Breaking Math Podcast

Autumn Phaneuf
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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 Gabriel Hesch, an electrical engineer (host from 2016-2024) with a passion for mathematical clarity, the show is dedicated to uncovering the mathematical structures behind science, engineering, technology, and the systems that shape 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—whether it’s into the strange beauty of chaos theory, the ethical dilemmas of AI, the deep structures of biological evolution, or the thermodynamics of black holes. Along the way, Autumn and Gabriel interview leading thinkers and working scientists from across the spectrum: computer scientists, quantum physicists, chemists, philosophers, neuroscientists, and more. But this isn’t just a podcast about equations—it’s a show about how mathematics influences the way we think, create, build, and understand. Breaking Math pushes back against the idea that STEM belongs behind a paywall or an academic podium. It’s for the curious, the critical, 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? How do we quantify uncertainty in climate models? Can consciousness be described in AI? Why does beauty matter in an equation?Then you’re in the right place. At its heart, Breaking Math is about building bridges—between disciplines, between experts and the public, and between the abstract world of mathematics and the messy, magnificent reality we live in. With humor, clarity, and deep respect for complexity, Autumn and Gabriel 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

  1. Intelligent Systems: Digital Culture Shock

    19/11/2025 · VIDEO

    Intelligent Systems: Digital Culture Shock

    In this conversation, Dr. Katharina Reinecke explores the intersection of technology and culture, discussing how cultural assumptions shape the design and functionality of technology. She delves into the implications of self-driving cars, the importance of understanding diverse user experiences, and the challenges posed by a predominantly Western perspective in technology development. The discussion highlights the need for greater cultural sensitivity in technology design and the potential consequences of ignoring these differences. Takeaways Technology is not culturally neutral; it reflects the values of its creators. Self-driving cars are based on American commuting assumptions. Cultural differences significantly impact user experience and technology design. Efficiency in technology can undermine social interactions and relationships. WEIRD populations dominate technology research, leading to biased outcomes. Universal design principles often fail when applied globally. Stack Exchange exemplifies individualistic design, contrasting with collectivist values. AI systems must be designed with cultural sensitivity to avoid reinforcing biases.Chapters 00:00 Understanding Digital Culture Shock 03:53 The Challenges of Autonomous Vehicles 06:21 Cultural Assumptions in Technology 08:37 The Impact of AI and Data Bias 10:32 Efficiency vs. Social Interaction in Design 12:14 The Concept of 'Weird' Populations 14:24 Cultural Values in Digital Platforms 21:53 The Simplicity of Design and Its Cultural Impact 22:51 Efficiency vs. Community: The Stack Exchange Debate 25:41 Adapting Global Platforms to Local Norms 31:52 The Implications of AI and Digital Infrastructure 34:34 Recognizing Cultural Bias in Technology Design 37:42 Technology as CultureFollow Katharina on Twitter, LinkedIn, Bluesky, and find her new book here. You can find Lab in the Wild on Twitter and Bluesky Subscribe to Breaking Math wherever you get your podcasts. Follow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTok Follow Autumn on Twitter, BlueSky, and Instagram Become a guest here email: breakingmathpodcast@gmail.com

    39 min
  2. Who is Francis Crick?

    11/11/2025 · VIDEO

    Who is Francis Crick?

