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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 60)
Tucson, Arizona, U.S.
Nationality American
Fields Mathematics
Institutions University of California, Berkeley
California Institute of Technology
Harvard University
Alma mater University of California, Berkeley
Doctoral advisor Robert M. Solovay
Doctoral students Joan Bagaria
James Cummings
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.

Biography[edit]

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.

Work[edit]

He has done work on the theory of generic multiverses and 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]

See also[edit]

References[edit]

  1. ^ "Book of Members, 1780–2010: Chapter W" (PDF). American Academy of Arts and Sciences. Retrieved June 3, 2011. 

External links[edit]


Original courtesy of Wikipedia: http://en.wikipedia.org/wiki/W._Hugh_Woodin — Please support Wikipedia.
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W. Hugh Woodin (Harvard University) The comparison obstruction.

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2 news items

Institute for Ethics and Emerging Technologies

Institute for Ethics and Emerging Technologies
Wed, 28 Jan 2015 19:22:30 -0800

Does the Continuum Hypothesis have an answer? This question is pointed out by professor W. Hugh Woodin. He admits that 15 years ago he thought it was false. Has his opinion changed? You can see from this lecture.

Science World Report

Science World Report
Tue, 23 Apr 2013 14:00:59 -0700

Infinity (May 31 at NYU Skirball Center for the Performing Arts) - Featuring W. Hugh Woodin from UC-Berkeley, this looks at a subject extensively studied by philosophers, mathematicians, and - more recently - physicists and cosmologists. Through an ...
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