Who Killed Sharky in the Underworld Mystery?

  • Thread starter Thread starter RyozKidz
  • Start date Start date
AI Thread Summary
Sharky, the underworld leader, was killed by one of his four henchmen, and Detective Sharp determined that only one of their statements was true. Analyzing the statements reveals contradictions when assuming each one is true, leading to confusion about who the actual killer is. The discussions suggest that if Socko or Fats were telling the truth, it would imply multiple killers, which is impossible. Ultimately, reasoning points to Muscles as the likely killer, despite the complexities in the statements. The conclusion drawn is that Muscles is the one who killed Sharky.
RyozKidz
Messages
25
Reaction score
0
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 Shark on the basis of the following statements :

a) Socko: Lefty Killed Sharky
b) Fats: Muscles didnt kill Sharky
c) Lefty: Muscles was shooting craps with Socko when Sharky was knocked off
d) Muscles: Lefty didnt kill Sharky

who did kill Sharky?
 
Physics news on Phys.org
Go through each of the four statements, assuming that that one is correct and the others incorrect. Here's #1:
By a, Lefty Killed Sharky. By b, Muscles killed Sharky; contradiction.

So a is lying.
 
i do it like this..
first i negation all of the statements
second Then i check it 1 by 1 see whether got contradiction a not(like what u had done)
third if there r a contradiction occurs , i will ignore it and go for the next.
last i found that it was Muscle who did kill Sharky

Is it like this?? My logic sense is quite poor..~ hehe
 
The question appears to be inconsistent.
1/ One of (a) or (d) must be true (because one statement is the complement of other)
2/ Similarly, one of (b) and (c) must be true.
Therefore, we find two true statement maker {one from (a) or (d) and the other from (b) or (c)}.
Thus the condition of the question that 'only one is stating the truth' does not hold good.
 
RyozKidz said:
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 Shark on the basis of the following statements :

a) Socko: Lefty Killed Sharky
b) Fats: Muscles didnt kill Sharky
c) Lefty: Muscles was shooting craps with Socko when Sharky was knocked off
d) Muscles: Lefty didnt kill Sharky

who did kill Sharky?

I think the question is fine, we have 4 cases to consider.

CASE 1: Socko is the one telling the truth. Then Lefty killed Sharky is the truth. But if Socko is the only one telling the truth, then the others must be lying. So Fats (who is lying) says that muscles didn't kill Sharky, ...thus Muscles DID kill Sharky. Two different people killed Sharky? Not possible...thus case 1 is ruled out.

CASE 2: Fats is the one telling the truth. So Socko, Lefty and Muscles are lying.

So we deduce from Socko's lying statement that...Lefty did not kill Sharky.

We deduce from Fats' true statement that...Muscles did not kill Sharky.

We deduce from Muscles lying statement that...Lefty did kill Sharky.

So Lefty did kill him, but also did not? That's a contradiction. So either case 3 or 4 is true. But you can figure using reasoning that one of them cannot happen...just like I did here.

CASE 3: 4 u
CASE 4: 4 u
 
Wow..~ But i deduced tat is Muscle who did kill Sharky..T_T''
 
I was reading documentation about the soundness and completeness of logic formal systems. Consider the following $$\vdash_S \phi$$ where ##S## is the proof-system making part the formal system and ##\phi## is a wff (well formed formula) of the formal language. Note the blank on left of the turnstile symbol ##\vdash_S##, as far as I can tell it actually represents the empty set. So what does it mean ? I guess it actually means ##\phi## is a theorem of the formal system, i.e. there is a...

Similar threads

Replies
9
Views
5K
Replies
1
Views
10K
Back
Top