Propositions (p ⇒ ∼ p) wedge (∼ p ⇒ p) is a

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Mathematical Reasoning

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The propositions $(p \Rightarrow \;\sim p) \wedge (\sim p \Rightarrow p)$ is a

A

Tautology and contradiction

B

Neither tautology nor contradiction

C

Contradiction

D

Tautology

Solution

(c) Clearly, $(p \Rightarrow \;\sim p) \wedge (\sim p \Rightarrow p)$ is a contradiction.

$p$	$\sim p$	$p⇒\sim p$	$\sim p⇒ p$	$(p \Rightarrow \;$~$p) \wedge ($~$p \Rightarrow p)$
$T$	$F$	$F$	$T$	$F$
$F$	$T$	$T$	$F$	$F$

Standard 11

Mathematics

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