Timeline for Five logicians with one or two hats [7,8,9]
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 31, 2015 at 23:16 | comment | added | Brilliand | @mbeckish I think Novarg was making the same assumption as me, though. | |
| Mar 31, 2015 at 22:18 | comment | added | mbeckish | @Brilliand - I think I see the confusion. We are assuming the game ends when the 1 hatted logician identifies his hat, while you are assuming everyone needs to identify their number of hats. | |
| Mar 31, 2015 at 21:04 | comment | added | Brilliand | @mbeckish If someone says "I don't know", that means they see at least one 1-hat logician among the others. If it's your turn, and the only other person with 1 hat already said "I don't know", then you must be the other person with 1 hat who he saw - so you know you have 1 hat even with only 8 hats in play total. As far as the logicians who said "I don't know" know, that's exactly what happened. | |
| Mar 31, 2015 at 20:35 | comment | added | mbeckish | @Brilliand - No, this is correct. How do you justify your statement " if the logician with 1 hat didn't go first, he could have figured out that he had 1 hat even with only a total of 8 hats in play"? | |
| Mar 31, 2015 at 20:04 | comment | added | Brilliand | @Brian The flaw is that if the logician with 1 hat didn't go first, he could have figured out that he had 1 hat even with only a total of 8 hats in play, so his answer doesn't solve the puzzle for everyone unless he goes first. This answer pretends that "I don't know" provides no information. | |
| Mar 31, 2015 at 20:02 | comment | added | Brian | @IanMacDonald Could you explain where the flaw is? I come to the same conclusion as Novarg. | |
| Mar 31, 2015 at 16:30 | comment | added | Ian MacDonald | Not quite true. | |
| Mar 31, 2015 at 16:24 | history | answered | Novarg | CC BY-SA 3.0 |