IDEAS home Printed from https://ideas.repec.org/p/cep/stitep/272.html
   My bibliography  Save this paper

The Algebra of Knowledge: Critique and Reformulation

Author

Listed:
  • Kaushik Basu

Abstract

The standard algebra of experessing knowledge and common knowledge in game theory is critically examines. It is argued that this algebra is flawed because it assumes implicitly that information partitions of individuals are common knowledge, and that all individuals know all the truths of science, medicine and other disciplines. A reformulation of the standard algebra is developed; and, in the context of this new algebra, it is demonstrated that the well-known formalization of Lewis' definition of common knowledge in terms of the meet of partitions is not an accurate depiction of Lewis' idea. The paper also comments on the meaning of 'states of the world' and on the agreeing-to-disagree type of claims.

Suggested Citation

  • Kaushik Basu, 1994. "The Algebra of Knowledge: Critique and Reformulation," STICERD - Theoretical Economics Paper Series 272, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  • Handle: RePEc:cep:stitep:272
    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 search for a similarly titled item that would be available.

    More about this item

    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:cep:stitep:272. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (). General contact details of provider: http://sticerd.lse.ac.uk/_new/publications/default.asp .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.