Imagine a person states, "Everything I say is false".
What is the truth-value of this statement? True or false?
Assume the statement is true. Then everything that he says is false, and the statement is false. Contradiction.
Assume the statement is false. Then we know that sometimes he says true things, and that he may say false things. (He may not, either.) This statement being false fits within that conclusion, and narrows it to "He says both true and false things." Thus, the statement is false.
Again, is this true or false?
Without any givens, I rely on the fact that that comes from Greek mythology. Mythology is false. The statement is false.