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Lilith Morgaine
February 2nd, 2005, 08:16 PM
Two Doors- One leads to captivity and the other leads to freedom, you dont know which. A guard stands in front of each door - one always lies and the other always tells the truth and you have no way of knowing who the liar is or who the truth-teller is. You may ask one guard one question, to which he can only answer "yes" or "no". Each guard knows who the other one is and which door is which. What is the question whos answer would absolutely direct you to the door of freedom?

wolf
February 2nd, 2005, 08:18 PM
Ask one door guard how the other one would answer.

Aedrais
February 2nd, 2005, 08:22 PM
Ask one door guard how the other one would answer.

"If I asked the other man if his door lead to freedom, what would he say?"

If you asked the liar, he would tell you the other man would have to say "no".

If you asked the truth-teller, he would tell you the other man would have to say "yes".

So then if the answer is no, go for the other one. If it's yes, go for the one you asked. Is that right?

Fairywolf
February 2nd, 2005, 08:31 PM
I don't know. WWSD "What would Sara do?"



Sorry just had to do it!

Lilith Morgaine
February 2nd, 2005, 08:36 PM
Ask one door guard how the other one would answer. What is the logic behind this answer?

arienh
February 2nd, 2005, 08:38 PM
So can we take it that the truth-teller is in front of the door to freedom and vice versa?

Phoenyxfyre
February 2nd, 2005, 08:41 PM
I don't know. WWSD "What would Sara do?"



Sorry just had to do it!
:fpeek: Labyrinth!
LOL
Drat & I canna think o how she fig-ed it either. But ifn I recall right she didna fig right anyway. :geez: But then I could be wrong. *shrugs*

And Sara would prob say "It's not fair" :nyah:

sari0009
February 2nd, 2005, 09:02 PM
Two Doors- One leads to captivity and the other leads to freedom, you dont know which. A guard stands in front of each door - one always lies and the other always tells the truth and you have no way of knowing who the liar is or who the truth-teller is. You may ask one guard one question, to which he can only answer "yes" or "no". Each guard knows who the other one is and which door is which. What is the question whos answer would absolutely direct you to the door of freedom?

Assuming that there is no way out other than one of the two doors, there are actually two possible answers to this particular riddle:

1. Ask a guard, "If I were to ask the other guard which door that leads to freedom, what would he say?" You then you pick the opposite door of what he tells you. The truthful guard will tell you which door the liar would try to mislead you to and the liar would tell you the opposite of the truth, therefore you'd pick the door opposite of what the guard tells you whether you happened to ask the liar or the honest guard.

2. Ask a guard, "If I asked you which door leads to captivity, which door would you tell me?"


Negative + negative = positive

If the liar says it's not (a negative) door x for captivity, he's lying (a negative) and so you can positively pick that door for freedom (a positive).

If the truth teller says it's not (a negative) door x for captivity (a negative), you'd want to (positively) pick that door because that's the door for freedom.

You choose the door according to the above logic.

Crimson Mage
February 2nd, 2005, 10:07 PM
Assuming that there is no way out other than one of the two doors, there are actually two possible answers to this particular riddle:

1. Ask a guard, "If I were to ask the other guard which door that leads to freedom, what would he say?" You then you pick the opposite door of what he tells you. The truthful guard will tell you which door the liar would try to mislead you to and the liar would tell you the opposite of the truth, therefore you'd pick the door opposite of what the guard tells you whether you happened to ask the liar or the honest guard.

2. Ask a guard, "If I asked you which door leads to captivity, which door would you tell me?"


Negative + negative = positive

If the liar says it's not (a negative) door x for captivity, he's lying (a negative) and so you can positively pick that door for freedom (a positive).

If the truth teller says it's not (a negative) door x for captivity (a negative), you'd want to (positively) pick that door because that's the door for freedom.

You choose the door according to the above logic.

Cant do that, they arent yes/no questions.......

charmedkisses1
February 2nd, 2005, 10:09 PM
Assuming that there is no way out other than one of the two doors, there are actually two possible answers to this particular riddle:

1. Ask a guard, "If I were to ask the other guard which door that leads to freedom, what would he say?" You then you pick the opposite door of what he tells you. The truthful guard will tell you which door the liar would try to mislead you to and the liar would tell you the opposite of the truth, therefore you'd pick the door opposite of what the guard tells you whether you happened to ask the liar or the honest guard.

