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The following episodes relate to the 'Logics / Reason' Category

Linking Questions: History and Ways of Knowing

In this post I’d like to present a list of questions linking History with the different Ways of Knowing for classroom discussion.

Linking the different Areas of Knowledge (AOK) with different Ways of Knowing (WOK) can be quite challenging at times. I now attempted to link History with Language, Logics, Emotion and Sense Perception.

History and Language:

  • Does the way (the language) that certain historical events are presented in history books influence the way that the reader understands these events?
  • What role does loaded language play when talking about historical events?
  • What role do connotation and denotation play when talking about historical events?
  • How can language introduce bias into historical accounts?
  • How does language help or hinder the interpretation of historical facts?

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What are the four Ways of Knowing (WOKs)?

old arches
In this post, a quick introduction into the four Ways of Knowing (WOK)!

So, you are now sitting in front of your computer reading this very post about the Ways of Knowing. How do you know that? Honestly! How do you know that you are reading this text right now? Is it because someone told you? Of course not. You know it because your senses tell you so. You can read the text with your eyes (vision), you hear the sound of the computer fan humming (hearing), and you feel that you are sitting on a chair (touch).

Philosophers have identified these four ways of knowing: Sense Perception, Language, Emotion/intuition and Logics/Reason. Pick one fact that you know and ask yourself what the sources of this piece of knowledge are. From where do you know it? You will soon discover that it is possible to trace you knowledge back to one of these four Ways of Knowing. Let’s start with a little example: “I know that atoms exist”. How do you know it? Have you ever seen, heard or felt atoms before? I can hardly imagine. Sense perception is therefore an unlikely source. Do you intuitively and emotionally feel their existence? Hopefully not! The most likely source of this knowledge is that someone told, most probably a teacher, you or that you read about them. The source of this knowledge is therefore language. Continue reading »

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What is Logical Positivism?

Office Windows
Logical Positivism was one of the most important schools of philosophy of science in the beginning 20th century. The “Vienna Circle”, a group of scientists, mathematicians and philosophers, contributed greatly in promoting this philosophical view.

When I was younger, in my teens, I started to discover my love for the sciences. I was fascinated by Biology and Physics and I think I must have driven my teachers crazy with my constant request for “proofs” and evidence. I liked science so much that I even included chemical formulas in my literature essays. Instead of saying “The water waves are gently moving in the sunset.” I’d write “Waves made of H2O are gently moving in the solar spectrum.” My English teacher then responded, “Don’t forget about the H2SO4 (sulfuric acid) which is dissolved as well!”. An then I didn’t feel as bad about the bad mark on the test anymore… Now I am teacher myself and occasionally I meet some students who remind me very much of myself. They are constantly confronting me with the words “How do you know that?” – always eager for empirical, scientific evidence. They want to see things before they believe it. They want formulas. They want cause and effect relationships. Without having been aware of it, I myself as well as my students, were followers of a certain philosophical school. We were “Positivists”. Continue reading »

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What is the Title of this Episode?


Office building
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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The Egg of Columbus


Yellow flower
How do you balance an egg on its pointed side without any extra help? Many problems appear easy, once you know how to solve them. Often hidden assumptions prevent us from solving a particular problem, however.

Here in front of me, I’ve got a boiled egg. And the last 10 minutes I’ve been trying to balance the egg on its corner. No. Eggs don’t have corners, of course. I’ve tried to balance the egg on its pointed end. I think I don’t have to tell you that this is an impossible feat, the egg is always rolling over to its side. It’s possible to spin the egg, but after a few seconds the egg will roll again to its side, so this is not a good solution.

This egg balancing problem is not a new problem. It has been around for about 500 years now. Christoper Columbus, remember he was the one who discovered America in 1492, posed the very same problem to several Spanish nobles. And even 500 years ago they could not solve the problem. But Christoper Columbus knew a solution, one which is surprisingly simple. He took the egg and he smashed it on the table. And the egg was standing.
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What is the Age of Enlightenment?


Enlightenment is the courage to use your own brain. Sapre Aude! Dare to Know!

Enlightenment is the courage to use your own brain. It is the courage to think on your own.

  • What do you do if you want to make your lifestyle healthier? You talk to a doctor. He or she will advise you on what food to eat.
  • You have a financial issue? You talk to the bank. They will advise you how to invest your money.
  • Or maybe you have an emotional problem? Go to a psychologist! He/she will fix it.
  • You have problems making a moral or ethical decision? You talk to a religious authority or a philosopher.
  • You have problems settling a disagreement with somebody? What do you do? You talk to a lawyer, of course.
  • You don’t know what to study at university? You ask your parents or your friends. They know it better.
  • You don’t know the answer to question on an exam? You have look at what the person sitting next to you is writing.

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Six Jokes in Seven Minutes


Here is a collection of six (hopefully intelligent) jokes that count to my favorites. I don’t know if you consider them funny or not, in any case they should give you something to think as well.

This time, it is something different! Do you want to listen to a few jokes? Here is a collection of six (hopefully intelligent) jokes that count to my favorites. I don’t know if you consider them funny or not, in any case they should give you something to think as well.


OK, this time I’m going to try out something different, I want to tell you a few jokes. Yes, you heard correctly.

Now there is a small problem to that – I think that these jokes are funny, but maybe you don’t think that they are. Well….. tough luck for me. I any case I can’t year you not laughing, so it is not embarrassing for me if you don’t laugh.
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Of Ghost Traps and Wrist Watches


Vitamin C under the microscope
Ghost traps are very useful devices – they can be used to catch evil spirits. What? You say that this does not make sense because ghosts do not exist? You say that ghosts are a product of our imagination? Well… do you believe in time? Could it not be that time is a product of our imagination as well?

A few years ago I had the opportunity to visit a cultural exhibition. There were all sorts of interesting exhibits, ranging from art work to the local food… and of course there were also rooms filled with religious objects, handicrafts, clothing etc. I also remember the nice photographs of the landscape that were on display. For the purpose of this episode, the country is of no importance. We were a small group of approximately 10 visitors and we had one tour guide for the museum.
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What are Formal Systems?

Pink Flowers
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.
  • Continue reading »

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What are Thought Experiments?


It is not always necessary to conduct real-life experiments to reach a valid scientific conclusion. Thought experiments may in some cases also suffice. In this edition I will illustrate you a thought experiment from physics: In a vacuum, all objects accelerate the same way and they both have the same velocity. Heavy objects will not fall faster. But how can we test this? We do not have a large vacuum chamber to test this. A thought experiment can be useful in this case.

In this edition of TOK-Talk I will explain you what a thought experiment is. Is it always necessary to conduct real-life experimets to reach a valid scientific conclusion? Listen to find out!
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Science may set limits to knowledge, but should not set limits to imagination.

- Bertrand Russell -