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Breaking Math Podcast

Breaking Math Podcast

Autumn Phaneuf & Noah Giansiracusa 197 Episodes Aug 23, 2018

Breaking Math is a deep-dive science, technology, engineering, AI, and mathematics podcast that explores the world through the lens of logic, patterns, and critical thinking. Hosted by Autumn Phaneuf, an expert in industrial engineering and applied mathematics, and Noah Giansiracusa, a mathematician and voice in algorithmic literacy, the show uncovers the mathematical structures behind science and technology. Each episode takes listeners on an intellectual journey into topics like chaos theory, AI ethics, and the math of biology and physics. The hosts interview scientists, researchers, and thinkers across various fields.

Episodes

31: Into the Abyss (Part Two; Black Holes)
31: Into the Abyss (Part Two; Black Holes) Aug 23, 2018 3409 Black holes are objects that seem exotic to us because they have properties that boggle our comparatively mild-mannered minds. These are objects that light cannot escape from, yet glow with the energy they have captured until they evaporate out all of their mass. They thus have temperature, but Einstein's general theory of relativity predicts a paradoxically smooth form. And perhaps most mind-bogg
30: The Abyss (Part One; Black Holes)
30: The Abyss (Part One; Black Holes) Aug 2, 2018 3069 The idea of something that is inescapable, at first glance, seems to violate our sense of freedom. This sense of freedom, for many, seems so intrinsic to our way of seeing the universe that it seems as though such an idea would only beget horror in the human mind. And black holes, being objects from which not even light can escape, for many do beget that same existential horror. But these objects
29: War
29: War Jul 14, 2018 2049 In the United States, the fourth of July is celebrated as a national holiday, where the focus of that holiday is the war that had the end effect of ending England’s colonial influence over the American colonies. To that end, we are here to talk about war, and how it has been influenced by mathematics and mathematicians. The brutality of war and the ingenuity of war seem to stand at stark odds to o
27: Peer Pressure (Cellular Automata)
27: Peer Pressure (Cellular Automata) May 14, 2018 3108 The fabric of the natural world is an issue of no small contention: philosophers and truth-seekers universally debate about and study the nature of reality, and exist as long as there are observers in that reality. One topic that has grown from a curiosity to a branch of mathematics within the last century is the topic of cellular automata. Cellular automata are named as such for the simple reason
25: Pandemic Panic (Epidemiology)
25: Pandemic Panic (Epidemiology) Apr 13, 2018 2674 The spectre of disease causes untold mayhem, anguish, and desolation. The extent to which this spectre has yielded its power, however, has been massively curtailed in the past century. To understand how this has been accomplished, we must understand the science and mathematics of epidemiology. Epidemiology is the field of study related to how disease unfolds in a population. So how has epidemiolog
What Actually Makes Something Alive?  with Melanie Challenger
What Actually Makes Something Alive? with Melanie Challenger Aug 19, 2026 2926 What does it mean to be alive? In this episode of Breaking Math, Autumn and Noah speak with Melanie Challenger, author of Alive, about one of the most profound questions in science and philosophy: how do we define life?Challenger argues that life is not simply a machine-like process or a bundle of genetic instructions. Living beings are embodied, purposeful agents. From single-celled organisms to
Why Uncertainty Is Science's Greatest Strength  with Stuart Firestein
Why Uncertainty Is Science's Greatest Strength with Stuart Firestein Aug 6, 2026 2584 Neuroscientist Stuart Firestein (Columbia University) joins Breaking Math to make an extravagant claim: uncertainty isn't a weakness in science — it's the defining feature that makes progress possible. In this episode, we break down why the "one right answer" myth is one of the most damaging ideas in science, why real experts are often the most uncertain people in the room, and why authority and e
Robot Proof: Why Better AI Starts With Better People with Vivienne Ming
Robot Proof: Why Better AI Starts With Better People with Vivienne Ming Jul 25, 2026 3565 Neuroscientist, entrepreneur, and author Dr. Vivienne Ming joins Autumn and Noah to make the case that if we want better AI, we need to build better people first. We get into why AI tutors that hand students answers make learning worse, not better; what her research on "hybrid intelligence" reveals about the human traits — not the AI model — that predict elite human-AI collaboration; a wild experi
Why Nothing Works:  Robber Barons, Algorithms & Governing AI
Why Nothing Works: Robber Barons, Algorithms & Governing AI Jul 10, 2026 2642 In this episode, Historian and author Marc Dunkelman to explain why the 19th-century fight over railroad power is the exact fight we're about to have over algorithms and AI. Drawing on his acclaimed book Why Nothing Works: Who Killed Progress — and How to Bring It Back (a Best Book of the Year in the Financial Times and The Economist), Marc unpacks the two competing tools America has always used a
Can Math Save Journalism?: Julia Angwin on Proof, Power, and Amazon's Algorithm
Can Math Save Journalism?: Julia Angwin on Proof, Power, and Amazon's Algorithm Jul 2, 2026 3169 In this conversation we chat with Julia Angwin — Pulitzer Prize-winning journalist, founder of Proof News, and former Wall Street Journal and ProPublica reporter — to make the case that journalism should function more like mathematical proof than anecdote.We cover how Angwin's team at The Markup used a decision-tree model to prove Amazon was favoring its own products in search results by an 8-to-
The Proof in the Code: How Lean Is Quietly Rewriting Trust in Math (w/ Kevin Hartnett)
The Proof in the Code: How Lean Is Quietly Rewriting Trust in Math (w/ Kevin Hartnett) Jun 24, 2026 2738 In this episode, Autumn and Noah talk with Kevin Hartnett about why mathematicians are willing to spend years reducing an idea to a level of detail a machine can check, whether formal verification can catch an AI that's technically correct but fundamentally misaligned, the cold-start problem that kept earlier theorem-provers niche, and what it means for the future of mathematical trust once AI can
How Data Science Exposes Injustice: Chad Topaz on Unlocking Justice
How Data Science Exposes Injustice: Chad Topaz on Unlocking Justice Jun 10, 2026 2406 What happens when the evidence of injustice is buried in messy, redacted, or inaccessible data? Mathematician and data scientist Chad Topaz joins Breaking Math to discuss his book Unlocking Justice. Together, we explore policing, sentencing, public records, Rikers Island, algorithmic risk, and the limits of quantifying human lives. This is a conversation about math, power, transparency, and the sm

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