

Linking Questions: History and Ways of Knowing



History and Language:

  • How can language introduce bias into historical accounts?

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What are the four Ways of Knowing (WOKs)?

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What is Logical Positivism?

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What is the Title of this Episode?


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A paradox is a self-contradictory or self-referential statement. In this episode we’re going to have a look at several examples.

If I say: “I always lie” – am I then lying, or not? If the sentence “I always lie” is true, then it should not be true, because I always lie. If the sentence is not true, this would translate into “I never lie”, But in this case I lied to you, and we again have a contradiction. This is an example of a paradox. A paradox is a statement which contradicts itself. In this episode I’d like to show you a few other examples of paradoxes. Just for the fun of it.

Once there was a crocodile, which stole a child. The mother talked to the crocodile and the crocodile said that it will return the child to the mother if she answers to a question correctly. If the answer is wrong, then the crocodile would eat the child. The mother agreed. The crocodile now asked the question: “What am I going to do next?”. What should the mother answer? If she says: “You are not going to eat my child.”, then the crocodile would respond: “Wrong answer, I would have eaten the child, and now I’m really going to eat it because your answer was wrong”. What’s going to happen if the mother answered: “You are going to eat my child.”. The question is now: Should the crocodile now eat the child or not? If the answer is correct, then the crocodile promised to return the child. But this would make the answer wrong again. If the crocodile really intended to eat the child, he has to return it, but at the same time can’t do that because then the answer would be wrong again. Continue reading »

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What are Formal Systems?

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Introduced here: the MIU puzzle as an example of a formal system. A formal system is composed of axioms, to which rules of inference are applied to produce theorems to which the rules can be applied again. Confused? Try to MIU puzzle yourself – it’s fun!

The MU Puzzle is an example of a formal system. The objective of the MU Puzzle is to try to reach the string MU starting from MI, using only these four rules:

  • Rule 1: xI ? xIU. If there is an I at the end of the string of letters, then you can add a U. For example if your string is MI then you can change it into MIU. You can only add a U if the last letter is an I.
  • Rule 2: Mx ? Mxx. You can double any string that follows the M. So if your string is MIU then you can double the IU after the M. You will then get MIUIU. We have doubled the IU.
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What are Thought Experiments?



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Why are Simpler Explanations Usually Better?


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The purpose of science is to make things simpler and not more complicated. Scientists strive to discover theories and explanations that simplify the view of our world and not complicate them. According to Wiliam of Ockham (c. 1288 – c. 1347), if there are competing explanations for a phenomenon, the simpler explanation is to be preferred. The simpler explanation is often the correct one. It can be summarized as “With all other things being equal the simpler solution is the better one.” Simpler explanations rely on fewer assumptions which can not be proven or disproven.

In this edition of TOK-Talk I would like to explore the difference between a good and a bad explanation. Why are simpler explanations usually the better ones? Listen to find out! Continue reading »

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- John Naisbitt -
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