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Million Dollar Problems of Mathematics

This podcast is about the strangest problems in math. The kind that sound simple, almost silly, until you try to solve them and realize people have been stuck for decades

Podcast · By TheTuringApp.Com · English · Official site

Indexed episodes, last 90 days
4
Latest publication
Aug 12, 2026
Audience
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Earliest in this view
Jul 6, 2026
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Latest episodes

  1. Episode · Aug 12, 2026

    The Paradox of Infinite Cloning (opens the original)

    Episode notes · Neutral tone

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    This episode investigates the mind-bending Banach-Tarski Paradox, a mathematical theorem that suggests you can take a solid ball, cut it into a finite number of pieces, and reassemble them into two identical balls of the same size as the original. Often called the "Pea and the Sun Paradox," this 1924 discovery by Stefan Banach and Alfred Tarski defies our common-sense understanding of volume and matter. You will learn how the "Axiom of Choice" allows mathematicians to create bizarre, infinite sc

  2. Episode · Jul 29, 2026

    The Hidden Math of Coral Reefs (opens the original)

    Episode notes · Neutral tone

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    This episode explores the hidden mathematical heartbeat of the ocean, where vibrant underwater cities are being defended by an unexpected alliance of physicists and mathematicians. While coral reefs support a quarter of all marine species and over a billion human livelihoods, they are currently under siege from marine heatwaves, acidification, and invasive predators. The journey takes listeners from the depths of recursive fractal growth and logistic curves to the cutting edge of conservation te

  3. Episode · Jul 13, 2026

    A Periodic Table of Molecular Knots (opens the original)

    Episode notes · Positive tone

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    In this episode, we step down into the sub-microscopic world of chemistry to explore the groundbreaking construction of a "Periodic Table of Molecular Knots". While statistical mechanics dictates that any long, agitated string will eventually tangle with 100% probability, nature relies on knots at the tiniest scales, tying loops into roughly 1% of our proteins and packing knots into the tight coils of our DNA. We look inside the cell to meet topoisomerases. These specialized biological untangler

  4. Episode · Jul 6, 2026

    Is There More Than One Infinity? (opens the original)

    Episode notes

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    In this episode, we venture into the deeply dramatic history of infinite mathematics to unlock the enigmas of how we count things that never end. We begin in October 2018 with mathematician David Asperó on a vacation in Italy, experiencing an epiphany that would lead to a landmark proof alongside collaborator Ralf Schindler. Published in the Annals of Mathematics, their work gracefully unites two historically rival axioms, dealing a heavy theoretical blow to one of the most famous mathematical g

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