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
On Sun, Jun 5, 2011 at 7:57 AM, Adam P. Goucher <apgoucher@gmx.com> wrote:
To clarify, I was referring to a uniform distribution over the positive integers. Obviously, distributions with nonzero probability density functions, such as exponential distributions, are not subject to this paradox.
What have I done wrong?
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