Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...

AI can rifle through enormous libraries of information to connect far-flung ideas—conceptual leaps remain a purely human skill. The planar unit distance problem, or Erdős problem 90, has intrigued ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...

Is America heading toward a national debt crisis? As an economic adviser to President Biden and an economist active in mainly Democratic policy circles since the late 1980s, I’ve spent most of my ...

News that large language models (LLM) have made major advances in solving Erdős problems – a set of problems formulated by the renowned 20th-century mathematician Paul Erdős – has created an ...

So you’ve connected a device to your PC via a USB port — but Windows doesn’t recognize it. What now? Before you assume the product (or your PC port) is broken, there are several USB troubleshooting ...

May 18-24: As the federal government halts plans to address climate change, states, cities, regions, and even neighborhoods are trying to fill the gap, by cutting climate pollution and adapting to ...

Problem solving is the mental process of analyzing a situation, learning what options are available, and then choosing the alternative that will result in the desired outcome or some other selected ...

Whenever someone sends me a question about how to fix their Wi-Fi, I wince. It’s not that I dislike helping people with their router problems. In fact, there are few geeky endeavors I find more ...