IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-0348-9031-1_7.html
   My bibliography  Save this book chapter

The Platonistic Standpoint in Mathematics

In: Finsler Set Theory: Platonism and Circularity

Author

Listed:
  • David Booth

    (Three Fold Foundation 307)

  • Renatus Ziegler

    (Mathematisch-Astronomische Sektion am Geotheanum)

Abstract

In Wittenberg’s interesting paper Über adäquate Problemstellungen in der Mathematischen Grundlagenforschung [1953] and in the subsequent discussion (Wittenberg et al. [1954]) there is a clear description of a view of mathematics which is called naive or uncritical Platonism, “inhaltlich”, theological, Platonic philosophy, classical philosophy, and by E. Specker [1954] the “an sich” philosophy. It is said, for example, in Wittenberg’s answer that these views embrace the opinion “that this philosophy seizes upon objective relationships, that in itself it describes a factual situation, which as such remains removed from our powers of discretion”. This “Platonic standpoint” is, however, rejected even if with regret. Why? First of all because of the antinomies!

Suggested Citation

  • David Booth & Renatus Ziegler, 1996. "The Platonistic Standpoint in Mathematics," Springer Books, in: David Booth & Renatus Ziegler (ed.), Finsler Set Theory: Platonism and Circularity, pages 73-77, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-9031-1_7
    DOI: 10.1007/978-3-0348-9031-1_7
    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:978-3-0348-9031-1_7. 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.