Date: Nov 17, 2012 8:26 AM Author: William Hughes Subject: Re: Matheology § 152 Note that *set* limits have some important properties.

Given a sequence of sets {B_1,B_2,B_3,...}

then the set limit always exists (it

may be the empty set).

If we have

A = set limit {B_1,B_2,B_3....}

Then

A is a set

A cannot contain an element that is not contained

in any of the B's