Can artificial intelligence allow computers to ensure safe autonomous systems and advance optimization? Two Princeton professors believe it can, and they received a research grant earlier this year to ...

For centuries, the Pythagorean Theorem has occupied a unique position in mathematics: both elementary and profound. Its ...

Proof is a way to show a statement is always true by using worded or algebraic reasoning. Higher tier – There are algebraic ways to describe odd, even and consecutive integers, which are needed for ...

AI now seems to be helping mathematicians produce novel and useful research with regularity. In a significant milestone for ...

In August, a team of mathematicians posted a paper claiming to solve a major problem in algebraic geometry — using entirely alien techniques. It instantly captivated the field, stoking excitement in ...

Non-classical logics, encompassing modal, intuitionistic, fuzzy and other alternative logical systems, have increasingly benefitted from an algebraic treatment that elucidates the underlying structure ...