Revenge of the Liar

The Liar paradox raises foundational questions about logic, language, and truth (and semantic notions in general). A simple Liar sentence like ''This sentence is false'' appears to be both true and false if it is either true or false. For if the sentence is true, then what it says is the case; but what it says is that it is false, hence it must be false. On the other hand, if the statement is fals...