"All Cretans are liars", said Epimenides, a Cretan. But this means that his statement must be a lie too. But then it is false that Cretans are liars and the statement must be true. So what now?

Some mathematical statements feel undeniably true the moment you hear them. Yet proving them can be impossible. This theorem ...

Lashi Bandara is affiliated with Australian National University. These are questions I’m often confronted with when people discover I do pure mathematics. I always manage to provide an answer but it ...

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 ...

When I tell someone I am a mathematician, one of the most curious common reactions is: “I really liked math class because everything was either right or wrong. There is no ambiguity or doubt.” I ...

This photograph does a pretty good job of "describing" ripples. But a mathematician could do it with greater precision and predictive power. Image credit: andressolo, Flickr, CC BY 2.0 "How is it ...

Large language models still struggle with basic reasoning tasks. Two new papers that apply machine learning to math provide a blueprint for how that could change. The world has learned two things in ...

Logical reasoning is a crucial skill for math success. It helps understand concepts and solve problems. This skill builds strong arguments and reduces errors. It improves problem-solving across ...