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PostPosted: Sat Jan 05, 2008 4:12 pm 
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Nathan, I specifically said that he was a male barber.

Monica, your alternative solution is really brilliant!!

Raymond


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PostPosted: Sat Jan 05, 2008 9:26 pm 
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pianolady wrote:
Paradoxes are interesting things. The following paradox was invented by Bertrand Russell : A certain male barber shaved all and only those men in his town who didn't shave themselves. In other words, he shaved every man who didn't shave himself, but never shaved anyone who shaved himself. The question is this: Did the barber shave himself or didn't he? Well, suppose he shaved himself. Then he is one of the men who shaved himself, but he never shaved such a man, hence this is impossible! On the other hand, suppose he didn't shave himself. Then he is one of the men who didn't shave himself, but he must shave every such man! Thus we get a contradiction either way! What is the way out?
Answer will be given in the next posting.


The way out is:

The bearded barber must shave himself only once, at which point he is self-shaved and can't ever shave again.
Poor guy. :lol:


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PostPosted: Sat Jan 05, 2008 10:27 pm 
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Perhaps he has no need to shave because he has the rare condition in which his body does not produce hair of any kind (facial, head, body, pubic, eye brow, etc)! Thus he has no need to shave!

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PostPosted: Sat Jan 05, 2008 11:11 pm 
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The barber is a child! :D

Pete


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PostPosted: Sun Jan 06, 2008 10:59 am 
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The solution to the barber paradox is so obvious that it tends to get overlooked! Now look, suppose I told you that a certain person was more than six feet tall and less than six feet tall--how would you explain that? The only rational explanation is that I must obviously be either mistaken or lying! There couldn't possibly be such a person. Similarly, there couldn't possibly be a barber of the sort described. Thus the answer is that there is no such barber.

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PostPosted: Sun Jan 06, 2008 1:58 pm 
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pianolady wrote:
Thus the answer is that there is no such barber.

Ah... the medieaval approach. If something creates controversy or paradox, deny its existence :)
Bit of an anticlimax isn't it !

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PostPosted: Sun Jan 06, 2008 3:36 pm 
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techneut wrote:
Bit of an anticlimax isn't it !


That's what she said! :wink:

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PostPosted: Sun Jan 06, 2008 3:51 pm 
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juufa72 wrote:
That's what she said! :wink:

Why, did you fail again ? :P

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PostPosted: Sun Jan 06, 2008 9:36 pm 
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Yea, English women aren't that exciting :lol: :wink: 8)

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PostPosted: Mon Jan 07, 2008 9:54 am 
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The following cute paradox was invented by the literary agent Lisa Collier: The president of a certain firm offered a hundred dollars as a reward to any employee who could suggest an idea that would save the firm money. One employee wrote: "Eliminate the reward!"

Another cute one: The six year old daughter of a certain philosopher once said to him:
"Daddy, I thought of a paradox--a parent who tells his child 'Don't do what I tell you!' "

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PostPosted: Mon Jan 07, 2008 10:01 am 
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juufa72 wrote:
Yea, English women aren't that exciting :lol: :wink: 8)

Good job my English spouse is not reading this forum... She'd skin you alive and have your ballocks on toast.

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PostPosted: Mon Jan 07, 2008 10:36 am 
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mmmm ... bollocks on toast. :lol:

hehe ... premature interjection :shock:

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PostPosted: Mon Jan 07, 2008 11:17 am 
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:wink: :?

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PostPosted: Mon Jan 07, 2008 11:25 am 
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juufa72 wrote:
:wink: :?

A confused wink.... who else could pull that off :roll:

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PostPosted: Mon Jan 07, 2008 11:26 am 
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Quote:
Paradoxes are interesting things. The following paradox was invented by Bertrand Russell : A certain male barber shaved all and only those men in his town who didn't shave themselves. In other words, he shaved every man who didn't shave himself, but never shaved anyone who shaved himself. The question is this: Did the barber shave himself or didn't he? Well, suppose he shaved himself. Then he is one of the men who shaved himself, but he never shaved such a man, hence this is impossible! On the other hand, suppose he didn't shave himself. Then he is one of the men who didn't shave himself, but he must shave every such man! Thus we get a contradiction either way! What is the way out?
Answer will be given in the next posting.


Define 'HIS' town. Does it mean the town where his barber shop is, or the town where he lives? It wouldn't be a paradox if he lives in a different town from where he works. :wink:


Last edited by Adam on Tue Jan 08, 2008 6:57 pm, edited 2 times in total.

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PostPosted: Tue Jan 08, 2008 9:52 am 
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--Is it possible for a person to have great grandchildren if none of his grandchildren have any children? Well, I know someone who has great grandchildren and yet none of his grandchildren have any children! How do you explain that? [The answer will be given in the next posting.]

