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 Post subject: Re: Puzzles, Jokes, Anecdotes, and Thoughts
PostPosted: Mon Nov 19, 2012 1:49 pm 
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That's easy. Being logicians they would take the question "do you ALL want beer" literally, not pertaining to themselves alone. So if the first two had not wanted beer, they both would have answered NO.


I agree with Chris :D

In Sentential Logic (smart, aren't I? 8) ) It's a Modus Tollens argument. If P then Q; not Q; therefore not P.

Q is the idea that they don't want beer

P is them having said "No," I don't want beer."

Condition P isn't true so Condition Q can't be the corollary.

So they would have to say no. But they couldn't have known until all three of them answered and nobody objected as the third person said "YES!"

Got it right, no?!

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 Post subject: Re: Puzzles, Jokes, Anecdotes, and Thoughts
PostPosted: Mon Nov 19, 2012 2:48 pm 
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Two negatives equal positive, so yes they all want a beer. And so do I! :)

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 Post subject: Re: Puzzles, Jokes, Anecdotes, and Thoughts
PostPosted: Mon Nov 19, 2012 6:50 pm 
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It boils down to simple Boolean logic, with particular reference to deMorgan's laws.

Bearing in mind that, as Chris rightly points out, each logician's answer doesn't state whether he wants beer, but whether they all do, the circumstances in which he can give each of the 3 possible answers are as follows:
"Yes": When and only when he wants beer AND knows that both others do too.
"No": When and only when he does not want beer OR knows that at least one of the others doesn't.
"I don't know": In all other circumstances.

This third answer therefore indicates (NOT "yes") AND (NOT "no"). Applying the circumstances under which "yes" and "no" may be given, this means:

(NOT(he wants beer AND he knows both others want beer)) AND (NOT(he does not want beer OR he knows at least one of the others wants no beer)).

DeMorgan's rules are that NOT(A AND B) is equivalent to ((NOT A) OR (NOT B))
and that NOT(A OR B) is equivalent to ((NOT A) AND (NOT B)).
Applying these to the above, we get:

(he does not want beer OR he doesn't know both others want beer) AND (he does want beer AND he doesn't know that at least one of the others wants no beer).

In turn, this is equivalent to:

(he doesn't know the others both want beer) AND (he wants beer) AND (he doesn't know at least one of the others doesn't want beer).

For a logician to answer "I don't know", all three parts of this proposition must be true, in particular the middle one. His "I don't know" answer therefore tells us (or at least the other logicians) that he wants beer.

The second logician now knows the first one wants beer, but doesn't know what the third one wants. Again, his "I don't know" answer indicates that he does want beer.

The third logician now knows that both the others want beer.


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 Post subject: Re: Puzzles, Jokes, Anecdotes, and Thoughts
PostPosted: Mon Nov 19, 2012 7:40 pm 
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Stop it ! The horse is dead already :P

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 Post subject: Re: Puzzles, Jokes, Anecdotes, and Thoughts
PostPosted: Mon Nov 19, 2012 8:02 pm 
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Very good, Chris and the rest! Now try this one: Arthur is looking at Betty, Betty is looking at Charles. Arthur is married: Charles is not.

Can it be deduced whether one of the three is married and looking at an unmarried one?


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 Post subject: Re: Puzzles, Jokes, Anecdotes, and Thoughts
PostPosted: Mon Nov 19, 2012 11:00 pm 
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Location: Edinburgh, Scotland
I have a feeling I've seen this one before somewhere.
Yes it can.
Betty is either married or not. In both cases the answer which can be deduced is YES.
Either married Betty is looking at unmarried Charles, or married Arthur is looking at unmarried Betty.


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 Post subject: Re: Puzzles, Jokes, Anecdotes, and Thoughts
PostPosted: Sun Mar 17, 2013 11:35 pm 
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I just read the most amazing story about the composer Puccini ! One day he heard a voice singing outside his window. It was a man's voice,

expressing such beauty and feelling that Puccini was moved to the heart.When he looked out, he saw the man was a convict, who had been ordered to

mend the roads. His feet were still in irons.Puccini could not believe that a man who could sing so exquisitely, with his whole soul, could really be a

criminal. He interceded with the Queen of Italy and obtained a pardon. The condemned man was permitted to return to his wife and child, and forever

after he revered the composer with dog-like devotion.


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 Post subject: Re: Puzzles, Jokes, Anecdotes, and Thoughts
PostPosted: Mon Mar 18, 2013 2:13 pm 
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That's a nice story, Raymond! At first I thought there was going to be a joke at the end.

Speaking of jokes, riddles, puzzles...do you have a new one for us? I've got a little joke:

There was a man addicted to brake fluid. He said he could stop any time. :P

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 Post subject: Re: Puzzles, Jokes, Anecdotes, and Thoughts
PostPosted: Tue Mar 19, 2013 3:05 pm 
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There was a man addicted to brake fluid. He said he could stop any time.

hehe, :lol:

great pun

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 Post subject: Re: Puzzles, Jokes, Anecdotes, and Thoughts
PostPosted: Fri Apr 05, 2013 4:33 am 
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Do any of you know who wrote CHOPSTICKS ? Those who don't will be most surprised !


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 Post subject: Re: Puzzles, Jokes, Anecdotes, and Thoughts
PostPosted: Fri Apr 05, 2013 2:06 pm 
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I think I used to know, but I've forgotten. Hmmm....thinking...
I won't cheat (this time) and look it up now.

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my videos: http://www.youtube.com/user/monicapiano
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 Post subject: Re: Puzzles, Jokes, Anecdotes, and Thoughts
PostPosted: Sat Apr 06, 2013 3:36 pm 
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Hoagy Carmichael?

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 Post subject: Re: Puzzles, Jokes, Anecdotes, and Thoughts
PostPosted: Sat Apr 06, 2013 3:41 pm 
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A quote from Love in the Afternoon directed by Billy Wilder and starring Gary Cooper and Audrey Hepburn (1957)

"Verdi,Versini, Puccini; that’s music for an organ grinder with a monkey. But Wagner! That’s another matter entirely…"

-Michel (Ariane's boyfriend)

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 Post subject: Re: Puzzles, Jokes, Anecdotes, and Thoughts
PostPosted: Sat Apr 06, 2013 6:13 pm 
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The composer of chopsticks was Borodin.


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 Post subject: Re: Puzzles, Jokes, Anecdotes, and Thoughts
PostPosted: Sun Apr 07, 2013 4:35 am 
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You are right, Raymond, I would never have guessed Borodin.

Good guess, Riley...

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my videos: http://www.youtube.com/user/monicapiano
my personal website: http://www.monicaalianello.com


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