Mathematical logic and set theory provide the foundational language for modern mathematics, articulating precise notions of proof, computability and the hierarchy of infinities. Central themes include ...

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 ...

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 ...

Below, Tom Griffiths shares five key insights from his new book, The Laws of Thought: The Quest for a Mathematical Theory of the Mind. Griffiths is a professor of psychology and computer science at ...

The intersection of machine learning and mathematical logic — spanning computer science, pure mathematics, and statistics — has catalyzed recent advances in artificial intelligence and deep learning ...

Dynamical systems and ergodic theory have become central to modern approaches in number theory by recasting arithmetic questions as problems about long-term behaviour of orbits under iteration. Such ...

Unlike his much more famous colleague Albert Einstein, John von Neumann is not a household name these days, but his discoveries shape the possibilities of life for every creature on this planet. As a ...

Can advanced mathematics decode the exotic geometries of a psychedelic trip to unlock a new science of reality?

Logic studies how arguments work, and how ideas can fit together. Decision theory studies how decisions should be made, especially under uncertainty. Game theory considers how we reason strategically, ...