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A Cretan says that he always lies. Is he then lying? Is that statement true or false?
Why do I care! If I ever meet a Cretan, it would be nice to know what to expect from him. False: Then Cretan does not always lie. (only sometimes or even never!) True: Then Cretan always lies and is lying now. If he always lies, than admitting that he always lies would be telling the truth which makes previous statement false, which means that he lied when he said that he always lies, he does it only sometimes.
Hmm, I tried to create a paradox here and have failed. Let me reformulate the initial question:
If a Cretan sais that he either always tells the truth or always lies, and nothing in between is possible, is he then lying, or is he telling the truth? Is his statement true or false, or do I get a paradox?
its false because if he is always lying then he is lying now and then he isnt always lying so in the end he isnt always lying, if he doesnt lie about this then he also always doesnt lie.