Logic is the invisible framework that shapes how humans think, reason, and make sense of the world. From mathematics and ...

The Fast Company Impact Council is an invitation-only membership community of top leaders and experts who pay dues for access to peer learning, thought leadership, and more. BY Rodrigo Magnago The ...

Choose appropriate methods or models for a given problem, using information from observation or knowledge of the system being studied. Employ quantitative methods, mathematical models, statistics, and ...

Microsoft has introduced a new set of small language models called Phi-4-reasoning, Phi-4-reasoning-plus, and Phi-4-mini-reasoning, which are described as "marking a new era for efficient AI." These ...

Hallucination is fundamental to how transformer-based language models work. In fact, it’s their greatest asset: this is the method by which language models find links between sometimes disparate ...

After almost sixty years of stumping progress in geometry, a Korean mathematician has cracked a problem that generations of ...

Chandan Singh Gughtyal has been teaching Maths in boarding schools in India for about 28 years. He has experience of working as an assistant housemaster, housemaster, resident dorm parent, and dorm ...

Brain-imaging techniques have made it possible to explore the neural foundations of logical and mathematical cognition. These techniques are revealing more than simply where these high-order processes ...