Menachem Magidor

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Menachem Magidor ( Hebrew מנחם מגידור; *  January 24, 1946 in Petah Tikva , Israel ) is an Israeli mathematician who specializes in axiomatic set theory and mathematical logic .

Menachem Magidor in December 2006

Magidor received his PhD in 1973 from Azriel Levy at the Hebrew University in Jerusalem ( On Super Compact Cardinals ). He was later a professor at the Hebrew University and its president until 2008.

Magidor made important contributions to the theory of large cardinal numbers , the arithmetic of cardinal numbers and singular cardinal numbers , the forcing method and non-monotonic logic. He was involved in the negative solution of the conjecture of singular cardinal numbers, an important problem in set theory (with Karel Prikry , Jack Silver , W. Hugh Woodin , Saharon Shelah , William J. Mitchell , Moti Gitik ). The conjecture is that the smallest cardinal number for which the Generalized Continuum Hypothesis does not hold is a singular cardinal number. With Matthew Foreman and Saharon Shelah, he proved the consistency of a generalization of Martin's axiom introduced in 1988 , which they called Martin's maximum.

In 2005 he was a Gödel Lecturer ( Skolem-Löwenheim theorems for generalized logics ). In 1997 he gave the Tarski Lectures ( The Future of Set Theory: Is Gödel's Program Still Alive? ). In 1986 he was invited speaker at the International Congress of Mathematicians in Berkeley (Large cardinals and small sets: a survey). In 2016 he was elected a member of the American Academy of Arts and Sciences .

Sy Friedman (left), Hugh Woodin , Menachem Magidor (right), Oberwolfach 2005

literature

  • with Moti Gitik: The singular cardinals problem revisited, in Judah, Just, Woodin (editor) Set theory of the Continuum , Springer 1992
  • On the singular cardinal's problem, Part 1, Israel J. Math., Vol. 28, 1977, p. 1, Part 2, Annals of Mathematics, Vol. 106, 1977, p. 517

Individual evidence

  1. ^ Foreman, Magidor, Shelah Martin 's Maximum, Saturated Ideals and non regular ultrafilters 1,2 , Annals of Mathematics Vol. 127, 1988, pp. 1, 521
  2. ^ American Academy of Arts and Sciences : Newly Elected Fellows. In: amacad.org. Retrieved April 22, 2016 .
personal data
SURNAME Magidor, Menachem
ALTERNATIVE NAMES מנחם מגידור (Hebrew)
BRIEF DESCRIPTION Israeli mathematical logician
DATE OF BIRTH January 24, 1946
PLACE OF BIRTH Petah Tikva , Israel