Apple today updated its Final Cut Pro and Logic Pro apps, and there are many new features in both the one-time purchase and Apple Creator Studio versions. Here is what is new in all versions of Final ...

Take the pressure off of problem solving with engaging thinking games that encourage students to work together to find solutions. Like many teachers, I used to think of problem-solving as something I ...

The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...

You’d be surprised how many young people can’t read this. One of its conclusions tells the sad tale. “Between 2020 and 2025, the number of students whose math skills fall below high school level has ...

All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...

Hallucination is fundamental to how transformer-based language models work. In fact, it’s their greatest asset: this is the method by which language models find links between sometimes disparate ...

"We have demonstrated that it is impossible to describe all aspects of physical reality using a computational theory of quantum gravity," says Dr. Faizal. "Therefore, no physically complete and ...

Abstract: The paper is about formalization of Set Theory and Elementary Algebra theorems in mathematics and their proofs in a new programming language called LEAN 4 Theorem Prover. The paper describes ...

Terence Tao, one of the world’s foremost mathematicians, who is often called the “Mozart of Math,” would rather not talk politics. “I do scientific research,” Tao said. “I vote, I sign a petition, but ...

The original version of this story appeared in Quanta Magazine. In 1994, an earthquake of a proof shook up the mathematical world. The mathematician Andrew Wiles had finally settled Fermat’s Last ...

Ananyo Bhattacharya is chief science writer at the London Institute for Mathematical Sciences and the author of The Man from the Future: The Visionary Ideas of John von Neumann. One of the biggest ...

The research suggests that the framework of logical operations and inference patterns remains unfinished even in adulthood. While various logical models exist beyond the classical true-or-false ...