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Plan used by Anthropic’s Claude to formalize Fermat’s Last Theorem; source: Anthropic Introduction In 1637, French mathematician Pierre de Fermat, while perusing a copy of Arithmetica, an ancient mathematical text by the Greek mathematician Diophantus, wr…
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Illustration of the planar unit distance problem.
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The march of human progress There is much to celebrate in modern society: Crime rates are declining worldwide; worldwide extreme poverty continues to fall; worldwide life expectancy continues to rise; computer and information technologies continue their r…
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Credit: Vatican Museum 2023-2025: Can chatbots prove mathematical theorems?
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credit: Vera C.
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Happy PiDay!
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Yes, in just a few days we will once again celebrate Pi Day (3/14 in North American date notation).
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Source: New York Times A discouraging year Today, as a year ago when we posted a similar report, there is no shortage of discouraging news headlines, among them (as of 1 Jan 2026): A war in Ukraine that has continued for nearly four years, killing or inju…
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Google data center in Ohio Artificial intelligence’s march of progress Without doubt, artificial intelligence (AI) and machine learning (ML) systems have scored numerous remarkable successes over the past few years: Defeating the reigning world chess cham…
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Credit: Yuichiro Chino/Getty Updated 10 June 2025 Artificial intelligence’s march of progress One by one, large AI- and machine learning-based systems have scored numerous successes over the past few years; it is clear that we have witnessed (and are witn…