Discrete mathematics gets easier when you know how to approach proofs. Direct reasoning, induction, and contradiction each have specific steps that can be learned and practiced. Pairing these methods ...

GPT-5.4 Pro cracked a conjecture in number theory that had stumped generations of mathematicians, using a proof strategy that ...

Ultrafinitism, a philosophy that rejects the infinite, has long been dismissed as mathematical heresy. But it is also ...

For Wiles’s proof, you have to leave the algebra you know from school and enter more branched mathematical areas. In fact, ...

A 23-year-old amateur solved open Erdős problem #1196 with a prompt to GPT-5.4 Pro – mathematicians see a new quality in this ...

It’s not often a math paper goes viral, but a new preprint from a theoretical physicist at Poland’s Jagiellonian University ...

The very prospect of the quantum apocalypse has driven various stakeholders to consider what that could be like and how to ...

Is your data safe? Ritika Chakraborty investigates the principles of quantum computing, cybercrime and whether we should be ...

Performances in N.Y.C. Advertisement Supported by The actress stars as a haunted genius opposite Don Cheadle as her father in David Auburn’s 2001 drama. This revival, though, exposes the play’s lack ...

Zermelo-Fraenkel set theory is so widely accepted that modern mathematicians hardly think about it. But believing in its core ...

It’s the same math that explains how, under the right conditions, the atmosphere above a barren plain can produce a roiling ...

The cosmological constant is the mathematical description of the energy that drives the ever-accelerating expansion of the ...