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How to Tame the Endless Infinities Hiding in the Heart of Particle Physics
...the English-speaking world. The mathematics itself poses another barrier. The trilogy’s 1,110 pages brim with original mathematical objects and bizarre coinages. Odd-sounding terms like “trans-series,” “analyzable germs,” “alien derivations” and...
Does Nothingness Exist?
...Magazine that takes you into some of the biggest unanswered questions in math and science today. In this episode, we’re going to ask: Does nothingness exist? (00:17) Philosophers and scientists...
How to Build an Origami Computer
Two mathematicians have shown that origami can, in principle, be used to perform any possible computation. In 1936, the British mathematician Alan Turing came up with an idea for a...
How Do Machines ‘Grok’ Data?
...the observer becomes a part of the process being observed.” The overtrained neural network, designed to perform certain mathematical operations, had learned the general structure of the numbers and internalized...
Do We Need a New Theory of Gravity?
...biggest questions in math and science today. In this episode, we ask physicist Claudia de Rham, what might gravity be hiding at a particle level? And how might this change...
How the Human Brain Contends With the Strangeness of Zero
...simple, math students and mathematicians alike continue to wrestle with it. Zero is the “eccentric uncle in the family of numbers,” Nieder said. To use zero in calculations, mathematicians had...
The Physicist Working to Build Science-Literate AI
...neural networks are just equations, too. How come Einstein’s math gives us models of the universe, but AI’s math can’t? I would say that the second kind of math, machine...
How Big Data Carried Graph Theory Into New Dimensions
Researchers are turning to the mathematics of higher-order interactions to better model the complex connections within their data. Graph theory isn’t enough. The mathematical language for talking about connections, which...
New Number Systems Seek Their Lost Primes
For centuries, mathematicians tried to solve problems by adding new values to the usual numbers. Now they’re investigating the unintended consequences of that tinkering. Mathematicians are digging up the root...