Conditional (if-then)
Any two propositions P and Q can be joined by a conditional operator, producing the new, complex, proposition:
If P then Q
The proposition If P then Q is true if and only if either P is false or Q is true. It is false only when P is true and Q is false.
P | Q | If P then Q |
T | T | T |
T | F | F |
F | T | T |
F | F | T |