By the end of this lesson, you will be able to apply Truth Tables and define what is | Negation, Conjunction, and Disjunction.

Lesson 1 of 6: What is a Truth Table?

Truth tables are used to list the different possible outcomes. Click on video on how to use Truth Tables.

https://www.youtube.com/watch?v=7mulE-zramc

Intro to Truth Tables | Negation, Conjunction, and Disjunction

Lesson 2 of 6: What have I learnt?

What is a Truth Table?

It is a tool for developing logic in action.  It is used to list the different possible outcomes based on a combination of statements.

A truth table with two propositions, for e.g., p and q, is shown on the right with p ∧ q outcome.

Truth table with 'and' operation

Negation (or Inversion)

If p is a statement, the negation of p is the statement not p, denoted by ~ p (read “not p”). Thus ~ p is the statement “it is not the case that p”.

Conjunction (or Intersection)

Any two statements p and q can be combined by the word ‘and’ to form a compound statement called the conjunction of the original statements, denoted by p ∧ q, and read “p and q”.

Disjunction (or Union)

Any two statements p and q can be combined by the word ‘or’ to form a compound statement called the disjunction of the original statements, denoted by p ∨ q, and read “p or q”.

Lesson 3 of 6: Further Applications of Truth Table

Let's look at how we can apply Truth Tables to compound statements such as ~p V ~q.

https://www.youtube.com/watch?v=LNSfM86I8is

Truth Table Example: ~p V ~q

Lesson 4 of 6: What have I learnt?

Using Truth Tables, we can construct the values for compound statements, for example,