A Mathematician with early access to XAI Grok 4.20, found a new Bellman function for one of the problems he had been working ...

“I was curious to establish a baseline for when LLMs are effectively able to solve open math problems compared to where they struggle,” Somani said. The surprise was that, using the latest model, the ...

Abstract: In the world of computing, there exists a wide variety of direct and indirect proof techniques for proving new results and propositions. Among the persisting proof techniques, Mathematical ...

Chinese artificial intelligence company DeepSeek has released a mathematical reasoning model that can identify and correct its own errors. The model beat the best human score in one of the world’s ...

Mathematicians have long relied on a theorem that appears undeniably true, yet every attempt to formally prove it collapses. The contradiction has puzzled researchers for decades, raising questions ...

Computers are extremely good with numbers, but they haven’t gotten many human mathematicians fired. Until recently, they could barely hold their own in high school-level math competitions. But now ...

A mathematical proof has finally debunked the idea that we live in a simulation, according to a group of international researchers. The theory that the universe could be a computer programme has been ...

They used powerful mathematical theorems—including Gödel's incompleteness theorem—to prove that a complete and consistent description of everything requires what they call "non-algorithmic ...

Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...

This commentary is published in coordination with the 2025 Global Security Forum, of which Defense One is a media partner. The AI-powered weapons and systems that the Pentagon is racing to build will ...

Harvard scientist Dr. Willie Soon claims a mathematical formula proves God's existence, sparking debate on the convergence of science and faith. Soon discusses examples like closed spacetime curvature ...