Truth Tables of Five Common Logical Connectives

In this lesson, we are going to construct the five (5) common logical connectives or operators. They are considered common logical connectives because they are very popular, useful and always taught together.

Before we begin, I suggest that you review my other lesson in which the link is shown below.

Introduction to Truth Tables, Statements and Connectives

This introductory lesson about truth tables contains prerequisite knowledge or information that will help you better understand the content of this lesson.

Le’s start by listing the five (5) common logical connectives.

The Five (5) Common Logical Connectives

  1. Logical Negation
  2. Logical Conjunction (AND)
  3. Logical Disjunction (Inclusive OR)
  4. Logical Implication (Conditional)
  5. Double Implication (Biconditional)

I. Truth Table of Logical Negation

Negation is a very simple logical connective. It only requires one statement, say P, to operate on. For now, let’s agree to disregard the negation of a compound statement.

Negation operator takes the truth value of the original statement then output the exact opposite of its truth value.