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 ...

Infinity used to be the place where mathematics ran out of road, a hazy horizon rather than a mapped landscape. Now a pair of new, exotic infinities is forcing researchers to redraw that map and ...