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Certainty Is Overrated

August 25, 2026

Jordan Ellenberg finds mathematical certainty overrated. Calming our fear of the unknown, the mathematician joins Hakeem to explore why math, contrary to popular belief, is less about proof and more about probability. He traces uncertainty's surprisingly recent arrival in mathematical history and its deep ties to quantum physics. Jordan also unpacks the difference between what's unknown and what's fundamentally unknowable, why hurricanes and earthquakes are "certain uLearn more about NOVA and...

Next Dimension Geometry

August 20, 2026

Jordan Ellenberg says geometry isn’t about shapes. It’s about distance. In a tour of geometry far stranger than anything from high school, the mathematician breaks down how our ancient understanding of triangles evolved into the invisible architecture behind AI, family trees, and human relationships. Minds expand as we ask why the "closeness" between two ideas is a literal angle in a vast multi-dimensional space, and what can a 19th-century novella about a talking square teach us about worlds...

AI’s Hidden Math

August 18, 2026

Jordan Ellenberg has good news: artificial intelligence is just math you can actually understand. The mathematician joins Hakeem to pull back the curtain on how large language models really work, revealing that the "miracle" of AI is closer to trial and error scaled up billions of times than anything resembling thought. Jordan breaks down why the process works so well, how every word becomes a point in a space with hundreds of dimensions, and why your chatbot's "personality" is engineered, no...