Ryandor.com

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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Blog: http://www.sydius.org
Web: http://www.sydius.net

....umm....my head hurts...

Dev

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"So...if crazy people don't know their crazy...does that mean your only sane if your know your crazy?"

Third base!

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-= HellRazor =-
Shattered Sosaria is coming!
http://www.shatteredsosaria.com

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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Blog: http://www.sydius.org
Web: http://www.sydius.net

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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"So...if crazy people don't know their crazy...does that mean your only sane if your know your crazy?"

Your explanation confused me more than your original sentence.

* wanders off to eve while holding his head *

I...... CANT...... TAKE IT ANYORE !

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

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Forget what you know, know what you forget.

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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-= Ho Eyo He Hum =-