Hi Malcolm, I am thinking that from reading your synopsis, that you do
not see it as a big mistake because
your synopsis is wrong:
Here is your synopsis:
malc...@[EMAIL PROTECTED]
wrote:
> I think that what Hardy had in mind is that since natural numbers are
> well ordered, to prove the infinitude of primes you just need to prove
> that the subset of all prime numbers greater than any given prime is
> not empty. This and the reductio ad absurdum proof are both based on
> the construction of the number 'product of primes plus one', so it is
> normal to somehow 'confuse' them, being each of them correct in their
> own.
> Mathematicians do not normally write formal proofs but instead they
> sort of describe them; they tell us how we should be able to write a
> formal proof. This being understood, it is normal that whenever we
> talk about things we know and understand well we make mistakes in our
> discourse which, from a pragmatic point of view, can perfectly be
> ignored without any damage. So giving any im****tance to that kind of
> mistakes doesn't make anyone any sort of genius.
Malcolm, I do not see it as you described above. So I am asking not
for
some childish request on my part, but as an instructive quest. I am
asking
that you provide a Euclid Infinitude of Primes Proof reductio ad
absurdum
from you, purely from your mind and not something that you read and
try to
verbalize in your own words.
And if you feel good, even a Direct proof of Euclid Infinitude of
Primes; and if
not feeling good, well okay, no big deal.
So if you would care to offer up from your mind a Euclid IP reductio
ad absurdum
then I will check it out, and hopefully convince you that what I have
done is a big
accomplishment of correcting the Euclid IP proof.
Again, if you do not feel up to it, well, that is that.
Also, Jesse Hughes is probably reading and watching. If he feels up to
writing a Euclid IP
both in direct and indirect, or just one of them, I would be happy to
check it out, because I
seriously doubt that Jesse could even do a Euclid IP from his mind
without reading it and
parroting from some book.
Archimedes Plutonium
www.iw.net/~a_plutonium
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies
|
