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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

Logical dreams


Author: Saharon Shelah
Journal: Bull. Amer. Math. Soc. 40 (2003), 203-228
MSC (2000): Primary 03-02, 03Bxx, 03Exx; Secondary 03Cxx, 03C45
Published electronically: February 12, 2003
MathSciNet review: 1962296
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Abstract: We discuss the past and future of set theory, axiom systems and independence results. We deal in particular with cardinal arithmetic.


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Additional Information

Saharon Shelah
Affiliation: Institute of Mathematics, The Hebrew University, Jerusalem, Israel; Mathematics Department, Rutgers University-New Brunswick, Piscataway, New Jersey 08854-8019
Email: shelah@math.huji.ac.il

DOI: http://dx.doi.org/10.1090/S0273-0979-03-00981-9
PII: S 0273-0979(03)00981-9
Keywords: Mathematical logic, set theory, independence, incompleteness, forcing, large cardinals
Published electronically: February 12, 2003
Additional Notes: I would like to thank Alice Leonhardt for the beautiful typing. This paper is based on my lecture (and the preparations to the lecture) during the conference Mathematical Challenges of the 21st Century and is publication E23
Article copyright: © Copyright 2003 American Mathematical Society