2. Ask a guard, "If I asked you which door leads to captivity, which door would you tell me?"


Negative + negative = positive

If the liar says it's not (a negative) door x for captivity, he's lying (a negative) and so you can positively pick that door for freedom (a positive).

If the truth teller says it's not (a negative) door x for captivity (a negative), you'd want to (positively) pick that door because that's the door for freedom.

You choose the door according to the above logic.

.... that's not yes or no

Athena-Nadine
February 2nd, 2005, 10:16 PM
So can we take it that the truth-teller is in front of the door to freedom and vice versa?
Yes, that is the way I learned the riddle a long time ago. :) And you have to ask one of the guards if the other knows which door is the right door. As they both know which door is the right door, the liar will say, "No," while the truth-teller will say, "Yes." If he says, "Yes," you go through his door. If he says, "No," you go through the other door.

Aidron
February 2nd, 2005, 10:22 PM
Actually, if you ask them both about their own door or a single door, you still have no way of knowing who is lying and who is telling the truth. The solution lies in discovering who is the liar and who tells the truth and which door is the correct one in two questions. So, what do you do?

Quite simply, ask one of them, it doesn't matter which, about something factual. Such as, "Is the Earth the third planet from the sun?". If the guard answers "No" you know he is the liar. Ask the truthful guard about one door and you'll know if it's the right door or not. If the guard answers your question as "Yes" then you know he is the truth teller, so ask the deceptive guard about whichever door you wish and depending on his answer, you know it's the exact opposite.

Riddle solved. :smile:

Athena-Nadine
February 2nd, 2005, 10:26 PM
Actually, if you ask them both about their own door or a single door, you still have no way of knowing who is lying and who is telling the truth. The solution lies in discovering who is the liar and who tells the truth and which door is the correct one in two questions. So, what do you do?

Quite simply, ask one of them, it doesn't matter which, about something factual. Such as, "Is the Earth the third planet from the sun?". If the guard answers "No" you know he is the liar. Ask the truthful guard about one door and you'll know if it's the right door or not. If the guard answers your question as "Yes" then you know he is the truth teller, so ask the deceptive guard about whichever door you wish and depending on his answer, you know it's the exact opposite.

Riddle solved. :smile:
Ah, yes, Dear, but you're only allowed to ask one question of only one of them. ;)

Aidron
February 2nd, 2005, 10:28 PM
Ah, yes, Dear, but you're only allowed to ask one question of only one of them. ;)


Since when? That's not how I originally heard this riddle. :tongueout

halfwaynowhere
February 2nd, 2005, 10:28 PM
i used to know the answer to this, but right now its all going over my head... must be the cold medicine....

Lilith Morgaine
February 2nd, 2005, 10:33 PM
Since when? That's not how I originally heard this riddle. :tongueout
Well obviously you didn't read the beginning of the thread

Athena-Nadine
February 2nd, 2005, 10:33 PM
Since when? That's not how I originally heard this riddle. :tongueout
*...laughs...* I was going by the way the riddle was written at the beginning of the thread. :p

Athena-Nadine
February 2nd, 2005, 10:34 PM
i used to know the answer to this, but right now its all going over my head... must be the cold medicine....
Me too, and I wracked my brain for a minute trying to remember, and the response I gave was as close as I could get. I'm still not sure if it's right.

Lilith Morgaine
February 2nd, 2005, 10:34 PM
*...laughs...* I was going by the way the riddle was written at the beginning of the thread. :p which was what you're supposed to do....:whatmewor

Athena-Nadine
February 2nd, 2005, 10:36 PM
which was what you're supposed to do....:whatmewor
I know. We posted at the same time! :lol:

IvyWitch
February 2nd, 2005, 10:37 PM
This makes my brain hurt. I would just go and watch Labyrinth, but from what I remember Sara thought she had it right, but she didn't.

