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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: ( You must be logged in to post comments.)
  Subject Author Date
Problem Stated Wrong - GC Can't Be FALSE (has counterexample) & UnrefutableCharlie2012-04-26 12:10:45
Some Thoughtsre: zero and infinityTom2007-04-08 02:59:58
Solutionzero and infinitymatt2006-08-06 20:34:07
ummmSarah2006-04-06 03:19:09
Note:Chris, Phd2005-11-27 22:38:56
Solutionsean2005-11-08 11:26:50
Randomness of prime numbers.Patrick Blake2005-07-29 21:04:44
No SubjectJeff2005-07-24 15:23:57
re: SOLUTION!Bryan2005-04-14 19:40:02
ehh (shrug)Abanan2005-03-30 12:37:49
Questionokay, haha, I wonder it anyone has thought of this. hehe!Vee-Liem Veefessional2004-12-30 06:15:24
It's the idea, not the example....Rob2004-11-24 00:35:27
SOLUTION!!Felix2004-11-12 14:41:11
Need correction to the problemdoremi2004-10-28 00:54:03
Posted Solution is BogusDavid Shin2004-10-15 20:26:54
re: No problemDavid Shin2004-10-15 20:17:45
No problemSteve Herman2004-10-14 21:44:46
I disagree with the posted solution.Ken Haley2004-10-03 02:46:48
re: My thought is....Ken Haley2004-10-03 02:34:25
re: From a pure logic standpoint...Federico Kereki2004-08-28 21:23:23
Some ThoughtsFrom a pure logic standpoint...Susan2004-08-28 13:14:44
Some Thoughtsre(2): No Subjecte.g.2004-08-27 20:56:01
re: No SubjectBruce Brantley2004-08-27 09:46:08
QuestionNo SubjectVee-Liem Veefessional2004-08-26 23:27:35
re(3): Waiting for Godel (Spoiler)Bruce Brantley2004-08-23 01:08:27
re(2): Waiting for Godel (Spoiler)Penny2004-08-22 23:07:58
re: Waiting for Godel (Spoiler)Bruce Brantley2004-08-22 22:44:59
re(2): A better....Penny2004-08-22 15:12:34
re: A better....e.g.2004-08-22 13:32:29
A better....Penny2004-08-22 12:35:20
My thought is....Penny2004-08-22 12:27:19
Some ThoughtsJust thinkingOskar2004-08-22 11:40:41
Some Thoughtsmy 2 centsSteven2004-08-22 10:49:02
Some Thoughtsattempt at logicLarry2004-08-22 09:46:19
re: Waiting for Godel (Spoiler)Larry2004-08-22 09:38:25
Some ThoughtsWaiting for Godel (Spoiler)Penny2004-08-22 08:50:48
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