Use your knowledge of truth tables, classifying statements, and comparing statements to determine which of the following statements are true. Check all that apply.

A pair of propositions can be both logically equivalent and inconsistent.

All contingent statements are logically equivalent to one another.

A truth table for a statement with three simple propositions requires six rows.

Some pairs of self-contradictory statements are consistent with each other.

A truth table for the proposition (B P) (Z ~F) requires 16 rows.

It is possible for two consistent statements to have different actual truth values.

Two propositions are inconsistent statements if there are no truth table rows in which the statements are true at the same time.

A truth table for a statement with five different simple propositions has 32 rows.

In a truth table for a contingent statement, the column beneath the main operator lists a T on every line.

It is possible for two contingent statements to be inconsistent with one another.

A truth table for the proposition Z ~F requires two rows.

In a truth table for a self-contradictory statement, the column beneath the main operator lists an F on every line.

If two statements are not logically equivalent, then they must be contradictory.

If a truth table for multiple statements shows at least one row in which both of the statements have a truth value of T beneath their main operators, then the two statements are logically equivalent.

All self-contradictory statements are logically equivalent to one another.