Mathematics

Simplices – the atoms of topology

Plus Magazine: If you love triangles as much as we do, we have great news – you can have them in any dimension you want! Two-dimensional triangles can be generalised to 0 dimensions, 1 dimension, 3 dimensions or indeed to any number of dimension. Such a generalisation is called a…

How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer.

Quanta Magazine: foundations of mathematicsHow Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer.July 15, 2021For 50 years, mathematicians have believed that the total number of real numbers is unknowable. A new proof suggests otherwise.Read LaterThere are an infinite…

The Mystery at the Heart of Physics That Only Math Can Solve

Quanta Magazine: Over the past century, quantum field theory has proved to be the single most sweeping and successful physical theory ever invented. It is an umbrella term that encompasses many specific quantum field theories — the way “shape” covers specific…

Mathematicians Find Long-Sought Building Blocks for Special Polynomials

Quanta Magazine: Problems in mathematics often have a simple “yes or no” structure: Is this statement true or false? But the most enduring and interesting problems propagate through generations, the…