Previous lesson: Logical AND
I apologize for the name of this lesson. The true name of this operator, which is a diadic operator, is a disjunction. It is sometimes called the inclusive OR operator, to distinguish it from another operator you'll learn about later. However, it is a bit dangerous to refer to a disjunction as an OR operator, because English words are far more vague than logic.
[math]\vee[/math] : This is the disjunction, a.k.a. the (inclusive) OR operator
- Let [math]p[/math] represent the statement: It is raining.
- Let [math]q[/math] represent the statement: I am hungry.
- [math]p \vee q[/math] represents the disjunction of statements [math]p[/math] and [math]q[/math]: It is raining OR I am hungry (OR it is raining AND I am hungry).
Truth Table for the Disjunction
This is its truth table:
|[math]p \,\![/math]||[math]q \,\![/math]||[math]p \vee q[/math]|
The name of the next lesson is Logical XOR.