Epistemology
The theory of knowledge — what we can know, how we know it, and the limits of understanding. From Plato's forms to modern constructivism.
Relativity
Einstein's framework for understanding space, time, and gravity. Special and general relativity unified mechanics with electromagnetism.
Category Theory
The abstract theory of mathematical structures and relationships between them. Often called "the mathematics of mathematics."
Game Theory
Strategic interaction between rational decision-makers. From Nash equilibrium to evolutionary dynamics in economics and biology.
Theory of Mind
The ability to attribute mental states to others. How we understand that other minds exist and have different perspectives than our own.
Information Theory
Shannon's mathematical framework for quantifying communication. Entropy, redundancy, and the fundamental limits of data compression.