Mathematics is often thought of as the pinnacle of crisp precision: the square of the hypotenuse of a right triangle isn’t “roughly” the sum of the squares of the other two sides, it’s exactly that. But we live in a world of messy imprecision, and increasingly we need sophisticated techniques to quantify and deal with approximate statistical relations rather than perfect ones. Modern mathematicians have noticed, and are taking up the challenge. Tai-Danae Bradley is a mathematician who employs very high-level ideas — category theory, topology, quantum probability theory — to analyze real-world phenomena like the structure of natural-language speech. We explore a number of cool ideas and what kinds of places they are leading us to.Support Mindscape on Patreon.Tai-Danae Bradley received her Ph.D. in mathematics from the CUNY Graduate Center. She is currently a research mathematician at Alphabet, visiting research professor of mathematics at The Master’s University, and executive director of the Math3ma Institute. She hosts an explanatory mathematics blog, Math3ma. She is the co-author of the graduate-level textbook Topology: A Categorical Approach.Web siteGoogle Scholar publicationsTwitterVideo introduction to “At the Interface of Algebra and Statistics” Ph.D. thesisSee Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.

Welcome to the November 2021 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). I take the large number of questions asked by Patreons, whittle them down to a more manageable size — based primarily on whether I have anything interesting to say about them, not whether the questions themselves are good — and sometimes group them together if they are about a similar topic. Enjoy!See Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.

It’s a well-worn cliché that oceans cover seventy percent of the surface of Earth, but we tend to give them secondary consideration when thinking about the environment. But climate change is wreaking havoc on the oceans, not to mention pollution and overfishing — 90% of the world’s marine fish stocks are fully exploited or depleted. Today’s guest, Sylvia Earle, is a well-known ocean scientist, a celebrated underwater explorer, and a tireless advocate for the world’s oceans. We talk about the current state of our oceans, what we know and have yet to learn about them, and what we can do individually and collectively to make things better.Support Mindscape on Patreon.Sylvia Earle received her Ph.D. in phycology from Duke University. She is currently National Geographic’s Rosemary and Roger Enrico Chair for Ocean Exploration, as well as founder of Mission Blue, SEAlliance and Deep Ocean Exploration and Research. She formerly served as Chief Scientist for the National Oceanic and Atmospheric Administration. Among her awards are the TED Prize, the National Women’s Hall of Fame, and the inaugural Lifetime Achievement Award from the Seattle Aquarium. She is the author of several books, the most recent of which is National Geographic Ocean: A Global Odyssey.Mission BlueNational Geographic profile pageNational Women’s Hall of FameWikipediaIMDb pageAmazon author pageTwitterSee Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.

Science and storytelling have a long and tumultuous relationship. Scientists sometimes want stories to be just an advertisement for how awesome science is; storytellers sometimes want to use science for a few cheap thrills before abandoning it in the morning. But science is about ideas, and ideas can make for thrilling stories when done well. David Goyer is an accomplished screenwriter and director who has taken up a daunting task: adapting Isaac Asimov’s famous Foundation series for TV. (Available on Apple TV now.) We talk about the challenge of making a television version of a beloved series whose central character is a mathematician, and how science and storytelling relate to each other more generally.Support Mindscape on Patreon.David Goyer graduated from the University of Southern California’s School of Cinematic Arts. He has written stories or screenplays for a number of well-known films, including Dark City, Blade, the Dark Knight trilogy, Man of Steel, and Batman v Superman, as well as TV series such as FlashForward and Constantine. He has also directed and produced numerous films and shows. He has written novels, comic books, and video games such as Call of Duty: Black Ops. In addition to Foundation, he is currently working on a TV adaptation of Neil Gaiman’s Sandman graphic novels. Episodes of Foundation are released every Friday; the finale of the first season will be available Nov. 19.Web siteIMDb pageWikipediaFoundation podcastSee Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.

As the holidays approach, we are being reminded of the fragility of the global supply chain. But at the same time, the supply chain itself is a truly impressive and fascinating structure, made as it is from multiple components that must work together in synchrony. From building an item in a factory and shipping it worldwide to transporting it locally, processing it in a distribution center, and finally delivering it to an address, the system is simultaneously awe-inspiring and deeply dehumanizing. I talk with Christopher Mims about how things are made, how they get to us, and what it all means for the present and future of our work and our lives.Support Mindscape on Patreon.Christopher Mims received a bachelor’s degree in neuroscience and behavioral biology from Emory University. He is currently a technology columnist at The Wall Street Journal. He has previously written for publications such as Wired, Scientific American, The Atlantic, and Smithsonian. His new book is Arriving Today: From Factory to Front Door — Why Everything Has Changed About How and What We Buy.Columns at The Wall Street JournalWikipediaTwitterSee Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.

