- #1
Jonnyb42
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Summary is below, here are the original videos.
(Also, in case this problem has been posted before, you can show me the link, I could not find it.)
The Original Problem: http://www.youtube.com/watch?v=rBaCDC52NOY"
The Solution: http://www.youtube.com/watch?v=-xYkTJFbuM0"
(I have a problem with this solution which I will explain.)
In case you don't want to watch all of it here is my summary:
100 perfect logicians are in a room, each knows:
There are 99 others.
At least 1 of them has had their forehead previous painted blue.
(Each doesn't know if they are blue or not.)
Scenario:
They enter the room in the dark. Then the lights turn on, they make deductions but cannot communicate with each other. Then the lights go off, and those that fully deduced that they are painted blue leave. The lights turn back on, they do more deducing, and the the lights go off and the process repeats.
Now the question is:
If they are all painted blue, what happens?
I don't have a summary for the solution, you will have to watch the video for that.
Without the explanation, the simple answer is:
It makes sense, but there is a problem when thought about differently:
What I think the answer is:
I understand both ways, but both ways have different results, leaving me confused.
What do you guys think?
(Also, in case this problem has been posted before, you can show me the link, I could not find it.)
The Original Problem: http://www.youtube.com/watch?v=rBaCDC52NOY"
The Solution: http://www.youtube.com/watch?v=-xYkTJFbuM0"
(I have a problem with this solution which I will explain.)
In case you don't want to watch all of it here is my summary:
100 perfect logicians are in a room, each knows:
There are 99 others.
At least 1 of them has had their forehead previous painted blue.
(Each doesn't know if they are blue or not.)
Scenario:
They enter the room in the dark. Then the lights turn on, they make deductions but cannot communicate with each other. Then the lights go off, and those that fully deduced that they are painted blue leave. The lights turn back on, they do more deducing, and the the lights go off and the process repeats.
Now the question is:
If they are all painted blue, what happens?
I don't have a summary for the solution, you will have to watch the video for that.
Without the explanation, the simple answer is:
All of them will leave together on the 100th night.
It makes sense, but there is a problem when thought about differently:
Since everyone knows that everyone can see at least one blue, everyone knows that (everyone else knows) nobody will leave the first night. Therefore, (it is an open fact) no information is gained by each person after the first night. Any remaining nights must be the same, so nobody will ever know for sure if they are blue or not.
What I think the answer is:
They would stay there forever. 4 number of people and up makes it impossible to tell.
I understand both ways, but both ways have different results, leaving me confused.
What do you guys think?
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