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Philosophy · Q55

Modern Symbolic logic

Graduate and Post Graduate · Philosophy · question 55

Q55

Which one of the following expression is the correct form of Demorgan theorem?

A.
[(p ≡ q)] ≡ [(p > q) . (q > p)] and [(p ≡ q)] ≡ [(p.q) ∨ (∼ p. ∼p)]
B.
[∼ (p.q)] ≡ [(∼ p∨ ∼ q)] and [∼ (p ∨ q)] ≡ [(∼ p. ∼q)]
Answer
C.
[p ≡ (p.p)] and [p ≡ (p ∨ p)]
D.
[(p.q) ≡ (q.p)] and [(p ∨ q) ≡ (q ∨ p)]

Answer: Option B

Solution

Answer: Option B
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