    This conversation delves into the life and legacy of Francis Crick, co-discoverer of the DNA structure. Dr.  Matthew Cobb, the guest, explores Crick's multifaceted personality, his poetic inspirations, collaborative nature, and his later pursuits in consciousness. The discussion also touches on the controversies surrounding his work, particularly regarding the contributions of Rosalind Franklin, and reflects on Crick's complex character, blending modern scientific thought with outdated socio-political ideas. Takeaways Crick's story is often simplified to his DNA discovery. He had a deep appreciation for poetry and its connection to science. Collaboration was a key aspect of Crick's success. His early life was marked by average academic performance. Crick's transition to biology was driven by a desire to understand life. The discovery of DNA was a complex, collaborative effort. Controversies exist regarding the ethics of scientific discovery. Crick's later work focused on the nature of consciousness. He had a unique blend of intuition and logical thinking. Crick's outdated socio-political views contrast with his scientific modernity.Chapters 00:00 The Legacy of Francis Crick 01:13 Introduction to Matthew Cobb and His Book 03:43 The Influence of Francis Crick 06:19 Crick's Unique Approach to Science 07:19 Crick's Early Life and Self-Perception 10:04 The Impact of Naval Service on Crick 12:34 Crick's Transition to Biology 15:06 The Role of Schrodinger's Work 17:26 The Dynamic Between Watson and Crick 20:13 The Discovery of the Double Helix 23:02 The Controversy of Rosalind Franklin's Contribution 28:23 The Diplomatic Row and Pauling's Mistake 29:38 The Discovery of DNA's Structure 34:31 Crick and Brenner's Collaboration 38:41 Crick's Exploration of Consciousness 43:03 Crick's Complex LegacyFollow Matthew on Twitter, and find his new book here. Subscribe to Breaking Math wherever you get your podcasts. Follow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTok Follow Autumn on Twitter, BlueSky, and Instagram Become a guest here email: breakingmathpodcast@gmail.com

    50 min
  3. Mathematics and Humanity: The Untold Stories of the Great Math War

    04/11/2025 · VIDEO

    Mathematics and Humanity: The Untold Stories of the Great Math War

    This conversation explores the intersection of mathematics and human experience, focusing on historical figures, philosophical debates, and the ethical implications of scientific progress. Jason Socrates Bardi discusses his book 'The Great Math War', which delves into the personal stories of mathematicians, the challenges of teaching math, and the relevance of these themes in today's world, particularly in the context of AI and misinformation. Takeaways The personal experiences of mathematicians shape their work. Philosophical clashes in mathematics reflect broader societal issues. Hilbert's optimism about problem-solving parallels today's AI discussions. Historical context is crucial in understanding mathematical developments. Ethics in science must be prioritized to avoid past mistakes. There are limits to human knowledge that we must acknowledge. Mathematics is a fundamental human skill, not just for the gifted. The future of mathematics will be influenced by AI and technology. Understanding historical fallacies can inform current practices. Kovalevsky's story is an inspiring example of overcoming barriers.Chapters 00:00 The Personal Journey Behind The Great Math War 03:08 The Philosophical Clash in Mathematics 05:13 The Great Math War: Key Players and Their Missions 07:38 The Foundations of Mathematics: Paradoxes and Theories 08:55 The Role of Historical Context in Mathematics 10:00 The Human Side of Mathematics: Stories of Resilience 12:36 Ethics in Science and the Modern Age 14:56 The Future of Mathematics and Technology 25:32 The Spectrum of Idealism and Realism 26:13 Understanding Ignoramus et Ignoramnibus 29:04 Neuroscience and the Evolution of Mathematics 33:12 The Future of AI and Consciousness 35:31 Fallacies and Paradoxes in Mathematics 38:31 The Legacy of Sofia Kovalesky 43:10 The Great Math War: A Reflection on Logic and HumanityFollow Jason on LinkedIn, Twitter, and find his new book here. Subscribe to Breaking Math wherever you get your podcasts. Follow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTok Follow Autumn on Twitter, BlueSky, and Instagram Become a guest here email: breakingmathpodcast@gmail.com

