• Title of article

    A Theory of Hyperfinite Sets

  • Author/Authors

    Andreev، نويسنده , , P.V. and Gordon، نويسنده , , E.I.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2006
  • Pages
    17
  • From page
    3
  • To page
    19
  • Abstract
    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.
  • Keywords
    Nonstandard set theory , Zermelo universe , Thin class , Hyperfinite set
  • Journal title
    Annals of Pure and Applied Logic
  • Serial Year
    2006
  • Journal title
    Annals of Pure and Applied Logic
  • Record number

    1443829

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=1443829