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A Math Lesson From Hitler’s Germany (2017)

Source: news.ycombinator.com | By Evelyn Lamb

Published on: 2025-04-20 05:55:50

In 1934, David Hilbert, by then a grand old man of German mathematics, was dining with Bernhard Rust, the Nazi minister of education. Rust asked, “How is mathematics at Göttingen, now that it is free from the Jewish influence?” Hilbert replied, “There is no mathematics in Göttingen anymore.” “There is no mathematics in Göttingen anymore”: the German math giant David Hilbert. Visual: Shelby White and Leon Levy Archives Center, Institute for Advanced Study, Princeton, NJ, USA. Or so the story go

Keywords: göttingen institute mathematicians mathematics says

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A Math Couple Solves a Major Group Theory Problem—After 20 Years of Work

Source: wired.com | By Leila Sloman

Published on: 2025-06-02 22:00:00

The original version of this story appeared in Quanta Magazine. In 2003, a German graduate student named Britta Späth encountered the McKay conjecture, one of the biggest open problems in the mathematical realm known as group theory. At first her goals were relatively modest: She hoped to prove a theorem or two that would make incremental progress on the problem, as many other mathematicians had done before her. But over the years, she was drawn back to it, again and again. Whenever she tried t

Keywords: conjecture mathematicians mckay problem späth

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The cultural divide between mathematics and AI

Source: news.ycombinator.com | By Unknown

Published on: 2025-06-16 22:07:35

By Ralph Furman. HackerNews Discussion This January, I attended the Joint Mathematics Meeting (JMM), themed "We Decide Our Future: Mathematics in the Age of AI." It was a veritable buffet of talks and connections, and I found myself rushing across the convention hall to go between sessions in fields I'm close to (eg: modular forms), new areas I was delighted to dig into (eg: knowledge graphs), and the many talks on AI for math. Jointly organized by the American Mathematical Society (AMS) and t

Keywords: ai mathematical mathematicians mathematics research

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The Saw-Toothed Function That Broke Calculus

Source: wired.com | By Solomon Adams

Published on: 2025-07-13 12:00:00

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky foundation. Its core concepts were rooted in intuition and informal arguments, rather than precise, formal definitions. Two schools of thought emerged in response, according to Michael Barany, a historian of math and science at the University of Edinburgh. French mathematicians were by and large content

Keywords: calculus function math mathematicians weierstrass

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After 20 years, math couple solves major group theory problem

Source: news.ycombinator.com | By Leila Sloman

Published on: 2025-07-11 18:09:56

After the conjecture was posed in the 1970s, dozens of mathematicians tried their hand at proving it. They made partial progress — and in the process they learned a great deal about groups, which are abstract objects that describe the various symmetries of a mathematical system. But a full proof seemed out of reach. Then Späth came along. Now, 20 years after she first learned about the problem and more than a decade after she met Cabanes, the two mathematicians have finally completed the proof.

Keywords: conjecture group groups mathematicians mckay

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After 20 Years, Math Couple Solves Major Group Theory Problem

Source: news.ycombinator.com | By Leila Sloman

Published on: 2025-07-12 04:09:56

After the conjecture was posed in the 1970s, dozens of mathematicians tried their hand at proving it. They made partial progress — and in the process they learned a great deal about groups, which are abstract objects that describe the various symmetries of a mathematical system. But a full proof seemed out of reach. Then Späth came along. Now, 20 years after she first learned about the problem and more than a decade after she met Cabanes, the two mathematicians have finally completed the proof.

Keywords: conjecture group groups mathematicians mckay

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