Re: [PrimeNumbers] Digest Number 1127
- A nearly infinite number can be defined if one cares to. Orders of infinity
have been defined, so why not suborders?
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- On Sat, Nov 01, 2003 at 06:13:52PM -0500, chasag@... wrote:
> Ther must be very very large numbers just on the verge of infinity, AfterYou speak of infinity like it is some sort of black hole, with an event
> that there must be a prime gap reaching to infinity. Thus there is a finite
> number of primes. After all if one can imagine infinity, one can imagine
> the verge of infinity.
horizon, beyond which all integers get 'sucked in' to being infinite.
This is not true. Infinity is a convenient concept, used when discussing
quantities which increase without bound. Euclid's tiny little proof
shows that the number of primes has no bound, and is therefore not