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Electronic ISBN:  9781470440794 
Product Code:  CONM/690.E 
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Book DetailsContemporary MathematicsVolume: 690; 2017; 322 ppMSC: Primary 03; Secondary 00;
This volume contains the proceedings of the Logic at Harvard conference in honor of W. Hugh Woodin's 60th birthday, held March 27–29, 2015, at Harvard University. It presents a collection of papers related to the work of Woodin, who has been one of the leading figures in set theory since the early 1980s.
The topics cover many of the areas central to Woodin's work, including large cardinals, determinacy, descriptive set theory and the continuum problem, as well as connections between set theory and Banach spaces, recursion theory, and philosophy, each reflecting a period of Woodin's career. Other topics covered are forcing axioms, inner model theory, the partition calculus, and the theory of ultrafilters.
This volume should make a suitable introduction to Woodin's work and the concerns which motivate it. The papers should be of interest to graduate students and researchers in both mathematics and philosophy of mathematics, particularly in set theory, foundations and related areas.ReadershipGraduate students and research mathematicians interested in set theory, foundations, and related areas.

Table of Contents

Articles

H. G. Dales  Norming infinitesimals of large fields

Theodore A. Slaman and Mariya I. Soskova  The enumeration degrees: Local and global structural interactions

A. S. Kechris, M. Sokić and S. Todorcevic  Ramsey properties of finite measure algebras and topological dynamics of the group of measure preserving automorphisms: Some results and an open problem

Andrés Eduardo Caicedo and Jacob Hilton  Topological Ramsey numbers and countable ordinals

Victoria Gitman and Joel David Hamkins  Open determinacy for class games

M. Malliaris and S. Shelah  Open problems on ultrafilters and some connections to the continuum

P. D. Welch  Obtaining Woodin’s cardinals

Ralf Schindler  Woodin’s axiom $(*)$, or Martin’s Maximum, or both?

Grigor Sargsyan  Translation procedures in descriptive inner model theory

Scott Cramer  Implications of very large cardinals

Justin Tatch Moore  What makes the continuum $\aleph _2$

Penelope Maddy  Settheoretic foundations


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This volume contains the proceedings of the Logic at Harvard conference in honor of W. Hugh Woodin's 60th birthday, held March 27–29, 2015, at Harvard University. It presents a collection of papers related to the work of Woodin, who has been one of the leading figures in set theory since the early 1980s.
The topics cover many of the areas central to Woodin's work, including large cardinals, determinacy, descriptive set theory and the continuum problem, as well as connections between set theory and Banach spaces, recursion theory, and philosophy, each reflecting a period of Woodin's career. Other topics covered are forcing axioms, inner model theory, the partition calculus, and the theory of ultrafilters.
This volume should make a suitable introduction to Woodin's work and the concerns which motivate it. The papers should be of interest to graduate students and researchers in both mathematics and philosophy of mathematics, particularly in set theory, foundations and related areas.
Graduate students and research mathematicians interested in set theory, foundations, and related areas.

Articles

H. G. Dales  Norming infinitesimals of large fields

Theodore A. Slaman and Mariya I. Soskova  The enumeration degrees: Local and global structural interactions

A. S. Kechris, M. Sokić and S. Todorcevic  Ramsey properties of finite measure algebras and topological dynamics of the group of measure preserving automorphisms: Some results and an open problem

Andrés Eduardo Caicedo and Jacob Hilton  Topological Ramsey numbers and countable ordinals

Victoria Gitman and Joel David Hamkins  Open determinacy for class games

M. Malliaris and S. Shelah  Open problems on ultrafilters and some connections to the continuum

P. D. Welch  Obtaining Woodin’s cardinals

Ralf Schindler  Woodin’s axiom $(*)$, or Martin’s Maximum, or both?

Grigor Sargsyan  Translation procedures in descriptive inner model theory

Scott Cramer  Implications of very large cardinals

Justin Tatch Moore  What makes the continuum $\aleph _2$

Penelope Maddy  Settheoretic foundations