[FOM] Infinity of primes in Euclid

[Mark Bridger]

Euclid does NOT say that there are infinitely many primes. Rather, he proves that for any number of primes there must be another. The reference is: Book IX, Proposition 20: "Prime numbers are more than any assigned multitude of prime numbers." ("The History of Mathematics - A Reader" ed. J. Fauvel, J. Gray.)
   
  This is an example of Aristotle's "Potential Infinity" as opposed to a "Completed Infinity."
   
  M. Bridger

			
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