For 50 years, mathematicians have believed that the total number of real numbers is unknowable. A new proof suggests otherwise. <p>The post <a href="https://www.quantamagazine.org/how-many-numbers-exist-infinity-proof-moves-math-closer-to-an-answer-20210715/" target="_blank">How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer.</a> first appeared on <a href="https://www.quantamagazine.org" target="_blank">Quanta Magazine</a></p>

Eternal Change for No Energy: A Time Crystal Finally Made Real

Exploring the distant universe, the insides of cells, the abstractions of math, the complexity of information itself, and much more, The Quanta Podcast is a tour of the frontier between the known and the unknown. In each episode, Quanta Magazine Editor-in-Chief Samir Patel speaks with the minds behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math. Quanta specifically covers fundamental research — driven by curiosity, discovery and the overwhelming desire to know why and how. Join us every Tuesday for a stimulating conversation about the biggest ideas and the tiniest details.(If you've been a fan of the Quanta Science Podcast, it will continue here. You'll see those episodes marked as audio edition episodes every two weeks.)