Why is it so difficult?

From: mike3 <mike4ty4@xxxxxxxxx>
Date: Fri, 10 Aug 2007 00:56:16 -0700

Hi.

Why is it so difficult, anyway, to extend tetration to real numbers?
For example, why is it easier to define 2 raised to the one half
power, but hard to define 2 tetrated to the one half tower?

.

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