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
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
Journal title :
Annals of Pure and Applied Logic
