Hugh ウッディン

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Hugh ウッディン, 1994
(photo by George Bergman)

A scholar of set theory that William Hugh ウッディン (William Hugh Woodin, April 23, 1955 -) belongs to Harvard University from Arizona Tucson. I give many remarkable achievements by theories of internal model and the conclusiveness. The ウッディン radix that is kind of the huge radix is associated with his name.

Table of contents

Origin

It is Robert M. in the University of California, Berkeley I study under Solovay and acquire a doctorate in 1984. The thesis name is Discontinuous Homomorphisms of C(Omega) and Set Theory. I acted as the director of mathematics at Berkeley school in the 2002-2003 year.

I act as a great-grandchild of William Hurt man ウッディン who acted as the United States of America Secretary of the Treasury.

Achievements

I study Ω logic in conjunction with the theory of the generic multi-verse. This states that continuum hypotheses are usually meanings of mathematical プラトニズム, and decision inability is false or. But ウッディン made an objection saying that then a conclusion to be against intuition that all truth in the set-theoretical space could be decided from small part was provided. According to his claim, it is said that there is a truth-value in a continuum hypothesis as a conclusion led (intuitively) by these and other associated mathematical results, and the プラトニズム-like approach meets a law of nature.

I expect that ウッディン can constitute internal model about known almost all huge radices and call this ultimate L (Ultimate L). It is said that I can constitute ゲーデル, and this has a property similar to space. Particularly, a continuum hypothesis becomes truly in this space.

Allied item

• AD+ (English version)

Outside link

• Hugh ウッディン - Mathematics Genealogy Project
• Woodin, W. Hugh (1999). The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal. Walter de Gruyter. ISBN 311015708X. http://books.google.com/books?id=bQ9pQwVt8CsC. 
• Home page at University of California, Berkeley

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This article is taken from the Japanese Wikipedia Hugh ウッディン

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