At 25, Kurt Gödel proved there can never be a mathematical “theory of everything.” Columnist Natalie Wolchover explores the implications. In 1931, by turning logic on itself, Kurt Gödel proved a pair ...

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 ...

Subscribe! Want more math video lessons? Visit my website to view all of my math videos organized by course, chapter, and section. The purpose of posting my free video tutorials is to not only help ...

Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, ...

When our son was 4 years old, he asked my wife and me: "Can you drive to heaven?" Out of the mouth of babes, right? It’s a question only a child would ask, but it raises a very adult question: Where ...

Over the weekend, Neel Somani, who is a software engineer, former quant researcher, and a startup founder, was testing the math skills of OpenAI’s new model when he made an unexpected discovery. After ...

It’s no secret that many of us are not too fond of mathematics and geometry, and that it is often too complex. But even so, it can be pretty mind-blowing to look back in history and discover the ...

In 2021 an unconventional pair of collaborators embarked on a bold experiment. For two years Steven Rayan, a mathematician and mathematical physicist, and Jeff Presslaff, a freelance composer, pianist ...

Plasticity theories have been used for decades in research and engineering practice to predict the mechanical behavior of sands, soils, powders, and rocks. These theories rely upon postulated ...

Modern Mathematics is constructed rigorously through proofs, based on truths, which are either axioms or previously proven theorems. Thus, it is par excellence a model of rational inquiry. Links ...

Neuroscientists are exploring whether shapes like squares and rectangles — and our ability to recognize them — are part of what makes our species special. Credit...Video by Yoshi Sodeoka Supported by ...