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PostPosted: Tue Jan 08, 2008 10:04 am 
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pianolady wrote:
--Is it possible for a person to have great grandchildren if none of his grandchildren have any children? Well, I know someone who has great grandchildren and yet none of his grandchildren have any children! How do you explain that? [The answer will be given in the next posting.]

Sadly, one or more of the grandchildren have died after producing the great grandchildren.

But depending on how you define 'having children', the grandchildren could have adopted children, or married someone with children from a previous marriage. So that they would have children in the juridical sense but not in the biological sense.

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PostPosted: Tue Jan 08, 2008 12:18 pm 
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That works for me. 8)

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PostPosted: Wed Jan 09, 2008 10:01 am 
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How can it be possible that my friend has great grandchildren and yet none of his grandchildren have any children? The answer is that he has grandchildren and those kids are really GREAT! [Pretty sneaky, huh?]

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PostPosted: Wed Jan 09, 2008 10:42 am 
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:x That's the English language at its finest!

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PostPosted: Thu Jan 10, 2008 12:10 pm 
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Another sneaky one: Two brothers Bob and Bill. Bob claims to have twice as many girl friends as Bill. Bill says that they have the same number of girl friends. Could they both be right? [Answer on next posting.]

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PostPosted: Thu Jan 10, 2008 12:18 pm 
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pianolady wrote:
Another sneaky one: Two brothers Bob and Bill. Bob claims to have twice as many girl friends as Bill. Bill says that they have the same number of girl friends. Could they both be right? [Answer on next posting.]

Sneaky Bob is dating all of Bill's girlfriends without poor Bill knowing it. :lol:

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PostPosted: Thu Jan 10, 2008 1:31 pm 
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Is there a typo? You have to be careful (again English :evil: )

Is it girlfriends (as in relationship) or girl friends (as in friends who are females)?

Please clarify

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PostPosted: Thu Jan 10, 2008 3:22 pm 
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Quote:
Sneaky Bob is dating all of Bill's girlfriends without poor Bill knowing it


I think that works.

Quote:
Is it girlfriends (as in relationship) or girl friends (as in friends who are females)?


It doesn't matter. At least I don't think so. I'm not feeling very 'brilliant' today.

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PostPosted: Thu Jan 10, 2008 5:43 pm 
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pianolady wrote:
Quote:
Sneaky Bob is dating all of Bill's girlfriends without poor Bill knowing it


I think that works.

[quote]
It probably does. Can't help admiring the cunning bastard :lol:

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PostPosted: Thu Jan 10, 2008 5:59 pm 
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Quote:
Another sneaky one: Two brothers Bob and Bill. Bob claims to have twice as many girl friends as Bill. Bill says that they have the same number of girl friends. Could they both be right? [Answer on next posting.]

They don't have any girlfriends at all.


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PostPosted: Thu Jan 10, 2008 6:03 pm 
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Adam wrote:
They don't have any girlfriends at all.

Good thinking :D
The correct solution is usually the simplest one.

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PostPosted: Thu Jan 10, 2008 7:04 pm 
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No, that doesn't work. There is a much more straightfotward solution! It dorsn't have to be girl friends. Look, it could just as well be the following: Bob claims to have twice as much money as Bill, and Bill says that they both have the same amount of money, yet both of them are right. How can that be?

Raymond


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PostPosted: Thu Jan 10, 2008 7:48 pm 
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*wiping drool off chin* My brain hurts. :roll:

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PostPosted: Thu Jan 10, 2008 7:50 pm 
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rsmullyan wrote:
No, that doesn't work. There is a much more straightfotward solution! It dorsn't have to be girl friends. Look, it could just as well be the following: Bob claims to have twice as much money as Bill, and Bill says that they both have the same amount of money, yet both of them are right. How can that be?

Raymond

Bob has Euros and Bill has dollars ? :wink:

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PostPosted: Thu Jan 10, 2008 7:57 pm 
techneut wrote:
rsmullyan wrote:
No, that doesn't work. There is a much more straightfotward solution! It dorsn't have to be girl friends. Look, it could just as well be the following: Bob claims to have twice as much money as Bill, and Bill says that they both have the same amount of money, yet both of them are right. How can that be?

Raymond

Bob has Euros and Bill has dollars ? :wink:


:lol:


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PostPosted: Thu Jan 10, 2008 8:11 pm 
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I'll give you a hint: From the information given about the girl friends, one can deducr exactly how many girl frieds each one has, and in the variant I gave involving money instead of girl friends, one can deduce exactly how much money each one has!
Raymond


Last edited by rsmullyan on Thu Jan 10, 2008 8:56 pm, edited 1 time in total.

