30 relations: AD+, American Academy of Arts and Sciences, Arizona, California Institute of Technology, Chairman, Constructible universe, Continuum hypothesis, Determinacy, Doctor of Philosophy, Greg Hjorth, Harvard University, Inner model, Ω-logic, Joel David Hamkins, Journal of Mathematical Logic, Journal of Symbolic Logic, Large cardinal, Mathematics, Peter Koellner, Philosophy of mathematics, Quanta Magazine, Robert M. Solovay, Set theory, Truth value, Tucson, Arizona, United States, United States Secretary of the Treasury, University of California, Berkeley, William H. Woodin, Woodin cardinal.

## AD+

In set theory, AD+ is an extension, proposed by W. Hugh Woodin, to the axiom of determinacy.

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## American Academy of Arts and Sciences

The American Academy of Arts and Sciences is one of the oldest learned societies in the United States of America.

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## Arizona

Arizona (Hoozdo Hahoodzo; Alĭ ṣonak) is a U.S. state in the southwestern region of the United States.

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## California Institute of Technology

The California Institute of Technology (abbreviated Caltech)The university itself only spells its short form as "Caltech"; other spellings such as.

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## Chairman

The chairman (also chairperson, chairwoman or chair) is the highest officer of an organized group such as a board, a committee, or a deliberative assembly.

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## Constructible universe

In mathematics, in set theory, the constructible universe (or Gödel's constructible universe), denoted L, is a particular class of sets that can be described entirely in terms of simpler sets.

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## Continuum hypothesis

In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets.

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## Determinacy

Determinacy is a subfield of set theory, a branch of mathematics, that examines the conditions under which one or the other player of a game has a winning strategy, and the consequences of the existence of such strategies.

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## Doctor of Philosophy

A Doctor of Philosophy (PhD or Ph.D.; Latin Philosophiae doctor) is the highest academic degree awarded by universities in most countries.

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## Greg Hjorth

Greg Hjorth (14 June 1963 – 13 January 2011) was an Australian Professor of Mathematics, chess International Master (1984) and joint (with Ian Rogers) Commonwealth Champion in 1983.

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## Harvard University

Harvard University is a private Ivy League research university in Cambridge, Massachusetts.

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## Inner model

In set theory, a branch of mathematical logic, an inner model for a theory T is a substructure of a model M of a set theory that is both a model for T and contains all the ordinals of M.

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## Ω-logic

In set theory, Ω-logic is an infinitary logic and deductive system proposed by as part of an attempt to generalize the theory of determinacy of pointclasses to cover the structure H_.

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## Joel David Hamkins

Joel David Hamkins is an American mathematician and philosopher based at the City University of New York.

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## Journal of Mathematical Logic

The Journal of Mathematical Logic was established in 2001 and is published by World Scientific.

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## Journal of Symbolic Logic

The Journal of Symbolic Logic is a peer-reviewed mathematics journal published quarterly by Association for Symbolic Logic.

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## Large cardinal

In the mathematical field of set theory, a large cardinal property is a certain kind of property of transfinite cardinal numbers.

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## Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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## Peter Koellner

Peter Koellner is Professor of Philosophy at Harvard University.

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## Philosophy of mathematics

The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics, and purports to provide a viewpoint of the nature and methodology of mathematics, and to understand the place of mathematics in people's lives.

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## Quanta Magazine

Quanta Magazine is an editorially independent online publication of the Simons Foundation covering developments in mathematics, theoretical physics, theoretical computer science and the basic life sciences.

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## Robert M. Solovay

Robert Martin Solovay (born December 15, 1938) is an American mathematician specializing in set theory.

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## Set theory

Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.

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## Truth value

In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth.

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## Tucson, Arizona

Tucson is a city and the county seat of Pima County, Arizona, United States, and home to the University of Arizona.

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## United States

The United States of America (USA), commonly known as the United States (U.S.) or America, is a federal republic composed of 50 states, a federal district, five major self-governing territories, and various possessions.

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## United States Secretary of the Treasury

The Secretary of the Treasury is the head of the U.S. Department of the Treasury which is concerned with financial and monetary matters, and, until 2003, also included several federal law enforcement agencies.

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## University of California, Berkeley

The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public research university in Berkeley, California.

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## William H. Woodin

William Hartman Woodin (May 27, 1868 – May 3, 1934) was a U.S. industrialist.

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## Woodin cardinal

In set theory, a Woodin cardinal (named for W. Hugh Woodin) is a cardinal number λ such that for all functions there exists a cardinal κ j(f)(κ) ⊆ M. An equivalent definition is this: λ is Woodin if and only if λ is strongly inaccessible and for all A \subseteq V_\lambda there exists a \lambda_A -A-strong.

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## Redirects here:

Hugh Woodin, Ultimate L, William Hugh Woodin.

## References

[1] https://en.wikipedia.org/wiki/W._Hugh_Woodin