If asking the thruthful guard, he will point to the door the liar says is safe, which would be the bad door.
If asking the liar, he would consider what the thruthful guard says is safe, then reverse that answer, still ending up on the bad door.
They cancel out, so whichever guard you ask doesn’t matter.
The question we ask if “What would the other guard say if I asked him which door is the good one?”
Liar says Bad Door
Truther says Bad Door
Now, for their answers to update, they would have to ne answering the question, “Which door would the other guard say if I asked him ‘Which guard would the other guard say is the good door?’”
We want a guard to answer “What would the other guard say is the good door?” Regardless of how they answer our “outer” question, the answer to the “inner” question (“which is the good door?”) doesn’t change.
Liar doesn’t care that Truther would say that “Liar would say the right door is the good one,” Liar is being asked how Truther would answer “Which door is the good one”.
I know I basically just said the same thing three times. My brain isn’t working to break this out the elegant way I can’t quite assemble. But hopefully some part of all this helps. The crux is that the question that they are imagining the other guard’s answer to is not the same question they themselves are being asked.
How is that a valid answer, they would both point at a different door
They will both point to the bad door.
If asking the thruthful guard, he will point to the door the liar says is safe, which would be the bad door. If asking the liar, he would consider what the thruthful guard says is safe, then reverse that answer, still ending up on the bad door.
They cancel out, so whichever guard you ask doesn’t matter.
Wouldnt they instead keep pointing like clockwork towards different doors seeing that they would have to adjust for the other guard?
No because them pointing at a door is answering a different question than the one that was posited in the question.
The liar, knowing the truth-teller will point to the good door, points to the bad door.
The truth-teller, knowing the liar would point to the bad door, points to the bad door.
Either way, you take the one your guard doesn’t point to.
But they would have to keep adjusting since they both have to answer acco4ding to what the other one says
no because the question was which door would the other person say is safe, they both point to the not safe door
The question we ask if “What would the other guard say if I asked him which door is the good one?”
Liar says Bad Door
Truther says Bad Door
Now, for their answers to update, they would have to ne answering the question, “Which door would the other guard say if I asked him ‘Which guard would the other guard say is the good door?’”
We want a guard to answer “What would the other guard say is the good door?” Regardless of how they answer our “outer” question, the answer to the “inner” question (“which is the good door?”) doesn’t change.
Liar doesn’t care that Truther would say that “Liar would say the right door is the good one,” Liar is being asked how Truther would answer “Which door is the good one”.
I know I basically just said the same thing three times. My brain isn’t working to break this out the elegant way I can’t quite assemble. But hopefully some part of all this helps. The crux is that the question that they are imagining the other guard’s answer to is not the same question they themselves are being asked.