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Topic: The Liar

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Mega X.exe
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Posts: 6583
Thought: First Koala goes to the Moon
Posted on July 13, 2005 at 18:57:57 [Post link]
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The Liar Paradox is among the simplest of paradoxes. It can be traced back at least as far as Eubulides of Miletus, a fourth-century B.C. Greek philosopher.

Eubulides’ version of the paradox is this: A man says that he is lying; is what he says true or false?

If what the man says is true, then he is lying, in which case what he says is false.

If what the man says is false, then he is not lying, in which case what he says is true.

Either case appears to give rise to a logical contradiction; it cannot be the case either that what the man says is true or that what the man says is false.

The Liar Paradox is sometimes referred to as “Epimenides’ Paradox”, after the sixth-century B.C. Cretan who asserted that all Cretans are liars. The apostle Paul makes reference to Epimenides in Titus 1:12, writing, “It was one of them, their very own prophet who said, ‘Cretans are always liars, vicious brutes, lazy gluttons.’”

Epimenides’ statement alone does not give rise to a paradox. What he says cannot be true, for if Cretans are always liars, and he is a Cretan, then he must be lying, in which case his statement is false. His statement could be false however; it could be that Epimenides is dishonest but that not all Cretans are liars.

Paul, though, excludes this dissolution of the paradox, proceeding to say in the following verse, “This testimony is true.”


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AimMan v2.5
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Posts: 2420
Thought: Feeling stressed...
Posted on July 13, 2005 at 19:04:19 [Post link]
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Yeah, I guess this one must be a paradox. i can't really think of any other way to define it. But, heh, you remember that episode of Yu-Gi-Oh with the brothers who could actually switch the truthfulness of the situation to fit what they wanted? And a Samurai Jack episode with the worms who were both lying the entire time? I guess a lot of it's pretty confusing, but I guess the answer depends on a lot of variables. However, assuming that the person is only posing the question, and has no other methods of misdirecting the outcome, I guess it really is a paradox.

I can't solve it anyways. Nah, so many paradoxes! It's only 2:00 on July 13th, and I already feel like I'm in school.:lol:


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Mega X.exe
rocket surgery


Posts: 6583
Thought: First Koala goes to the Moon
Posted on July 13, 2005 at 19:07:41 [Post link]
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Muha! Soon IO will be under my control!:devil:

Anyway, wait until I pull out the one that involves God.


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God
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Posted on July 14, 2005 at 5:33:24 [Post link]
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That's why no man ever says "I am lying right now" refrerring to that exact statement :P.


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