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
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Examples
Lessons
  1. Truth Tables with Negations, Conjunctions, and Disjunctions (two statements)

    Fill in the truth tables:

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

    Fill in the truth tables:

    1. pp qq rr ~pp ~pp ˅ qq (~pp ˅ qq) ˄ rr
      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. pp qq rr ~pp ~qq ~pp ˄ ~qq (~pp ˄ ~qq) ˅ rr
      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. pp qq rr ~pp ~rr ~pp ˅ ~rr (~pp ˅ ~rr) ˄ qq
      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. pp ˅ qq ˅ rr
    2. pp ˄ qq ˄ rr
Topic Notes
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Notes:

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