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General Discussion / Re: Logic problems
« on: March 12, 2013, 06:43:15 pm »
Oh interesting! Building from Jack Rudd's result then that Helen's brother is Mr. White:
Sorry, how did we get that?
He demonstrated that back in page 7.
Oh interesting! Building from Jack Rudd's result then that Helen's brother is Mr. White:
Sorry, how did we get that?
Oh interesting! Building from Jack Rudd's result then that Helen's brother is Mr. White:
The second bullet point basically just says "Mr. White's sister, Helen, who is married to her husband, got married on her January birthday."
The first bullet point says that Helen's husband was born in August, and they are 26 weeks apart in age.
Note that August 1st is exactly 26 weeks after January 31st, on a non-leap year. So Helen and her husband who were born on the same year, were not born on a leap year. John however, was born in 1868 according to point 5, which is a leap year, so John isn't Helen's husband.
Using that information, if Helen is Mrs. Brown, then we have Helen Brown née White, which means that the other two women must be Marguerite White née Black, and Beatrice Black née White. Since John isn't married to Helen, he must be Mr. White, leaving Arthur as Mr. Black. But this means Arthur's sister is Beatrice, which can't be the case since Arthur's sister must be taller than Beatrice.
So Beatrice must be Mrs. Brown.
Endless loop. Crashes the universe.
Revealing cards until you reveal a card which meets certain criteria "usually" has the consequence of leaving you, on average, with a lower proportion of cards in your deck which meet that criteria.Actually, if you do this calculation, what you find is that this extreme case (with only 1 saboteurable card in the deck) is a singular one. For any other number of saboteurable cards in the deck the remaining deck quality does not change.
So, on average, loan leaves you with a deck with proportionally less treasures, and saboteur leaves you with a deck with proportionally less cards costing 3$+. The effect, however, is pretty ignorable, on average.
This can be demonstrated (painfully), but if you want to visualize it, imagine the extreme case of two players that open saboteur/nothing, and assume that P1 plays saboteur turn 1, before P2 has a chance to draw his five cards because of some obscure rule that doesn't exist. So P2 is left with 0/n cards costing 3$+ in his deck (n being the number of cards not cycled, and averages 5), which is lower than the normal 1/11.
EDIT: to clarify, this has nothing to do with reshuffle. If you know you have exactly 1 saboteurable card in your remaining deck, then you know you will not trigger a reshuffle by the saboteur. As long as that card is not the last card in your deck, your average quality of the remaining deck will be 0. If that card is the last card, the remaining deck quality is undefined; but any sensible definition will not define that to be higher than the original average, so in this case the average quality of the next card is indeed lower.
It is quite curious why this case is just different from the cases for all other number of saboteurable cards in your deck though.
I didn't say spelling rules are subtle and grammatical rules aren't. Grammatical rules are often very subtle. Since spelling isn't language per se, but just a technology for writing language down, it's more likely to have rules of the sort that people can consciously think of and functionally justify, like "do it this way to avoid ambiguity", and if you don't do it that way, you're wrong. Spelling isn't not controlled directly by the underlying grammatical mechanisms of the brain, so it doesn't have to operate in grammatical terms.
One, "anywhere that they lead to this type of ambiguity" is simply not the type of rule grammars can contain; it's too open-ended and depends on too many non-linguistic concepts.
There is no central authority.
If you are into obscure music jokes, I suggest Don't Shoot the Pianist.
e.g. http://euge.ca/2012/09/16/birthday/
http://euge.ca/2012/05/18/octave/
http://euge.ca/2012/05/04/three-hands/
http://euge.ca/2012/01/13/interruption/
If any of you lack the capacity to solve problems involving infinitely countable hats (I know I do), here's one of my favourite puzzles (this one is by Raymond Smullyan; I had to retranslate the version I have, so sorry if the English is wonky):
In 1918, the day the First World War armistice was signed, three married couples celebrated the occasion dining together. Each husband is the brother of one wife, and each wife is the sister of one husband; that is, there are three brother-sister pairs in the group. We know the following:
-Helen is exactly twenty-six weeks older than her husband, who was born in august.
-The sister of Mr. White, who is married to the brother-in-law of Helen’s brother, got married to him on her birthday, which is in January.
-Marguerite White isn’t as tall as William Black.
-Arthur’s sister is taller than Beatrice.
-John is fifty years old.
What is Mrs. Brown first name?
I think it would be a lot faster to have the maiden who goes into the tower Day 1 to set the switch in the proper off position.A witch captures 50 maidens. She puts them all in a dungeon and tells them: "Tomorrow morning I will separate you into 50 separate cells, so you will not be able to communicate or see each other in any way after tonight. Then every once in a while, a few times a day or so, I will randomly choose one of you and take you to my tower.
The information isn't exact enough that you can do that. I don't think it is guaranteed that any of them will be taken the first day. Depends on how you read the problem, I guess.
Helen
Oops, forgot to mention that this is probably late March - early April. The plan was to see Barca v Mallorca, which I gather is not a particularly 'hot' match. When should I buy those tickets? Where should I sit in Camp Nou? Is there any concern that Barca fields a team of B players, so that I don't actually get to see Messi/Iniesta/etc.?
My Spanish is poor. My wife's is much better, but mostly Latin American. I'm going to get ready to hear a lot of "Ethh-pañol" :-)
Finally, the plan is to visit Sevilla and/or Granada. No set plan -- any recommendations? (Other than delicious sangria)