Classifying and Comparing Statements Chapter 4.4 & 4.5 A First Course in Logic Tautology Whenever the truth table for a statement is true on every row, the statement is a tautology. SelfContradictory Whenever the truth table for a statement is false on every row, the statement is a self-contradictory. Contingency Whenever the truth table for a statement is true on some rows and false on other rows, the statement is contingent. Consistent Whenever the truth table for 2 or more statements is true on at least one row then the statements are consistent. Inconsistent Whenever the truth table for 2 or more statements is NOT true on at least one row then the statements are inconsistent. Implication We say that one statement implies another, if whenever the first is true, the second is true. Equivalence Two statements are equivalent if each implies the other. Equivalence can be thought of as mutual implication.