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An Anthropic researcher developed a mathematical proof regarding the properties of a specific complex geometric object. Levent Alpöge solved the classical open problem of whether the 6-sphere admits a complex structure, a question that has remained unanswered since 1948, by collaborating with the company's Claude AI.
The findings were shared via a PDF document, with Alpöge describing the resulting geometric object as beautiful. He noted that the AI contains multitudes in its capacity to approach the long-standing mathematical puzzle.
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- SOURCE@__alpoge__“claude really contains multitudes:D”x.com
- SUPPORT@andrewcurran_“He's done it again.”x.com
- SUPPORT@mtslive“solved a classical open problem in complex geometry”x.com
- SOURCE@mark_k“this could be one of the most important AI-assisted mathematical breakthroughs yet.”x.com
- SUPPORT@wesroth“that’s a finite computation in terms of the matrices, which is why i hope it’s reasonable to verify from the two pages”x.com
- SUPPORT@ericweinstein“This is the beginning of the end of what pure mathematics is/was to me.”x.com
- SUPPORT@mtslive“Some are calling it a Fields Medal level insight if a human had done it”x.com
- SOURCEhuggingnewshuggingnews.com