Aidron
February 2nd, 2005, 10:38 PM
*...laughs...* I was going by the way the riddle was written at the beginning of the thread. :p


Bah, how dare you people actually read things carefully and make me look foolish! Shame on all of you! :razz:

Athena-Nadine
February 2nd, 2005, 10:42 PM
Bah, how dare you people actually read things carefully and make me look foolish! Shame on all of you! :razz:
Dear Heart, you don't need any of us to make you look foolish. *...giggles and runs...*

Mindflayer
February 2nd, 2005, 10:48 PM
Like the first response said, you ask the guard what the OTHER one would say if you asked them if their door lead to freedom.

The truth teller would say that the liar would say YES his door leads to freedom
The liar would say that the truth teller would say that NO his door does not lead to freedom (which is a lie).

So whichever door is the 'no' door, you go through it.

This is assuming though that the truth teller is standing in front of the door leading to freedom. Which is how it's suppose to be :p

Athena-Nadine
February 2nd, 2005, 11:00 PM
Like the first response said, you ask the guard what the OTHER one would say if you asked them if their door lead to freedom.

The truth teller would say that the liar would say YES his door leads to freedom
The liar would say that the truth teller would say that NO his door does not lead to freedom (which is a lie).

So whichever door is the 'no' door, you go through it.

This is assuming though that the truth teller is standing in front of the door leading to freedom. Which is how it's suppose to be :p
YES! That's it! I got the question to ask slightly wrong, but you got it! :D

Lilith Morgaine
February 2nd, 2005, 11:13 PM
right question, WRONG action
this is the correct answer from the original riddle:
doors are A and B.

Say B is the door to freedom, and A is the door to sudden death.

if you ask guard A what B will say ...

if A is the truth teller, he will truthfully say that B will say the door leads to death.

If A is the liar, he will LIE and say the that B will say door leads to death.

If B is the liar and you ask what A will say ... he will lie and say A leads to freedom

If B is the truth teller he will truthfully say that A will say the door leads to freedom.

So the door is the opposite of whatever the guard answers.

sari0009
February 3rd, 2005, 12:11 AM
Oops, true, missed that "yes or no" condition -- household of seven plus pets here. I'll try again.

(Later note: Also see the bulleted list in message 34 (http://mysticwicks.com/showpost.php?p=1600863&postcount=34))

There are two possible questions (see one and two below) that would get you to freedom.

1. Ask a guard, "If I were to ask the other guard if that (pointing to either door) is the door that leads to captivity, what would he say?"

Rules for Question number one: If the guard answers "no," pick the opposite door. If the guard says “yes,” then pick that door.

If “No”


If the truthful guard answers “no,” he’s telling you the liar would say it isn’t the door to captivity, but of course it is the door to captivity, so being the freedom loving human you are, you’d pick the opposite door.

If the liar answers “no,” he’s trying to mislead you to believe that honest guard would say “no” to it being the door to captivity, but it is the door to captivity, so you’d want to pick the opposite door.

If “Yes”


If the truthful guard answers “yes,” it means the other/liar would say it is the door to captivity, which of course it’s not, it’s really the door to freedom so you’d pick that door.

If the liar answers “yes,” it means he’s lying that the truthful guard would say it is the door to captivity, which of course it isn’t, so you’d pick that door.

2. Now, let’s see, what if I asked a guard “If I were to ask the other guard if that (pointing to either door) if that is the door that leads to freedom,’ what would he say?"

Rules for Question number two: If the guard answers "no," pick that door. If the guard says “yes,” then pick the opposite door.

If “No”


If the truthful guard answers “no,” he’s indicating the other/liar would lie and say it’s not the door to freedom, but it is the door to freedom, so you’d pick that door.

If the liar answers “no,” he’s lying that the honest guard would say it’s not the door to freedom, but it is the door to freedom, so you’d pick that door.

If “Yes”


IF the truthful guard answered that the liar would say “yes,” it’s the door to freedom, it’s not because the other guard is a liar, it’s actually the door to captivity, so you’d pick the opposite door.

If the liar answered “yes,” he’s lying that the truth teller would say it is the door to freedom, which it isn’t, so you’d pick the opposite door.


3. Ask either guard of either door, "Is that the door that leads to freedom?"

You have no rule!

With the “yes or no” condition, this question doesn’t work and you still have a 50/50 chance of picking freedom

“If No”


If the liar says “no,” indicating it's not the door to freedom, he's lying, it is the door to freedom, and so you pick that door.

