OpenAI's GPT-5.2 Pro has solved multiple decades-old Erdős math problems, but Fields Medalist Terence Tao says the wins ...

The world today is marked by paradox. Never before has humanity possessed such extraordinary scientific knowledge, ...

ABSTRACT: This extensive research paper provides a thorough investigation of the algebraic structure of complex products in groups, with comprehensive analysis of both commutative and non-commutative ...

For the past several years, America has been using its young people as lab rats in a sweeping, if not exactly thought-out, education experiment. Schools across the country have been lowering standards ...

Version of company’s Gemini 2.5 AI model solved complex real-world problem that stumped human programmers Google DeepMind claims it has made a “historic” artificial intelligence breakthrough akin to ...

Some AI prompts result in 50 times more carbon emissions than others, according to a new study. The findings suggest that large language models (LLMs)—the technology behind advanced chatbots and ...

Michael Schaffer is a senior editor and columnist at POLITICO Magazine. He has covered national and local politics for over 20 years and spent seven years as editor-in-chief of the Washingtonian. His ...

ALGEBRAIC geometry, in spite of its beauty and importance, has long been reproached for lacking proper foundations. Great discoveries have been made, especially in Italy, by the intuition of a number ...

Governments spend drastically too much money, especially from the perspective of long-term bond investors. Yet, most folks browsing mortgage rates don’t much ponder fiscal calamity. Federal debt risk ...