All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Paradoxes
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.)
It's the idea, not the example.... | Comment 25 of 36 |

It's the principle, not that actual example.

I believe he means that some statements have an infinite number of solutions - and because it's infinite it cannot definitely be proved even though it is obviously true.


  Posted by Rob on 2004-11-24 00:35:27
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (10)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information