Physicists have long treated mass as a basic ingredient of nature, something particles simply possess, even as the Higgs ...

The simulation hypothesis—the idea that our universe might be an artificial construct running on some advanced alien computer ...

Mathematics is one of the oldest disciplines of study. For all its antiquity, however, it is a modern, rapidly growing field. Only 70 years ago, mathematics might have been said to consist of algebra, ...

At the frontiers of theoretical physics, many of the most popular ideas have one thing in common: they begin from a mathematical framework that seeks to explain more things than our currently ...

Emily Riehl thinks hard about objects that don't exist in the material world yet mysteriously seem to underlie many things that do. These objects have no concrete existence of their own, but they do ...

The field of Reverse Mathematics explores the minimal axiomatic frameworks necessary to prove classical theorems, seeking to elucidate the logical foundations of mathematics. In parallel, ...

One of the world's most complex mathematical theories may have finally been cracked by a scholar in Japan, although confirming the breakthrough may take many more years due to the sheer scale of the ...

A mathematical theory of human behaviour may re-organise the social sciences in the same way that Darwin’s Theory of Evolution re-organised the biological sciences, according to new research from the ...