continued from post 004 #10
Post 005
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The Qur'aan Mathematical Model
Part One
The Tools of Knowledge
( ِ
The Qur'aan 08901-05
01- And/by the dawn
02- And/by the ten nights
03- And/by the even and the odd
04- And/by the night when it passes away
05- Is in that an adjuration for the one who possesses hijr?
- Why do we use the decimal system? (Part 4)
ALLAAH knew the numbers and He knew that they had all their own specific identities. And of all the numbers that ALLAAH loved most was the numbers called the prime numbers because these were the numbers that could only be divided by themselves and the number called one and which is a representative of himself.
In other words these prime numbers are not like any of the other numbers which are called composite numbers because they are not associated with any other number than the number called one and which represents ALLAAH.
Here is a graphical display of the prime numbers verses the composite numbers.
Have a look at the following information about prime numbers. They are important to the understanding of the Book (al-kitaab) and the Recitation/Reading (al-Qur'aan).
http//www.theholytablemountain.net/PNdes.png
http//www.theholytablemountain.net/P1b.png
http//www.theholytablemountain.net/P2b.png
http//www.theholytablemountain.net/P3b.png
http//www.theholytablemountain.net/P4b.png
http//www.theholytablemountain.net/P5b.png
http//www.theholytablemountain.net/P6b.png
http//www.theholytablemountain.net/P7b.png
http//www.theholytablemountain.net/P8b.png
http//www.theholytablemountain.net/P9b.png
You would have observed that the numbers form three groups.
1- The one 'group' of only one number wherein no other number exists but only the one.
http//www.theholytablemountain.net/P1b.png
2- The group of numbers called prime numbers that can only be divided by itself and one. All these numbers can be presented as a circle surrounding a point or a dot. The only difference is that these circles are further apart as the numbers appear further in the number line. Here are the examples 2 3 5 7.
http//www.theholytablemountain.net/P2b.png
http//www.theholytablemountain.net/P3b.png
http//www.theholytablemountain.net/P5b.png
http//www.theholytablemountain.net/P7b.png
3- The group of numbers called composite numbers that can be divided not only by itself and one but by other numbers as well. These numbers can be presented as concentric circles surrounding a point or a dot. Here are the examples 4 6 8 9.
http//www.theholytablemountain.net/P4b.png
http//www.theholytablemountain.net/P6b.png
http//www.theholytablemountain.net/P8b.png
http//www.theholytablemountain.net/P9b.png
As we go deeper into the number line we will observe that the prime numbers get all less and less. From ten onwards all the numbers that end in a 0 2 4 5 6 and an 8 are all composite numbers i.e. not prime. In other words all the even numbers from ten onwards are composite. That is already 50% of the whole number line. Then also all the odd numbers ending in a five are composite. That is another 10% of all the numbers. From this information we can already see that 60% of all numbers are composite without having to do any calculations to see if they are prime or composite.
There is no known rule to calculate which numbers are prime. They must all be investigated to see if they are prime or not. All numbers greater than ten that ends in a 1 3 7 and a 9 needs to be calculated to see if they are prime or not. Up until today computers have calculated prime numbers with digits many tens of kilometers long and still calculating and recording.
Remember that the main aim of this section of the thread is to answer why we use the decimal system of counting so that we can understand why ALLAAH has presented the Qur'aan in the decimal counting system. Let us continue!
The first single digits (1-9) are exactly 50% prime and 50% composite.
The double digit numbers (1-99) are about 25% prime and 75% composite.
The triple digit numbers (1-999) are about 17% prime and 83% composite.
The quadruple digit numbers (1-9 999) are about 12% prime and 88% composite.
The quintuple digit numbers (1-99 999) are about 9.6% prime and 90.4% composite.
As you will see the prime numbers get less and less and less as one goes further and further into the number line. And they also get further and further apart from each other. The prime numbers get so isolated that one will find one prime number surrounded by hundreds of thousands of billions of numbers with billions of concentric circles. Can you imagine how small and insignificant the primes become in comparison to all the other numbers as one climbs higher and higher into the infinite.
Now our Lord ALLAAH knows all these numbers and he knows all their divisions and all their other properties. And as I already said that of all numbers ALLAAH chose he loved the prime numbers more than all the other numbers. And it is upon them that he laid the fundamental foundations of the world.
Why The Decimal Number Line?
1 = not prime and not composite
12 = composite
123 = composite
1234 = composite
12345 = composite
123456 = composite
1234567 = composite
12345678 = composite
123456789 = composite
1234567891 = effectively prime
There you have it. The number that creates the digits of our decimal system and upon which the Qur'aan is based is effectively a prime number. And it is therefore a number that can only be divided by itself and one.
1 2 3 4 5 6 7 8 9 1
And the digits on either side is the number one which represents ALLAAH and beyond which there is nothing on both sides (zero).
0 1 2 3 4 5 6 7 8 9 1 0
. . . . . . . . . . . .
The marvel is only going to begin. You will see beauty and harmony of numbers that you have never seen in your life before and what no computer was able to explain and put together. I do not ever have to speak to you about the book (al-kitaab) again if you do not want me to. I can simply extract it out of the numbers that will bring forth the whole reality in front of your eyes. But for the sake of my lord and the prime ones I shall be patient.
In posts to follow we shall discuss among others the following.
- Why do we use the decimal system? (answered with further proofs coming)
- Why is the circle divided into 360 degrees?
- Why has the year been divided into twelve months?
Post 6 continues in a post to follow inshaa ALLAAH.
Salaam al-amiyr,
Besides going through your questions and my answers on the Qur'aan Lexicographical Model thread, I went also through this thread about the Qur'aan Mathematical Model. I find your approach to answer why do we use the decimal system and your way to represent geometrically the prime numbers very original and clear.
Thank you for sharing your understandings and knowledge.