Not a paradox Every man is a liar is similar to the I always lie statement they can t be true but they can be false like in the statement I don t always lie could be true since in lying that he always lies it would not contradict the statement therefore the non negative doesn t contain the don t true statement would be written as I sometimes lie the statement Every man is a liar must be false since it can t be true but wouldn t contradict itself it was false so the non negative true statement would be At least the speaker but not every man is a liar