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Mathematics has now become Math-as-a-Service: MaaS.
"Mathematics in the Age of AI" In an age of abundant AI-generated proofs, human understanding may become more valuable than proof generation itself. This new paper from Terence Tao argues that AI could make solving hard math problems much cheaper and faster, but at the same time, creates a new problem. If AI can generate thousands of correct proofs, mathematicians can’t possibly read, understand, verify, and teach all of them. So the scarce resource in mathematics shifts from finding proofs to making sense of them. The important work becomes deciding which results matter, explaining the key ideas, connecting them to existing theory, and turning them into knowledge other mathematicians can actually use.
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Mathematics is the canary in the coal mine of any education system: It's a delicate pyramid that crumbles if the base is not strong. Using IMO results, here are the countries that improved most from 2006 to 2026 and those that declined the most. Using rank percentile within each year’s field: Most improved 🇸🇦 Saudi Arabia: 2.2% → 69.8% (+67.6pp) 🇲🇾 Malaysia: 22.5% → 83.6% (+61.1pp) 🇰🇬 Kyrgyzstan: 14.6% → 70.7% (+56.1pp) 🇧🇩 Bangladesh: 11.2% → 67.2% (+56.0pp) 🇮🇳 India: 61.8% → 94.8% (+33.0pp) Biggest declines 🇲🇩 Moldova: 91.0% → 55.2% (−35.8pp) 🇮🇹 Italy: 87.6% → 68.1% (−19.5pp) 🇫🇮 Finland: 57.3% → 39.7% (−17.6pp) 🇩🇪 Germany: 96.6% → 83.6% (−13.0pp) 🇹🇼 Taiwan: 89.9% → 80.2% (−9.7pp)
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“Mathematics is the art of giving the same name to different things.” — Henri Poincaré
"Mathematics is a continuing creative endeavor with aesthetic values similar to those found in art and music. In particular, mathematics is a living subject, not one that has long since been embalmed in textbooks." - From 1955 College Board Mathematics Commission's report.
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In mathematics, the journey matters more than the destination. AI’s murky proofs and speedy answers are upending this foundational principle of the field.
A mathematics professor was joking that our student cafeteria serves Fibonacci soup. The soup of today is the mix of yesterday's soup and the day before.
The wife of a Mathematics teacher buys her husband a bathroom Scale. He excitedly exclaims that now he can tell how much his poop weighs. The wife, a bit Puzzled, asks, how? The Husband says, well if I take my weight before and after, I can take the difference, and it tells me the weight of my poop. A few days later the Mathematics teacher's brother, an engineer, is visiting. They get to talking and the husband mentions his wife's gift and how he loves to use the scale to find the weight of his poop, and that he is welcome to try it out. A few moments later the engineer use the bathroom to poop, but remembers his brothers offer. A few more moments later the engineer shouts out of the bathroom: This toilet paper is not cleaning the scale!
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AI is changing mathematics! Where does the conversation go from here? The American Mathematical Society (AMS) has launched AI and Mathematics: Selected Resources, a curated collection to help mathematicians explore the opportunities, questions, and evolving discussions surrounding AI and mathematical discovery. The web page brings together resources on AI-assisted research, proof verification, mathematics education, emerging tools, and expert perspectives with opportunities to explore new ideas, learn from others, and engage with the evolving role of AI in mathematics. The AMS is committed to connecting our community and fostering thoughtful, informed conversations as the impact of AI on mathematics continues to unfold. Have a resource to recommend? Email: ai@ams.org Explore resources. Link in comments.
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