Explorer's Logic: Freedom or Death

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Discussion Overview

The discussion revolves around a logical puzzle involving an explorer captured by cannibals who allow him to make one statement that determines his fate. The focus is on the nature of the statement that could lead to his release or demise, exploring various logical implications and interpretations.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant suggests the statement "You will burn me alive," which leads to a paradox regarding the truth of the statement.
  • Another participant proposes "The word apples is not in this sentence," but is challenged on its validity as a false statement.
  • A humorous suggestion is made to say "you have pretty eyes," which would lead to a discussion among the tribesmen about the chief's appearance, potentially buying time for the explorer.
  • Concerns are raised about whether the additional commentary could be considered a second statement, complicating the situation further.
  • One participant reflects on the statement "This statement is false," noting its self-referential nature and the resulting paradox.
  • A point is made about the definition of "statement" and how it might differ in the context of the chief's language, suggesting that a non-binary statement could complicate the outcome.
  • Another participant humorously suggests a mathematical statement, "x is greater than or equal to zero," as a potential response.

Areas of Agreement / Disagreement

Participants express various competing views on what constitutes a valid statement and the implications of each proposed statement. The discussion remains unresolved, with no consensus on the best approach or solution.

Contextual Notes

The discussion includes assumptions about the nature of statements and their truth values, as well as the potential for ambiguity in the chief's understanding of logic.

naeblis
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heres a good one :devil:

An explorer is traveling through the bowels of South Africa and becomes captured. He awakens to find him-self tied-up and if front of the leader of his assailants. He realizes he has been captured by cannibals and as an even more unusually strange twist of fate, these cannibals are lovers of logic. The Chieftan says [in a language you can only understand because you are such a distinguished explorer of all parts of the world] in a loud booming voice, "You will be eaten by us!" all of the other tribesman around your roar wildly like starved animals. The Chief continued, "As a sign of our hospitality we will allow you to decide how you die. You may make ONE statement. If it be true, we will boil you alive..." About half of the tribesmen cheer, "...And if it be false, we will burn you alive..." again cheers... you think to yourself for a minute... and say one statement. Silence fills the air. The Chief bows to you and motions for you to be let go. "As a lover of logic, I must let you be free" he said.

:devil: :devil: what was the statement that you made, that forced the Chief let you go free? :devil: :devil:
 
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"You will burn me alive," says the explorer to the cannibal chief.
 
my bad i mistold it you HAVE to make one statement and one statement only
 
Moo of Doom did say one statement, but mine would have been, "The word apples is not in this sentence."[/Color]
 
whozum your statement "The word apples is not in this sentence" is just a false statement and you would be burned alive. when i first saw your statement i thoguh you hadfound an alternate answer but there's no negating factor. saying "you will burn me alive" causes them to ponder if they burn him alive his answer will have been true thus they must boil him thus making his statement false and they must burn him alive making his statement trus again and so on and so on. close but no cigar. i applaud your thinking out side the box though.
 
i think a funnier thing to say would be like "you have pretty eyes." cause then all the tribes people would have to gather around the chief and decide whether or not his eyes are pretty. And then, once they make a decision, i'd say, "but wait, perhaps its true (or false) in my opinion." and then they'd have to consider my perspective, and decide whether or not i actually believe the cheif's eye's were pretty. In the meanwhile, they'd have to get to know me and my thoughts and my views on life, and i'd tell them all about my hopes and dreams, and i'd touch each and everyone of their souls. Then they'd feel bad for me, and let me go free.
or... if that doesn't work, at least i'd've bought myself some time while they were arguing, so that i could think of a new plan.
 
interesting viewbut saying "but wait, perhaps its true (or false) in my opinion." could be considered a second statement perhaps as lovers of logic they would intuatively come to this assumption but I am not personal friends with the cannibals so i wouldn't know :)
 
naeblis, i was originally thinking along the lines of "This statement is false", but somehow got along to apples and blah blah. If the statement is true, then its false. If its false, then its true. How's that?
 
I never tell the truth.
 
  • #10
A (possible) complication to this is that the definition of "statement" is usually something like "a proposition that is definitely either true or false." The chief, speaking in his native tongue, may have had a slightly different meaning to it, but if you say something that is not true or false he might say it's not a statement.

Also, the chief could burn you alive AND boil you alive (half and half maybe) going by moo of doom's answer; he would burn you alive, so your statement would be true, so he would boil you alive also. The chief didn't say that if the statement is true, he _won't_ burn you alive.
 
  • #11
Rahmuss, your statement is false, because as a human being you sometimes do tell the truth. Whozum's answer ("This statement is false") works.
 
  • #12
Can someone help me with this problem, this was my homework assignment for a physics class I am taking and I don't know how to respond to it.

Thanks
 
  • #13
blizzard said:
Can someone help me with this problem, this was my homework assignment for a physics class I am taking and I don't know how to respond to it.

Thanks
You will need to post your question showing what work you have already done trying to solve it in the appropriate homework section.
 
  • #14
This was a physics question?
 
  • #15
The expedient thing to say would clearly be 'x is greater than or equal to zero.'

:smile:
 

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