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

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