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Foundations of Mathematics [Pehme köide]

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  • Formaat: Paperback / softback, 332 pages, kõrgus x laius: 254x178 mm, kaal: 500 g
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 01-Feb-2017
  • Kirjastus: American Mathematical Society
  • ISBN-10: 1470422565
  • ISBN-13: 9781470422561
Teised raamatud teemal:
  • Formaat: Paperback / softback, 332 pages, kõrgus x laius: 254x178 mm, kaal: 500 g
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 01-Feb-2017
  • Kirjastus: American Mathematical Society
  • ISBN-10: 1470422565
  • ISBN-13: 9781470422561
Teised raamatud teemal:
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.
Preface ix
Bibliography of W. Hugh Woodin xiii
List of Participants
xix
Norming infinitesimals of large fields 1(30)
H. G. Dales
The enumeration degrees: Local and global structural interactions
31(38)
Theodore A. Slaman
Mariya I. Soskova
Ramsey properties of finite measure algebras and topological dynamics of the group of measure preserving automorphisms: Some results and an open problem
69(18)
A. S. Kechris
M. Sokic
S. Todorcevic
Topological Ramsey numbers and countable ordinals
87(34)
Andres Eduardo Caicedo
Jacob Hilton
Open determinacy for class games
121(24)
Victoria Gitman
Joel David Hamkins
Open problems on ultrafilters and some connections to the continuum
145(16)
M. Malliaris
S. Shelah
Obtaining Woodin's cardinals
161(16)
P. D. Welch
Woodin's axiom (*), or Martin's maximum, or both?
177(28)
Ralf Schindler
Translation procedures in descriptive inner model theory
205(20)
Grigor Sargsyan
Implications of very large cardinals
225(34)
Scott Cramer
What makes the continuum α2
259(30)
Justin Tatch Moore
Set-theoretic foundations
289
Penelope Maddy
Andres Eduardo Caicedo, Mathematical Reviews, Ann Arbor, MI.

James Cummings, Carnegie Mellon University, Pittsburgh, PA.

Peter Koellner, Harvard University, Cambridge, MA.

Paul B. Larson, Miami University, Oxford, OH.