Hard
Genius Level Riddles
13 XP

The Godel Sentence

14,786 solved 44% solve rate 56% fail rate
In any consistent formal system that can express basic arithmetic, there exists a statement G that says 'I am not provable in this system.' Is G true?
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14,786 attempts
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Quick Answer & Explanation
Yes, G is true

The answer to this riddle is Yes, G is true. Difficulty: Hard · Solved by 14,786 puzzle lovers.

Yes, G is true but unprovable. If G were false, it would be provable, contradicting the systems consistency. This is Godels First Incompleteness Theorem in action.
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