Azriel Lévy Explained

Azriel Lévy
Native Name:עזריאל לוי
Native Name Lang:he
Birth Date:c. 1934
Nationality:Israeli
Fields:Mathematics, Logic
Workplaces:Hebrew University of Jerusalem
Alma Mater:Hebrew University of Jerusalem
Doctoral Advisor:Abraham Fraenkel, Abraham Robinson
Known For:Lévy hierarchy, Lévy collapse, Feferman–Levy model

Azriel Lévy[1] (Hebrew: עזריאל לוי; born c. 1934) is an Israeli mathematician, logician, and a professor emeritus at the Hebrew University of Jerusalem.

Biography

Lévy obtained his Ph.D. at the Hebrew University of Jerusalem in 1958, under the supervision of Abraham Fraenkel and Abraham Robinson. Later, using Cohen's method of forcing, he proved several results on the consistency of various statements contradicting the axiom of choice. For example, with J. D. Halpern he proved that the Boolean prime ideal theorem does not imply the axiom of choice. He discovered the models L[''x''] used in inner model theory. He also introduced the notions of Lévy hierarchy of the formulas of set theory, Levy collapse and the Feferman–Levy model.

His students include Dov Gabbay, Moti Gitik, and Menachem Magidor.

Selected works

References

Notes and References

  1. More commonly written with an accent in English sources, e.g., A. Lévy: A hierarchy of formulas in set theory, Memoirs of the American Mathematical Society, 57, 1965.
  2. Baumgartner, J. E.. James Earl Baumgartner. Review: Basic set theory by Azriel Lévy. Bull. Amer. Math. Soc. (N.S.). 1980. 3, Part 1. 1. 772–774. 10.1090/S0273-0979-1980-14817-X. free.