Philosophy Formal Logic Questions
The truth table for conditional statements, also known as implication or if-then statements, is as follows:
| P | Q | P → Q |
|---|---|-------|
| T | T | T |
| T | F | F |
| F | T | T |
| F | F | T |
In this truth table, P represents the antecedent or the "if" part of the statement, and Q represents the consequent or the "then" part of the statement. The symbol "→" denotes the conditional operator. The truth value of P → Q is true (T) when either P is false (F) or when both P and Q are true (T). It is false (F) only when P is true (T) and Q is false (F).