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 ...

Abstract: With the rapid development of technology, computer technology plays an increasingly vital role across various fields, including education. Python, a high-level programming language, has a ...

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 ...

Here we make explicit the connection between subscript notation in mathematics and indices in Python. In mathematics: Say we have a collection of objects X. We can refer to individual elements of the ...

A decade ago astrophysicists at the Laser Interferometer Gravitational-Wave Observatory (LIGO), operated by the California Institute of Technology and the Massachusetts Institute of Technology, ...

Growing up, Tai-Danae Bradley had no love for math. In 2008, she entered the City College of New York, where she played for the basketball team and hoped to start a career in sports nutrition. She saw ...

The original version of this story appeared in Quanta Magazine. In 2003, a German graduate student named Britta Späth encountered the McKay conjecture, one of the biggest open problems in the ...