davis, Martin 1958 Computability and Unsolvability, New York-Toronto: McGraw-Hill (Series in information processing and computers) | Zbl

De Jongh, Dick H.J. 1962a Recherches sur les I-valuations, Compte-rendu des travaux effectués par l'Université d'Amsterdam dans le cadre du contrat Euratom, Rapport CETIS, 26, 172-178 (Rapport 17).

De Jongh, Dick H.J. 1962 Operators in Inferential Sentential Logic (Euratom-rapport No. 25, November 15, 1962), unpublished.

De Jongh, Dick H.J. 1964 Onderzoekingen over de intuitionistische propositielogica [Investigations in the Intuitionistic Propositional calculus] (doctoraalskriptie; master's thesis, University of Amsterdam), unpublished.

De Jongh, Dick H.J. and Chagrova, L.A. 1995 The Decidability of Dependency in Intuitionistic Propositional Logic, The Journal of Symbolic Logic, 60, 498-504. | Zbl

Dummett, Michael A.E. 1977 Elements of Intuitionism, Oxford: Clarendon Press. | Zbl

Dummett, Michael A.E. and Lemmon, E.J. 1958 Modal Logics between S4 and S5, Zeitschrift für mathematische Logik und Grundlagen der Mathematik, 4, 250-264. | Zbl

Dyson, V.H., and Kreisel, Georg 1961 Analysis of Beth's Semantic Construction of Intuitionistic Logic, Technical Report No. 3, Stanford, California: Office of Ordnance Research, Contract No. DA-04-200-ORD-997; Applied mathematics and statistical laboratories, Stanford University.

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Kamp, Hans and De Jongh, Dick H.J. 1964 LISP-ALGOL-programma voor de intuitionistische propositielogica, [LISP-ALGOL program for the intuitionistic propositional calculus] (R 1014, codenr. JON 260364/7266 and R 1057 codenr. JON 260364/8615), typescript, unpublished.

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Kreisel, Georg Review of [Beth 1956b], Zentralblatt für Mathematik, 73, 249-250.

Kripke, Saul A. 1959a A Completeness Theorem in Modal Logic, The Journal of Symbolic Logic, 24, 1-14 (received August 25, 1958, published Nov. 26, 1959, in no. 1 of vol. 24). | Zbl

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