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Topic: Formal proof of the ambiguity of 0^0
Replies: 163   Last Post: Nov 13, 2013 10:45 AM

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Bart Goddard

Posts: 1,594
Registered: 12/6/04
Re: Formal proof of the ambiguity of 0^0
Posted: Oct 17, 2013 6:28 AM
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Dan Christensen <Dan_Christensen@sympatico.ca> wrote in
news:e9e34697-3556-43ab-91e4-e57b88cbd44f@googlegroups.com:

> To follow-up on my previous postings at sci.math

...because you think garbage will evolve into real
mathematics if you just keep repeating it...?

Your assertion is that 0^0 can be defined to be
any value and yet have all the usual rules of
exponents apply. You've been given examples
that show this is a false statement and have
declined to respond to those examples. Rather,
you just re-garbage the group.

Note that each of your "theorems" about the
rules of exponents specifically exclude using
0 as a base. Using "logic" like this, you could
define 3^2 to be anything and just word your
theorems "If a is not 3, then these rules work."

So you're asserting that 0^0 can be defined any
way one wants, and it won't matter, _provided that
one doesn't actually look at 0^0. How utterly
insane is that. Guess what? I have developed
a new technique whereby I cut off your feet and
yet you can still walk as normal, provided you
don't try to walk.

This reminds me of something....oh yeah....At
a former employer, the faculty had not had raises
for a number of years. The oatmeal-brained provost
announced with great joy one day that she had come
up with a brilliant scheme for getting us all 3%
raises. It would be paid for by cutting Summer
pay enough to cover the costs. Since many of
the faculty were NOT completely crazy, we protested
and the conversation got quite heated. It ended
with her screaming, "ALL YOU HAVE TO DO TO GET A
RAISE IS NOT TEACH IN THE SUMMER!!!" I mean,
sheesh! She'd gone to all that hard work of
committing Daylight Saving Time to our salaries and
we were so ungrateful. (It was
suggested that she double her own monthly salary
but only work 3 months and then report back to us
on how she was enjoying her raise. Response:
"Faculty is faculty and administration is administration!"
Ah, that tautology clears that up, thanks.)

It doesn't matter how loudly you scream it, it's
still crazy to say "ALL YOU HAVE TO DO TO DEFINE
0^0 = 7 IS NEVER TO WRITE 0^0!!!", which is exactly
what you're saying when all your theorems begin
with "if a is not 0".

Sane up, dude.



Date Subject Author
10/16/13
Read Formal proof of the ambiguity of 0^0
Dan Christensen
10/16/13
Read Re: Formal proof of the ambiguity of 0^0
Brian Q. Hutchings
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
ross.finlayson@gmail.com
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Robin Chapman
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
fom
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Peter Percival
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
11/2/13
Read Re: Formal proof of the ambiguity of 0^0
Brian Q. Hutchings
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/18/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Ben Bacarisse
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Robin Chapman
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Brian Q. Hutchings
10/17/13
Read Re: Formal proof of the ambiguity of 0^0
Brian Q. Hutchings
10/18/13
Read Re: Formal proof of the ambiguity of 0^0
Robin Chapman
10/18/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/23/13
Read Re: Formal proof of the ambiguity of 0^0
Shmuel (Seymour J.) Metz
10/25/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/29/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Robin Chapman
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Peter Percival
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Richard Tobin
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
fom
10/31/13
Read Re: Formal proof of the ambiguity of 0^0
David Bernier
10/31/13
Read Re: Formal proof of the ambiguity of 0^0
David Bernier
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/31/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/31/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/31/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/31/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/31/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Peter Percival
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
JT
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Peter Percival
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Brian Q. Hutchings
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Brian Q. Hutchings
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
JT
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
Peter Percival
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
JT
10/30/13
Read Re: Formal proof of the ambiguity of 0^0
JT
10/30/13
Read what is 0^0 in complex. quaternion & octonion units, again
Brian Q. Hutchings
10/18/13
Read Re: Formal proof of the ambiguity of 0^0
Robin Chapman
10/18/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/18/13
Read Re: Formal proof of the ambiguity of 0^0
fom
10/18/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/18/13
Read Re: Formal proof of the ambiguity of 0^0
fom
10/18/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/18/13
Read Re: Formal proof of the ambiguity of 0^0
Peter Percival
10/18/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/20/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/20/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/20/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/20/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/20/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/20/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/20/13
Read Re: Formal proof of the ambiguity of 0^0
Michael F. Stemper
10/20/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/20/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/23/13
Read Re: Formal proof of the ambiguity of 0^0
Brian Q. Hutchings
10/20/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/20/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/20/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/20/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/20/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/21/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/21/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/21/13
Read Re: Formal proof of the ambiguity of 0^0
Peter Percival
10/21/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/21/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/21/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/21/13
Read Re: Formal proof of the ambiguity of 0^0
Peter Percival
10/21/13
Read Re: Formal proof of the ambiguity of 0^0
fom
10/21/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
10/21/13
Read Re: Formal proof of the ambiguity of 0^0
JT
10/21/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/21/13
Read Re: Formal proof of the ambiguity of 0^0
JT
10/21/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/20/13
Read Re: Formal proof of the ambiguity of 0^0
Peter Percival
10/20/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/23/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
10/23/13
Read Re: Formal proof of the ambiguity of 0^0
fom
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
fom
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
11/1/13
Read base-one accounting (just day, Duh, thank you
Brian Q. Hutchings
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
Brian Q. Hutchings
11/2/13
Read Re: Formal proof of the ambiguity of 0^0
Robin Chapman
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
ross.finlayson@gmail.com
11/3/13
Read Re: Formal proof of the ambiguity of 0^0
ross.finlayson@gmail.com
11/3/13
Read 0^0
Brian Q. Hutchings
11/1/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
11/2/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
11/2/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
11/2/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
11/12/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
11/12/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
11/12/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
11/12/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
11/13/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
11/13/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
11/2/13
Read Re: Formal proof of the ambiguity of 0^0
Virgil
11/2/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
11/2/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
11/2/13
Read Re: Formal proof of the ambiguity of 0^0
Paul
11/3/13
Read Re: Formal proof of the ambiguity of 0^0
Bart Goddard
11/2/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
11/2/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
11/2/13
Read Re: Formal proof of the ambiguity of 0^0
Ki Song
11/2/13
Read Re: Formal proof of the ambiguity of 0^0
Virgil
11/2/13
Read Re: Formal proof of the ambiguity of 0^0
Michael F. Stemper
11/2/13
Read Re: Formal proof of the ambiguity of 0^0
Virgil
11/3/13
Read Re: Formal proof of the ambiguity of 0^0
Michael F. Stemper
11/3/13
Read Re: Formal proof of the ambiguity of 0^0
Robin Chapman
11/3/13
Read Re: Formal proof of the ambiguity of 0^0
fom
11/3/13
Read Re: Formal proof of the ambiguity of 0^0
Jussi Piitulainen
11/3/13
Read Re: Formal proof of the ambiguity of 0^0
fom
11/4/13
Read Re: Formal proof of the ambiguity of 0^0
Jussi Piitulainen
11/3/13
Read Re: Formal proof of the ambiguity of 0^0
JT
11/3/13
Read Re: Formal proof of the ambiguity of 0^0
JT
11/12/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen
11/13/13
Read Re: Formal proof of the ambiguity of 0^0
Dan Christensen

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