Gerald E. Sacks


Gerald E. Sacks

Gerald Enoch Sacks (* 1933 in Brooklyn) ist ein US-amerikanischer mathematischer Logiker.

Sacks promovierte 1961 bei John Barkley Rosser an der Cornell University (On Suborderings of Degrees of Recursive Unsolvability). Ab 1962 war er Assistant Professor und danach Associate Professor an der Cornell University. 1961/62 und 1974/75 war er am Institute for Advanced Study. Ab 1967 war er Professor am Massachusetts Institute of Technology (bis 2006 ist er dort Professor Emeritus) und gleichzeitig ab 1972 Professor an der Harvard University. Er war Gastprofessor am Caltech (1983/83) und an der University of Chicago (1988/89).

1966/67 war er Guggenheim Fellow und 1979 Senior Fulbright-Hayes Scholar.

Zu seinen Doktoranden zählen Harvey Friedman, Sy Friedman, Leo Harrington, Richard A. Shore, Theodore Slaman, Stephen G. Simpson (Professor an der Pennsylvania State University), Lenore Blum, R. W. Robinson (Professor an der University of Georgia).

Sacks beschäftigte sich besonders mit Rekursionstheorie. Sein Dichtesatz besagt, dass die rekursiv aufzählbaren Turing Grade (auch Degrees of unsolvability genannt) dicht liegen[1]. Nach ihm ist eine Forcing-Methode benannt (Sacks Forcing)[2].

Schriften

  • Degrees of unsolvability, Princeton University Press 1963, 1966
  • Saturated Model Theory, Benjamin 1972
  • Higher Recursion theory, Springer 1990
  • Selected Logic Papers, World Scientific 1999
  • Mathematical Logic in the 20th Century, World Scientific 2003

Weblinks

Einzelnachweise

  1. The recursively enumerable degrees are dense, Annals of Mathematics, Bd. 80, 1964, S.300
  2. Sacks Forcing with perfect closed sets, Proc.Symp.Pure Math. Bd.13, Teil 1 (Axiomatic Set Theory), 1971, S.331

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