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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Examine whether the following statement pattern is a tautology or a contradiction or a contingency. ∼ (∼ q ∧ p) ∧ q - Mathematics and Statistics

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प्रश्न

Examine whether the following statement pattern is a tautology or a contradiction or a contingency.

∼ (∼ q ∧ p) ∧ q

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उत्तर

p q ∼ q ∼ q ∧ p ∼ (∼ q ∧ p) ∼ (∼ q ∧ p) ∧ q
T T F F T T
T F T T F F
F T F F T T
F F T F T F

The entries in the last column of the above truth table are neither all T nor all F.
∴ ∼ (∼ q ∧ p) ∧ q is a contingency.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Mathematical Logic - Exercise 1.2 [पृष्ठ १३]

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