If the truth teller says “no,” indicating it’s not the door x for freedom, he’s telling the truth, it’s not the door to freedom, and so you’d pick the other door.

“If Yes”


If the liar say “yes,” indicating it is the door to freedom, he’s lying and it’s the door to captivity, so you’d pick the opposite door.

If the truth teller says “yes,” indicating it really is the door to freedom, it is the door to freedom so you’d pick that door.

4. Ask either guard of either door, “Is that the door to captivity?”

The question is also no better than guessing.

“If No”


If the liar says “no,” indicating it's not door x for captivity, he's lying, it really is the door to captivity, and you’d pick the opposite door.

If the truth teller says “no,” indicating it’s not the door x for captivity, he’s telling the truth that it’s not the door to captivity but is the door to freedom, and so you’d pick that door.

“If Yes”


If the liar say “yes,” indicating it is the door to captivity, he’s lying, you now know it’s the door to freedom so you’d pick that door.

If the truth teller says “yes,” indicating it really is the door to captivity, it is the door to captivity, so you’d pick the other door.

WokeUpDead
February 3rd, 2005, 12:32 AM
You could just slip him a 20

sari0009
February 3rd, 2005, 12:45 AM
:fpartyfav

Funny is very good after that riddle.

AS_Legion
February 3rd, 2005, 01:39 AM
The original riddle goes that you can ask each guard one question.

That way you would ask one a question for which you knew a definite answer:
"Is this a door?"

That way you would know if he is the truthful or the lying one.

sari0009
February 3rd, 2005, 01:42 AM
The original riddle goes that you can ask each guard one question.

Actually the original riddle said "You may ask one guard one question, to which he can only answer "yes" or "no"-- Not that you could ask each guard one question.

MoonDragn
February 3rd, 2005, 02:08 AM
Two Doors- One leads to captivity and the other leads to freedom, you dont know which. A guard stands in front of each door - one always lies and the other always tells the truth and you have no way of knowing who the liar is or who the truth-teller is. You may ask one guard one question, to which he can only answer "yes" or "no". Each guard knows who the other one is and which door is which. What is the question whos answer would absolutely direct you to the door of freedom?

Can't assume the honest guard is in front of the door to freedom.

The way I would ask is "If I asked the other guard if the door he is standing in front of is the door to freedom, would he say yes?"

4 conditions then exist

1. Guard you asked - Liar, other guard in front of freedom door - Answer No
2. Guard you asked - Liar, other guard not in front of freedom door - Answer Yes
3. Guard you asked - Truth, other guard in front of freedom door - Answer No
4. Guard you asked - Truth, other guard not in front of freedom door - Answer Yes

All the No answers mean the other guard is in front of the freedom door
All the Yes answers means the guard you asked is in front of the freedom door.
You would never actually know which one is the truth or liar in this situation.

MoonDragn
February 3rd, 2005, 02:19 AM
Yes, that is the way I learned the riddle a long time ago. :) And you have to ask one of the guards if the other knows which door is the right door. As they both know which door is the right door, the liar will say, "No," while the truth-teller will say, "Yes." If he says, "Yes," you go through his door. If he says, "No," you go through the other door.

This riddle is not the same as the one you learned long ago, but a variation of it. The popular riddle that everyone knows was on Dr. Who and if that were the riddle then you guys all would have been right. However this riddle is actually a trick question of the other one.

According to your logic, both of them would know which door is the right door true, but your question only finds out which one is telling the truth and which one is lying, but not who is standing in front of which door.

sari0009
February 3rd, 2005, 07:40 AM
"Two Doors- One leads to captivity and the other leads to freedom, you dont know which. A guard stands in front of each door - one always lies and the other always tells the truth and you have no way of knowing who the liar is or who the truth-teller is. You may ask one guard one question, to which he can only answer "yes" or "no". Each guard knows who the other one is and which door is which. What is the question whos answer would absolutely direct you to the door of freedom?"

It is kind of a trick question because there are two possible questions/solutions.


