
Re: Open and Shut
Posted:
Feb 4, 2013 3:51 AM


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? > >

