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Propositional Logic: Tautologies, Contradictions, and Contingencies

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Multiple Choice

Which of the following is a tautology?

  1. (p ∨ q) ∨ (p ∧ ~q)
  2. (p ∧ q) → (p ∨ q)
  3. ~p → (q → p)
  4. p ∨ ~p