Set theory from Cantor to Cohen

D. Van Dalen

A chapter in Sets and integration An outline of the development, 1972, pp 1-74 from Springer

Abstract: Abstract Set theory has dutifully performed the tasks that its founder Georg Cantor intended it to do and many more than Cantor could even dream of. In the present historical survey we have tried to trace some of the ideas and problems that were developed. Considering the scope of the lectures we had to restrict our attention to a modest part of set theory. We have choosen to follow set theory from Cantor via Zermelo, Fraenkel, Von Neumann, Gödel to Cohen and we hoped in this way to be faithful to the spirit of Cantor. As a consequence many subjects had to be excluded, among them other variants of axiomatic set theory (e.g. Quine’s systems), the theory of types, topology, descriptive set theory (projective sets, etc.), hierarchy theory and many other subjects. Owing to the explosion in axiomatic set theory, following Cohen’s fundamental papers, we could only superficially touch the recent results. A reader interested in these new methods and results should turn to literature.

Keywords: Choice Function; Number Class; Continuum Hypothesis; Measurable Cardinal; Inaccessible Cardinal (search for similar items in EconPapers)
Date: 1972
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-010-2718-2_1

Ordering information: This item can be ordered from
http://www.springer.com/9789401027182

DOI: 10.1007/978-94-010-2718-2_1

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().