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 ...

Researchers at Stanford and Caltech have found some critical reasoning failures in advanced AI models. LLMs are great at recognizing patterns, but they have trouble with basic logic, social reasoning, ...

Cool Math Games offers access to a wide range of free math challenges that help students sharpen their mathematical skills. These include free thinking, strategy, and logic games. Cool Math games are ...

Take the pressure off of problem solving with engaging thinking games that encourage students to work together to find solutions. Like many teachers, I used to think of problem-solving as something I ...

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 ...

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 ...

This post was updated Aug. 31 at 7:59 p.m. Warning: Spoilers for R.F. Kuang’s “Katabasis” ahead. “Katabasis” is an intriguing book for academics but possibly a challenging journey for casual readers.