The Art in Mathematics: God’s Signature in Numbers
- Karel Janeček
- 2 days ago
- 3 min read
Lecturing at Carnegie Mellon University 21 years after graduating was a great honour and pleasure for me. On the first evening, I gave a Bearg lecture on the D21 electoral system. My second lecture was titled The Art in Mathematics – God's Signature in Numbers. Using simple calculations and observations, I present "statistical evidence" that our existence cannot be the result of random evolution. I approached the presentation in such a way as to convince even the greatest sceptic, which I myself was 21 years ago.
From Narrow to Expanded Rationality

I have loved numbers and mathematics since I was three years old. Mathematics is beautiful and fair, and it is the language of our logical thinking. Since childhood, I have believed in what can be calculated and logically proven, i.e., logical causality. At the same time, I sincerely believed that our materialistic world had arisen through random evolution. The fundamental reason for this belief was the fact that even an event with an arbitrarily small probability must occur if we have an infinite (unlimited) number of attempts.
I call the logical thinking that stems from this assumption of materialistic philosophy, narrow rationality. It is the basis of scientific thinking and argumentation—for this reason, it is essential and valuable.
However, at around 33, I began to observe phenomena beyond the scope of widely accepted physics. Events that involved strange synchronicities that were difficult to explain by chance.
Given my education and training in probabilistic and statistical thinking, I was able to perform my own statistical tests and analyses. And the results literally shocked me. I experienced a "breakdown of my life paradigm" when I realised that reality is entirely different from what I had unconditionally believed until then. The evidence shattered my idea that everything is purely random.
Since then, I have been talking about extended rationality, which I now define as thinking that is entirely rational from the point of view of mathematical logic and meaningfulness, but which admits that what we see and can verify through rigorous measurement and analysis is only part of reality.
“From purely scientific rationality I shifted toward expanded rationality—a way of thinking that accepts the possibility that what we see may not be everything.”
The Beauty and Symbolism of Numbers

Based on this shocking discovery, I turned my attention to numbers and their potential deeper meaning. Numbers have fascinated me since I was a child, so I wanted to find out whether there was more depth to them than mere rationality.
First, I looked at the uniqueness of the number 12. It appears in geometry, natural cycles, and ancient philosophical systems. According to Plato, the dodecahedron represents ether, an element that connects the material and spiritual worlds.
As I continued working with this number, everything increasingly pointed to 21. So much so that during my lecture at Colours of Ostrava in 2016, I publicly declared that 21 is "the number of our Universe" and that together with the number 12, these two form a unique, interconnected pair. A few years later, I came across Sheldon's theorem, which shows that the number 21 and its mirror image 12 form an unexpectedly interconnected pair: 21 is a prime number of 73, whose inverse 37 is a prime number of 12, and the product of the digits 7 and 3 returns to the number 21. But that's not all.
This Is Only a Small Part of the Story

I subsequently discovered other fascinating mysteries related to the number 21 and the newly found prime number 271. In my lecture, I show how these numerical connections are unexpectedly linked, for example, to Nikola Tesla's numerical philosophy.
If you are interested in learning more, you can watch the entire recording of my lecture at Carnegie Mellon University: The Art in Mathematics – God's Signature in Numbers. To understand it, all you need to know is how to multiply :).




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