Self-negating statements (idea)

A statement that negates itself in some way. These are an annoying problem logically, and indicate that something is wrong with our logic system. Some of them are obvious, some of them are subtle. It also turns out that the core of the proofs of both Godel's Theorem and the Halting Problem is self negating statements.

Here's a list of all the self negating statements that I know of.

• This statement is false.
• All generalizations are false.
• Everything is relative.
• Russell's Paradox, i.e. the (male) barber in a town shaves everyone who doesn't shave themselves. This one's kind of subtle. Think about the barber. Who shaves him?
• The next statement is very important. The previous statement is irrelevant.
• Never end a sentence with but.