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Each have four girlfriends, but one folds his girlfriends in half, thus doubling the amount :(

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PostPosted: Thu Jan 10, 2008 8:37 pm 
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Ah cute. Bob has two (twice as many as Bill which counts for one here). Bill has none, and together they have two. That is sneaky indeed, the keyword we tend to overlook is "they".

I liked Adam's answer better as that is mathematic and does not depend on word semantics. And mine, because it is kinda funny (at least I thought that when posting :lol: )

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PostPosted: Thu Jan 10, 2008 9:05 pm 
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Joufa, there is no reason why in your solution, the number 4 should work better than any other number-- it could just as well be that each brother has ten, and one of the brothers folds five of them in half! I told you that from the information I gave, it is deducible exactly haw many each has, and there is only ONE possible solution!
Raymond


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PostPosted: Thu Jan 10, 2008 10:07 pm 
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Hmmm...this is a good question. Then, with my last gasp, I would like to ask: do imaginary girlfriends count?

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PostPosted: Fri Jan 11, 2008 12:05 am 
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Juufa, No; imaginary girl friends do NOT count!Now really; can't you think of a number such that twice the number is the same as the number itself?
Raymond


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PostPosted: Fri Jan 11, 2008 12:41 am 
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1? 1 x 1 = 1...

That seems to work...

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PostPosted: Fri Jan 11, 2008 3:05 am 
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Juufa, No, the number 1 doesn't work. Twice 1 is not the sam as 1X1. Twice 1 is i+i, which is 2. In general, for any number n, twice n is not nXn , but n+n. For example, twice 5 is certainly not 5X5 (which is 25), but 5+5, which is 10.
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PostPosted: Fri Jan 11, 2008 4:27 am 
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whoops... read the question wrong... :oops:

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"This is death! This is death as this emanation of the female which leads to unification ... death and love ... this is the abyss." This is not music", said [Sabaneev] to him, "this is something else..." - "This is the Mysterium," he said softly.


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PostPosted: Fri Jan 11, 2008 5:46 am 
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rsmullyan wrote:
Juufa, No; imaginary girl friends do NOT count!Now really; can't you think of a number such that twice the number is the same as the number itself?
Raymond

Did you not read Adam's response then ?

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techneut wrote:
Did you not read Adam's response then ?

Exactly what I was thinking. He said that doesn't work, for some reason, but as far as I know, 2x0=0. :D Perhaps there's a more clever answer that he's looking for? But I can't get past the 0, because I don't see why it doesn't work. :cry:

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Terez wrote:
techneut wrote:
Did you not read Adam's response then ?

Exactly what I was thinking. He said that doesn't work, for some reason, but as far as I know, 2x0=0. :D Perhaps there's a more clever answer that he's looking for? But I can't get past the 0, because I don't see why it doesn't work. :cry:

Yup, last time I checked, 2x0 was still zero. But you never know with today's crazy pace of science and technology... Maybe at absolute zero temperatures, things start working differently. :lol:

Raymond may have been referring to my first, contrived, 'solution'. IMO there is no more straightforward solution than the zero, but the latest hint seems to point in another direction (which I think I guessed after the hint).

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PostPosted: Fri Jan 11, 2008 9:37 am 
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techneut wrote:
the latest hint seems to point in another direction (which I think I guessed after the hint).

wellllll....aren't you going to tell us? :roll: :lol:

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Terez wrote:
techneut wrote:
the latest hint seems to point in another direction (which I think I guessed after the hint).

wellllll....aren't you going to tell us? :roll: :lol:

I already did, yesterday ! But is't probably wrong - this is an elusice one it seems...

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PostPosted: Fri Jan 11, 2008 10:24 am 
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They had no girl friends. Twice zero is the same as zero.


Now for a riddle: Which musical instrument is particularly intelligent?[[Answer next time.]

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pianolady wrote:
They had no girl friends. Twice zero is the same as zero.

Dangit, Ray! All that brain-bleeding for nothing! :lol:

Quote:
Now for a riddle: Which musical instrument is particularly intelligent?[[Answer next time.]

The clarinet? As in, like....clairvoyant? That's the best I can come up with at the moment. :D

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pianolady wrote:
They had no girl friends. Twice zero is the same as zero.

This had already been guessed, then dismissed as not correct :roll:

pianolady wrote:
Now for a riddle: Which musical instrument is particularly intelligent?[[Answer next time.]

The theremin. It plays without even being touched.

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I seem to have completely missed this thread!

I'll attach something that might keep you away from the piano for a while ;). Yes, you can "brute force" your way through it but it is more fun if one think first. Download and run (you need Powerpoint installed).

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has anyone else tried this river quiz? It's impossible! :evil: I think I've tried everything.
Robert - can it be solved?

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