Sorry, an error occurred while loading the content.

## Re: [PrimeNumbers] Digest Number 1127

Expand Messages
• Ther must be very very large numbers just on the verge of infinity, After that there must be a prime gap reaching to infinity. Thus there is a finite number of
Message 1 of 3 , Nov 1, 2003
Ther must be very very large numbers just on the verge of infinity, After
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.

[Non-text portions of this message have been removed]
• A nearly infinite number can be defined if one cares to. Orders of infinity have been defined, so why not suborders? [Non-text portions of this message have
Message 2 of 3 , Nov 1, 2003
A nearly infinite number can be defined if one cares to. Orders of infinity
have been defined, so why not suborders?

[Non-text portions of this message have been removed]
• ... You speak of infinity like it is some sort of black hole, with an event horizon, beyond which all integers get sucked in to being infinite. This is not
Message 3 of 3 , Nov 1, 2003
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, After
> 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.

You speak of infinity like it is some sort of black hole, with an event
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
finite.

Andy
Your message has been successfully submitted and would be delivered to recipients shortly.