Re: Calculus XOR Probability
- From: Han de Bruijn <Han.deBruijn@xxxxxxxxxxxxxx>
- Date: Tue, 14 Mar 2006 10:27:03 +0100
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
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
.
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