Switch to: References

Add citations

You must login to add citations.
  1. A theory of hyperfinite sets.P. V. Andreev & E. I. Gordon - 2006 - Annals of Pure and Applied Logic 143 (1-3):3-19.
    We develop an axiomatic set theory — the Theory of Hyperfinite Sets THS— which is based on the idea of the existence of proper subclasses of large finite sets. We demonstrate how theorems of classical continuous mathematics can be transfered to THS, prove consistency of THS, and present some applications.
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • A definable nonstandard enlargement.Frederik Herzberg - 2008 - Mathematical Logic Quarterly 54 (2):167-175.
    This article establishes the existence of a definable , countably saturated nonstandard enlargement of the superstructure over the reals. This nonstandard universe is obtained as the union of an inductive chain of bounded ultrapowers . The underlying ultrafilter is the one constructed by Kanovei and Shelah [10].
    Download  
     
    Export citation  
     
    Bookmark   6 citations  
    • Home | Bibliographies | About PhilArchive | Contact us | Code of conduct

    CDP Phiosophy Documentation Center
    PhilPapers logo by Andrea Andrews and Meghan Driscoll.
    This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications).

    Use of this site is subject to terms & conditions.
    All rights reserved by The PhilPapers Foundation

    Server: philpapers-web-7cb8d487df-c8cbx uwo