Explainers
The 4-Page Paper That Broke Mathematics
For thousands of years, mathematicians avoided the concept of infinity. Then, in 1874, Georg Cantor published a four-page paper that changed mathematics forever. Hidden inside was a shocking claim: some infinities are larger than others. Today, Cantor is celebrated as the father of set theory and one of the great mathematical revolutionaries. But newly uncovered letters reveal a far more complicated story — one involving collaboration, secrecy, and plagiarism.
Read related article
Select Playlist
Explore All Videos
Quantum Computers, Explained With Quantum Physics
Quantum computers aren’t the next generation of supercomputers — they’re something else entirely. Before we can even begin to talk about their potential applications, we need to understand the fundamental physics that drives the theory of quantum computing.
Black Hole Jets: Unraveling One of the Biggest Mysteries in the Universe
At the heart of every galaxy lies one of the most mysterious objects in the universe: a supermassive black hole. Millions to billions of times the mass of our sun, these giants power astrophysical jets, one of the most energetic processes known to physics.
The Theory That Could Rewrite the Laws of Physics
Marletto explains why traditional approaches to physics fail in important cases such as information theory, and how constructor theory might succeed.
Plate Tectonics: The Mystery of Earth’s Many Faces
Lucía Pérez-Díaz explores the mysteries of plate tectonics.
Iceland Is a Portal to Mars
Volcanic eruptions are intimately connected with life. Scientists are using the current eruptions in Iceland to understand the possible history of life on Mars.
Fighting for Equality in Computer Science and Beyond
Abebe switched fields from math to computer science in order to learn tools she could apply to social problems like poverty and educational inequality.
Why Extraterrestrial Life Might Not Be So Alien
The zoologist Arik Kershenbaum of the University of Cambridge discusses convergent evolution, animal communications and why life throughout the universe may have certain common features.
This U.S. Olympiad Coach Has a Unique Approach to Math
Po-Shen Loh discusses his approach to coaching the United States International Mathematical Olympiad team and reveals what he believes to be the major problem with math education.
Why COVID-19 Models Don’t Predict the Future
To understand what epidemiological models can tell us, it helps to first understand what they can’t. In this comprehensive explainer, we break down how epidemiological models are built and dispel some of the common misunderstandings about their applications.