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Topic: The ambiguity of 0^0 on N
Replies: 106   Last Post: Sep 29, 2013 10:06 AM

 Messages: [ Previous | Next ]
 fom Posts: 1,968 Registered: 12/4/12
Re: The ambiguity of 0^0 on N
Posted: Sep 20, 2013 12:55 AM

On 9/19/2013 10:28 PM, Dan Christensen wrote:
> On Thursday, September 19, 2013 11:24:08 PM UTC-4, fom wrote:
>> On 9/19/2013 10:10 PM, Dan Christensen wrote:
>>

>>> On Thursday, September 19, 2013 10:42:09 PM UTC-4, fom wrote:
>>
>>>> On 9/19/2013 9:24 PM, Dan Christensen wrote:
>>
>>>>
>>
>>>>> On Thursday, September 19, 2013 7:36:57 PM UTC-4, fom wrote:
>>
>>>>
>>
>>>>>
>>
>>>>
>>
>>>>> Then it should be easy to prove 0^0=1 using only natural number arithmetic. How about it?
>>
>>>>
>>
>>>>>
>>
>>>>
>>
>>>>
>>
>>>>
>>
>>>> One can "prove" nothing to another
>>
>>>>
>>
>>>> when the latter refuses to provide
>>
>>>>
>>
>>>> the requested justifications upon
>>
>>>>
>>
>>>> which the claim of the latter is
>>
>>>>
>>
>>>> based.
>>
>>>>
>>
>>>>
>>
>>>>
>>
>>>> Chicken scratch is not honest toil.
>>
>>>>
>>
>>>>
>>
>>>>
>>
>>>> The recursive definition of operations
>>
>>>>
>>
>>>> follows from Skolem's work.
>>
>>>>
>>
>>>>
>>
>>>>
>>
>>>> The class-based definition of 0
>>
>>>>
>>
>>>> follows from Frege's work.
>>
>>>>
>>
>>>>
>>
>>>>
>>
>>>> You have no definitions.
>>
>>>>
>>
>>>
>>
>>> Choose any definitions or axioms you like. I'm not fussy. Just don't assume from the start that 0^0=1, e.g that x^0=1 for all natural numbers x.
>>
>>>
>>
>>
>>
>> Apparently you are "fussy".
>>
>>
>>
>> On your account, one must conclude that 0 is
>>
>> not a natural number.
>>
>>
>>
>> You have objected to that conclusion.

>
> This is getting creepy.
>

You are posting crank nonsense which can
only be made sensible by turning back the clock
to where "first principles" really mattered.

Then, incapable of sustaining a discussion
on such grounds, you cannot even make sense

What would you expect to come from such
a confused position?

Applause?

Date Subject Author
9/18/13 Dan Christensen
9/18/13 Peter Percival
9/18/13 Dan Christensen
9/18/13 Peter Percival
9/18/13 Virgil
9/18/13 Dan Christensen
9/18/13 Rotwang
9/18/13 Rock Brentwood
9/18/13 Rotwang
9/19/13 Dan Christensen
9/19/13 Peter Percival
9/19/13 Dan Christensen
9/19/13 Peter Percival
9/19/13 Dan Christensen
9/19/13 fom
9/19/13 Dan Christensen
9/19/13 fom
9/19/13 Dan Christensen
9/20/13 fom
9/19/13 Virgil
9/19/13 Virgil
9/19/13 Rotwang
9/18/13 Virgil
9/18/13 fom
9/18/13 Rotwang
9/28/13 Shmuel (Seymour J.) Metz
9/29/13 Marshall
9/19/13 Dan Christensen
9/19/13 Dan Christensen
9/19/13 Peter Percival
9/19/13 Dan Christensen
9/19/13 Michael F. Stemper
9/19/13 Dan Christensen
9/19/13 Peter Percival
9/19/13 Dan Christensen
9/19/13 fom
9/19/13 Dan Christensen
9/19/13 fom
9/19/13 Dan Christensen
9/19/13 fom
9/19/13 Dan Christensen
9/20/13 fom
9/20/13 Dan Christensen
9/20/13 fom
9/19/13 fom
9/19/13 fom
9/19/13 Dan Christensen
9/19/13 fom
9/19/13 Peter Percival
9/19/13 Dan Christensen
9/19/13 fom
9/19/13 Rotwang
9/19/13 Dan Christensen
9/19/13 Helmut Richter
9/19/13 Dan Christensen
9/19/13 Peter Percival
9/19/13 Dan Christensen
9/19/13 Peter Percival
9/19/13 Dan Christensen
9/19/13 fom
9/19/13 fom
9/19/13 JT
9/19/13 JT
9/19/13 Michael F. Stemper
9/19/13 JT
9/19/13 JT
9/19/13 JT
9/19/13 Helmut Richter
9/28/13 Shmuel (Seymour J.) Metz
9/19/13 fom
9/19/13 Peter Percival
9/19/13 Dan Christensen
9/19/13 Peter Percival
9/19/13 Karl-Olav Nyberg
9/19/13 fom
9/19/13 fom
9/19/13 Rotwang
9/19/13 Dan Christensen
9/19/13 fom
9/25/13 Rotwang
9/26/13 Dan Christensen
9/27/13 Brian Q. Hutchings
9/19/13 fom
9/18/13 Rock Brentwood
9/19/13 Dan Christensen
9/19/13 Dan Christensen
9/19/13 Rotwang
9/19/13 Dan Christensen
9/19/13 fom
9/20/13 Dan Christensen
9/20/13 fom
9/20/13 Dan Christensen
9/20/13 Peter Percival
9/20/13 Peter Percival
9/20/13 Dan Christensen
9/20/13 Virgil
9/20/13 Peter Percival
9/20/13 fom
9/20/13 Michael F. Stemper
9/20/13 LudovicoVan
9/21/13 Michael F. Stemper
9/21/13 LudovicoVan
9/21/13 Richard Tobin
9/20/13 Peter Percival
9/20/13 Peter Percival
9/21/13 Dan Christensen
9/19/13 Karl-Olav Nyberg