By encoding mathematical statements into numbers, mathematician Kurt Gödel used ordinary arithmetic to check whether a ...
A week after OpenAI made headlines with an A.I.-generated proof, a new “declaration” by 16 experts raises concerns that the ...
In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...
Last week I explained how a then 25-year-old logician, Kurt Gödel, overturned a basic assumption of many mathematicians in ...
Most people wouldn't think that it would take rigorous mathematical proof to show how many folds it takes to make a donut ...
OpenAI makes big splash with AI finding math problem breakthrough. Real lesson is to use AI to find counterexamples. An AI ...
Today, 16 mathematicians in consultation with peers and relevant organizations published the Leiden Declaration on Artificial ...
AI chatbots may already possess consciousness, challenging our understanding of intelligence and sparking ethical debates.
P vs. NP asks: are these two classes actually the same? If P = NP, then every “hard” problem is secretly fast to solve; we ...
For nearly 80 years, mathematicians have struggled to solve a classic geometry puzzle first posed by Paul Erdős in 1946: the ...
Then it’s kind of a mystery to try to figure out why and how they’re related.” The Riemann hypothesis has proved to be a font of surprising connections all over math and beyond it, to the realm of the ...
At a secret meeting in 2025, some of the world's leading mathematicians gathered to test OpenAI's newest large language model, o4-mini. Experts at the meeting were amazed by how much the model's ...
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