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Prove that the following statement pattern is a contradiction. (p → q) ∧ (p ∧ ~ q) - Mathematics and Statistics

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प्रश्न

Prove that the following statement pattern is a contradiction.

(p → q) ∧ (p ∧ ~ q)

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उत्तर

p q ~q p→q p∧~q (p→q)∧(p∧~q)
T T F T F F
T F T F T F
F T F T F F
F F T T F F

All the truth values in the last column are F. Hence, it is a contradiction.

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पाठ 1: Mathematical Logic - Exercise 1.6 [पृष्ठ १६]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 1 Mathematical Logic
Exercise 1.6 | Q 4.4 | पृष्ठ १६
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