There is a large field in front of me filled with a thousand people. It is only a figment of my imagination and that is very important. Know then, that whatever happens in this space must happen according to the rules I set for this imaginary world of mine. That is our axiom.
Now a field full of people with no definition or description is hardly any fun. And so I define my people. I hereby lay down the rule that each of the aforementioned thousand people is either a ‘truthful person’ or a ‘liar’. A truthful person when asked a question with binary answering options shall always speak the truth. A liar confronted with a similar situation, shall always avoid the truthful answer.
Having thus devised my imaginary world, I now step into the field to delight myself by conducting a test of the system, which by axiom, can only be successful. I pick a child at random. It is a little girl. I ask her, “Are you a truthful person or a liar?” If the little girl is indeed a truthful person, she will reply by saying so, since that is the truth. If on the contrary she is a liar, she will deviate from the truth. She will not, therefore, tell me that she is a liar . The only other option left to her is to say that she is a truthful person. Note then, that there can only be one answer to my question irrespective of the category to which the little girl belongs. And that answer is “I am a truthful person”.
With this knowledge I look at her expectantly, she who is my own creation. The girl stares straight into my eyes, replies, “I am a liar.” And I am thrown forever into a world of delirious make-belief...