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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: 3.4167 (12 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Need correction to the problem | Comment 23 of 36 |

Start with even integers greater than or equal to 6.

Also, the solution to the problem is more philosophical in nature than logical.  I.e., it doesn't answer anything.

 


  Posted by doremi on 2004-10-28 00:54:03
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