Re: Natural Densities are Probabilities

From: Robin Chapman (rjc_at_ivorynospamtower.freeserve.co.uk)
Date: 10/13/04 

Date: Wed, 13 Oct 2004 16:15:05 +0100

Han de Bruijn wrote:

> >> Oh yeah, what is the sum of infinitely many zero's ?
>
> > 0. This is very easy to prove: Suppose that a_j = 0 for
> > all j and let s_n = a_1 + ... + a_n. Suppose that eps > 0.
> > Let N = 1. If n > N then |0 - s_n| = 0 < eps. QED.
>
> Infinitesimals of course. I didn't mean *real* zeroes here !

So you were lying when you talked about
"infinitely many zero's" (sic). :-( 

-- 
Robin Chapman, www.maths.ex.ac.uk/~rjc/rjc.html
"Lacan, Jacques, 79, 91-92; mistakes his penis for a square root, 88-9"
Francis Wheen, _How Mumbo-Jumbo Conquered the World_

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