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    Mathematics

    Breaking Math Podcast

    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, operations research, and applied mathematics, and Noah Giansiracusa, a mathematician and leading voice in algorithmic literacy and technology ethics, the show is dedicated to uncovering the mathematical structures behind science, technology, and the systems shaping our future.

    What began as a conversation about math as a pure and elegant discipline has evolved into a platform for bold, interdisciplinary dialogue. Each episode of Breaking Math takes listeners on an intellectual journey—into the strange beauty of chaos theory, the ethical dilemmas of AI and algorithms, the hidden math of biology and evolution, or the physics governing black holes and the cosmos. Along the way, Autumn and Noah speak with working scientists, researchers, and thinkers across fields: computer scientists, physicists, chemists, engineers, economists, philosophers, and more.

    But this isn’t just a podcast about equations. It’s a show about how mathematics shapes the way we think, decide, build, and understand the world. Breaking Math pushes back against the idea that STEM belongs behind a paywall or an academic podium. It’s for the curious, the critical, and the creative—for anyone who believes that ideas should be rigorous, accessible, and infused with wonder.

    If you’ve ever wondered:

    • What’s the math behind machine learning and modern algorithms?
    • How do we quantify uncertainty in climate and economic models?
    • Can intelligence or consciousness be meaningfully described in AI?
    • Why does beauty matter in an equation?

    You’re in the right place.

    At its heart, Breaking Math is about building bridges—between disciplines, between experts and the public, and between abstract mathematics and the messy, magnificent reality we live in. With humor, clarity, and deep respect for complexity, Autumn and Noah invite you to rethink what math can be—and how it can help us shape a better future.

    Listen wherever you get your podcasts.

    Website: https://breakingmath.io

    Linktree: https://linktr.ee/breakingmathmedia

    Email: breakingmathpodcast@gmail.com

    Advertise

    Copyright: © Copyright Breaking Math

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    Latest Episodes:
    Black Holes: The Abyss Part 2 Aug 06, 2024
    Show notes

    Happy Summer! We have another week of our summer break after this episode from 2018. We will be back shortly with more content and surprises!
    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-boggling of all, it seems at first glance that they have the ability to erase information. So what is black hole thermodynamics? How does it interact with the fabric of space? And what are virtual particles?
    Keywords: Black holes, gravity, universe, physics, ai, machine learning, education, statistics, engineering, humanity

    Subscribe to Breaking Math wherever you get your podcasts.

    Become a patron of Breaking Math for as little as a buck a month

    Follow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTok

    Follow Autumn on Twitter and Instagram

    Follow Gabe on Twitter.

    Become a guest here

    email: breakingmathpodcast@gmail.com


    Black Holes: The Abyss Part 1 Jul 30, 2024
    Show notes

    Happy Summer! Check out part one of our three part series on black holes from 2018. Enjoy!
    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 are not exotic: they form regularly in our universe, and their role in the intricate web of existence that is our universe is as valid as the laws that result in our own humanity. So what are black holes? How can they have information? And how does this relate to the edge of the universe?
    Keywords: Black holes, gravity, universe, physics, ai, machine learning, education, statistics, engineering, humanity

    Subscribe to Breaking Math wherever you get your podcasts.

    Become a patron of Breaking Math for as little as a buck a month

    Follow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTok

    Follow Autumn on Twitter and Instagram

    Follow Gabe on Twitter.

    Become a guest here

    email: breakingmathpodcast@gmail.com


    What are Journal Rankings? The basics: a minisode. Jul 23, 2024
    Show notes

    In this minisode, Autumn explores the basics in the world of journal rankings and metrics. She discusses the importance of journal rankings and how they are determined, focusing on metrics like impact factor, mathematical citation quotient (MCQ), and publication power approach (PPA). She explains how these metrics provide insights into a journal's influence and performance, but also emphasizes the need for a comprehensive evaluation of research beyond just metrics.

    Keywords: journal rankings, journal metrics, impact factor, mathematical citation quotient, publication power approach, research evaluation, math, physics, ai, machine learning, education, publishing, academic journals

    Subscribe to Breaking Math wherever you get your podcasts.

    Become a patron of Breaking Math for as little as a buck a month

    Follow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTok

    Follow Autumn on Twitter and Instagram

    Follow Gabe on Twitter.

