What is This statement is false?

A really confusing paradox, commonly used as a high class military weapon. If it's true, then it's false. but If it's false, then it's true. but If it's true, then it's false. but If it's false, then it's true. Ow I got a huge brainhurt.

Greg: "Impress me"
Andrew: "this statement is false"
Greg: *Explodes*
FBI: *Breaks down door and kidnaps Greg*

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This statement is false - video