Set theory question

From: Pereger (none_at_none.none)
Date: 11/21/04 

Date: Sun, 21 Nov 2004 00:18:37 GMT

Given a directed set (A,>=) , does a "far-reaching" chain exist? I mean a
chain C in A such that for every a in A there c >= a (c is in C).

Thanks,
Pereger