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New Proofs Probe the Limits of Mathematical Truth
By proving a broader version of Hilbert’s famous 10th problem, two groups of mathematicians have expanded the realm of mathematical unknowability. The world of mathematics is full of unreachable corners,...
The Jagged, Monstrous Function That Broke Calculus
...everything from math and physics to penmanship and gymnastics. Weierstrass didn’t begin his career as a professional mathematician until he was nearly 40. But he would go on to transform...
Mathematicians Discover New Way for Spheres to ‘Kiss’
...turned out, they had to break a few unspoken rules. From Codes to Kisses Since the mid-20th century, mathematicians have relied on the mathematics of information theory and error correction...
Rational or Not? This Basic Math Question Took Decades to Answer.
...ancient question. In June 1978, the organizers of a large mathematics conference in Marseille, France, announced a last-minute addition to the program. During the lunch hour, the mathematician Roger Apéry...
The Year in Computer Science
...recently posted on the math discussion website MathOverflow. “[Someone] asked this question and I happened to know the tools to answer it,” Agol said. “Then I was realizing that this...
The Year in Biology
...math discussion website MathOverflow. “[Someone] asked this question and I happened to know the tools to answer it,” Agol said. “Then I was realizing that this might be relevant to...
The Year in Physics
...on the math discussion website MathOverflow. “[Someone] asked this question and I happened to know the tools to answer it,” Agol said. “Then I was realizing that this might be...
2024 Biggest Breakthroughs in Math
We investigate three of 2024’s biggest breakthroughs in mathematics, including a better way to pack spheres in high dimensions, a new way to avoid forming patterns of numbers, and an...
The Year in Math
...the world of mathematics and opened up new vistas for mathematicians to explore. Now mathematicians are trying to predict what that will look like with AI. Sphere-Packing Records Get...