Learn an idea step by step, follow its connections, try a simulation, or explore the data behind the writing.
Choose a question and follow the steps in order. Each path is a short introduction to a larger series.
Understand why an average return can hide a losing strategy.
Before you start: Basic algebra and percentages; no finance background needed.
Follow the connection from type checking to writing a proof in Lean.
Before you start: Some programming experience; start with the foundational tier of the type systems guide.
See how repeating a rule can create stability, cycles, or chaos.
Before you start: Functions and graphs; calculus helps with the mathematical details.
The same ideas keep coming back in different places. Each node is an idea; two ideas are joined when the same pieces use both. Pick one to see where it appears.
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The interactive models from the essays, to change the assumptions and see what happens. They are models, not measurements: each one generates its own data and none of them reads a market.
Systems where an event makes the next event more likely: sandpile avalanches, the branching ratio, self-exciting Hawkes events, herding on an Ising lattice, reflexive feedback, volatility clustering, risk models creating risk, leverage cascades, and inelastic markets.
What iteration does: contraction to a fixed point, cobweb diagrams, losing stability, the logistic map, Feigenbaum's constant, the tent map, the Cantor set, the Waddington landscape, the Gauss map and continued fractions, small divisors, recursive data types, the diagonal argument, and Lawvere's fixed-point theorem.
What you can and cannot know from data: recognizing power-law tails, when sample averaging stops converging, time versus ensemble averages and ergodicity, the Hill tail-index estimator, critical slowing down, and faster-than-exponential LPPLS bubble shape.
Datasets assembled for the writing and published openly. Each page pins a specific commit, so what you cite and what you download are the same bytes, and states where every series came from and under whose terms.
Exchange rates, precious metals, interest rates, commodity prices, inflation, GDP, real wages and sovereign debt, from 1 CE to 2026, assembled from 26 sources into one reproducible build.