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Which one of the following is a fallacy? -

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Question

Which one of the following is a fallacy?

Options

  • p ∨ (∼q) ⇒ p ∧ q

  • ∼[(p ∧ q)] ⇒ (∼p ∨ q)

  • ∼[(p ∨ ∼q)] ⇒ p ∧ q

  • ∼[(p ∧ ∼q)] ⇒ p ∨ q

MCQ
Fill in the Blanks

Solution

∼[(p ∧ q)] ⇒ (∼p ∨ q)

Explanation:

By using the truth table.

p q ∼p ∼q p ∧ q ∼p ∨ q (p ∧ q) ⇒ (∼p ∨ q) [(p ∧ q) ⇒ (∼p ∨ q)]
T T F F T T T F
T F F T F F T F
F T T F F T T F
F F T T F T T F
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Truth Tables
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