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