Liar’s Paradox

 

The following is NOT a Liar’s Paradox stmt1: Following statement is false; stmt2: Preceding statement is false; Explanation: It has the following possible solutions: stmt1 stmt2 T F F T Take row 1: Stmt 2 is true, Stmt 1 is false. What Paradox? Take row 2: Stmt 2 is false, Stmt 1 is true. What Paradox? The following IS a Liar’s Paradox stmt3: Following statement is true; stmt4: Preceding statement is false; Explanation: Take row 1: stmt3 is true, therefore stmt4 is true, therefore stmt3 is false. Now row 2: stmt3 is false, therefore stmt4 is false, therefore stmt3 is true. Completely un-decidable.