My solutions numbers one (1) and two (2) of message 27 (with the rules specific to each) don't work? Check 'em, please. I demonstrated that all the conditions were accounted for and that the logic rules specific to each question work. I don't need to assume which guard is in front of which door -- they know that and will answer with a lie or the truth and a "yes" or a "no" accordingly. Conveniently one always lies and one always tells the truth.

Message 27: http://mysticwicks.com/showpost.php?p=1600457&postcount=27


My answers (see numbers one and two with the rules for each in the above link) to the riddle work because they account for or take into consideration the following:


* One guard always lies and the other always tells the truth.
* Both guards know which door is the one to freedom and which one is the one to captivity.
* Both guards know which of them is a truth teller and which one of them is the liar
* The guards may answer only with a "yes" or "no"
* You may ask only one question of one guard (not one question of each guard).
* There are actually two possible questions (with their logic rules for each) that will work for this riddle, not one as the riddle suggests.

Dr. Who? Oh for Pete's sakes. Isn't that a TV show? Saw like one or two shows of it at most. Not much of a TV watcher.

MoonDragn
February 3rd, 2005, 10:50 AM
The problem with your solution is that you are pointing to a door. Which is not really part of the riddle, The question you ask has to fully incorporate the indication of which door you are refering to. However your logic would be correct. The reason you can't just point to a door is because the liar can just assume you are pointing to either door.

If we get over that small detail, your answer to the riddle is identical to mine. Your 2nd solution is exactly the same as the first, just a negation of the other one, which is valid.

Dr. Who is a Sci-fi tv show about a time traveller, In one episiode his companion was trapped in a glass encasement, and he was told that there are two buttons, one button will release her, the other button will release gas into the chamber. He can ask the two robot guards standing there one question only. One of the robot guards always told the truth while the other always lies. Similar riddle but only one "door" in this case.

Xentor
February 3rd, 2005, 01:19 PM
The same riddle came up in the manga show Yugio. He solved it by faking.

sari0009
February 3rd, 2005, 01:32 PM
The problem with your solution is that you are pointing to a door. Which is not really part of the riddle, The question you ask has to fully incorporate the indication of which door you are refering to. However your logic would be correct. The reason you can't just point to a door is because the liar can just assume you are pointing to either door.

If we get over that small detail, your answer to the riddle is identical to mine. Your 2nd solution is exactly the same as the first, just a negation of the other one, which is valid.<snip>

I'd like to point out that there was no prohibition to pointing, the logic and questions did work with pointing involved, but I'll change the wording (see below) and note the pointing isn't actually necessary anyway.

It wouldn't be both of my answers (see one and two, below) that are identical to your one answer (shown in your message 32 (http://mysticwicks.com/showpost.php?p=1600587&postcount=32)), mine goes further to indicate that there are two questions you could ask, and each correct answer additionally demonstrates how the logic works, as requested in message 5 (http://mysticwicks.com/showpost.php?p=1600109&postcount=5), which I'm going to take into account. Lilith Morgaine asked for the answer to the riddle in her message one and the logic to it in message five. You can put the rules side by side and compare those too, if you'd like. They are not identical/interchangeable.



Compare:

1. "If I were to ask the other guard if your door leads to captivity, what would he say?"

with

2. “If I were to ask the other guard if your door leads to freedom, what would he say?"

(The questions in number one and number two are not negations of each other but their rules do indeed contain inverse logic when compared.)


Remember, you can only ask one question of one of the guards.


*****************************************************

The Riddle:

Two Doors- One leads to captivity and the other leads to freedom, you dont know which. A guard stands in front of each door - one always lies and the other always tells the truth and you have no way of knowing who the liar is or who the truth-teller is. You may ask one guard one question, to which he can only answer "yes" or "no". Each guard knows who the other one is and which door is which. What is the question whos answer would absolutely direct you to the door of freedom?

It is kind of a trick question because there are two possible solutions.

My solutions numbers one (1) and two (2) demonstrate that all the conditions were accounted for and that the logic rules specific to each question work. I don't need to assume which guard is in front of which door -- they know that and will answer with a lie or the truth and a "yes" or a "no" accordingly. Conveniently one always lies and one always tells the truth.

