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Liar Paradox (Eubulid or Epimenides Paradox)
Posted 27 May 2011 - 10:54 AM
Posted 03 June 2011 - 03:02 AM
Posted 08 June 2011 - 02:17 PM
Posted 09 June 2011 - 01:39 AM
It can't be true cause it contradicts itself: 'everything I tell you is a lie' and hes telling the truth.
The reason it can be a lie is - If he's lieing about saying 'everything he says is a lie', it doesn't mean that everything he says is the truth. It just means that maybe half the things he says is a lie. So if he only lies about half of things, than saying he lies about everything would be a lie.
Im confusing myself.. hope it made sense lol.
Posted 14 June 2011 - 08:17 PM
in way that you are defender - answer is simple (trivial - that is lay) and not much addition information for you, but for attacker is much more.
on that paradox are based some divide and conquer strategies.
Posted 17 June 2011 - 08:16 AM
Liar Paradox (Eubulid or Epimenides Paradox) - Back to the Paradoxes
This is a well known paradox written by the great stoical logician Chrysippos. The poet, grammarian and critic Philetus of Cos was said to have died of exhaustion attempting to resolve it.
1. A Cretan sails to Greece and says to some Greek men who are standing upon the shore: "All Cretans are liars." Did he speak the truth, or did he lie?
2. A week later, the Cretan sailed to Greece again and said: "All Cretans are liars and all I say is the truth." Although the Greeks on the shore weren't aware of what he had said the first time, they were truly puzzled.
If someone says "I always lie", are they telling the truth? Or are they lying?
Sentence 1 is an obvious paradox. But sentence 2 is not a paradox. My explanation:
Sentence 2 is "All Cretans are liars and all I say is the truth." I contains 2 statements- Statement p= All cretans are liars, statement q= all I say is the truth. Since statement 'p' and 'q' are joined with 'and' co statement 2 is true only if both the statements 'p' and 'q' are true. In all other case it is false.
Statement 'p' Statement 'q' Statement '2'
Here take the case where statement p is true and statement q is false. Since staement q is false so the speaker(cretan) is a liar. statement q is true, which again says cretans are liar. Overall statement 2 is false (since q is false), so it proves that he, a cretan, is a liar.
So I do not find any paradox in that.
Edited by HereICome, 17 June 2011 - 08:18 AM.
Posted 19 June 2011 - 12:06 AM
"But, wait, I was telling the tr– damn."
-Melanie D. Shealy
Posted 21 June 2011 - 11:24 AM
" You told the God that human beings are liars --> Did you speak the truth or did you lie ? "
Posted 25 July 2012 - 08:41 PM
Posted 28 March 2013 - 07:42 PM
He is saying that Cretans are liars. However, he is not saying that they lie all the time. if you lied all the time, you would probably be unemployed/homeless. E.G; your boss: complete this assignment by tomorrow. I f you always lie, than you can either say"no" and get fired or say "yes Sir" and not be able to do it because you lied. And get fired. This is really more of a puzzle then a paradox. You just have to think.
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