Re: [PrimeNumbers] Rules make the game
- In a message dated 04/11/03 20:38:07 GMT Standard Time, chasag@... writes:
> There has been a lot of discussion about prime numbers at infinityUnfortunately for the lemma about troll-feeding, the concept of the "infinite
> and whether they exist. If your rules allow them then they exist. As
> an example Euclid's geometry says that parallel lines never meet.
> Non-Euclidian projective geometry allows them to meet at a so
> called 'ideal' point at infinity. This new rule makes a much more
> interesting geometry. Perhaps allowing an 'ideal' prime at infinity
> might make a more interesting prime theory. I don't know. Calling
> the idea rubbish generated by a troll is extreme.
prime" is a perfectly respectable one at the highest levels of number theory
- a region so rarefied that the air is hard to breath...
For example, there is Schlickewei's "p-adic Subspace Theorem" at:-
which certainly strikes fear into my heart.
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