Logical AND

Previous lesson: Using truth tables

Your first diadic operator!

I apologize for the name of this lesson. The true name of this operator, which is a diadic operator, is a conjunction. It is a bit dangerous to refer to a conjunction as an AND operator, because English words are far more vague than logic.

• A diadic operator takes 2 arguments, p and q. It returns a single truth value.
• The conjunction, represented by the symbol [math]\wedge[/math], returns the value "true" if and only if both arguments are true.

[math]\wedge[/math] : This is the conjunction or AND operator

• Let [math]p[/math] represent the statement: It is raining.

Let [math]q[/math] represent the statement: I am hungry.

[math]p \wedge q[/math] represents the conjunction of statements [math]p[/math] and [math]q[/math]: It is raining AND I am hungry.

• Let [math]p[/math] represent the false statement: It is raining.

Let [math]q[/math] represent the true statement: I am hungry.

[math]p \wedge q[/math] is false.

Truth table for conjunction statements

[math]p \,\![/math]	[math]q \,\![/math]	[math]p \wedge q[/math]
T	T	T
T	F	F
F	T	F
F	F	F

Next lesson

Your next lesson is called Logical OR.