January 23, 2017 Monday
Bedtime Story
John von Neumann's Universe
Von Neumann’s universe is built in different stages where stage 0
lacks any set.
Then subsequently, at each stage a set is added to the universe
where all of the elements have been added of the pervious stages.
In this case, whereas the stage 0 has no set, the stage 1 has also
the set containing the empty set.
This goes on and such a collection is denoted by V.
There is a graphical representation of the first five on the von
Neumann stages starting from V0 to V4.
The increase is beyond exponential.
The set V5 ends up containing 216 elements
which is equal to 65536 elements.
The set V6 contains 265536 elements.
This number by far exceeds the number of atoms in our universe, at
least the universe that we know of!
The cumulative hierarchy after stage 5 becomes nearly impossible
to communicate.
The integrity of this von Neumann’s universe depends upon the
integrity of the ordinality of the natural numbers, meaning in the unique way
the natural numbers are ordered in precise incremental succession.
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.
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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:
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