Mathematicians excel at handling complexity and uncertainty. Mathematical reasoning strategies aren't just useful for dilemmas involving numbers. We can apply math mindsets to improve our approach to ...

OpenAI has unveiled three innovative reasoning models—o3, o4 Mini, and ChatGPT-o4 Mini High—marking a significant step forward in artificial intelligence capabilities. These models replace earlier ...

The human brain is very good at solving complicated problems. One reason for that is that humans can break problems apart into manageable subtasks that are easy to solve one at a time. This allows us ...

In today’s competitive job market, employers are actively seeking individuals who possess strong critical thinking and problem-solving skills. These two abilities go hand in hand, and together, they ...

At the heart of this breakthrough lies AlphaProof, a sophisticated formal reasoning AI model developed by the brilliant minds at Google DeepMind. This innovative system has demonstrated an ...

As language models (LMs) improve at tasks like image generation, trivia questions, and simple math, you might think that human-like reasoning is around the corner. In reality, they still trail us by a ...

A problem doesn't last a lifetime. But how you deal with it can make it linger for years without resolution. In my studies about the topic, I've identified that, in addition to everything that ...

Engineers at the University of California San Diego have developed a new way to train artificial intelligence systems to ...

The International Mathematical Olympiad (IMO) is a prestigious competition featuring talented high school students from around the world, in which competitors solve complicated mathematical problems.

Alan Veliz-Cuba has received funding from the Simons Foundation and the American Mathematical Society for some of his research. You can probably think of a time when you’ve used math to solve an ...