Definition: Number theory is a branch of pure mathematics devoted to the study of the natural numbers and the integers. It is the study of the set of positive whole numbers which are usually called ...

We proved that all the usual things are equivalent to the axiom of choice: Zorn’s lemma, the well ordering principle, cardinal comparability (given two sets, one must inject into the other), and the ...

A new theory that explains how light and matter interact at the quantum level has enabled researchers to define for the first ...

Previously: Part 5. Next: Part 7. A category theorist might imagine that a chapter with this title would be about constructing colimits, and they’d be half right.

Perhaps there’s no better guide for understanding America’s MAGA moment than the founder of modern psychology himself.

Research: set-theoretic topology, selection principles, covering properties, covering dimension. Research: set theory, set-theoretic topology, selection principles, game theory, and combinatorics.

Over sixty years after the assassination of President John F Kennedy, research continues to raise doubts over the official ...

Scholars say it is time to shed Cold War concepts imported from the West and develop distinctly Chinese nuclear strategy ...

Indian professionals are embracing the "October Theory," using the year's final months for career reflection and planning.

The character-driven story of One Piece could potentially have a momentous emotional death of a Straw Hat Pirate, but it's ...

One mathematician has helped to prove both one of these and another problem just this year.

For other uses, see Chaos theory (disambiguation). Sensitivity to initial conditions means that each point in a chaotic system is arbitrarily closely approximated by other points that have ...