The real paradox is not the one in the story!
It goes: is I say "I always lie" - am i telling the truth or not?
I can't be telling truth because then my phrase is true and I am telling lie.
If I am lying - it can mean two things:
1) I am always speaking the truth - which makes the paradox
2)I sometimes lie - no paradox - so not interesting at all
So let us lend at axiom that people can either tell only lie or only truth and never speak some of one and some of other!
And now who am I when i tell "I always lie" - lier or no lier???
Liar Paradox (Eubulid or Epimenides Paradox)
#182
Posted 16 November 2009 - 12:04 AM
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?
Answer: He couldn't be telling the truth, since he is a Cretan himself. So he lied - all Cretans are not liars, just this one so far!
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.
Answer: We have established that not all Cretans are liars from his last visit. Could the Greeks have met the only Cretan liar?!
If someone says "I always lie", are they telling the truth? Or are they lying?
Answer: They can't be telling the truth. They don't ALWAYS lie, just on this particular occassion!!
Answer: He couldn't be telling the truth, since he is a Cretan himself. So he lied - all Cretans are not liars, just this one so far!
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.
Answer: We have established that not all Cretans are liars from his last visit. Could the Greeks have met the only Cretan liar?!
If someone says "I always lie", are they telling the truth? Or are they lying?
Answer: They can't be telling the truth. They don't ALWAYS lie, just on this particular occassion!!

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