IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-94-010-2718-2_1.html
   My bibliography  Save this book chapter

Set theory from Cantor to Cohen

In: Sets and integration An outline of the development

Author

Listed:
  • D. Van Dalen

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.

Suggested Citation

  • D. Van Dalen, 1972. "Set theory from Cantor to Cohen," Springer Books, in: Sets and integration An outline of the development, pages 1-74, Springer.
    • Handle: RePEc:spr:sprchp:978-94-010-2718-2_1
    DOI: 10.1007/978-94-010-2718-2_1
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-94-010-2718-2_1. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.