A statement can be true or false. But as Kurt Gödel demonstrated, there will always be mathematical assumptions that can ...

An 80-year-old challenge in geometry has been cracked by mathematicians working for the tech firm Open AI using a single prompt from an AI chatbot. The company has not revealed all the precise details ...

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. The Quanta Newsletter ...

A clean, minimal markdown preview for Visual Studio Code. Provides an enhanced markdown viewing experience with syntax highlighting, interactive diagrams, math rendering, real-time synchronization, ...

In this playlist, I show you how to understand set theory. I introduce sets as Venn diagrams, mapping, and assets of numbers.

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Zermelo-Fraenkel set theory is so widely accepted that modern mathematicians hardly think about it. But believing in its core principles didn’t come easily. How do mathematicians decide that something ...