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Will Computers Redefine the Roots of Math?
...mathematical arguments. Awodey, a mathematician and logician at Carnegie Mellon University in Pittsburgh, Pa., followed along as Voevodsky wrote a definition of a mathematical object using a new formalism he...
‘Outsiders’ Crack 50-Year-Old Math Problem
...entire system? Richard Kadison (left), pictured at the 1970 International Congress of Mathematicians in Nice, France, and Isadore Singer posed a mathematics problem in 1959 that stood unsolved for more...
In Mysterious Pattern, Math and Nature Converge
...their eigenvalues. That’s why mathematicians call the phenomenon “universality.” “It seems to be a law of nature,” said Van Vu, a mathematician at Yale University who, with Terence Tao of...
A Fluid New Path in Grand Math Challenge
...lies at the heart of a speculative new approach to a problem that has bedeviled mathematicians for more than 150 years: understanding the solutions to the Navier-Stokes equations of fluid...
All Is Not Fair in Cake-Cutting and Math
...they want to strive for — and that’s something mathematics can’t decide for them. When children divide an inheritance, should the Chagall painting go to the child who’s an art...
Quantum Questions Inspire New Math
...The mathematical physicist and Nobel laureate Eugene Wigner has written eloquently about the amazing ability of mathematics to describe reality, characterizing it as “the unreasonable effectiveness of mathematics in the...
Physicists Attack Math’s $1,000,000 Question
...remains arguably the most important unsolved problem in pure mathematics — one whose solution would fetch a $1 million Millennium Prize from the Clay Mathematics Institute. Conversely, as the number...
The Navier-Stokes proof has blown up the math world
Earlier this week, mathematicians at OpenAI announced that 10,000 autonomous AI agents under their direction had found a “singularity” in the Navier-Stokes equations — resolving one of the six remaining...
Is There Math Beyond the Equal Sign?
...of very sophisticated thing. Cheng (08:43): Yes. And that’s one of the reasons I call it the mathematics of mathematics. Because where mathematics goes around looking at the world and...