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Science

The Art of Mathematics

by Carol Jacoby
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Latest episodes

  • Theorem of the Day

    September 24, 2026 · 23 min

    Robin Whitty hosts the website theoremoftheday.org, which presents a concise poster about a different theorem each day, with explanation, graphics, and links. He has been doing this for 21 years. Theorems include one by an avant-garde…

  • Life-Changing Math

    August 26, 2026 · 17 min

    Ted Dintersmith, author of Aftermath: The Life-Changing Math that Schools Won't Teach You, argues that much of what we learn in math can be outsourced to machines. That frees people to understand the mathematical ideas that underlie much…

  • Zeno's Paradox: Is Motion Possible?

    July 22, 2026 · 16 min

    Josh Cole discussed Zeno's paradox that says motion is not possible since you must go half-way, and then half of the remaining distance, and so on, infinitely. Aristotle and others struggled with this, using ideas like "potential infinity"…

  • The Most Beautiful Formula

    June 27, 2026 · 17 min

    Joseph Bennish discusses Euler’s formula, which involves pi, e, the imagery i, 0 and 1, a beautiful formula that unites disparate types of numbers. We can think of e raised to an exponent as compound interest or a function with a…

  • Math as it Should Be

    May 27, 2026 · 17 min

    Aris Winger, Math Professor and Executive Director of the National Association of Mathematicians, has experienced first hand how math can save students' lives by uplifting them. Our education system can move beyond workbooks and help…

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  • Crocheting Mathematics

    April 22, 2026 · 13 min

    Beyza Aslan, Associate Professor of Math at the University of North Florida, crochets mathematics. This turns abstractions, such as hyperbolic geometry, into something that can be touched, felt, manipulated, and experimented with. Her work…

  • Pythagorean Triples and Some New Conjectures

    March 25, 2026 · 20 min

    Ben Cornish, host of The Mathematicians Podcast, discusses Pythagorean triples, integers that can be the sides of a right triangle. There are infinitely many primitive triples, as he proves. This concept has been around even before…

  • Proofs and Buckets of Fish

    February 25, 2026 · 15 min

    Joel David Hamkins, author of Proof and the Art of Mathematics, presents the game Buckets of Fish, which seemingly will go on forever. Yet he presents a proof that it will always come to an end. In fact, he proves it using contradiction…

  • Fractals: Simple rules, complex shapes

    January 28, 2026 · 15 min

    Krystal Taylor, Associate Professor of Mathematics at Ohio State University, discussed the surprising characteristics of fractals, "infinity in a box." They may have fractional dimension, which varies depending on how it's measured. An…

  • The Many Facets of Math

    April 23, 2025 · 16 min

    Alon Amit addresses the various facets of mathematics. Is it an art or a science? Both? Neither? Is it invented or discovered? Why is math that's developed for purely aesthetic reasons so often a useful tool for the real world? He likes…

  • Will AI Replace Mathematicians?

    March 26, 2025 · 20 min

    Alon Amit, prolific Quora math answerer, discusses how Artificial Intelligence might change the role of the mathematician. AI will make mathematics more efficient but it can't do math in a deep sense at present. It can't perform logical…

  • The National Museum of Mathematics

    February 26, 2025 · 18 min

    Cindy Lawrence is the Director and CEO of the National Museum of Mathematics in New York City. She and a former math professor built it up from a grass-roots museum started by math teachers. The Museum, soon to move into a 30,000 square…

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About the show

Conversations, explorations, conjectures solved and unsolved, mathematicians and beautiful mathematics. No math background required.