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Re: [PrimeNumbers] Digest Number 1127

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  • chasag@aol.com
    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
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      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]
    • chasag@aol.com
      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
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        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]
      • Andy Swallow
        ... 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
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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, 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
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