Re: Natural Densities are Probabilities

From: Han de Bruijn (Han.deBruijn_at_DTO.TUDelft.NL)
Date: 10/13/04 

Date: Wed, 13 Oct 2004 16:43:31 +0200

In message <vv1qm0ht7mpfi653amkji7am30p03ah7d2@4ax.com>
David C. Ullrich:

>> Do you really believe that I didn't know that ? ;-)

> If you did know that then it's very hard to understand
> your comment.

Yeah, it's hard to understand Other human beings. Isn't it ?
Especially when they do Not belong to Your math species ...

>> 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 !

[ .. rest of complete misunderstanding deleted ... ]

> I'll give you a hint: I don't know what you think you're
> accomplishing with all this, but what you're _actually_
> accomplishing is just making a fool of yourself,

Battle rule # 1 : Never underestimate your enemy.

> pontificating on subjects where you're totally
> unaware of the basic definitions.

You have not the slightest idea whom you are talking to.
Maybe change your mind if you skip through some writeups:

http://hdebruijn.soo.dto.tudelft.nl/jaar2004/Fransen2.pdf
http://hdebruijn.soo.dto.tudelft.nl/jaar2004/Fransen3.pdf

They are mine. See ? I'm not THAT much ignorant.

> That's not a paraphrase of what I wrote. It's also nonsense.
> If E_j = {j} then the density of E_j is 0, not 1/N. And the
> final "let N -> oo and you're done" needs to be justified.

Seems virtually impossible to communicate with:

> David C. Ullrich

Sigh !

Han de Bruijn

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