# Truth tables

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##### Intros
###### Lessons
1. Truth Tables Overview:
2. Negation Truth Tables
3. Conjunction Truth Tables
4. Disjunction Truth Tables
5. Truth Tables with three or more statements
##### Examples
###### Lessons
1. Truth Tables with Negations, Conjunctions, and Disjunctions (two statements)

Fill in the truth tables:

1.  $p$ $q$ ~$p$ ~$p$ ˅ $q$ T T T F F T F F
2.  $p$ $q$ ~$q$ $p$ ˄ ~$q$ T T T F F T F F
3.  $p$ $q$ ~$p$ ~$q$ ~$p$ ˄ ~$q$ T T T F F T F F
2. Construct a truth table for the following:
1. $p$ ˅ ~$q$
2. ~$p$ ˄ $q$
3. Truth Tables with Negations, Conjunctions, and Disjunctions (three statements)

Fill in the truth tables:

1.  $p$ $q$ $r$ ~$p$ ~$p$ ˅ $q$ (~$p$ ˅ $q$) ˄ $r$ T T T T T F T F T F T T T F F F F T F T F F F F
2.  $p$ $q$ $r$ ~$p$ ~$q$ ~$p$ ˄ ~$q$ (~$p$ ˄ ~$q$) ˅ $r$ T T T T T F T F T F T T T F F F F T F T F F F F
3.  $p$ $q$ $r$ ~$p$ ~$r$ ~$p$ ˅ ~$r$ (~$p$ ˅ ~$r$) ˄ $q$ T T T T T F T F T F T T T F F F F T F T F F F F
4. Construct a truth table for the following:
1. $p$ ˅ $q$ ˅ $r$
2. $p$ ˄ $q$ ˄ $r$
###### Topic Notes
Notes:

We can organize truth values of statements by using a truth table.