Date: Feb 4, 2013 3:51 AM
Author: William Elliot
Subject: Re: Open and Shut
On Sun, 3 Feb 2013, David C. Ullrich wrote:

> William Elliot <marsh@panix.com> wrote:

>

> >A subset A, of an ordered set is convex when

> >for all x,y in A, for all a, (x <= a <= y implies a in A).

> >

> >I will call an interval an order convex subset of Q.

> >Given an interval, what's the probablity that it's

> > open, closed, both, neither?

>

> That depends on what initial probability distribution

> you put on the set of intervals.

>

What probability would you put on them?

Could it be uniform?

> >Given an open subset of Q, what's the probablity that it's clopen?

> >Given an closed subset of Q, what's the probablity that it's clopen?

>

>