Is the following form of argument valid or invalid? Justify your answer. P→q ~P :.~ q

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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**Is the following form of argument valid or invalid? Justify your answer.**

\( p \to q \)  
\( \sim p \)  
\( \therefore \sim q \)  

**Explanation:**

This argument is an example of a logical fallacy known as "denying the antecedent." It is invalid because the conclusion \( \sim q \) does not logically follow from the premises. Just because \( p \) is false, it doesn't necessarily mean \( q \) must be false. The truth of \( q \) depends on other factors not specified in the premises.
Transcribed Image Text:**Is the following form of argument valid or invalid? Justify your answer.** \( p \to q \) \( \sim p \) \( \therefore \sim q \) **Explanation:** This argument is an example of a logical fallacy known as "denying the antecedent." It is invalid because the conclusion \( \sim q \) does not logically follow from the premises. Just because \( p \) is false, it doesn't necessarily mean \( q \) must be false. The truth of \( q \) depends on other factors not specified in the premises.
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