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W. Hugh Woodin
""Hugh Woodin.jpg
Hugh Woodin in 1994
(photo by George Bergman)
Born (1955-04-23) April 23, 1955 (age 63)
"Tucson, Arizona, U.S.
Nationality "American
Alma mater University of California, Berkeley
Scientific career
Fields "Mathematics
Institutions "University of California, Berkeley
"California Institute of Technology
"Harvard University
"Doctoral advisor "Robert M. Solovay
Doctoral students "Joel David Hamkins
"Gregory Hjorth

William Hugh Woodin (born April 23, 1955) is an American mathematician and "set theorist at "Harvard University. He has made many notable contributions to the theory of "inner models and "determinacy. A type of "large cardinal, the "Woodin cardinal, bears his name.



Born in "Tucson, "Arizona, Woodin earned his "Ph.D. from the University of California, Berkeley in 1984 under "Robert M. Solovay. His dissertation title was Discontinuous Homomorphisms of C(Omega) and Set Theory. He served as "chair of the Berkeley mathematics department for the 2002–2003 academic year. Woodin is a managing editor of the "Journal of Mathematical Logic. He was elected a Fellow of the "American Academy of Arts and Sciences in 2000.[1]

He is the great-grandson of "William Hartman Woodin, former "Secretary of the Treasury.


He has done work on the theory of generic multiverses and the related concept of "Ω-logic, which suggested an argument that the "continuum hypothesis is either undecidable or false in the sense of "mathematical platonism. Woodin criticizes this view arguing that it leads to a counterintuitive reduction in which all truths in the set theoretical universe can be decided from a small part of it. He claims that these and related mathematical results lead (intuitively) to the conclusion that Continuum Hypothesis has a "truth value and the Platonistic approach is reasonable.

Woodin now predicts that there should be a way of constructing an inner model for almost all known large cardinals, which he calls the Ultimate L and which would have similar properties as "Gödel's constructible universe. In particular, the Continuum Hypothesis would be true in this universe.["citation needed][2]

See also[edit]


  1. ^ "Book of Members, 1780–2010: Chapter W" (PDF). American Academy of Arts and Sciences. Retrieved June 3, 2011. 
  2. ^ Wolchover, Natalie (26 November 2013). "To Settle Infinity Dispute, a New Law of Logic". "Quanta Magazine. 

External links[edit]

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