The incompleteness theorem is accepted as part of the mathematical canon today, but columnist Jacob Aron says it was a ...
In a dark room, in the middle of the night, a woman lies dreaming. Suddenly, her eyes beneath their lids dart crisply left-right, left-right. The eye signal means she knows she’s dreaming. Lucid ...
Elementary school teachers report increasing behavioral problems among young students. Schools are helping to better train teachers to deal with classroom behavior issues. Elementary teachers say they ...
Amateur mathematicians are using artificial intelligence chatbots to solve long-standing problems, in a move that has taken professionals by surprise. While the problems in question aren’t the most ...
Over the weekend, Neel Somani, who is a software engineer, former quant researcher, and a startup founder, was testing the math skills of OpenAI’s new model when he made an unexpected discovery. After ...
According to Lex Fridman's conversation with Joel David Hamkins (@JDHamkins) on X (Dec 31, 2025), key topics including Gödel's incompleteness theorems, mathematical multiverse theory, paradoxes, and ...
Usama has a passion for video games and a talent for capturing their magic in writing. He brings games to life with his words, and he's been fascinated by games for as long as he's had a joystick in ...
The traditional response "you're welcome" is being replaced by phrases like "no problem" and "my pleasure." This shift in language reflects a generational difference in etiquette, moving from formal ...
Bluetooth is a technology for short-range data transmission that has become so ubiquitous in recent years that we can no longer imagine life without it. This makes it all the more annoying when ...
According to @JeffDean, ongoing advancements in applying AI to mathematical problem solving are being demonstrated by CarinaLHong and her team, showcasing the growing capability of AI models to tackle ...
Program comprehension is a critical skill in computer science, enabling programmers to understand, analyze, and modify existing software systems. Although this skill is fundamental for both novice and ...