Get set theory explained in a clear and complete way, covering everything you need to know from basic definitions to key operations and ideas. This video walks through sets, subsets, unions, ...

We publish deeply researched (and often vastly underread) academic papers about our collective omnipresent media bias. We publish deeply researched (and often vastly underread) academic papers about ...

All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...

Physicists present evidence that the universe is not a computer simulation. Credit: Amanclos / CC BY 2.0 / Flickr A team of physicists has presented new mathematical evidence that challenges the ...

The idea that we might be living inside a vast computer simulation, much like in The Matrix, has fascinated philosophers and scientists for years. But a new study from researchers at the University of ...

It's a plot device beloved by science fiction: our entire universe might be a simulation running on some advanced civilization's supercomputer. But new research from UBC Okanagan has mathematically ...

The Mathematical Logic and Category Theory independent online seminar is a research and educational seminar aimed at jointly studying the fundamentals and current results in the fields of categorical ...

Scanning the crowd at a fancy soiree may reveal a wide array of neckties, each fastened with a highly complex mathematical object masquerading as fashion. An entire field of mathematics is devoted to ...

This post was updated Aug. 31 at 7:59 p.m. Warning: Spoilers for R.F. Kuang’s “Katabasis” ahead. “Katabasis” is an intriguing book for academics but possibly a challenging journey for casual readers.

The original version of this story appeared in Quanta Magazine. In 1994, an earthquake of a proof shook up the mathematical world. The mathematician Andrew Wiles had finally settled Fermat’s Last ...