Tag Archives: primes

Carla Drift – Looking back at my innocence


Before we started the quest for “Who are you”, I told Narrator in a few words about my youth – the years of my innocence.

“There was once a girl that was so clever that everywhere she was an outlier. She surpassed all the knowledge of her environment. This girl was so wise to show this special gift to nobody. Very soon she discovered that this gift completely confused her environment. Now and then she showed a glimpse whereof she thought.

In elementary school children learned to add, multiply and divide. This girl already calculated in the infinite or in the uncountable as she called it. Countable was all that fitted within a box of the “knowable”. Hereby she thought about the matchbox in which she formerly had caught a grasshopper.

[1]

When the class learned to count until ten, the content of the Matchbox was ten for her. For the class innumerable was at that time “ten plus one”. When the class learned to count until one hundred, from then on countable was one hundred; “hundred and one” was innumerable and so on as far as the classmates could count.

The countable and therefore the knowable grew along with the knowledge of the classroom and the innumerable became bigger and bigger. This girl learned that the countable – so the content of the matchbox “L” – changed along the changes of the environment. The uncountable was then still “L+1”. This girl started to add the countable, so when for the class L was equal to ten, the girl decided to place ten matchboxes in a row: for her “10 times L” was equal to one hundred; infinite was then ten matchboxes plus 1. She placed hundred matchboxes in a row and “hundred times 10” or “1000” was countable and infinite was “hundred boxes plus 1”. She did the same with boxes that were getting smaller like Russian dolls. Infinitesimal was one size smaller than the smallest knowable.

[2]

And zero was an empty table without any box or doll. She wrote this as “O”. This was very easy for her.

For simplicity, this girl decided to write the infinite as “L + 1”; This was equal to the largest box plus one or the greatest number of knowable boxes plus 1.

Now this girl was so far that she saw infinitely – or L + 1 – as a matchbox of all knowable plus one. She began in the first class of primary school to calculate with the infinite, which was also an outlier that fell outside the knowable. For infinite the same rules applied, but it the infinite was still outside the knowable of the others: in this way she remained in touch with arithmetic lessons of her classmates. The ordinary multiplication tables were applicable for the infinite and normal division rules applied to the division of the infinite – a piece of cake. Increases the knowable and the infinite is just slightly larger; decrease the smallest knowable and the infinitesimal small is just slightly smaller.

According to her the infinite or L + 1 was the evidence for the existence of God on the Catholic primary school. God could adopt all dimensions depending on the circumstances required, but God himself was larger than the knowable so he remained all encompassing. If the changes increased rapidly, God also increased quickly and vice versa. And because God was all encompassing or L + 1, God took the required form immediately. In this way the girl derived and integrated in the second class of elementary school. The most beautiful thing was that God was no foreigner, he was also an outlier just like her. God made woman and man (as knowable) like his image – also the outliers like her were created like his image. She made the knowable slightly larger because she was an outlier. Later she adjusted her view on God.

In the second class of elementary school she read in a book from the library – that was smuggled through her father – about primes. she decided to look at primes as matchboxes for calculation purposes. According to her new calculation method the core numbers were L, 2L, 3l, 5l, 7l, 11l, 13L, 17L, 19L and so on as primes. With these primes all known matchboxes could be created [3].

In the fourth grade of elementary school she saw in the library at the Department of mathematics a book on Gödel. In this book she read Gödel’s two incompleteness theorems [4]. She borrowed this book via her father. By naming L + 1 she already knew the first incompleteness theorem and with her new calculation method – whereby she used the core numbers L, 2 L, 3 l, 5 l, 7 l, 17 l, 11L, 13L, 19L according to the sequence of primes – she saw immediately the second incompleteness theorem; we can never prove the whole arithmetic L because there will be always a L + 1. This evidence is a piece of cake.

She purposely made a few mistakes in long divisions [5] in order to appear normal.

In the fifth and sixth class of primary school a new schoolmaster let her read the book “Cosmic View, The Universe in 40 Jumps” by Kees Boeke. With her father she studied astronomy and microscopy. She calculated the Kepler orbits on her own. In a course mechanics within theoretical physics [6] at the University of Technology in Delft, she saw these calculations again. One of the two authors was an outlier [7] in the field of mathematics and physics.”

[8]

After this brief description of my years of innocence in elementary school, Narrator and I decided to start the quest “Who are you” together. During the preparations we invited Man Leben – after the death of his second life companion – to go along. He accepted the invitation “With hope and consolation”.


[1] Source image: http://en.wikipedia.org/wiki/Match

[2] Source image: http://fr.wikipedia.org/wiki/Fichier:Floral_matryoshka_set_1.JPG

[3] See also: http://en.wikipedia.org/wiki/Prime_number

[4] See: http://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems

[5] See also: http://en.wikipedia.org/wiki/Long_division

[6] See: http://en.wikipedia.org/wiki/Course_of_Theoretical_Physics

[7] See also: http://en.wikipedia.org/wiki/Lev_Landau

[8] Source image: http://en.wikipedia.org/wiki/Course_of_Theoretical_Physics

Introduction: One – Solipsism


On our Odyssey you and I will encounter three obvious classics. Classics are views and ideas that do not suit anybody (completely), but are still worth studying to progress further. We make in this introduction a short detour along the three classics, “Solipsism”, “The universe is but a dream” and “Pantheism”.

