Re: Bring Math Arguments against this FERMAT LAST THEOREM PROOF

On 29 Aug 2005 16:15:40 -0700, matt271829-news@xxxxxxxxxxx wrote:

>quasi wrote:
>> On Mon, 29 Aug 2005 17:41:31 EDT, george ghiata
>> <george_ghiata@xxxxxxxxxxx> wrote:
>>
>> >Hello,
>> >In the case X*Y*Z divisible by 3 I need only to consider
>> >the case Z divisible by 3
>> >because X,Y ,Z are INTEGERS(NOT natural numbers)
>> >george
>>
>> Ok, fine -- and while you never said that in your proof (many readers
>> would have assumed you were talking about positive integers), by
>> allowing X,Y,Z to be integers, not necessarily positive, that does
>> deal with the objection.
>>
>> Even though you are writing the equation in the form X^3+Y^3=Z^3 which
>> is not fully symmetic, the fact that the variables X,Y,Z are not
>> required to be positive allows the names and signs to be adjusted so
>> that if any one of X,Y,Z is a multiple of 3, then we can assume it's
>> Z.
>>
>> So, with that understanding, the 2 cases you originally specified are
>> OK. Just make sure that later you don't try to assert an inequality
>> which implicitly assumes a positivity that we're abandoning right
>> here.
>>
>> So you have these 2 cases:
>>
>> case 1: X,Y,Z are not multiples of 3 (equivalently, X*Y*Z is not a
>> multiple of 3).
>>
>> case 2: Z is a multiple of 3 (but X,Y are not multiples of 3).
>>
>> Ok, Matt, pass the ball back to you. Does that satisfy your
>> objections?
>>
>
>My understanding of George's response to my comments is that the proof
>we are looking at right now deals with your case 1 (X*Y*Z not divisible
>by 3) and not, as George originally stated, Z not divisible by 3.
>
>If this understanding is correct then the assumption that X is not
>divisible by 3, which I queried, is justified. Also, the consideration
>of Y divisible by 3 is unnecessary, as George has I believe
>acknowledged. Therefore I believe we are OK so far, as far as these
>points are concerned.
>
>I also understand that George claims a second, similar proof that
>covers, in some fashion or other, X*Y*Z divisible by 3. To avoid
>unnecessary confusion I propose that we leave this second case for now.
>Once the status of the "X*Y*Z not divisible by 3" proof has been
>established, we can, if necessary, return to the second case.

Sounds like a good plan to me.
.

Relevant Pages

  • Re: Bring Math Arguments against this FERMAT LAST THEOREM PROOF
    ... > which implicitly assumes a positivity that we're abandoning right ... My understanding of George's response to my comments is that the proof ... by 3) and not, as George originally stated, Z not divisible by 3. ... unnecessary confusion I propose that we leave this second case for now. ...
    (sci.math)
  • Re: MINDSET =?windows-1252?Q?LIST=AE_FOR_THE_CLASS_OF_?= =?windows-1252?Q?2009?=
    ... Can't use them with people who do not have the basis for understanding, ... Can't explain the thought without understanding the metaphor, can't teach the metaphor without offending some nitwit. ... Can't teach US History without mentioning all those dead white guys, because there just weren't a lot of decisions made, battles fought, or treaties made by black women. ... The power of accurate observation is commonly called cynicism by those who have not got it.” George Bernard Shaw ...
    (rec.woodworking)
  • Re: The Obama Bounce: Obama 51% -- McCain 36%...
    ... The problem is that your understanding is NOT correct. ... I don't know who, if anyone, you sent your money to and if you chose not ... George, here you are splitting hairs and being hypocritical. ...
    (soc.retirement)
  • Re: DIVINATION TEST (REPOST)
    ... Kenny wrote: ... Neither Fred nor George is Evil. ... put you down for "F" (because this makes for easier recordkeeping and ... I will put you down for A & E, with the understanding that it is all ...
    (alt.fan.harry-potter)
  • Re: Legitimacy of UK titles following abdication
    ... Not only understanding the word used in a sentence, ... When King Edward VIII ... tranferring such rights to the next person in the line of succession. ... Discussions were conducted between the new king, George VI, and other ...
    (alt.talk.royalty)