Explainers

By clicking to watch this video, you agree to our privacy policy.

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.


Explore All Videos

David Moore: Tabletop Physics

May 3, 2016

David Moore of Stanford University describes how, inside this chamber, silica spheres probe for distortions of gravity.

The Evolutionary Argument Against Reality

April 21, 2016

Donald Hoffman explains how our perceptions have evolved to become like a computer interface.

Is That ‘Bump’ a New Particle?

April 14, 2016

David Kaplan reports on a potentially exciting new signal at the Large Hadron Collider.

David Deamer: How We’re Studying the Origins of Life

March 17, 2016

David Deamer explains how his laboratory mimics the extreme conditions found on volcanoes in the early Earth.

Are We Alone in the Universe?

February 4, 2016

David Kaplan explores the best ways to search for alien life on distant planets.

Richard Dawid: Why Trust a Theory?

December 16, 2015

Richard Dawid discusses the fine line between science and speculation.

Christoph Adami: The Information Theory of Life

November 19, 2015

Christoph Adami explains how information theory can explain the persistence of life.