👉 Learn how to apply induction to prove the sum formula for every term. Proof by induction is a mathematical proof technique ...

VUB's Data Analytics Lab has published new results showing that it is possible to develop original mathematical proofs using commercial language models. In a paper posted to the arXiv preprint server, ...

In 2024, Google DeepMind’s AlphaProof made history by competing in the International Mathematical Olympiad (IMO) — solving problems once thought to require purely human creativity. The Democrats who ...

The verdict, it seems, is in: artificial intelligence is not about to replace mathematicians. That is the immediate takeaway from the “First Proof” challenge—perhaps the most robust test yet of the ...

Justin Pritchard is a seasoned Sudbury, Ontario-based automotive journalist, producer, and technical writer. With a passion for cars and a talent for storytelling, he's established himself as a ...

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 ...

The original version of this story appeared in Quanta Magazine. In 1974, five years before he wrote his Pulitzer Prize–winning book Gödel, Escher, Bach: An Eternal Golden Braid, Douglas Hofstadter was ...

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 ...

Mathematical proof debunks the idea that the universe is a computer simulation by Patty Wellborn, University of British Columbia edited by Gaby Clark, reviewed by Robert Egan Editors' notes The GIST ...

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 ...

While it’s not R2, DeepSeek continues to quietly demonstrate its capabilities with yet another robust model release. It won’t be long before these models are solving problems previously thought ...

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 ...