Paul Lorenzen

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Paul Lorenzen
BornMarch 24, 1915
DiedOctober 1, 1994 (1994-11) (aged 79)
Scientific career
FieldsPhilosophy, mathematics
Doctoral advisorHelmut Hasse

Paul Lorenzen (March 24, 1915 – October 1, 1994) was a German philosopher and mathematician, founder of the Erlangen School (with Wilhelm Kamlah) and inventor of game semantics (with Kuno Lorenz).

Biography

Lorenzen studied at the University of Göttingen until he earned his PhD there in 1938 under Helmut Hasse with a thesis titled Zur Abstrakten Begründung der multiplikativen Idealtheorie. In 1933, he joined the SA and the German Nazionalist Studenti Union (NSDStB), while, four years later, he became a member of the Nazi Party.[1] In early 1940 he was drafted into the Army.[2] Through Hasse's mediation, Lorenzen worked with Wilhelm Tranow from July 1940 to April 1941 on the Bavy's decoding project.[3]

In 1939, he became an assistant to

University of Texas, and Boston University
in the USA. He was John Locke Lecturer in 1967/1968.

Theory

Lorenzen came in 1962 to

epistemological constructivism
there.

He wrote with Wilhelm Kamlah the famous book Logical Propaedeutic ("Logische Propädeutik") and worked on

constructive type theory and constructive analysis
.

Lorenzen's work on calculus Differential and Integral was dedicated to

Hilbert's program after the results of Gödel
.

In the theory of geometry and physics, Lorenzen was influenced by Hugo Dingler. He followed Dingler in building up geometry and physics out of primitive operations. Lorenzen took an early interpretation of Steven Weinberg (Gravitation and Cosmology, 1972) for his doubts about geometrical elements of general relativity, believing that Maxwell's equations are to be modified by general relativity instead.

Lorenzen was also influenced by Wilhelm Dilthey's hermeneutics, and liked to quote Dilthey's saying that knowledge cannot go behind life. Dilthey's Lebensphilosophie was the description of the setting in ordinary experience in which we construct the abstractions of mathematics and physics.

As John Locke Lecturer he invented normative logic as a base on ethics and political argumentation.

Major works

  • Paul Lorenzen, Frederick J. Crosson (Translator), Formal Logic, Springer, New York, July 1964.
  • Paul Lorenzen, Normative Logic and Ethics, Mannheim/Zürich, 1969.
  • Paul Lorenzen, John Bacon (Translator), Differential and Integral: A constructive introduction to classical analysis, The University of Texas Press, Austin, 1971.
  • Paul Lorenzen, Lehrbuch der konstruktiven Wissenschaftstheorie, Mannheim/Zürich, 1984.
  • Paul Lorenzen, Karl Richard Pavlovic (Translator), Constructive Philosophy, The University of Massachusetts Press, Amherst, 1987.

References

  1. ^ Stefan Neuwirth: Lorenzen’s Correspondence with Hasse, Krull, and Aubert, Together with Some Relevant Documents. In: Gerhard Heinzmann, Gereon Wolters (ed.): Paul Lorenzen – Mathematician and Logician, Springer 2021, p. 244.
  2. ^ Stefan Neuwirth: Lorenzen’s Correspondence, 2021, p. 245
  3. ^ Stefan Neuwirth: Lorenzen’s Correspondence, 2021, p. 245.
  4. ^ Record "Paul Lorenzen" in: Renate Tobies, Biographisches Lexikon in Mathematik promovierter Personen, Rauner Verlag 2006
  • Wilhelm Kamlah, Paul Lorenzen, Logical Propaedeutic: Pre-School of Reasonable Discourse, Washington, D.C.: University Press of America, 1984.
  • Diane Loring Souvaine, Paul Lorenzen and Constructive Mathematics, 1980.

External links