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Mathematical Reasoning
medium
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