My answers number one and two both account for or take into consideration the following:

* One guard always lies and the other always tells the truth.
* Both guards know which door is the one to freedom and which one is the one to captivity.
* Both guards know which of them is a truth teller and which one of them is the liar
* The guards may answer only with a "yes" or "no"
* You may ask only one question of one guard (not one question of each guard).
* There are actually two possible questions (with their logic rules for each) that will work for this riddle, not one as the riddle suggests.

Either one or two below, with the logic rules, would get you to freedom.

1. Ask a guard, "If I were to ask the other guard if your door leads to captivity, what would he say?"

Rules for Question number one: If the guard answers "no," pick the opposite door. If the guard says “yes,” then pick that door.

If “No”


If the truthful guard answers “no,” he’s telling you the liar would say it isn’t the door to captivity, but of course it is the door to captivity, so being the freedom loving human you are, you’d pick the opposite door.

If the liar answers “no,” he’s trying to mislead you to believe that honest guard would say “no” to it being the door to captivity, but it is the door to captivity, so you’d want to pick the opposite door.


If “Yes”


If the truthful guard answers “yes,” it means the other/liar would say it is the door to captivity, which of course it’s not; it’s really the door to freedom so you’d pick that door.

If the liar answers “yes,” it means he’s lying that the truthful guard would say it is the door to captivity, which of course it isn’t, so you’d pick that door.


2. Now, let’s see, what if I asked a guard “If I were to ask the other guard if your door leads to freedom, what would he say?"

Rules for Question number two: If the guard answers "no," pick that door. If the guard says “yes,” then pick the opposite door.

If “No”


If the truthful guard answers “no,” he’s indicating the other/liar would lie and say it’s not the door to freedom, but it is the door to freedom, so you’d pick that door.

If the liar answers “no,” he’s lying that the honest guard would say it’s not the door to freedom, but it is the door to freedom, so you’d pick that door.


If “Yes”


If the truthful guard answered that the liar would say “yes,” it’s the door to freedom, it’s not because the other guard is a liar, it’s actually the door to captivity, so you’d pick the opposite door.

If the liar answered “yes,” he’s lying that the truth teller would say it is the door to freedom, which it isn’t, so you’d pick the opposite door.



3. Ask either guard of either door, "Is yours the door that leads to freedom?"

You have no rule! This question is not the answer, hehe.

With the “yes or no” condition, this question doesn’t work and you still have a 50/50 chance of picking freedom

“If No”

If the liar says “no,” indicating his is not the door to freedom, he's lying, it is the door to freedom, and so you pick that door.

If the truth teller says “no,” indicating his door is not the door to freedom, he’s telling the truth, it’s not the door to freedom, and so you’d pick the other door.


“If Yes”



If the liar say “yes,” indicating his is the door to freedom, he’s lying and it’s the door to captivity, so you’d pick the opposite door.

If the truth teller says “yes,” indicating his really is the door to freedom, it is the door to freedom so you’d pick that door.


4. Ask either guard of either door, “Is yours the door to captivity?”

The question is also no better than guessing. You have no rule. This is not the question that would be one of the answers.

“If No”

If the liar says “no,” indicating his is not door x for captivity, he's lying, it really is the door to captivity, and you’d pick the opposite door.

If the truth teller says “no,” indicating it’s not the door x for captivity, he’s telling the truth that it’s not the door to captivity but is the door to freedom, and so you’d pick that door.


“If Yes”


If the liar says “yes,” indicating his is the door to captivity, he’s lying, it’s the door to freedom so you’d pick that door.

If the truth teller says “yes,” indicating his really is the door to captivity, it is the door to captivity, so you’d pick the other door.

sari0009
February 3rd, 2005, 01:36 PM
The same riddle came up in the manga show Yugio. He solved it by faking.

Faking? Expound please.

Yvonne Belisle
February 3rd, 2005, 03:00 PM
Looks to me like someone has seen Labyrinth too many times lol.

sari0009
February 3rd, 2005, 03:13 PM
Looks to me like someone has seen Labyrinth too many times lol.

Not sure if I ever watched Labyrinth, so I ask what does your reference mean and who are you are referring to?

Why would this one possibility as to motivation and interest ("seen Labyrinth too many times") come to your mind, considering all the other possibilities?

