**From:** Christian Szegedy (*szegedy@or.uni-bonn.de*)

**Date:** Wed Aug 25 2004 - 04:09:33 MDT

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Tomaz Kristan wrote:

*>The problem arises after infinitely many such shakes.
*

*>
*

No. The problem arises while defining the notion "after infinitely"

many shakes".

The infinite iterate of a function can be defined under certain

circumstances, but there is no general definition of this notion.

("Can be defined" means that one uses the axioms to define

a new function in a way that it coincides with the intuition of the

mathematician. It does not means that it conforms to some

absolute general principle of "infinite iteration".)

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