The world is a sample.
Every event you witness is a single draw from a deeper, unseen urn. To take it as the truth is to mistake a footprint for the animal. We try to reconstruct the animal.
FIG. 001
p(x) = 1/√(2πσ²) · e^(−(x−μ)²/2σ²)
A study in probability, chance, and the shape of uncertainty.
Hwaglyul is a slow journal investigating the mathematics of what might be. We publish essays, simulations, and visual experiments that treat probability not as a tool, but as a way of seeing.
0.0000
σ within one
0.0000
σ within two
0.0000
σ within three
0.0000
total mass
01 / Manifesto
We do not predict. We listen to the distribution.
Certainty is a kind of poverty.
A confident belief carries no information. We celebrate the wide posterior, the long tail, the answer that arrives wearing an error bar.
Coincidence is undercounted.
Most of the world's strangeness is the predictable arithmetic of large numbers, mistaken for fate. We count what you didn't think to count.
Models are short stories.
A good model, like a good story, is wrong in interesting ways. It survives because it earns its assumptions, not because it gets the ending right.
02 / Distributions
A small museum of shapes the world arrives in.
03 / Archive
Recent essays from the journal.
-
№ 014
2026 · 04 · 22
The Birthday Paradox at Scale
→ -
№ 013
2026 · 03 · 30
A Very Short Defence of the Prior
→ -
№ 012
2026 · 03 · 08
Why the Cauchy Has No Mean (and Why That Matters)
→ -
№ 011
2026 · 02 · 17
Random Walks in Cities, Markets, Memory
→ -
№ 010
2026 · 01 · 29
Coincidence Considered as a Law
→ -
№ 009
2025 · 12 · 12
On the Quiet Tyranny of the Average
→
04 / Oracle
Ask a small probabilistic question.
posterior →
P(meaningful) = 0.62 ± 0.11
Press a question. Each press redraws a posterior from a Beta(α, β) you haven't seen.
Sent quietly · once a fortnight
A short letter on probability, sent the moment a draft is finished.
No tracking. No second emails. Unsubscribe in one click.