Socratic Paradox/Paradox 2

Paradox
Socrates is supposed to have raised the question: Is the following statement in italics true or false?


 * This statement in italics is false.

Suppose the statement in italics is true.

Then it is false.

That is, what it says is different from the way things actually are.

So, the sentence is not false.

Therefore it is true.

But it cannot be both.

Resolution
The sentence is meaningless.

Also known as
This paradox is often seen referred to as the liar paradox or liar's paradox.

Also see

 * Russell's Paradox
 * Gödel's Incompleteness Theorems