Evert Willem Beth

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Evert Willem Beth (born July 7, 1908 in Almelo (Netherlands), † April 12, 1964 in Amsterdam ) was a Dutch logician and philosopher .

He was a teacher in high schools and from 1946 to 1964 professor of mathematical logic, history of logic and philosophy of science at the University of Amsterdam .

Beth developed semantic tables, the so-called Beth-Tableaux, as a syntactic procedure for the treatment of semantic problems of logic calculi .

Works (selection)

  • De wijsbegeerte the wiskunde van Parmenides tot Bolzano . Standaard Boekhandel, Antwerp 1944.
  • Symbolic logic and foundation of the exact sciences ( bibliographical introduction to the study of philosophy ). Francke, Bern 1948.
  • Les fondements logiques des mathématiques . 1950.
  • The Foundations of Mathematics . Standaard Boekhandel, Amsterdam 1959.
  • with Jean Piaget : pistémologie mathématique et psychologie. Essai sur les relations entre la logique formelle et la pensée réelle . Presses Universitaires de France, Paris 1961.
  • Mathematical Thought. An Introduction to the Philosophy of Mathematics . Reidel, Dordrecht 1965.

literature

  • Arend Heyting : In memoriam Evert Willem Beth, Notre Dame Journal of Formal Logic  7 , no. 4 (1966), pages 289-295, free download

Web links

Individual evidence

  1. Evert Willem Beth: Semantic Entailment and formal derivability, Mededelingen der Koninklijke Nederlandse Akademie van Wetenschappen , Volume 18, Number 13, Amsterdam: 1955, pages 309–342, abridged, translated reprint in Berka / Kreiser 1986, page 262 ff.
    First systematic elaboration of the tree calculus
    • Evert Willem Beth: A topological proof of the theorem of Löwenheim-Skolem-Gödel, Indag. Math. 13, pp. 346-344
    First thoughts in the direction of a tree calculus
    • Karel Berka , Lothar Kreiser: Logic texts. Annotated selection on the history of modern logic , Berlin: Akademie 1986
    Abridged reprint by Beth 1955 from page 262