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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 re: zero and infinity | Comment 35 of 36 |
(In reply to zero and infinity by matt)

Infinity isn't a number, it is a concept, a destination, or a boundary.  Numbers can be used to perform calculations.  The objection about zero is relevant (which two primes add to zero?) but zero is even.  What doesn't apply to zero is a +/- sign.

As to Goldbach, what about 2?  Since when is 1 prime?


  Posted by Tom on 2007-04-08 02:59:58
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