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Identify the rule of inference or the fallacy in each of the following logical arguments. If you have COVID-19, then you have a positive PCR test. You have a positive PCR test. Therefore, you have COVID-19.

Identify the rule of inference or the fallacy in each of the following logical arguments. If you have COVID-19, then you have a positive PCR test. You have a positive PCR test. Therefore, you have COVID-19.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Just started learning inferences and fallacies, but it still confuses me. Please help solve the right answer to find correct rule of inference or fallacy for both the problems in the image.

Identify the rule of inference or the fallacy in each of the following logical arguments. If you have COVID-19, then you have a positive PCR test. You have a positive PCR test. Therefore, you have COVID-19. If you have COVID-19, then you have a positive PCR test. You do not have COVID-19. Therefore, you have a negative PCR test. If you have COVID-19, then you have a positive PCR test. You have COVID-19. Therefore, you have a positive PCR test. If you have COVID-19, then you have a positive PCR test. You have a negative PCR test. Therefore, you do not have COVID-19. 1. modus ponens 2. modus tollens 3. fallacy of affirming the conclusion 4. fallacy of denying the hypothesis
Transcribed Image Text:Identify the rule of inference or the fallacy in each of the following logical arguments. If you have COVID-19, then you have a positive PCR test. You have a positive PCR test. Therefore, you have COVID-19. If you have COVID-19, then you have a positive PCR test. You do not have COVID-19. Therefore, you have a negative PCR test. If you have COVID-19, then you have a positive PCR test. You have COVID-19. Therefore, you have a positive PCR test. If you have COVID-19, then you have a positive PCR test. You have a negative PCR test. Therefore, you do not have COVID-19. 1. modus ponens 2. modus tollens 3. fallacy of affirming the conclusion 4. fallacy of denying the hypothesis
Identify the rule of inference or the fallacy in each of the following logical arguments. Discrete math is a required course to graduate with a CS degree. You have taken discrete math. Therefore, you have graduated with a CS degree. Discrete math is a required course to graduate with a CS degree. You have not graduated with a CS degree. Therefore, you have not taken discrete math. Discrete math is a required course to graduate with a CS degree. You have graduated with a CS degree. Therefore, you have taken discrete math. Discrete math is a required course to graduate with a CS degree. You have not taken discrete math. Therefore, you have not graduated with a CS degree. 1. modus ponens 2. modus tollens 3. fallacy of affirming the conclusion 4. fallacy of denying the hypothesis
Transcribed Image Text:Identify the rule of inference or the fallacy in each of the following logical arguments. Discrete math is a required course to graduate with a CS degree. You have taken discrete math. Therefore, you have graduated with a CS degree. Discrete math is a required course to graduate with a CS degree. You have not graduated with a CS degree. Therefore, you have not taken discrete math. Discrete math is a required course to graduate with a CS degree. You have graduated with a CS degree. Therefore, you have taken discrete math. Discrete math is a required course to graduate with a CS degree. You have not taken discrete math. Therefore, you have not graduated with a CS degree. 1. modus ponens 2. modus tollens 3. fallacy of affirming the conclusion 4. fallacy of denying the hypothesis
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