Friday, October 07, 2016

"shall a man leave his father and mother" - A Lesson of Prime Numbers

Tokyo

   A Lesson of Prime Numbers

There is something that cannot be foreseen but will surely happen in this world.

From a classical point of view, if one can get all the past information related to a system, he can predict future states of the system.  However, in modern physics, this belief is not sustained.  There is the law of probability in deciding occurrence of events.  So, we can only predict the future under conditions based on probability.

However, there is another way of denying determinism.

It is related to prime numbers.  When and what prime number will appear in the series of numbers (integers) cannot be predicted based on information of all the numbers preceding to the prime number.  To check if a new number is a prime number, you have to make some calculation; you cannot identify a prime number just by referring to all the numbers that precede it.

For example, if you know all the numbers from 1 to 10, such information cannot predict that 11 is a prime number.  If you know all the numbers from 1 to 100, such knowledge does not help you predict that 101 is a prime number.

In the series of integers, prime numbers suddenly appear without an omen; there are no formulas and rules that tell how prime numbers are distributed in the series of integers.

So, life may be liken to the series of integers.  People live every day, while accumulating past knowledge.  But suddenly one day they meet a situation where past knowledge is not useful to understand it.  It is a primary-number situation.

But as God created this universe and world, He also created the infinite sequence of integers.  God knows where and what prime numbers are situated in the sequence.  Accordingly, God only knows what events will appear in life of people.

In this context the mankind cannot be a ruler of the universe.  We have to be humble, because we are subject to God's wisdom that created all the prime numbers we cannot know in principle and in a practical sense.



f:id:Hyperion64:20120328103301g:image
http://d.hatena.ne.jp/Hyperion64/20120328/p1

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Mar 10:7 For this cause shall a man leave his father and mother, and cleave to his wife;