I have written several blog posts on the subject of Everything. I have posted them under the category Philosophy. I talk about Nothing versus Everything versus, about Duality, Trinity, the question ‘Where does Everything come from?’, Time and Space, etc.
In one of those posts I argue that Creativity must be a quality of Everything. Another quality is (Self) Consciousness. Those qualities are inescapable because otherwise (the) Everything wouldn’t be relevant.
Creativity in itself does not make sense. These things only make sense as part of a Trinity. Where Trinity is like a ‘coin’. A coin is made of stuff and has 2 sides. Creativity is the stuff, and the 2 sides are Creator and Creation.
So what about π ?
I quote from Wikipedia:
The number π is a mathematical constant, the ratio of a circle’s circumference to its diameter, commonly approximated as 3.14159. It has been represented by the Greek letter “π” since the mid-18th century, though it is also sometimes spelled out as “pi” (/paɪ/). Being an irrational number, π cannot be expressed exactly as a fraction (equivalently, its decimal representation never ends and never settles into a permanent repeating pattern). Still, fractions such as 22/7 and other rational numbers are commonly used to approximate π. The digits appear to be randomly distributed. In particular, the digit sequence of π is conjectured to satisfy a specific kind of statistical randomness, but to date no proof of this has been discovered. Also, π is a transcendental number – a number that is not the root of any non-zero polynomial having rational coefficients. This transcendence of π implies that it is impossible to solve the ancient challenge of squaring the circle with a compass and straightedge.
I wonder, where does π come from? Who/what decided on the constant of π ? I remember reading Carl Sagan’s novel ‘Contact‘ in the mid 80’s. In that novel, Sagan has a mind boggling passage in which it is discovered that π contains a pattern, a ‘hidden message from the Gods’. Back then all I could think was ‘Wow’, because it was such a mind blowing idea.
But, Sagan’s Contact, is fiction. Not real, mind blowing or not. Yet, the intriguing mathematical constant π kept cropping up in my musings once in a while. Where did the constant come from? A constant is fixed. So what/who fixed it and how? Well, your simple answer could be, ‘God fixed it’. But unfortunately I can not go for that answer. It is too simple and too lazy. It is like saying ‘It is not my problem, God will take care of it’. Sure, but somehow it doesn’t feel right. As said, this way out is simply too easy.
No way out? Yes there is, if you look carefully that is. Because although the definition and the ratio of π are fixed, the number itself, the infinite row of digits, is irrational. And irrational is simply another word for …. Creativity. No matter how many digits of the row we will calculate, the next digit we find (by calculating) is a creative process. Only by calculating we find the next digit. No calculating, no next digit! So we, once again stumble on this ‘Trinity’ namely:
Creator (Calculator) – Creativity – Creation (Next digit)
As π is a center piece of Mathematics, it shows that Mathematics is founded on Creativity