    Become a guest here

    email: breakingmathpodcast@gmail.com


    Why Machines Learn: The Math Behind AI Jul 16, 2024
    Show notes

    In this episode Autumn and Anil Ananthaswamy discuss the inspiration behind his book “Why Machines Learn” and the importance of understanding the math behind machine learning. He explains that the book aims to convey the beauty and essential concepts of machine learning through storytelling, history, sociology, and mathematics. Anil emphasizes the need for society to become gatekeepers of AI by understanding the mathematical basis of machine learning. He also explores the history of machine learning, including the development of neural networks, support vector machines, and kernel methods. Anil highlights the significance of the backpropagation algorithm and the universal approximation theorem in the resurgence of neural networks.

    Keywords: machine learning, math, inspiration, storytelling, history, sociology, gatekeepers, neural networks, support vector machines, kernel methods, backpropagation algorithm, universal approximation theorem, AI, ML, physics, mathematics, science

    You can find Anil Ananthaswamy on Twitter @anilananth and his new book “Why Machines Learn”
    Subscribe to Breaking Math wherever you get your podcasts.

    Become a patron of Breaking Math for as little as a buck a month

    Follow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTok

    Follow Autumn on Twitter and Instagram

    Follow Gabe on Twitter.

    Become a guest here

    email: breakingmathpodcast@gmail.com


    The Intersection of Mathematics and Democracy Jul 09, 2024
    Show notes

    This discussion Autumn and Gabe delves into Ismar Volic's personal background and inspiration for writing the book, “Making Democracy Count” as well as the practical and theoretical aspects of voting systems. Additionally, the conversation explores the application of voting systems to everyday decision-making and the use of topological data analysis in understanding societal polarization. The conversation covers a wide range of topics, including data visualization, gerrymandering, electoral systems, and the intersection of mathematics and democracy. Volic, shares insights on the practical implications of implementing mathematical improvements in electoral systems and the legal and constitutional hurdles that may arise. He also discusses the importance of educating oneself about the quantitative underpinnings of democracy and the need for interdisciplinary discussions that bridge mathematics and politics.

    Keywords: math podcast, creativity, mascot, background, Matlab, ranked choice voting, elections, author's background, inspiration, voting systems, topological data analysis, societal polarization, mathematics, democracy, data visualization, gerrymandering, electoral systems, interdisciplinary discussions, practical implications, legal hurdles, constitutional considerations

    You can find Ismar Volic on Twitter and LinkedIn @ismarvolic. Please go check out the Institute for Mathematics and Democracy and Volic’s new book “Making Democracy Count”
    Subscribe to Breaking Math wherever you get your podcasts.

    Become a patron of Breaking Math for as little as a buck a month

    Follow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTok

    Follow Autumn on Twitter and Instagram

    Follow Gabe on Twitter.

    Become a guest here

    email: breakingmathpodcast@gmail.com


    Math Lounge: Celebrating 101 Episodes Jul 02, 2024
    Show notes

    In this conversation, Gabe and Autumn celebrate the 101st episode of Breaking Math and discuss the evolution of the podcast. They highlight the importance of creativity in teaching mathematics and share their plans to expand Breaking Math into Breaking Math Media. They also discuss the history of physics and the big questions that inform the podcast. The hosts express their desire to collaborate with listeners and explore practical applications of math in different fields. They also mention books like 'A Quantum Story' and 'Incomplete Nature' that delve into the mysteries of quantum mechanics and consciousness. The hosts highlight the unique and creative nature of their podcast, inviting listeners to join them in the Math Lounge, a metaphorical nightclub where math and creativity intersect.
    Keywords: Breaking Math, podcast, creativity, mathematics, Breaking Math Media, physics, history, quantum mechanics, book discussion, double-slit experiment, quantum mechanics, interdisciplinary discussions, machine learning, neuroscience, gamification of math, collaboration, practical applications, consciousness, Math Lounge

    Subscribe to Breaking Math wherever you get your podcasts.

    Become a patron of Breaking Math for as little as a buck a month

    Follow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube

    Follow Autumn on Twitter and Instagram

    Follow Gabe on Twitter.

    email: breakingmathpodcast@gmail.com


    Minisode: Absolutely Nothing Jun 18, 2024
    Show notes

    In this episode of Breaking Math, Autumn and Gabe explore the concept of nothingness and its significance in various fields. They discuss the philosophical, scientific, mathematical, and literary aspects of nothingness, highlighting its role in understanding reality and existence. They mention books like 'Incomplete Nature' by Terence Deacon and 'Zero: The Biography of a Dangerous Idea' by Charles Seife, which delve into the concept of absence and zero. The episode concludes by emphasizing the complexity and versatility of nothingness, inviting listeners to think deeper about its implications.
    Keywords: nothingness, philosophy, science, mathematics, literature, reality, existence, absence, zero
    Subscribe to Breaking Math wherever you get your podcasts.

