Computer programs that check mathematical arguments have existed for decades, but translating a human-written proof into the strict programming language of a computer is extremely time-consuming, often taking months or even years.
Faltings was awarded the prize for work proving central results in the theory of algebraic equations linking whole numbers together. The prize highlights Faltings's work in 1983 on the theory of Diophantine equations, which are equations involving sums and powers of unknown numbers for which the solutions have to be rational - meaning they can be written as a fraction of two whole numbers, or integers.
My website was not what potential customers would be looking for. Although what the site did was useful, no one in the age of agentic coding was going to use it. Instead, they would want some way to have their coding agent, or their build process, or some other automated thing, use my system.
The incessant AI predictions are frightening and incite panic like an ongoing tornado siren from the edge of town. The idea that humans willingly replaced themselves with their technology might give future generations pause. Or maybe not---if those future generations are AI.
Three economists jointly won a Nobel Prize in late 2025 for their groundbreaking quantitative work analyzing how, and why, economies grow. Their math is complicated - but their conclusion is simple: to foster economic expansion, policymakers need to promote technological innovation and stoke competition between rival firms. The surest way to foster that innovation and competition is to strengthen intellectual property rights.
It could have been a heart-to-heart between friends. "Men are all alike," one participant said. "In what way?" the other prompted. The reply: "They're always bugging us about something or other." The exchange continued in this vein for some time, seemingly capturing an empathetic listener coaxing the speaker for details. But this mid-1960s conversation came with a catch: The listener wasn't human. Its name was Eliza, and it was a computer program that is now recognized as the first chatbot,
Bell Labs, the once-famed research arm of AT&T, celebrated the centennial of its founding last year. In its heyday, starting in the 1940s, the lab created a cascade of inventions, including the transistor, information theory and an enduring computer software language. The labs' digital DNA is in our smartphones, social media and chatbot conversations. Every hour of your day has a bit of Bell Labs in it, observed Jon Gertner, author of The Idea Factory, a history of the storied research center.
As AI systems become more capable, more accessible, and more embedded in everyday workflows, creativity is emerging as one of the most important human skills in AI development and deployment. Not creativity as decoration or aesthetics, but creativity as problem framing, decision-making, and human judgment. In an era where many organizations are using the same models, tools, and platforms, creative thinking is what separates meaningful outcomes from generic ones.
The big picture: A mass market, easy-to-use coding tool is a game changer for the 99% of people who, until now, had to rely on other people's software to do anything from building custom data tools to automating repetitive work to building apps or websites. And Claude Code - Anthropic's AI coding agent powered by models like Claude Opus 4.5 - is having a moment.