Date: Nov 17, 2012 8:59 AM
Author: LudovicoVan
Subject: Re: Matheology § 152
"William Hughes" <wpihughes@gmail.com> wrote in message

news:28bff553-f679-4e23-8932-a1fb42f1b364@c17g2000yqe.googlegroups.com...

> 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

Williams going around, in circles:

It was already mentioned that it is wrong to use that specific definition to

solve the balls and vase problem.

<http://en.wikipedia.org/wiki/Limit_superior_and_limit_inferior#Special_case:_discrete_metric>

-LV