On 6/6/11, Fred lunnon <fred.lunnon@gmail.com> wrote:
I'm getting lost here.
Exactly why can't a countable set --- eg. rationals x with 0 <= x < 1 --- be assigned uniform probability? [Admittedly, I can't offhand see quite how to do it!]
What has denumerability to do with this anyway? It's also impossible to assign uniform probability to the unbounded reals.
Fred Lunnon
On 6/5/11, Mike Stay <metaweta@gmail.com> wrote:
On Sun, Jun 5, 2011 at 9:27 AM, Eugene Salamin <gene_salamin@yahoo.com> wrote:
From: Mike Stay <metaweta@gmail.com>
To: math-fun <math-fun@mailman.xmission.com> Sent: Sunday, June 5, 2011 8:36 AM Subject: Re: [math-fun] Paradox ... There is no uniform distribution over the positive integers.
And more generally, there is no uniform distribution over any countable set.
Well, no *infinite* countable set. :)
-- Gene
-- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com