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Liar Paradox (Eubulid or Epimenides Paradox)
Posted 10 December 2010 - 01:49 AM
Posted 02 March 2011 - 02:20 AM
Posted 05 March 2011 - 10:54 PM
Posted 08 March 2011 - 12:26 PM
I was kind of shocked to see this when I could figure it out but I seemed to think that there was only one Creatian talking all the time!
This is not a paradox.
So, person A: Everything I say is a lie.
This is a lie, and some of what he says is a lie. In truth, he would be saying this:
Person A (Revised): Some of what I say is a lie.
Apply this concept to what the Cretan said, and you receive the same results. The flaw in this is that it is assumed that a "lie" is the opposite of the truth. However, it is a lie if it is not the truth and a lie is not required to be the opposite of truth.
Posted 19 March 2011 - 08:07 AM
Posted 06 April 2011 - 07:53 PM
If he says the truth, all Cretans are liars, and so he is a liar and he is not saying the truth. Okay, so this is not possible.
If he is telling a lie, all that we know is that not all Cretans are liars, we can't imply that all Cretans are truth-speakers.
A week later, he says that all Cretans are liars, which he have already discovered that isn't true, because he lied, and contradicts him. Because, in the previous week we proved that he was saying lies, so he is a liar, therefore in the second sentence he is lying too because he lies by saying that he is not a liar.
Edited by Lidia Freitas, 06 April 2011 - 07:54 PM.
Posted 16 April 2011 - 11:08 PM
saying "all cretans are liars" only clearly states that all cretans lie. it doesn't mean that they only lie and are incapable of speaking truth.
in the second instance it's harder to believe that he speaks the truth.
he tells them that all cretans are liars but then contradicts himself by saying that all he speaks is truth. Which, i feel, is what caused the greeks confusion. how can one person claim that his race lies but then exclude himself from that generalization.
or you could look at it this way: he believes in both cases that what he speaks stands as a fact and so to him it is truth and he isn't lying. which goes back to the idea that he says "all cretans are liars" meaning that they lie but are also capable of speaking truth.
Posted 20 April 2011 - 10:24 PM
In the second question someone states "I always lie" is still just a statement. Until you establish an axiom, you are wasting your time trying to figure it out.
Posted 23 April 2011 - 06:23 PM
(example:If you say the universe is in chaos, the components are in chaos but the events aren't because it has to follow the laws of science.)
Posted 30 April 2011 - 04:33 PM
Case 1. The man is telling the truth. All Cretons are liars. A liar doesn't lie all the time, just when it suits him/her. Even if they only lie sometimes, they are still liars.
Case 2. The man is lying about always telling the truth. He cant always tell the truth, because all Cretons are liars. This is the perfect example for one of those times when a Creton lies. His lie being that he always tells the truth.
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