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Question

Mathematics Question on mathematical reasoning

Which of the following is a contradiction ?

A

(p∧q)∧∼(p∨q)(p \wedge q) \wedge \sim (p \vee q)

B

p∨(∼p∧q)p \lor ( \sim p \wedge q)

C

(p⇒q)⇒p (p \Rightarrow q) \Rightarrow p

D

None of these

Answer

(p∧q)∧∼(p∨q)(p \wedge q) \wedge \sim (p \vee q)

Explanation

Solution

∴ (p∧q)∧∼(p∨q) \therefore \, (p \wedge q) \wedge \sim (p \vee q) is a contradiction.