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Breaking Math Podcast

Breaking Math Podcast

Autumn Phaneuf & Noah Giansiracusa 197 Episodes Oct 7, 2026

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

Can Math Make You Win? Gambler's Ruin, & Bingo Paradoxes with Arthur Benjamin
Can Math Make You Win? Gambler's Ruin, & Bingo Paradoxes with Arthur Benjamin Oct 7, 2026 2231 Mathematician, mental-math performer, and backgammon grandmaster Arthur Benjamin joins Noah and Autumn to talk about his book How to Win. Together they explore what mathematics knows about winning that human intuition gets wrong: coincidences, the birthday paradox, gambler's ruin, and why the house wins even when you reach your goal more than half the time.Timeline:00:00 Can math ruin the fun of g
Math Trauma vs. Math Anxiety: What's Actually Holding You Back?
Math Trauma vs. Math Anxiety: What's Actually Holding You Back? Sep 30, 2026 2494 "I'm just not a math person." If you've ever said that about yourself, this episode is for you.Dr. Geillan Aly, author of Compassionate Math, joins Breaking Math to break down the real difference between math anxiety and math trauma — and why mathematics, more than almost any other subject, is uniquely built to make one bad experience feel like permanent proof of failure.In this episode we cover:
Forecasting Explained: How Prediction Markets Beat Experts
Forecasting Explained: How Prediction Markets Beat Experts Sep 9, 2026 2593 Professional forecaster Molly Hickman breaks down what it really means to assign a probability to the future — and why she believes generalists often out-forecast subject-matter experts. This episode explores the art and science of forecasting, from techniques to ethical considerations, and how AI and prediction markets are shaping our understanding of the future.Key TopicsThe definition of foreca
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
Rise of the Robots: Is AI Coming for Your Job?
Rise of the Robots: Is AI Coming for Your Job? Jun 2, 2026 2664 This conversation explores the profound impact of AI and automation on the future of work, economy, and society. Featuring Martin Ford, author of 'Rise of the Robots,' the discussion covers technological progress, economic implications, policy ideas like universal basic income, and the evolving nature of jobs in an AI-driven world.Key TopicsImpact of AI on employment and economyPotential of univer
The Echoing Universe: How Radio Waves, AI, and Math Could Help Us Find Aliens with Emma Chapman
The Echoing Universe: How Radio Waves, AI, and Math Could Help Us Find Aliens with Emma Chapman May 29, 2026 2823 Dr. Emma Chapman explains radio astronomy using the fruit bowl metaphor, explores the emotional and scientific aspects of space exploration, and discusses future technologies like the Square Kilometre Array and lunar radio telescopes. The conversation highlights the poetic beauty of the universe, the importance of connection, and the role of math and AI in understanding the cosmos with her book th

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