Author Topic: Common knowledge (logic) - The blue-eyed islanders puzzle  (Read 3681 times)

dougal4chaos

  • Political - Member of Parliament
  • Posts: 124
Re: Common knowledge (logic) - The blue-eyed islanders puzzle
« Reply #20 on: September 20, 2014, 10:00:49 am »
I'm pretty sure I typed it correctly and I'm equally sure we've not got the answer I'm looking for as yet  :lol:

well the majority agree that nothing changes so what answer did you expect, pm me if you want.
I pledge allegiance to the flag of the UK BUT not the flag of the EU to which it belongs.
"We find out who did it and we kill them, we kill their supporters and we kill their friends, and then we kill any one that liked what they did"

Carlini8

  • MU - Command - The Legion
  • Posts: 678
Re: Common knowledge (logic) - The blue-eyed islanders puzzle
« Reply #21 on: September 20, 2014, 12:09:58 pm »
I think we are supposed to assume that everyone looks at the eye colour of everyone else and sort of notes down in their head what colour they were.

paultyndale

  • Party - TUP
  • Posts: 192
Re: Common knowledge (logic) - The blue-eyed islanders puzzle
« Reply #22 on: September 20, 2014, 02:44:37 pm »
Ok, let's consider these scenarios:-

If you consider the case of just one blue-eyed person on the island, He looks around and sees no other blue eyed people and deduces the foreigner must be referring to him and he must commit suicide at noon on day 2.

[THEOREM 1] If there is one blue-eyed person, he will commit suicide on day 2.

If there are two blue-eyed people, they will each look at the other. They will each realize that "if I don't have blue eyes [HYPOTHESIS 1], then that guy is the only blue-eyed person. And if he's the only person, by THEOREM 1 he will commit suicide on day 2." They each wait and see, and when neither of them commit suicide on day 2, each realizes "HYPOTHESIS 1 was incorrect. I must have blue eyes." And each commits suicide on day 3.

So: [THEOREM 2]: If there are two blue-eyed people on the island, they will each commit suicide on day 3.

If there are three blue-eyed people what will happen and when?




dougal4chaos

  • Political - Member of Parliament
  • Posts: 124
Re: Common knowledge (logic) - The blue-eyed islanders puzzle
« Reply #23 on: September 20, 2014, 02:55:32 pm »
but theres a hundred and your not going to see 100 at the same time
I pledge allegiance to the flag of the UK BUT not the flag of the EU to which it belongs.
"We find out who did it and we kill them, we kill their supporters and we kill their friends, and then we kill any one that liked what they did"

ApronChef

  • Magick Panda
  • RP
  • Posts: 2440
  • Everything is a statistic.
Re: Common knowledge (logic) - The blue-eyed islanders puzzle
« Reply #24 on: September 20, 2014, 04:24:54 pm »
Can't we just kill them all anyway?

Rob the Bruce

  • Party - UKRP
  • Posts: 197
Re: Common knowledge (logic) - The blue-eyed islanders puzzle
« Reply #25 on: September 20, 2014, 08:33:00 pm »
Ugh just nuke the bloody island.
Let's all bicker like married people that loathe each other.

ApronChef

  • Magick Panda
  • RP
  • Posts: 2440
  • Everything is a statistic.
Re: Common knowledge (logic) - The blue-eyed islanders puzzle
« Reply #26 on: September 20, 2014, 09:47:08 pm »
Ugh just nuke the bloody island.

We're not Americans, we perform executions to achieve genocide.

If you're not going to play by the rules, leave.

Malkaiser

  • Posts: 7572
Re: Common knowledge (logic) - The blue-eyed islanders puzzle
« Reply #27 on: September 21, 2014, 12:25:22 am »
You guys are really clever discussing such a deep and thought provoking problem.

ApronChef

  • Magick Panda
  • RP
  • Posts: 2440
  • Everything is a statistic.
Re: Common knowledge (logic) - The blue-eyed islanders puzzle
« Reply #28 on: September 21, 2014, 07:12:12 am »
You guys are really clever discussing such a deep and thought provoking problem.

You're really fucking smart to have made a fuss about quitting, but oh, here you are :)

Malkaiser

  • Posts: 7572
Re: Common knowledge (logic) - The blue-eyed islanders puzzle
« Reply #29 on: September 21, 2014, 03:09:27 pm »
You guys are really clever discussing such a deep and thought provoking problem.

You're really fucking smart to have made a fuss about quitting, but oh, here you are :)

I agree, we should ban Johnobrow from the forums.

Sorry guys this forum is 2 clicks away on tapatalk when I'm bored at the train station :)

Iain Keers

  • Party - TUP
  • Posts: 12057
Re: Common knowledge (logic) - The blue-eyed islanders puzzle
« Reply #30 on: September 21, 2014, 03:56:35 pm »
Johnobrow isn't as much of a dick as you are.
"Come to me, all who labour and are heavy laden, and I will give you rest." ~ Mt 11:28

ApronChef

  • Magick Panda
  • RP
  • Posts: 2440
  • Everything is a statistic.
Re: Common knowledge (logic) - The blue-eyed islanders puzzle
« Reply #31 on: September 21, 2014, 05:44:33 pm »
You guys are really clever discussing such a deep and thought provoking problem.

You're really fucking smart to have made a fuss about quitting, but oh, here you are :)

I agree, we should ban Johnobrow from the forums.

Sorry guys this forum is 2 clicks away on tapatalk when I'm bored at the train station :)

You miss us that much, how touching.

Do not touch people.

 

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