You can’t always solve a mathematical problem by reducing it to something you’ve already solved. Sometimes, you need to rethink and reform the original statements. Prof. Justin Moore, mathematics, ...

Probability theory has long provided a rigorous framework for quantifying uncertainty, yet its extension to infinite sets introduces profound conceptual challenges and opportunities. Contemporary ...

The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...