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
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.
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
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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