Exercise 1.6 | Q 5.4 | Page 16
Show that the following statement pattern is contingency.
(p → q) ∧ (p → r)
p | q | r | p→q | p→r | (p→q)∧(p→r) |
T | T | T | T | T | T |
T | T | F | T | F | F |
T | F | T | F | T | F |
T | F | F | F | F | F |
F | T | T | T | T | T |
F | T | F | T | T | T |
F | F | T | T | T | T |
F | F | F | T | T | T |
The truth values in the last column are not identical. Hence, it is contingency.