Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Bart Goddard

Posts: 1,485
Registered: 12/6/04
Re: Formal proof of the ambiguity of 0^0
Posted: Nov 1, 2013 5:31 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Dan Christensen <Dan_Christensen@sympatico.ca> wrote in
news:84e44484-0d38-423b-9687-21e2f0a3477c@googlegroups.com:

> On Friday, November 1, 2013 4:14:52 PM UTC-4, Bart Goddard wrote:
>

>> Your version of "thinking" results in
>>
>> contradictions.

>
> No contradictions here.


Is 0^0 defined in your system or not? You
claim your system is a basis for leaving 0^0
undefined. But the first thing you do is
define it to be "an uspecified integer."
And further, your calculations depend upon
it being defined.

It's a plain contradiction if something is
both defined and not defined.

>> why bother formalizing it now?
>>

>
> To understand exactly why 0^0 should be left undefined and how to work
> with this notion in practice.


But we already knew that, and we knew it better than
you ever will, and we know it with clear-headed
thinking, not self-contradictory nonsense.


>> At no point did I suggest using combinatorics to construct
>> anything.

>
> Apparently you don't understand how functions are formally
> constructed.


Apparently, you still can't read. You accused me of
something which I did not do. You continue your
accusation. I'm not surprised; contradictions form
a dense set of positive measure in your head.

Just try to answer the first question. Is 0^0
defined in your system?


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

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.