The Fundamental Tension at the Heart of Math

We tend to think of math as all about logic and rigor. But what “rigor” actually means has been shaken up quite a few times over the past few centuries. The newest attempt to formalize math comes in the form of the computer program Lean. Mathematicians have mixed feelings. On this episode of The Quanta Podcast, host Samir Patel speaks with math editor Jordana Cepelewicz about how mathematicians today are navigating the tricky balancing act between creativity and formalization. This topic was covered in a recent story for Quanta Magazine.  Each week on The Quanta Podcast, Quanta Magazine editor in chief Samir Patel speaks with the people behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math.

Artificial intelligence software is designing novel experimental protocols that improve upon the work of human physicists, although the humans are still “doing a lot of baby-sitting.”The story AI Comes Up With Bizarre Physics Experiments. But They Work. first appeared on Quanta Magazine.

Humanoid robots can run, crawl, and sort objects in flashy demos. So why can’t they reliably climb stairs or open doors? On this episode of The Quanta Podcast, host Samir Patel speaks with contributing writer John Pavlus on why robots still struggle with the messy physics of the real world. This topic was covered in a recent story for Quanta Magazine.  Each week on The Quanta Podcast, Quanta Magazine editor in chief Samir Patel speaks with the people behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math.In this video, Atlas walks, runs and crawls using reinforcement learning. This work was done as part of a research partnership between Boston Dynamics and the Robots and AI (RAI) Institute:https://youtu.be/I44_zbEwz_w?si=KuKC34o_PiKs8zJP

To better understand our cosmos, some astronomers and astrophysicists go old school. Preserved beautifully on a hundred years of glass plate photographs are images of our night sky and its ever changing variations. On this episode of The Quanta Podcast, host Samir Patel speaks with writer Liz Kruesi about how these antique plates are updating our modern understanding of the universe. This topic was covered in a recent story for Quanta Magazine.  Each week on The Quanta Podcast, Quanta Magazine editor in chief Samir Patel speaks with the people behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math.Audio coda by Diana Chester. This project by Diana Chester was made possible through a Powerhouse Research Fellowship at the Museum of Arts and Applied Sciences in Sydney, Australia, a collaboration with Dr. Anna Raupach, and with the support of the Sydney Observatory and the New South Wales archives.

Image generators are designed to mimic their training data, so where does their apparent creativity come from? A recent study suggests that it’s an inevitable by-product of their architecture.The story Researchers Uncover Hidden Ingredients Behind AI Creativity first appeared on Quanta Magazine.

We tend to think of neurons as the sole engine of our thoughts, emotions, and everything in between.  For decades, a group of large brain cells called astrocytes have been thought of as mere packing peanuts for the brain. But new research suggests otherwise. On this episode of The Quanta Podcast, host Samir Patel speaks with writer Ingrid Wickelgren about these big cells’ big responsibilities, which include controlling brain states like hopelessness, sleep, and hunger. This topic was covered in a recent story for Quanta Magazine.  Each week on The Quanta Podcast, Quanta Magazine editor in chief Samir Patel speaks with the people behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math.Audio Coda by NASA.

In 1874, Georg Cantor published one of the most important papers in math’s 4,000-year history. Some ideas in it were stolen. On this episode of The Quanta Podcast, the second of a two-parter, host Samir Patel speaks with math editor Jordana Cepelewicz about the fate of Cantor, the myths surrounding math history, and one man's search for the truth. These episodes are based on a recent Quanta story. Explore our new special series, “The Evolving Foundations of Math,” on our website.Each week on The Quanta Podcast, Quanta Magazine editor in chief Samir Patel speaks with the people behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math.Audio coda courtesy of TheAlpineSisters Alphorn Players.

By simulating ecological networks with microbes, researchers revealed properties that may make natural communities susceptible to invasion.The story The Ecosystem Dynamics That Can Make or Break an Invasion first appeared on Quanta Magazine.

In 1874, Georg Cantor published one of the most important papers in math’s 4,000-year history. Some ideas in it were stolen. On this episode of The Quanta Podcast, the first of a two-parter, host Samir Patel speaks with math editor Jordana Cepelewicz about the hard-fought journey to embed the concept of infinity into math’s foundations. The real story is a lot more complicated than the one remembered in math history. These episodes are based on a recent story; stay tuned for the conclusion next week. Explore our new special series, “The Evolving Foundations of Math,” on our website.   Each week on The Quanta Podcast, Quanta Magazine editor in chief Samir Patel speaks with the people behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math.

Parallel universes, mysterious collapses, divided worlds. These are among the interpretations of quantum theory’s relationship with reality. It’s no wonder that everyone still has questions. But a century after quantum theory emerged, some of its old mysteries may be finally dissolving. On this episode of The Quanta Podcast, host Samir Patel and contributing writer Philip Ball check in on the age-old question: What 𝘪𝘴 reality? This topic was covered in a recent story for Quanta Magazine.  Each week on The Quanta Podcast, Quanta Magazine editor in chief Samir Patel speaks with the people behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math.Audio coda courtesy of the Institute for Quantum Computing, University of Waterloo.