Re: Probability in an infinite sample space
- From: Han de Bruijn <Han.deBruijn@xxxxxxxxxxxxxx>
- Date: Fri, 24 Mar 2006 10:14:27 +0100
Robert Low wrote:
it doesn't work. You *cannot* assign uniform infinitesimal probabilities
to the integers in such a way that the probability of choosing
a multiple of three is one-third. You can't assign infinitesimal
probabilities to the integers in *any way* so that the probability
of choosing integers from any particular set is a finite number:
it is always either infinitesimal or undefined.
That's the other way around: *you* can not do it, but *I* can. Standard
mathematics is not powerful enough, admittedly. That's because they try
to drive in a screw with a pneumatic hammer. But we engineers know that
it can be done in a more handsome way.
http://groups.google.nl/group/sci.math.num-analysis/msg/a49187dc40937332?hl=en&
Han de Bruijn
.
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