Mathematical Logic And Boolean Algebra Question 117
Question: The propositions $ (p\Rightarrow \tilde{\ }p)\wedge (\tilde{\ }p\Rightarrow p) $ is a
Options:
A) Tautology and contradiction
B) Neither tautology nor contradiction
C) Contradiction
D) Tautology
Show Answer
Answer:
Correct Answer: C
Solution:
[c] $ p $ $ \tilde{\ }q $ $ p\Rightarrow \tilde{\ }p $ $ \tilde{\ }p\Rightarrow p $ $ (p\Rightarrow \tilde{\ }p) $ $ \wedge (\tilde{\ }p\Rightarrow p) $ T F F T F F T T F F Clearly, $ (p\Rightarrow \tilde{\ }p)\wedge (\tilde{\ }p\Rightarrow p) $ is a contradiction.
BETA
