
Language Unchained
A Markov chain is a mathematical model that describes a system that changes over time. The system is made up of a set of states, and the probability of moving from one state to another depends only on the current state of the system.

Address of Infinity
“Hilbert introduced the Hilbert Hotel paradox in a 1924 lecture. The tale of Hilbert’s Hotel was a profoundly creative way of exploring the concept of infinity in that era. It challenged the minds of mathematicians and laymen alike, and showed them that infinity was not just a number, but a neverending story waiting to be…

Singularities
“There are even bigger problems within mathematics and its relationship with reality. The vast majority of modern physics is now based on mathematical models. But when neither light, nor atoms, can escape a black box in reality, how do we take a look?”

Unlocking the Secrets of Prime Numbers: An Introduction to Factoring
“For example, to determine if the number 13 is prime, we would need to check if it’s divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12. As you can imagine, this becomes increasingly timeconsuming and complex as the number gets larger.”

About Everything
I once tried to narrate a story about everything. It was challenging. Where does one even start? And where does one even end? Stories have a beginning and an ending. Reality does not. And everything is both plusâ€¦ more.

Complexity
Now imagine the universe as a cup of coffee. When the cream and coffee are separate, it’s simple and organized it’s low entropy. When you mix them together, it’s high entropy and everything is disorganized and mixed together. But it’s in the middle, when swirls of cream are mixing into swirls of coffee, that you…