MATH 79SI: “Proof Positive: Principles of Mathematics” is a new student-initiated class that introduces students to basic mathematical proof-writing techniques. The one-unit class is designed to serve ...

The process of proofs and refutations described by Lakatos is essential in school mathematics to provide students with an opportunity to experience how mathematical knowledge develops dynamically ...

As he was brushing his teeth on the morning of July 17, 2014, Thomas Royen, a little-known retired German statistician, suddenly lit upon the proof of a famous conjecture at the intersection of ...

A new computer program fashioned after artificial intelligence systems like AlphaGo has solved several open problems in combinatorics and graph theory. “I was very happy to have the question answered.

In his article on mathematical proofs, Marcus du Sautoy raises the issue of the acceptability to mathematicians of computer-assisted proofs: “the possibility remains that a glitch is hiding ...

For those whose mathematical training extended not far past 2 + 2 = 4, math can seem like a dry, precise field, punctuated by absolutes. But the deeper you go into mathematics, the fuzzier and more ...

The longest math proof in the world has just been completed. It began in the 1970s and was worked on by 100 mathematicians. Take a look at the math equivalent of endurance running. The Rolf Schock ...

Despite multiple conferences dedicated to explicating Mochizuki’s proof, number theorists have struggled to come to grips with its underlying ideas. His series of papers, which total more than 500 ...

You think writing proofs for algebra during high school was hard? Think again. A trio of brilliant mathematicians just solved a decade-old puzzle and consequently produced the world's largest ...