Mathematical logic, set theory, lattices and universal algebra form an interconnected framework that underpins much of modern mathematics. At its heart, mathematical logic provides rigorous formal ...

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 ...

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, ...

Breakthroughs, discoveries, and DIY tips sent six days a week. Terms of Service and Privacy Policy. In nature, patterns of chemical interactions between two different ...

Researchers are using chaos theory to 3D-print stunning pieces of jewelry. As Einstein himself said, "The greatest scientists are always artists as well." Monisha Ravisetti was a science writer at ...

Researchers have demonstrated that self-organization of neurons as they 'learn' follows a mathematical theory called the free energy principle. The principle accurately predicted how real neural ...

Within mathematics, there is a vast and ever expanding web of conjectures, theorems and ideas called the Langlands program. That program links seemingly disconnected subfields. It is such a force that ...

The equal sign is the bedrock of mathematics. It seems to make an entirely fundamental and uncontroversial statement: These things are exactly the same. But there is ...

The following is an extract from our Lost in Space-Time newsletter. Each month, we hand over the keyboard to a physicist or mathematician to tell you about fascinating ideas from their corner of the ...

An international collaboration between researchers at the RIKEN Center for Brain Science (CBS) in Japan, the University of Tokyo, and University College London has demonstrated that self-organization ...

An illustration of two black holes about to merge and emitting copious gravitational waves. And as the numbers of gravitational-wave observations have increased, physicists’ careful modeling is ...