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Three Gods


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68 replies to this topic

#11 mmiguel

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Posted 18 September 2012 - 06:00 AM

Assuming if you ask a god a question they can't answer, they'll say nothing or something completely different that means, like, 'error'...

Spoiler for


A question that cannot be answered --- sounds like a paradox.
Likely not to get much useful info out of a paradox.

Random can always answer, since he doesn't even need to listen to your question, he can ignore you, flip a coin or roll a die and give you whatever answer he chooses.
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#12 mmiguel

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Posted 18 September 2012 - 06:02 AM

How omniscient are the 3 Gods?

By this I mean
Can the three identify each other?
and
Can the truth and lying God reliably predict what the random God is going to say if asked?

Edit: can they reliably predict what the random God will say in future?
Is the random God capable of changing his mind one he has decided to go down the path of truth or the path of lies? i.e is is possible to ask him the same question twice and get different answers


They are omniscient.
They each know which God is which.
Random can provide different answers to the same question.

I guess I don't see any harm in them knowing what Random will say if for example you were to use question 1 to ask what Random would say question 2 or on question 3.

Edited by mmiguel, 18 September 2012 - 06:11 AM.

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#13 mmiguel

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Posted 18 September 2012 - 06:08 AM

Can we assume that they know what questions I am about to ask before I ask them?


Hmm....

That could make things complicated because we can get into a circular: "but he knows that I know that he knows that I know that ....", which I would prefer to avoid.

The correct answer allows you to identify which Gods are which regardless of what they think you are thinking.

Edited by mmiguel, 18 September 2012 - 06:09 AM.

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#14 phaze

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Posted 18 September 2012 - 06:10 AM

Spoiler for Partial Answer

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#15 mmiguel

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Posted 18 September 2012 - 06:14 AM

Three gods A , B , and C are called, in some order, True, False, and Random. True always speaks truly, False always speaks falsely, but whether Random speaks truly or falsely is a completely random matter. Your task is to determine the identities of A , B , and C by asking three yes-no questions; each question must be put to exactly one god. The gods understand English, but will answer in their own language, in which the words for yes and no are “da” and “ja”, in some order. You do not know which word means which.


There are 3 smaller, easier puzzles that may serve as hints to building up the answer to this one.

I will post the first one below. Those with pride, feel free to not look.
Spoiler for Hint Puzzle1

Edited by mmiguel, 18 September 2012 - 06:16 AM.

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#16 mmiguel

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Posted 18 September 2012 - 06:25 AM

Spoiler for Partial Answer


Spoiler for

Edited by mmiguel, 18 September 2012 - 06:26 AM.

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#17 kbrdsk

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Posted 18 September 2012 - 02:27 PM

What happens when you ask the truth teller or the liar a question they can't answer?
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#18 superprismatic

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Posted 18 September 2012 - 08:24 PM

Spoiler for Hint Puzzle #1

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#19 Yoruichi-san

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Posted 18 September 2012 - 08:35 PM

Okay, let me get this straight. We're assuming:

1) Random means the god will randomly answer YES or NO regardless of the question, not will randomly answer truthfully or not.
2) The gods all know what random's YES/NO pattern will be.

Spoiler for In that case...


This is not a paradox, it is a strategy that utilizes the fact that random is random ;).
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#20 TheChad08

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Posted 18 September 2012 - 08:44 PM

Okay, let me get this straight. We're assuming:

1) Random means the god will randomly answer YES or NO regardless of the question, not will randomly answer truthfully or not.
2) The gods all know what random's YES/NO pattern will be.

Spoiler for In that case...


This is not a paradox, it is a strategy that utilizes the fact that random is random ;).

But we claimed that the other God's know his answer, so therefore with that question you could get the two you ask saying yes , or the two you ask saying no, or different answers for each.
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