# Executioner riddle

1. Jul 27, 2004

### Bobert

I LOVE riddles!

A man is to be put to death for murder. The exicutioner says "You can say one thing. If i find it is a lye then i shall drown you. if i find it true i shall hang you." What can the criminal say to be spared?

2. Jul 27, 2004

### Bobert

You all SUCK.

But i got the hardest riddle if you can solve this one.

3. Jul 27, 2004

### Chrono

Was what he said, "One thing"?

4. Jul 27, 2004

### Bobert

yes

5. Jul 27, 2004

### arildno

"I am going to be drowned.."

6. Jul 27, 2004

### Bobert

and by one thing i mean one sentance.

7. Jul 27, 2004

### Bobert

yup
i hate the 10 letter thing

8. Jul 27, 2004

### Bobert

next riddle.

There are three gods in a room. the god of truth, God of false, and god of random. The god of truth will allways tell the truth, the god of false always lies, and the god of random is unpredictable. The gods also never speak english. they will only answere with nee or yee. asking ONE question you must figure out witch god is witch and what nee and yee mean.

9. Jul 27, 2004

### NateTG

That's impossible.

10. Jul 27, 2004

### Bobert

no it isn't but it is very very tricky

11. Jul 27, 2004

### arildno

Can you state a question that all three must answer simultaneously?

12. Jul 27, 2004

### Bobert

yes you can. any question at all

13. Jul 27, 2004

### Bobert

also sorry for the late response i was away

14. Jul 27, 2004

### NateTG

Well, if you're willing to be tricky consider the following:

You cannot assume that 'yee' and 'nee' correspond to 'yes' and 'no' since there are questions that can cause problems. "Does your answer to this question correspond to 'yes'?" is a bit problematic. Let's say that the god of lies answers. Clearly, the god of lies cannot respond with the sylable that corresponds to no, since it is true, similarly, the god of lies cannot respond with the syllable that corresponds to 'yes' since that is also a true response.

15. Jul 27, 2004

### Bobert

yes but he says the oppisate of truth so if you say "God of false, are you a god?" the god of false will answere because he was directed to and he will also say a lie so if he says yee than yee means no but if he says nee than nee means no.

16. Jul 27, 2004

### Bobert

If u post agian i will answere tomarrow cause i got to go

17. Jul 28, 2004

### arildno

I think I've solved it:
Suppose the gods sit around a table (or in a circle).
Furthermore, we assume the gods are well-mannered beings; in particular, they will refrain from answering if not asked.

"Oh, gods of Truth and Falsehood, pray tell me at once if the god at your left-hand side will answer "no" in your language to my question?"

Argument:
1. Due to a good upbringing, the God of Random remains silent.
2 Case 1. God of Truth has the God of Random on his left side.
The God of Truth is obliged to answer "no" in his language, since otherwise he would have implied that GoR says something in response to our question, i.e, he would have uttered a lie.

Hence, GoF is forced to say "no" as well, in order to deny the truth that the god on his left side (GoT) will say "no".

Conclusion:
In this arrangement, we'll get identical answers from the two gods.

3. Case 2. God of Falsehood has the God of Random on his left side.

GoF is obliged to answer "yes"; otherwise, he could be charged with having implied the truth that GoR won't say anything at all.

Hence, GoT must say "no" in response to our question.
Conclusion:
In this arrangement, we'll get different answers from the two gods.

4.
Hence, we may conclude:
If both answer identically, the GoT sits at GoR's right-hand side, and the word said means "no".

If their answer differs, the GoF sits at GoR's right-hand side, and his answer means "yes"

18. Jul 29, 2004

### cytokinesis

He said the God of Random is unpredictable, not silent, did he not?

19. Jul 30, 2004

### arildno

I made the explicit assumption of a well-mannered GoR.

20. Jul 30, 2004

### NateTG

Actually, if you have them on a circular table, you could just go around the table asking "would the god to your left always indicate that..." until one of them changes their mind to identify the god of random.

As it stands the suggested approach allows a third reply (no answer) to the question.