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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.)
re(2): Waiting for Godel (Spoiler) | Comment 11 of 36 |
(In reply to re: Waiting for Godel (Spoiler) by Bruce Brantley)

Bruce Brantley: "My question is, What does ZF refer to in the comment you posted?"

ZF were the initials of Ziggy Feinstein, Godel's mathematics professor.

Sorry, I was joking. I have such a great sense of humor, it isn't even funny. The real answer is that ZF stands for Zermelo Fraenkel (ZF) set theory. It is described at

http://www.mtnmath.com/book/node21.html 

 

 

 

Edited on August 22, 2004, 11:16 pm
  Posted by Penny on 2004-08-22 23:07:58

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