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PostPosted: Mon Dec 31, 2007 1:02 pm 
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I AM a mathematician!

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PostPosted: Mon Dec 31, 2007 9:09 pm 
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It's a good thing if you can laugh at your own profession. Or is it?

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Joufa, yes it is, or rather was, my profession. I also love your banana joke!
Raymond


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The following story is true: The great nineteenth century mathematician Felix Klein was once at a party in which people were discussing the correlation between mathematics and music--both interests and aptitudes. Klein looked more and more puzzled, and finally said :
"But I don’t understand, gentlemen, mathematics is beautiful" !

(um...another one that went over my head :oops:)

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The implication is thar he evidently did not realize that misic is also beatiful !
Raymond


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Ohhhhhhh. Thanks, Ray. :lol:

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Here is a riddle for you: A little girl said to her mother: " Let's go to the railroad station and meet Daddy, and the four of us will come home to dinner." The question is: why did she say FOUR instead of THREE? [I'll give you the answer in the next entry.]

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pianolady wrote:
Here is a riddle for you: A little girl said to her mother: " Let's go to the railroad station and meet Daddy, and the four of us will come home to dinner." The question is: why did she say FOUR instead of THREE? [I'll give you the answer in the next entry.]

Because her little brother was coming along too, as is only common sense.

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The answer to yesterday's riddle is that she was too young to count.

Quote:
Because her little brother was coming along too, as is only common sense.

Ok - two answers. :)



NEW QUESTION:

There are three errers in this messege-- can you find them all ? [I'll give the answer in the next entry.]

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pianolady wrote:
There are three errers in this messege-- can you find them all ? [I'll give the answer in the next entry.]

Two are speling erors - errers and messege.
The third is the word "three" which should be "two".

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Wow - that was fast! You get the blue ribbon today.

(there is a little more about this question coming tomorrow)

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One more thought on yesterday's quiz. The answer again is:

First, the word ERRERS was mis-spelled. Secondly, the word MESSEGE was mis -spelled. Thirdly, there were only two errors, not three, hence the word THREE should have been TWO .

But doesn't this raise a paradox? If the word THREE was an error, then there were really three errors after all, which makes the word THREE correct! So was that word an error or wasn't it? I don't know the answer to this!


NEW TODAY

The last entry calls to mind how I (Raymond Smullyan) got interested in logic: It happened when I was six years old. I was in bed with a cold, or something, on April 1, my brother Emile--10 years older than me-- came to my bedside in the morning and said : " Today I am going to fool you like you have never been fooled before! " And so I waited all day long for him to fool me, but he didn't! When bed time came, my mother and brother came into my room and my mother asked me why I didn't go to sleep. I said : " I'm waiting for Emile to fool me." My mother turned to him and said : " Why don't you fool the child?" The following conversation then ensued:

Emile--You expected me to fool you, didn't you?
Raymond--Yes.
Emile-- But I didn't, did I?
Raymond--No.
Emile-- But you expected me to.
Raymond--Yes.
Emile--So I fooled you, didn't I?

Well, I lay in bed for quite a while wondering whether I was really fooled or not! The problem is this: If I was fooled, then I DID get what I expected, in which case, in what sense was I fooled? On the other hand, if I was not fooled, then I didn't get what I expected, which means that I was fooled! And so either way you get a contradiction!

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pianolady wrote:
First, the word ERRERS was mis-spelled. Secondly, the word MESSEGE was mis -spelled. Thirdly, there were only two errors, not three, hence the word THREE should have been TWO .

But doesn't this raise a paradox? If the word THREE was an error, then there were really three errors after all, which makes the word THREE correct! So was that word an error or wasn't it? I don't know the answer to this!

Nice paradox. I did not quite see it when posting the 'solution', but I did smell something was 'wrong' here. The trick played on us is that different kinds of errors are mixed up. There are things that are always wrong, like spelling errors, and things that can be wrong or right depending on the context. By mixing them without defining the error context you can probably create an endless variety of paradoxes.

But everything I say is a lie anyway... which is of course not true now. Or is it ? :lol:

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Don't read this sentence. :P

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pianolady wrote:
Don't read this sentence. :P

I didn't 8)

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 Post subject: Is it moving?
PostPosted: Fri Jan 04, 2008 12:13 pm 
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Oh yeah? Take this!

Image

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PostPosted: Fri Jan 04, 2008 5:33 pm 
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techneut wrote:
pianolady wrote:
Don't read this sentence. :P

I didn't 8)


Does reading backwards count as reading? Hmmmm.... :idea:

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PostPosted: Sat Jan 05, 2008 9:45 am 
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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.

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He's a female barber. Hmm ... transsexual then?

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Or, he went to his brother's house in a different town and then shaved himself. :?: :?:

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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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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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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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The barber is a child! :D

Pete


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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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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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techneut wrote:
Bit of an anticlimax isn't it !


That's what she said! :wink:

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juufa72 wrote:
That's what she said! :wink:

Why, did you fail again ? :P

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Yea, English women aren't that exciting :lol: :wink: 8)

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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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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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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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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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--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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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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That works for me. 8)

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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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:x That's the English language at its finest!

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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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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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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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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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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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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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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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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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*wiping drool off chin* My brain hurts. :roll:

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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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