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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)

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Some Thoughts From a pure logic standpoint... | Comment 16 of 36 |

It seems to me that, as Steven poined out earlier, there are an infinite number of even integers.  If we are to prove the GC to be true, we must test each and every instance, which would be impossible.  Someone could, theoretically, DISPROVE the statement by finding an exception... but no one has.


  Posted by Susan on 2004-08-28 13:14:44
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