Date: Sep 12, 2013 3:45 AM
Author: Peter Percival
Subject: Re: Leaving 0^0 undefined -- A number-theoretic rationale
Dan Christensen wrote:

> On Wednesday, September 11, 2013 5:09:52 PM UTC-4, Peter Percival wrote:

>> Dan Christensen wrote:

>>

>>

>>

>>>

>>

>>> Show me a contradiction that arises from 0^0 = 0.

>>

>>

>>

>> The product of the empty set is 1, hence 0^0 = 1. That contradicts 0^0

>>

>> = 0. Therefore 0^0 doesn't = 0.

>>

>

> What has this got to do with number theory? You need something along the lines of 0^0=0 => 0=1.

>

> Dan

> Download my DC Proof 2.0 software at http://www.dcproof.com

>

From 0^0=1 and 0^0=0 you can clearly deduce 0=1. If you reject the

conclusion then you must reject one of the premises. The one to reject

is 0^0=0.

--

Sorrow in all lands, and grievous omens.

Great anger in the dragon of the hills,

And silent now the earth's green oracles

That will not speak again of innocence.

David Sutton -- Geomancies