Mathematics
A Computability Proof of Gödel’s First Incompleteness Theorem
A computability proof of Gödel’s incompleteness theorem equally as strong as Gödel’s version, but much easier to deduce
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Computer Science
Neural Quine: Is Self-Replicating AI Real?
A story on reproduction in biology, machines, and AI
Mathematics
The Envy-Free Cake-Cutting Procedure
How to Ensure Fairness as a Mechanistic Outcome. Implications for policy?
Mathematics
The Brilliance of the Yoneda Lemma
A beautiful revolution of the concept of “space”
Computer Science
What is Machine Learning, actually?
A simple, intuitive guide to artificial intelligence
Optics
Cones to Pixels
The Mathematics of Modern Digital Colors
Mathematics
How to Count Cards
An Homage & Walk-Through Of The Infamous Hi-Lo System
Poincaré
Henri’s Adventures in Phase Space
An Intuitive Approach to Topics in Dynamical Systems
Mathematics
The Unparalleled Genius of John von Neumann
Known now as “the last representative of the great mathematicians”, von Neumann’s genius was legendary even in his own lifetime. The sheer breadth of stories and anecdotes about his brilliance, from Nobel Prize-winning physicists to world-class mathematicians abound.
Physics
Einstein’s Theory of Relativity
Explained as simply as possible, but no simpler.
Graph Theory
Dijkstra’s Shortest Path Algorithm in Python
From GPS navigation to network-layer link-state routing, Dijkstra’s Algorithm powers some of the most taken-for-granted modern services…
Mathematics
How to Lose Weight, Mathematically
The Harris-Benedict Equation