Thursday, December 29, 2016

December 29, 2016 Thursday

Bedtime Story 


The Super Oxford Dictionary Analogy


Before we deal with Banach Tarski theorem, let me give an analogy (to the mathematical sphere) that originally came from the mathematician and writer Ian Stewart.

It will require a little imagination, a very little.

Let us consider a theoretical Oxford dictionary that has all the possible combinations of all 26 letters so that it will even have “words” that do not make any sense such as aa, aaaa, aaab, bbbb, zzzz and so on.

We can call it the super-Oxford dictionary.

It is will something like this:

A, AA, AAA, AAAA, AAAAA, AAAAA…

AB, AAB, AAAB, AAAAB, AAAAAB…

BA, BAA, BAAA, BAAAA, BAAAAA…

B, BB, BBB, BBBB, BBBBB, BBBBB…

AC, ACA, ACAA, ACAAA, ACAAAA…

AZ, AZA, AZAA, AZAAAZ…

Z, ZA, ZAA, ZAAA, ZAAAA…

Z, ZZ, ZZZ, ZZZZ, ZZZZZ…

Of course, it will also have words like words, noun, verb, animal and so on as is found in most typical dictionaries.

It is also bound to have such absurd combinations like swordverb, nountail and so on since it is supposed to have all possible combinations of letters.

It is a humongous and a massive super-dictionary with every possible combination of letters in it. 

Now you know what I mean.

Now look at this set of letters very carefully for what I am going to propose next will stun you.

For the magic, you will have to wait.

Stay tuned to the voice of an average story storytelling chimpanzee or login at http://panarrans.blogspot.in/
                              
Good night mon ami and my fellow cousin ape.
         
Another great educator and a teacher that I am aware of is Professor Subhashish Chattopadhyay in Bangalore, India.

While I narrate stories, Professor Subhashish an electronic engineer and a former professor at BARC, does and teaches real mathematics and physics.

He started the participation of Indian students at the International Physics Olympiad.

Do visit him here:


All his books can be downloaded for free through this link:


For edutainment and English education of your children, I recommend this large collection of Halloween Songs for Kids:

https://www.youtube.com/channel/UCd14DRdYKj454znayUIfcAg

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