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The Art of Mathematics

Carol Jacoby
Mathematics
Art
Math Education
Kaleidoscope
National Museum Of Mathematics
Quora
Egyptian Fractions
Graph Theory
Online Learning Algorithms
Geometry
Math
Gödel's Incompleteness Theorems
Science
Philosophy
Fractals
Mathematics Education
Artificial Intelligence
Reflection
Symmetry
Davidson Fellowship

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

PublishesMonthlyEpisodes82Founded6 years ago
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MathematicsScience

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Artwork for The Art of Mathematics

Latest Episodes

Joseph Bennish discusses randomness. What is randomness? Is a coin flip random? What about a lot of coin flips? How much can we infer from random processes?

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 musician that r... more

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 of modern li... more

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" that hint ... more

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Recent Guests

Joseph Bennish
Professor emeritus at California State University, Long Beach
California State University, Long Beach
Episode: Randomness: Can You Predict Coin Flips?
Robin Whitty
Former professor of computer science at London South Bank University
Theorem of the Day website
Episode: Theorem of the Day
Ted Dintersmith
Author of Aftermath, The Life-Changing Math, That Schools Won't Teach You
Author and Education Advocate
Episode: Life-Changing Math
Josh Cole
Associate Professor of Mathematics
Benedictine College
Episode: Zeno's Paradox: Is Motion Possible?
Aris Winger
Associate Professor of Mathematics at Georgia Gwinnett College; Executive Director of the National Association of Mathematicians
Georgia Gwinnett College; National Association of Mathematicians
Episode: Math as it Should Be
Beyza Aslan
Associate Professor of Mathematics at the University of North Florida
University of North Florida
Episode: Crocheting Mathematics
Ben Cornish
Podcaster for The Mathematicians Podcast; high school teacher
The Mathematicians Podcast
Episode: Pythagorean Triples and Some New Conjectures
Joel David Hamkins
O'Hareff Professor of Logic at the University of Notre Dame
University of Notre Dame
Episode: Proofs and Buckets of Fish
Krystal Taylor
Associate Professor of Math at Ohio State University
Ohio State University
Episode: Fractals: Simple rules, complex shapes

Host

Carol Jacoby
Host of The Art of Mathematics; focuses on making advanced math accessible and engaging; involvement spans education and outreach.

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Talking Points

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Randomness: Can You Predict Coin Flips?
Q: If coin flipping isn't random, is there anything out there that is really random?
Bennish calls it an intriguing question, and they agree to return to it in a future conversation.
Randomness: Can You Predict Coin Flips?
Q: Is coin flipping truly random?
Bennish says people experience a coin flip as random because they cannot measure its initial conditions and motion precisely enough. Modern cameras and a standard computer can predict its outcome.
Life-Changing Math
Q: Earlier you talk about what you would teach a class if you could redesign it. What are those ideas that make or break our lives that you would bring into math education?
The core is focusing on concepts that empower reasoning in everyday life—how to estimate, assess probabilities, understand statistics and data, and recognize how marginal changes affect outcomes—so students can navigate information, measure quality of life changes, and engage civically with a more informed mindset.
Life-Changing Math
Q: The reason I wanted to talk to you is because your book addresses something that math isn't about memorizing stuff, it's about thinking. What is the core idea of 'life-changing math' you would teach in a class?
Ted explains eight powerful chapters—estimation, prediction, moneyball statistics, probability beyond simple heads and tails, optimization, algorithms, decisions, and game theory—with six to ten impactful examples for each. He also warns about a 'stink bomb' chapter that tends to be overlooked, emphasizing that the real value lies in teaching the ideas behind the math so it changes how you think and act in life.
Zeno's Paradox: Is Motion Possible?
Q: I'm interested in paradoxes because they test your knowledge and your assumptions. And I wanted to ask you, you were going to talk about a famous paradox.
The discussion centers on Zeno's paradoxes of motion, emphasizing how they probe our beliefs about infinity and motion. The guest explains how Aristotle and later mathematicians reframed these paradoxes using concepts like potential infinity, limits, and the continuous nature of the number line to show that motion and distance can be completed despite infinite subdivisions.

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Frequently Asked Questions About The Art of Mathematics

What is The Art of Mathematics about and what kind of topics does it cover?

This show leans into deep mathematical ideas presented through accessible conversations with professors, educators, and researchers. Episodes often connect abstract concepts—such as paradoxes, Euler's identity, fractals, and number theory—to real teaching, learning, and intuition, making advanced math approachable without requiring a formal background. A distinctive flavor is the emphasis on math education, equity, and outreach, alongside rigorous explorations of proofs, geometry, and classical problems. Listeners likely include math enthusiasts, educators, students, and professionals who enjoy seeing how mathematical ideas connect to teaching, culture, and problem-solving in creative ways.

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Which podcasts are similar to The Art of Mathematics?

These podcasts share a similar audience with The Art of Mathematics:

1. The Numberphile Podcast
2. Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas
3. The Joy of Why
4. The Quanta Podcast
5. Daniel and Kelly’s Extraordinary Universe

How many episodes of The Art of Mathematics are there?

The Art of Mathematics launched 6 years ago and published 82 episodes to date. You can find more information about this podcast including rankings, audience demographics and engagement in our podcast database.

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What guests have appeared on The Art of Mathematics?

Recent guests on The Art of Mathematics include:

1. Joseph Bennish
2. Robin Whitty
3. Ted Dintersmith
4. Josh Cole
5. Aris Winger
6. Beyza Aslan
7. Ben Cornish
8. Joel David Hamkins

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