Win A Dollar by Making a Wise Statement

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The discussion revolves around a riddle involving a penny, a dime, and a dollar coin, where participants must make a true statement to win a coin. The key point is the complexity of crafting a statement that is paradoxical or self-referential, leading to confusion about its truth value. Participants explore various statements, such as "I will win neither a penny nor a dime," and analyze their logical implications. The conversation highlights the intricacies of Boolean logic, with some suggesting statements that create contradictions, ultimately leading to humorous conclusions about winning the dollar. The playful nature of the discussion emphasizes the challenge of formulating a statement that guarantees a win while navigating the rules of the game.
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Win A Dollar!

I have a penny, a dime and a dollar (coin)
you are allowed to make 1 statement. if it is true, i will give you A coin. if it is false, you get laughed at and no coin. what do you say to me to get the dollar?
 
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I won't win neither a penny nor a dime... :-)
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wait, but what if your statement is false? then you get nothing... I am not sure that's right...
 
Rogerio said:
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... :-)

Tough Luck Rogerio, however ...
You will win neither a penny nor a dime[/color]
Thwarted by the Boolean grammer police.
 
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T@P said:
wait, but what if your statement is false? then you get nothing... I am not sure that's right...

If my statement is false?
Then I would get nothing...

...and, in this case, are you really sure my statement would be false?

Think a little bit more, and tell me your conclusion...:-)
 
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thanks rogerio, i get it now :)

also BobG, is the "you" supposed to be an "i"? anyway thanks for the post
 
Where can I collect my dollar? :-p
 
you'll get the dollar if (and only if ;) you supply the dollar, dime, and penny first and then make your statement :)
 
Rogerio said:
If my statement is false?
Then I would get nothing...

...and, in this case, are you really sure my statement would be false?

Think a little bit more, and tell me your conclusion...:-)

Looking at it analytically, if you said "I will win neither a penny or a dime", you could express this in the following equation:

\overline {P} + \overline {D}

Changing the word 'will' to 'won't', you get:

\overline{\overline {P} + \overline {D}}

which is equivalent to:

P + D

or the statement "I will win a penny or a dime."

I think what you meant to say is:

"I definitely will be unsuccessful in not being unvictorious in my quest not to win neither a not dime nor a penny knot unless I am not able to not guess incorrectly."

Or something like that if I'm not totally incorrect in my lack of thinking. :confused:
 
  • #10
BobG said:
Looking at it analytically, if you said "I will win neither a penny or a dime", you could express this in the following equation:

\overline {P} + \overline {D}

...

Sorry, but "I won't win neither a penny nor a dime" means
"I won't win a penny" AND "I won't win a dime" . :smile:
 
  • #11
Here is another right answer:

"If this statement is true, you will give me the dollar."

Assume the statement is false. So the precedent is false so the statement is true. So (by contradiction) the statement is not false, so it is true. And since it is true, you will give me the dollar.
 
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  • #12
the answer-

i'll get a dolar or nothing.
 
  • #13
"You will give me neither the penny, no the dime, nor the dollar, nor a million dollars."

If I`m right, you`ll have to give me a coin, contrary to my statement being true. So it has to be false.
That means you will give me one of the coins or a million dollars.
Since you can't give one of the coins for a false statement, you will give me a million dollars.

So cough it up! :!)
 
  • #14
Hehe I like that answer.
 
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