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Provably unprovable? (Posted on 2004-08-22) Difficulty: 4 of 5
Gödel proved that there are true sentences that cannot be proved.

Suppose I told you that the Goldbach conjecture is one of those. (The Goldbach conjecture supposes that every even integer number can be expressed as the sum of two odd primes.)

Is that logically possible? (And, no, I haven't proved it!)

See The Solution Submitted by Federico Kereki    
Rating: 3.2727 (11 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re(2): No Subject | Comment 15 of 36 |
(In reply to re: No Subject by Bruce Brantley)

That's the ancient argument: "Is 1 a prime, or isn't it?" If it is, then the Goldbach onjecture applies to all even numbers; if it isn't, you should start at 4.
  Posted by e.g. on 2004-08-27 20:56:01

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