There is so much we don’t know about our universe. But our curiosity about the unknown shouldn’t blind us to the incredible progress we have made in cosmology over the last century. We know the universe is big, expanding, and accelerating. Modern cosmologists are using unprecedentedly precise datasets to uncover more details about the evolution and structure of galaxies and the distribution and nature of dark matter. Priya Natarajan is a cosmologist working at the interface of data, theory, and simulation. We talk about the state of modern cosmology, and how tools like gravitational lensing are providing us with detailed views of what’s happening in the distant universe.Support Mindscape on Patreon.Priya Natarajan received her Ph.D. in astrophysics from the University of Cambridge. She is currently professor of astronomy at Yale University, the Sophie and Tycho Brahe Professor at the Niels Bohr Institute of the University of Copenhagen, and an honorary professor for life at the University of Delhi, India. She is an Affiliate at the Black Hole Initiative at Harvard University and an Associate Member of the Center for Computational Astrophysics at the Flatiron Institute in New York. She is a frequent contributor to the New York Review of Books and other publications. Among her awards are a Guggenheim Fellowship, the India Abroad Foundation’s “Face of the Future” Award, and an India Empire NRI award for Achievement in the Sciences. She is the author of Mapping the Heavens: The Radical Scientific Ideas That Reveal the Cosmos.Web siteYale web pageGoogle Scholar publicationsArticles at the New York Review of BooksWikipediaTwitterSee Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.

Games are everywhere, but why exactly do we play them? It seems counterintuitive, to artificially invent goals and obstacles just so we can struggle to achieve them. (And in some games, like Twister, the fun is in losing, even though you’re supposed to try to win.) C. Thi Nguyen is a philosopher who has developed a theory of games as an art form whose medium is agency. Within each game, we have defined goals, powers, and choices, and by playing different games we can experiment with different forms of agency. A dark side of this idea is to be found in “gamification” — turning ordinary-life activities into a game. Games give us clarity of values, and that clarity can be seductive but misleading, leading people to turn to conspiracy theories about the real world.Support Mindscape on Patreon.C. Thi Nguyen received his Ph.D. in philosophy from the University of California, Los Angeles. He is currently associate professor of Philosophy at the University of Utah. He has written public philosophy for venues such as Aeon and The New York Times, and is an editor of the aesthetics blog Aesthetics for Birds. He was the recipient of the 2020 Article Prize from the American Philosophical Association. His recent book is Games: Agency as Art.Web sitePhilPeople profileGoogle Scholar publicationsTwitterSee Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.

Welcome to the October 2021 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). I take the large number of questions asked by Patreons, whittle them down to a more manageable size — based primarily on whether I have anything interesting to say about them, not whether the questions themselves are good — and sometimes group them together if they are about a similar topic. Enjoy!Support Mindscape on Patreon.See Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.

Those of us who think that that the laws of physics underlying everyday life are completely known tend to also think that consciousness is an emergent phenomenon that must be compatible with those laws. To hold such a position in a principled way, it’s important to have a clear understanding of “emergence” and when it happens. Anil Seth is a leading researcher in the neuroscience of consciousness, who has also done foundational work (often in collaboration with Lionel Barnett) on what emergence means. We talk about information theory, entropy, and what they have to do with how things emerge.Support Mindscape on Patreon.Anil Seth received his D.Phil in Computer Science and Artificial Intelligence from the University of Sussex. He is currently a professor of cognitive and computational neuroscience at Sussex, as well as co-director of the Sackler Centre for Consciousness Science. He has served as the president of the Psychology Section of the British Science Association, and is Editor-in-Chief of the journal Neuroscience of Consciousness. His new book is Being You: A New Science of Consciousness.Web siteGoogle Scholar publicationsWikipediaAmazon author pageTwitterBarnett and Seth, “Dynamical independence: discovering emergent macroscopic processes in complex dynamical systems” (2021)See Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.

Traditional physics works within the “Laplacian paradigm”: you give me the state of the universe (or some closed system), some equations of motion, then I use those equations to evolve the system through time. Constructor theory proposes an alternative paradigm: to think of physical systems in terms of counterfactuals — the set of rules governing what can and cannot happen. Originally proposed by David Deutsch, constructor theory has been developed by today’s guest, Chiara Marletto, and others. It might shed new light on quantum gravity and fundamental physics, as well as having applications to higher-level processes of thermodynamics and biology.Support Mindscape on Patreon.Chiara Marletto received her DPhil in physics from the University of Oxford. She is currently a research fellow at Wolfson College, University of Oxford. Her new book is The Science of Can and Can’t: A Physicist’s Journey Through the Land of Counterfactuals.Web siteOxford web pageGoogle Scholar publicationsWikipedia“How to Rewrite the Laws of Physics in the Language of Impossibility,” QuantaSee Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.