I never got into riddles like this before, but I will tell you I did enjoy some of the logic puzzles (I find solving them meditative) that I found in computer programming. I haven't done any computer programming for, oh, about five years now. Answering riddles like this in this format can help keep a person sharp by making them exercise their logic and attention to detail. Doing so can also teach a number of things including what other people do and don't notice and why (wording, formattng, and so on).

MoonDragn
February 3rd, 2005, 03:44 PM
Sari, I already said your answer was basically correct. Yes worded like you changed it makes it 100 times clearer. I did mention you were logically correct? What I mean by negation in terms of Logic is the boolean logic of the inverse of the statements in this case you can change all the 1s to 0s(yes to no, freedom to captivity) and achieve the same results. So basically asking the guard "If I were to ask the other guard if your door leads to captivity, what would he say?" is a negation of the question “If I were to ask the other guard if your door leads to freedom, what would he say?"

sari0009
February 3rd, 2005, 03:58 PM
Sari, I already said your answer was basically correct. Yes worded like you changed it makes it 100 times clearer. I did mention you were logically correct? What I mean by negation in terms of Logic is the boolean logic of the inverse of the statements in this case you can change all the 1s to 0s(yes to no, freedom to captivity) and achieve the same results. So basically asking the guard "If I were to ask the other guard if your door leads to captivity, what would he say?" is a negation of the question “If I were to ask the other guard if your door leads to freedom, what would he say?"

Yes, you said my logic was basically correct, and my answer shows I obviously recognize that, but that's not the thing that gets me.

The thing that gets me is how do you propose to fit the boolean logic into the one question that you can ask one of the guards, for they can answer only "yes" or "no."

Yes, at this point the answer is down to a tiny point, so how would a teacher/other grade/assess the answers? That's what I want to know.

MoonDragn
February 3rd, 2005, 04:05 PM
I'm not sure I understand your question Sari. The reason I was asking about your answer is because you have questions 3 and 4 which has no relation to the solution whatsoever. What are you actually showing there?

You are correct you can only ask one question, therefore there is only one solution of two possible answers. You can give either the first answer or the second answer, but you can't give both as that would be two questions.

sari0009
February 3rd, 2005, 04:25 PM
I'm showing that three and four don't work and why, for the curious, for the exercise, and because going through the logic completely helps me come up with questions.

I did clearly and considerately forewarn others that only one and two are correct so they know ahead of time that they don't have to read three and four at all if they don't want to go over why those can't be correct.

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Enough of that, let's get back to the correct answer(s).

You're able to ask only one guard only one question, right? So my question to you is this:

IF you accept that there is only one question that is the answer to this riddle, how would you word the one question using that boolean logic you described?

(I interject that this logic reminds me of some logic found in some religions, hehe.)

Either you can account for and demonstate (please, type it out for those who need to see it) the boolean logic in the one question and get a propper answer with the "yes" or "no" the guard can answer with

Or

There actually are two questions (below), each which would function, with their rules, as an answer that met all the conditions (such as you can only ask one question of one guard).



1. "If I were to ask the other guard if your door leads to captivity, what would he say?"

2. “If I were to ask the other guard if your door leads to freedom, what would he say?"

In other words you'd have to stretch the logic/boolean over two questions because which ever guard ends up answer can only answer "yes" or "no." Either question number one or number two (and it's rules, shown previously in message 37 (http://mysticwicks.com/showpost.php?p=1601318&postcount=37) and before), if the only question asked (according to the conditions), would get you the door to freedom.

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A little aside on the emotional reactions I may or may not be picking up on regarding logic like this:

I wonder about the real life and now world-wide implications (regarding emotional reactions to intense and/or drawn out logic) and their consequences.

Specifically...

If enough/most people tend to get annoyed, turn away, or have negative associations with taking logic this far and with being this thorough...Well, could that be why people who hack and write worms seem to be more thorough and persistent than ... say ... Microsoft employees who only focus on getting what needs to be done "finished."

What if more people considered toying with logic and taking it "way too far" as "positive" (such as meditative, fun, challenging, a learning experience, and so on) and maybe even enjoyable?

Would MSN programs work better and need less patches? Would those who hack and write worms/viruses have less "wiggle room" with which to make our lives freaking miserable at times?