Last week, a 23-year-old amateur with no advanced mathematical training did something many mathematicians never manage in a ...

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

In thermodynamics, an "adiabatic process" is a system change that transfers no heat in or out of the system. Any and all ...

Researchers have mathematically proven that perfect alignment between AI systems and human values is impossible, citing Gödel’s incompleteness theorems and Turing’s halting problem. Instead of ...

A team of scientists has mathematically proven that perfect alignment between artificial intelligence systems and human goals ...

Solana co-founder Anatoly Yakovenko warns AI may break post-quantum cryptography signature schemes, urging 2/3 multi-sig wallet support or native PDA-level protection.

GPS navigation, cryptography, quantum computing - while some of humankind's greatest advancements have been invented by ...

Diophantus of Alexandria revolutionized algebra with Arithmetica, pioneering symbolic notation and abstract number theory.

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

In a remarkable shift, Terence Tao highlights AI's potential to transform mathematical research and collaboration, moving ...

Transforming a newly discovered software vulnerability into a cyberattack used to take months. Today—as the recent headlines ...

Three Iranian men pressed rehydrated raisins at an artisan distillery just outside New York, thousands of miles from their ...