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 Post subject: You are confused.
PostPosted: Thu Jun 22, 2006 2:53 pm 
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Peanut Gallery
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Location: Hayward, CA
If this statement is true, then you are confused.

Assuming for a moment that the above statement is true, you must be confused. If such a scenario existed, then both the statement and what the statement states would be true, and that is exactly what the statement states: that if the statement is true, then you are confused; and therefore the statement is true, and you must be confused.

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PostPosted: Thu Jun 22, 2006 4:42 pm 
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Posting Whore
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:shock: ....umm....my head hurts...

Dev

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 Post subject:
PostPosted: Fri Jun 23, 2006 12:32 am 
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Grand Master
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Third base!

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PostPosted: Fri Jun 23, 2006 11:40 am 
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Here is how I understand this little paradox:

Original statement: x = x → y

Do the truth table for this:

x = 0, y = 0 then 0 = 0 → 0 = 1 = not possible (0 = 1).
x = 0, y = 1 then 0 = 0 → 1 = 1 = not possible (0 = 1).
x = 1, y = 0 then 1 = 1 → 0 = 0 = not possible (1 = 0).
x = 1, y = 1 then 1 = 1 → 1 = 1 = possible (1 = 1).

Clearly, the only instance in which the truth of the statement can be decided is if x Λ y = 1.

Now consider:

"If this statement is true, then this statement is false."

Statement: x = x → ?x

x = 0, then 0 = 0 → ?0 = 1 = not possible (0 = 1)
x = 1, then 1 = 1 → ?1 = 0 = not possible (1 = 0)

Here, the truth of x is undecidable in all instances.

The paradox, I believe, stems from the instinct to categorize all information as true or false, even though some information (such as the above) can be both or neither at the same time, and therefore cannot be categorized as either.

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 Post subject:
PostPosted: Fri Jun 23, 2006 5:26 pm 
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Posting Whore
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Truth??? Now we're talking!

Truth is a temporary state of being used to pacify ones fears of the unknown!

Dev

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 Post subject:
PostPosted: Fri Jun 23, 2006 11:17 pm 
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Your explanation confused me more than your original sentence.

* wanders off to eve while holding his head *


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 Post subject:
PostPosted: Sat Jun 24, 2006 12:01 pm 
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I...... CANT...... TAKE IT ANYORE !

*Runs around franticly getting nowhere, and trips over a chair*

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 Post subject:
PostPosted: Sat Jun 24, 2006 5:57 pm 
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Hey look, a woodchuck!
I wonder: How much wood would a woodchuck chuck if a woodchuck could chuck more wood than chuck norris?

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