[net.math] computer proofs - 4 color solution

chongo@nsc.UUCP (Landon C. Noll) (08/26/84)

i rank myself with the people who view a CAREFUL computer proof
as a VALID proof.  i might add that 'human' proofs have not been
above there mistakes.  a math prof. of mine one said:

	"a proof is a statment which is accepted as being true by
	 the vast majority of the math community."

rejecting  a computer proof sometimes is a result of 'computer-phobia'.
(NOTE i said SOMETIMES)  i remember one prof. who was deeply
disturbed by MACSYMA/VAXIMA.  he felt math was a subject where humans
may only tread, and the thought of a program which could integrate
circles around him  (its easyer to square the circle then to get
round a mathematician  :-)  ) bothered him.

do people who reject the 4-color proof also reject the proof that
2^132049-1 is prime?  what about the proof that 2^127-1 is prime, it
was done by computer too!  in fact 2^31-1 was done using a calculator...

chongo <computer proofs can be valid> /\../\
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