    Become a patron of Breaking Math for as little as a buck a month

    Follow Breaking Math on Twitter, Instagram, LinkedIn, Website

    Follow Autumn on Twitter and Instagram

    Follow Gabe on Twitter.
    Have suggestions or want to come on the show? Fill out the form here.

    email: breakingmathpodcast@gmail.com


    Can We Survive on Mars? Hot Tips with Zach Weinersmith (Part 2) May 28, 2024
    Show notes

    In this conversation, Autumn Phaneuf interviews Zach Weinersmith, a cartoonist and writer, about the feasibility and implications of space settlement. They discuss the challenges and misconceptions surrounding space colonization, including the idea that it will make us rich, mitigate war, and make us wiser. They explore the potential of the moon and Mars as settlement options, as well as the concept of rotating space stations. They also touch on the physiological effects of space travel and the need for further research in areas such as reproduction and ecosystem design. The conversation explores the challenges and implications of human settlement in space. It discusses the lack of data on the long-term effects of space travel on the human body, particularly for women. The conversation also delves into the need for a closed-loop ecosystem for sustainable space settlement and the legal framework surrounding space exploration and resource extraction. The main takeaways include the importance of addressing reproductive and medical challenges, the need for a better legal regime, and the debunking of misconceptions about space settlement.

    Follow Zach Weinersmith on his website and Twitter

    Subscribe to Breaking Math wherever you get your podcasts.

    Become a patron of Breaking Math for as little as a buck a month

    Follow Breaking Math on Twitter, Instagram, LinkedIn, Website

    Follow Autumn on Twitter and Instagram

    Folllow Gabe on Twitter.
    Have suggestions or want to come on the show? Fill out the form here.

    email: breakingmathpodcast@gmail.com

    A City on Mars, Keywords space settlement, feasibility, challenges, misconceptions, moon, Mars, rotating space stations, reproduction, ecosystem design, space settlement, human reproduction, closed-loop ecosystem, space law, resource extraction, logistics, math.


    Can We Survive on Mars? Hot Tips with Zach Weinersmith May 21, 2024
    Show notes

    In this conversation, Autumn Phaneuf and Zach Weinersmith discusses his new book, A City on Mars, which takes a humorous look at the challenges of building a Martian society. He explores the misconceptions and myths surrounding space settlement and the feasibility of colonizing Mars. He argues that space is unlikely to make anyone rich and that the idea that space will mitigate war is unsupported. He also discusses the potential benefits and limitations of settling on the Moon and Mars, as well as the technical challenges involved.

    Follow Zach Weinersmith on his website and Twitter

    Subscribe to Breaking Math wherever you get your podcasts.

    Become a patron of Breaking Math for as little as a buck a month

    Follow Breaking Math on Twitter, Instagram, LinkedIn, Website

    Follow Autumn on Twitter and Instagram

    Folllow Gabe on Twitter.

    email: breakingmathpodcast@gmail.com

    A City on Mars, space settlement, Mars colonization, misconceptions, myths, feasibility, space myths, space economics, war, Moon settlement, technical challenges, logistics, math.


    What's the Use? Interview with Professor Ian Stewart May 14, 2024
    Show notes

    Welcome to another engaging episode of the Breaking Math Podcast! Today's episode, titled "What is the Use?," features a fascinating conversation with the renowned mathematician and author, Professor Ian Stewart. As Professor Stewart discusses his latest book "What's the Use? How Mathematics Shapes Everyday Life," we dive deep into the real-world applications of mathematics that often go unnoticed in our daily technologies, like smartphones, and their unpredictable implications in various fields.

    We'll explore the history of quaternions, invented by William Rowan Hamilton, which now play a critical role in computer graphics, gaming, and particle physics. Professor Stewart will also shed light on the non-commutative nature of quaternions, mirroring the complexities of spatial rotations, and how these mathematical principles find their correspondence in the natural world.

    Furthermore, our discussion will encompass the interconnectivity within mathematics, touching upon how algebra, geometry, and trigonometry converge to paint a broader picture of this unified field. We also discuss the intriguing concept of "Fearful Symmetry" and how symmetrical and asymmetrical patterns govern everything from tiger stripes to sand dunes.

    With references to his other works, including "Professor Stewart's Cabinet of Mathematical Curiosities" and "The Science of Discworld," Professor Stewart brings an element of surprise and entertainment to the profound impact of mathematics on our understanding of the world.

    So stay tuned as we unlock the mysteries and the omnipresent nature of math in this thought-provoking episode with Professor Ian Stewart!


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