ERDŐS AND SET THEORY

@article{Kanamori2014ERDSAS,
  title={ERDŐS AND SET THEORY},
  author={Akihiro Kanamori},
  journal={The Bulletin of Symbolic Logic},
  year={2014},
  volume={20},
  pages={449 - 490}
}
  • A. Kanamori
  • Published 1 December 2014
  • Mathematics
  • The Bulletin of Symbolic Logic
Paul Erdős (26 March 1913—20 September 1996) was a mathematician par excellence whose results and initiatives have had a large impact and made a strong imprint on the doing of and thinking about mathematics. A mathematician of alacrity, detail, and collaboration, Erdős in his six decades of work moved and thought quickly, entertained increasingly many parameters, and wrote over 1500 articles, the majority with others. His modus operandi was to drive mathematics through cycles of problem, proof… 
ICLE Set theory and the analyst
This survey is motivated by specific questions arising in the similarities and contrasts between (Baire) category and (Lebesgue) measure—category-measure duality and non-duality, as it were. The bulk
Set theory and the analyst
This survey is motivated by specific questions arising in the similarities and contrasts between (Baire) category and (Lebesgue) measure—category-measure duality and non-duality, as it were. The bulk
On the arithmetic of density

References

SHOWING 1-10 OF 342 REFERENCES
Paul Erdős and his mathematics
TLDR
The editors have collected, besides some personal reminiscences by Paul's old friends, mainly survey articles on his work, and on areas he initiated or worked in, which has contributed to changing the common view that Erdos worked only in combinatorics and combinatorial number theory.
Paul Erdős: Life and Work
  • B. Bollobás
  • Computer Science
    The Mathematics of Paul Erdős I
  • 2013
Paul Erdős' Set Theory
  • A. Hajnal
  • Mathematics
    The Mathematics of Paul Erdős II
  • 2013
Paul Erdős has published more than one hundred research papers in set theory. It is my rough estimate that these contain more than one thousand theorems, many having an interest in their own right.
The Mathematics of Paul Erdős I
P aul Erdős died September 20, 1996, and a memorial article appears elsewhere in this issue. This feature article gives a cross section of his monumental oeuvre. Most of Erdős’s work falls roughly
Sets and Extensions in the Twentieth Century
SOME PROBLEMS ON PINITR AND INFINITE GRAPHS
Many of the problems Hajnal and I posed 15 years ago have been solved positively or negatively or shown to be undecidable. I state soae of the remaining ones and add a few new ones. I do not give a
Acta Mathematica
THIS journal, which has already won for itself the reputation of being one of the leading mathematical journals, not of the North merely, but of the world, sprang into life at the end of 1882, is
A Partition Calculus in Set Theory
Dedekind’s pigeon-hole principle, also known as the box argument or the chest of drawers argument (Schubfachprinzip) can be described, rather vaguely, as follows. If sufficiently many objects are
Remark on a Theorem of Lindström
  • P. Erdös
  • Mathematics
    J. Comb. Theory, Ser. A
  • 1974
On set systems having paradoxical covering properties
1. R2-phenomena . Our set theoretic notation will be standard with one exception . Since this paper is largely concerned with powers of ordinals, the symbol ~" will always denote ordinal
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