Re: Calculus XOR Probability

On Tue, 14 Mar 2006 10:27:03 +0100, Han de Bruijn
<Han.deBruijn@xxxxxxxxxxxxxx> wrote:

Tony Orlow wrote:

Han, I am not sure what this has to do with XOR, [ .. snip .. ]

We have _one_ and the same formula, with _two_ interpretations,
one in calculus and one in probability theory.

Calculus:

lim 1/n.n = 1 : n blocks with height 1 and width 1/n
n->oo

Probability:

lim n.1/n = 1 : n blocks with height 1/n and width 1
n->oo

Calculus says that the outcome is 1 , while Probability Theory says
that, instead, we must do a dirty trick like this:

lim n.1/n = lim n ( lim 1/a ) = lim 0 = 0
n->oo n->oo a->oo n->oo

Nonsense. Probability theory says no such thing.

Consequently, there is a discrepancy between Calculus and Probability.
Therefore one can accept Calculus or Probability Theory, but not both.

Hence the XOR .

Han de Bruijn


************************

David C. Ullrich
.

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