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Puzzles, Jokes, Anecdotes, and Thoughts

Discussion in 'General' started by pianolady, Dec 14, 2007.

  1. pianolady

    pianolady Monica Hart, Administrator Staff Member Piano Society Artist Trusted Member

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

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

    pianolady Monica Hart, Administrator Staff Member Piano Society Artist Trusted Member

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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!
     
  3. techneut

    techneut Active Member Piano Society Artist Trusted Member

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    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:
     
  4. pianolady

    pianolady Monica Hart, Administrator Staff Member Piano Society Artist Trusted Member

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    Don't read this sentence. :p
     
  5. techneut

    techneut Active Member Piano Society Artist Trusted Member

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    I didn't 8)
     
  6. pianolady

    pianolady Monica Hart, Administrator Staff Member Piano Society Artist Trusted Member

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    Is it moving?

    Oh yeah? Take this!

    [​IMG]
     
  7. juufa72

    juufa72 New Member Piano Society Artist

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

    pianolady Monica Hart, Administrator Staff Member Piano Society Artist Trusted Member

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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.
     
  9. nathanscoleman

    nathanscoleman New Member Piano Society Artist

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

    pianolady Monica Hart, Administrator Staff Member Piano Society Artist Trusted Member

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

    rsmullyan New Member Piano Society Artist

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    Nathan, I specifically said that he was a male barber.

    Monica, your alternative solution is really brilliant!!

    Raymond
     
  12. PJF

    PJF New Member Piano Society Artist

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    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:
     
  13. juufa72

    juufa72 New Member Piano Society Artist

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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!
     
  14. PJF

    PJF New Member Piano Society Artist

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    The barber is a child! :D

    Pete
     
  15. pianolady

    pianolady Monica Hart, Administrator Staff Member Piano Society Artist Trusted Member

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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.
     
  16. techneut

    techneut Active Member Piano Society Artist Trusted Member

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    Ah... the medieaval approach. If something creates controversy or paradox, deny its existence :)
    Bit of an anticlimax isn't it !
     
  17. juufa72

    juufa72 New Member Piano Society Artist

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    That's what she said! :wink:
     
  18. techneut

    techneut Active Member Piano Society Artist Trusted Member

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    Why, did you fail again ? :p
     
  19. juufa72

    juufa72 New Member Piano Society Artist

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

    pianolady Monica Hart, Administrator Staff Member Piano Society Artist Trusted Member

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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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