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# The Gods of Logic

Best Answer Yoruichi-san, 19 February 2013 - 06:11 AM

Lol, well as an engineer, I do try to be as lazy *cough* efficient as possible...

Spoiler for The more tedious solution
Go to the full post

24 replies to this topic

### #1 ThunderCloud

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Posted 18 February 2013 - 10:17 PM

This puzzle is a variation on the "Hardest Logic Puzzle Ever", as can be seen on Wikipedia. I've found it to be a fun problem to play with.

There are three gods, each of whom speaks through his respective totem. One god always tells the truth, one always lies, and one answers entirely at random. The three totems are unlabeled, so you do not know which god is which. The gods respond only to yes-no questions, and may only be addressed individually via the querant's choice of totem. Furthermore, each god answers in his own personal language, and you know nothing in advance about any of the three gods' languages, save that each includes distinct words for "yes" and "no". Your task is to correctly ascribe each totem to its respective god with only three questions. What are your questions, and how are they directed?

Note: Because the "god of Truth" must always tell the truth, and the "god of Lies" must always lie, neither god is able to respond to a question which lacks a definite answer. The "god of Randomness", however, will respond to any question -- his response is unrelated to the content of the question, but is instead prompted by the fact that he was asked one.

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### #2 Yoruichi-san

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Posted 18 February 2013 - 10:55 PM

Um...I'm getting deja vu...is it something like this?

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### #3 ThunderCloud

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Posted 18 February 2013 - 11:03 PM

Um...I'm getting deja vu...is it something like this?

Something like, but not exactly like. It is a variation. Each god speaks his own individual language (so there are three unknown languages), and you do not know the words each will use in advance.

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### #4 bonanova

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Posted 18 February 2013 - 11:04 PM

Y-san, I see two complications over the standard "hardest logic puzzle."

1. The gods do not respond da or ja: each god has his own language.

2. The third god does not randomly lie or tell the truth, he randomly says yes or no.
He may thus answer any question.

ThunderCloud, you don't specifically limit our questions to be of the Yes/No variety, but it seems implied?

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### #5 Yoruichi-san

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Posted 19 February 2013 - 12:09 AM

I see...

Actually the puzzle I linked had the same setup for 2. @bon-chan.

A couple questions to TC:

1.  Do the other two gods know what Random is going to answer before hand?

2.  Are you allowed to ask questions that potentially do not have a definite answer?  Can you take the totem's lack of an answer as an information source?

3.  Are you allowed to ask questions that potentially create a paradox?

Spoiler for I.e.

Spoiler for Depending on the answers to the above questions...

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Women are definitely stronger. We are [Fe]males, after all...

Some of what makes me me is real, some of what makes me me is imaginary...I guess I'm just complex. ;P

<3 BBC's Sherlock, the series and the man. "Smart is the new sexy."

Chromatic Witch links now on my 'About Me' page! Episode 3 is finally here!

When life hands me lemons, I make invisible ink.

### #6 phaze

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Posted 19 February 2013 - 12:21 AM

4. If I were to ask the lying god about a question the truth telling god would have not been able to answer is it possible for him to lie by answering

Spoiler for e.g.

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### #7 Thalia

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Posted 19 February 2013 - 12:26 AM

Hope I didn't mix up the questions after rearranging them a billion times. . .
If non yes/no questions are allowed. . .
Spoiler for 3 Questions

Edited by Thalia, 19 February 2013 - 12:30 AM.

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### #8 ThunderCloud

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Posted 19 February 2013 - 12:34 AM

I see...

Actually the puzzle I linked had the same setup for 2. @bon-chan.

A couple questions to TC:

1.  Do the other two gods know what Random is going to answer before hand?

2.  Are you allowed to ask questions that potentially do not have a definite answer?  Can you take the totem's lack of an answer as an information source?

3.  Are you allowed to ask questions that potentially create a paradox?

Spoiler for I.e.

Spoiler for Depending on the answers to the above questions...

In order:

(1) No.

(2) Yes.

(3) I am not sure what you mean...

Spoiler for

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### #9 ThunderCloud

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Posted 19 February 2013 - 12:36 AM

4. If I were to ask the lying god about a question the truth telling god would have not been able to answer is it possible for him to lie by answering

Spoiler for e.g.

In this case he would not answer. Neither the "god of Lies" nor the "god of Truth" can respond to a question to which there is no definite answer.

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### #10 ThunderCloud

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Posted 19 February 2013 - 12:42 AM

Hope I didn't mix up the questions after rearranging them a billion times. . .
If non yes/no questions are allowed. . .
Spoiler for 3 Questions