Andrew Ludwig's January 20 Another Voice on polarized opinions relies on ideas from mathematical logic, but a few logical steps are mixed up.

Joel David Hamkins is not a peripheral critic of artificial intelligence. He is a senior figure in mathematical logic whose career has unfolded inside some of the most demanding institutions and ...

The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...

Get set theory explained in a clear and complete way, covering everything you need to know from basic definitions to key operations and ideas. This video walks through sets, subsets, unions, ...

We publish deeply researched (and often vastly underread) academic papers about our collective omnipresent media bias. We publish deeply researched (and often vastly underread) academic papers about ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...

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 ...

Mathematics provides much of the language and quantitative underpinnings of the natural and social sciences — mathematical scientists built the foundation for modern computational and computer science ...

It's a plot device beloved by science fiction: our entire universe might be a simulation running on some advanced civilization's supercomputer. But new research from UBC Okanagan has mathematically ...

Abstract: The paper is about formalization of Set Theory and Elementary Algebra theorems in mathematics and their proofs in a new programming language called LEAN 4 Theorem Prover. The paper describes ...