Re: JSH: Attacking the conclusion

From: *** T. Winter (***.Winter_at_cwi.nl)
Date: 06/18/04 

Date: Fri, 18 Jun 2004 02:12:32 GMT

In article <3c65f87.0406170813.99f6ad0@posting.google.com> jstevh@msn.com (James Harris) writes:
> ANYONE can attack any math paper by just going to the conclusion and
> claiming it's wrong.

There is a difference between claiming a conclusion is wrong and just
plain proving a conclusion is wrong.

> Claims of counterexamples against my work have by me repeatedly been
> shown to be false.

Eh?

> In every case posters rely on a circular argument which basically
> relies on the ring of algebraic integers not having the problem I've
> proven it has.

What is the problem in the ring of algebraic integers? You say that
factors of numbers can not be split along other numbers. It has been
shown that that can be done.

> There are numbers that should properly be considered factors of 1.

What do you mean with "should properly be considered"?

> Note: I did not say that they should be considered factors of 1 in
> the ring of algebraic integers.
>
> That's the problem. That is, the problem is that these numbers
> provably should be considered to be factors of 1, and finding a ring
> where they are is not even hard.

But it is hard.

> They are factors of 1 in a ring made up of numbers such that only 1
> and -1 are integers units, which includes algebraic integers, and
> other numbers besides them.

This is not enough of a definition of the ring to be even workable.
What do you mean with "integer units"?

> That's it. You have a ring where only 1 and -1 are integer units,
> where that's the principal defining characteristic and you can show
> that some irrational units in that ring, are not algebraic integers.

Well, first give a definition of "integer units" and after that we
can continue.

> That algebra shows that there is a ring of numbers where -1 and 1 are
> the only integer units that is indeed LARGER than the ring of
> algebraic integers.

Again, what do you mean with "integer units"? 

-- 
*** t. winter, cwi, kruislaan 413, 1098 sj  amsterdam, nederland, +31205924131
home: bovenover 215, 1025 jn  amsterdam, nederland; http://www.cwi.nl/~***/
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