Committed, then the wine steward killed Lord Hazelton. Is it possible for the de

Question

Committed, then the wine steward killed Lord Hazelton. Is it possible for the detective to deduce the identity of the murderer from these facts? If so, who did murder Lord Hazelton? (Assume there was only one cause of death.) Sharky. a leader of the underworld, was killed by one of his own band of four henchmen. Detective Sharp interviewed the men and determined that all were lying except for one. He deduced who killed Sharky on the basis of the following statements: Socko: Lefty killed Sharky. Fats: Muscles didn't kill Sharky. Lefty: Muscles was shooting craps with Socko when Sharky was knocked off. Muscles: Lefty didn't kill Sharky. Who did kill Sharky? In 41-44 a set of premises and a conclusion are given. Use the valid argument forms listed in Table 2.3.1 to deduce the conclusion from the premises, giving a reason for each step as in Example 2.3.8. Assume all variables are statement variables.

Explanation / Answer

I am solving the Question No 40, please post multiple questions to get the remaining answers

Since Lefty and Muscles are involved in the two statements, then Let us assume L = "Lefty killed sharky". M = muscles killed sharky"

The statements by socko and others can be deciphered as

Socko: L

Fats: (not) M

Lefty: (not) M

Muscles: not L

Since it can happen that one is true and one is false given both the statement L and L(not), but assume that fats is lying then lefty is also lying, hence the given statements are contradictory, therefore the murderer of sharky is none other tham Muscles

Hence muscle killed sharky

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