More than 300 mathematical conjectures placed on the map and in time. What the atlas shows, how it was built, and the limitations of its data.

An atlas of conjectures: where and when open problems are born

How a simple question about whether a set belongs to itself brought down the foundations of mathematics —and how ZFC rebuilt them.

The Abyss of Set Theory: Understanding Russell's Paradox

A conjecture is neither a truth nor a mistake: it's an educated bet about a pattern. How conjectures are formulated, how they're tested, and why they matter to anyone who models data.

Conjectures