A conjunction is a sequence of sentences separated by occurrences of the ∧ operator and enclosed in parentheses. For example, we can write the conjunction of p and q as (p ∧ q).
The constituent sentences of a conjunction are called conjuncts. For example, the conjuncts in the conjunction (p ∧ q) are p and q.
The truth value of a conjunction is true if and only if the truth value of its conjuncts are both true; otherwise, the truth value is false.
p |
q |
(p ∧ q) |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
|