Is the following form of argument valid or invalid? Justify your answer. P→q ~P :.~ q
Is the following form of argument valid or invalid? Justify your answer. P→q ~P :.~ q
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F286060ef-b6f0-4e93-baf7-6d09e677932d%2Fc520e275-6ed0-44dd-9e5c-82c97730cd37%2Fwls08rf_processed.png&w=3840&q=75)
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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