Solipsism[1]

Solipsism knows and recognizes only one single consciousness that completely coincides with the awereness of the observer. In the original form of solipsism, there is no existence outside the consciousness of the observer. On our Odyssey, you and I will encounter many elements and forms of Solipsism.

[2]

At the first stage – described in chapter one – the oneness includes at first sight several features of Solipsism, but the oneness can easily avoid Solipsism, because oneness at this stage will be soon divided in two or more parts, and it may not be excluded that all these parts have a separate consciousness. In addition, one is the recurring initial divider of every prime.

At the second and third stage we will not easily encounter solipsism.

At the fifth stage, each of the five basic realities may easily degenerate into Solipsism, because every reality may regard itself as the only true consciousness within which everything is fully and completely enclosed, e.g.:

  • Only natural science based on facts and logic is true: everything else is a delusion or worse. In this extreme form natural science migrates to religion, and currently religion is not included within the competence of natural science.
  • Only feeling matters. Everything else is a reality from where we should keep ourselves.
  • “Only in the void I can live, elsewhere I never found shelter[3]”. This is a pitfall for zealous practitioners of meditation. As lured by the Sirens [4] these practitioners are attracted into the void putting aside the other realities.
  • Everything changes and only change counts[5].
  • All is fully interconnected: outside this interconnectedness nothing exists. At the last stage on our Odyssey named “Zero – not one, not two” we will see how this manner of Solipsism is surpassed.

At our seventh stage we will encounter elements of Solipsism in all seven entities, e.g.:

  • In the reality of Ishvara[6] – where you and I will meet god, gods and religion – only the reality of the own god, gods or religion is recognised as the existing reality. Other gods and religions are often contested with all possible means. Only the own god/gods and religion is regarded as the sole true reality outside which nothing exists (or is allowed to exist).
  • Only the reality of “here and now” exists. Everything else is unimportant or does not exist.

At the end of our Odyssey on our homecoming at “Zero – not one, not two” we will look back if every manner of solipsism in the seven realities is surpassed.

The next post will cover the second classic “The universe is but a dream”.


[1] See also: http://www.iep.utm.edu/solipsis/

[2] Source of image: http://www.huubmous.nl/2010/02/01/het-solipsisme-van-een-kind/

[3] Free rendering of a verse written by Jan Jacob Slauerhoff  “Only in my poems I may live, elsewhere I never found shelter”.

[4] See also Homerus’ Odyssey.

[5] See also Heraklitus:  “πάντα χωρεῖ καὶ οὐδὲν μένει”” meaning “everything changes and nothing remains untouched”. Source: http://en.wikipedia.org/wiki/Heraclitus

[6] A philosophical concept of God in Hinduism, see also: http://en.wikipedia.org/wiki/Ishvara. In  Sanskrit the word “Ishvara” consists of the noun “ish” meaning “god, ruler” – Wherein the German word “ich” may be recognised –, the noun “va” meaning “wind, ocean, water, stream, going” and the root “ra” meaning “give, influence”. Source: electronic version of the dictionary Monier-Williams – MWDDS V1.5 Beta.

Introduction – 19 stages during our Odyssey


The scope of the search for “who are you” is all comprehensive. You and I cannot fully include this scope in one book. During our quest we will visit infinite stages. Almost all these stages will be excluded from this book. But at 19 special stages we shall describe our findings acquired in the quest for who you are, who you were at the beginning of time before your birth, and who were your ancestors.

The 19 special stages in this book were selected on the basis of the first prime numbers. We choose for primes because this group of numbers is only divisible by one and by itself.

[1]

Sometimes primes are seen as solitary outliers with no obvious connections, for they are not composed of other numbers. You and I find prime numbers absolute prime in itself[2], because all these numbers are complete. Prime numbers are a whole universe in itself. They know no boundaries: they continue into infinity. Also, all other integers can be derives from primes[3]. We stop at prime number seven; otherwise the size of the book will exceed the usual limits. The span of control of most people is limited to seven due to the fact that we have only two hands and ten fingers. With much ingenuity the Mesopotamians were able to count to twelve with one hand using their thumb along the twelve digital bones in their four fingers. By using two hands they could count 12 times 12 until a gross or 144. This twelve-number system is too artificial to our taste for arranging the description of our quest.

Following the prime numbers up to 7, we get the chapter number one, two, three, five and seven.

The description of our quest will end with chapter number zero – a pivotal number – that was discovered rather late. The concept of zero as number is started in India, where only in the 9th century AD practical calculations are performed using zero[4].

This number zero completes the total number of 19 descriptions of special stages.

The next post will cover the contents of the book


[2] See: Enzensberger, Hans Magnus, The Number Devil: A Mathematical Adventure., The third Night