Identify the rule of inference or the fallacy in each of the following logical arguments. If p is a prime, then 2P = 2 (mod p). 2341 = 2 (mod 341). Therefore, 341 is a prime. If 2 + 1is a prime, then p = 2". 2022 2". Therefore, 22022 + 1 is not a prime. We go to the beach only if it is sunny. It is sunny. Therefore, we go to the beach. If 2P 1is a prime, then p is a prime. 2110503 - 1 is a prime. Therefore, 110503 is a prime. If it is cold, then we do not play golf. It is not cold. Therefore, we play golf. 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. If p is a prime, then 2P = 2 (mod p). 2341 = 2 (mod 341). Therefore, 341 is a prime. If 2 + 1is a prime, then p = 2". 2022 2". Therefore, 22022 + 1 is not a prime. We go to the beach only if it is sunny. It is sunny. Therefore, we go to the beach. If 2P 1is a prime, then p is a prime. 2110503 - 1 is a prime. Therefore, 110503 is a prime. If it is cold, then we do not play golf. It is not cold. Therefore, we play golf. 1. modus ponens 2. modus tollens 3. fallacy of affirming the conclusion 4. fallacy of denying the hypothesis
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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Transcribed Image Text:Identify the rule of inference or the fallacy in each of the following logical arguments.
If p is a prime, then
2¹ = 2 (mod p).
2341 = 2 (mod 341).
Therefore, 341 is a prime.
If 2 + 1is a prime, then
p = 2".
2022 / 2¹.
Therefore, 22022 + 1 is
not a prime.
We go to the beach only if
it is sunny.
It is sunny.
Therefore, we go to the
beach.
If 2P 1is a prime, then
p is a prime.
2110503 - 1 is a prime.
Therefore, 110503 is a
prime.
If it is cold, then we do not
play golf.
It is not cold.
Therefore, we play golf.
1. modus ponens
2. modus tollens
3. fallacy of affirming the conclusion
4. fallacy of denying the hypothesis
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