While DeepSeek-R1 has significantly advanced AI’s capabilities in informal reasoning, formal mathematical reasoning has ...

In 1900, at the grand amphitheater of the Sorbonne in Paris, David Hilbert stood before a crowd of mathematicians and ...

La Géométrie, a short appendix that appeared in Descartes’ famous Discourse on the Method, laid the foundations of analytic ...

We need something more robust and sophisticated than testing. We need mathematical proof. Testing is akin to checking each link in a chain to make sure they’re strong. This may work well for a ...

Princeton Engineering Innovation Research Grants support bold new ideas tackling critical problems like antibiotic resistance ...

In a new book, the mathematical epidemiologist Adam Kucharski explains how certainty, even in math, can be an illusion.

Gravity may not be a fundamental force of nature, but a byproduct of the universe streamlining information like a cosmic ...

A trio of Chinese scientists have proven that dimension 126 does host strangely twisted shapes, putting an end to six-decade-old mystery.

For two millennia, mathematicians have shown the Pythagorean theorem to be true through geometry and algebra, never ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial ...

In software engineering, it is important to ensure that a software system behaves correctly and reliably. This is especially ...