    44 min
  4. The Future of Physics: Portals to a New Reality

    28/10/2025 · VIDEO

    The Future of Physics: Portals to a New Reality

    In this conversation, Dr.Vlatko Vedral discusses the complexities of quantum mechanics and its implications for our understanding of reality. He explores the stagnation in physics, the importance of thought experiments, and the potential for new discoveries through technological advancements. Vlatko emphasizes the need for adventurous research and the role of quantum information in shaping future scientific inquiries. He also speculates on the transformative possibilities of quantum technologies and their impact on human perception. Takeaways Quantum mechanics challenges our understanding of reality. The observer effect is central to quantum mechanics. Physics has been stagnant with two main theories for over a century. Technological advancements are paving the way for new experiments. Thought experiments can guide genuine scientific discovery. The integration of quantum mechanics and general relativity is crucial. Quantum information theory expands our understanding of computation. New theories may emerge from the intersection of quantum mechanics and technology. The perception of reality may evolve with quantum technologies. Funding and research approaches need to be more adventurous.Chapters 00:00 Exploring Quantum Reality 04:48 The Stagnation of Physics 08:41 The Clouds of Uncertainty 12:46 Thought Experiments and Their Power 16:01 Five Experiments for the Future 24:54 Technological Feasibility of Experiments 28:27 Quantum Theory and Its Foundations 34:08 The Role of Quantum Information 39:35 Imagining New Realities Through PortalsFollow Vlatko on LinkedIn, Substack, and find their new book here. Subscribe to Breaking Math wherever you get your podcasts. Follow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTok Follow Autumn on Twitter, BlueSky, and Instagram Become a guest here email: breakingmathpodcast@gmail.com

    49 min
  5. AI vs Human Intelligence: The Emergent Mind

    25/10/2025 · VIDEO

    AI vs Human Intelligence: The Emergent Mind

    In this conversation, Drs. Gaurav Suri and Jay Mcclelland delves into the intricate relationship between artificial intelligence and human cognition, exploring similarities and differences, the evolution of AI from rule-based systems to learning models, and the concept of emergence in both fields. The discussion also touches on the efficiency of human learning compared to AI, the role of consciousness, and the ethical implications of AI technology. Takeaways AI and human intelligence share similarities in neural network frameworks. Artificial systems lack the goal-directed nature inherent in humans. Humans learn more efficiently than current AI systems. Neural networks can adapt to language nuances better than rule-based systems. Emergence explains how collective intelligence arises from individual components. Memory in neural networks is represented through connections, not individual units. Mathematics is both invented and discovered, shaped by human needs. Understanding consciousness is crucial for AI development. Human misuse of AI poses significant risks. Recognizing ourselves as processes can foster empathy and morality.Chapters 00:00 Introduction and Backgrounds 01:00 AI vs Human Mind: Similarities and Differences 03:32 The Shift from Rule-Based AI to Learning Systems 09:07 Emergence in Cognition: Ant Colonies and Intelligence 15:25 Distributed Representations and Memory Storage 23:53 The Nature of Memory and Its Malleability 25:40 Emergence of Mathematical Concepts 29:50 The Invention vs. Discovery Debate in Mathematics 32:19 Learning Mechanisms: Brain vs. AI 36:48 Consciousness: Function and Implications 41:13 AI Risks: Human Misuse vs. AI Autonomy 43:45 Living with Emergence: Understanding Ourselves and Others 48:22 Exploring the Emergent MindFollow Gaurav Suri on LinkedIn. Follow Jay McClelland on Twitter and find their new book here. Subscribe to Breaking Math wherever you get your podcasts. Follow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTok Follow Autumn on Twitter, BlueSky, and Instagram Become a guest here email: breakingmathpodcast@gmail.com

    50 min
  6. The Giant Leap

    21/10/2025 · VIDEO

    The Giant Leap

    In this conversation, Dr. Caleb Scharf discusses the evolution of space exploration, drawing parallels to historical figures like Darwin. He explores the implications of humanity's expansion into space, the challenges of microgravity, and the allure of Mars as a potential habitat. Scharf emphasizes the interconnectedness of space exploration with our daily lives and the future of humanity as a dispersed entity across the solar system. Sign up for Writing Math: https://http://www.fields.utoronto.ca/activities/25-26/writing-math AD| To sign up for The Curiousity Box go to http://curiositybox.com/BreakingMath and get 25% off your first box with breakmath25 Takeaways Humanity's move into space is a new phase of evolution. Space exploration is a continuation of life's four billion year experiment. Microgravity affects human physiology in profound ways. Mars presents both challenges and opportunities for human exploration. Lagrange points offer stable locations for spacecraft in orbit. The moon's composition is closely related to Earth's. Understanding space exploration is crucial for our future as a species.Chapters 00:00 The Concept of Dispersal in Space Exploration 04:54 The Universe's Self-Awareness and Its Implications 08:32 Darwin's Influence on Space Exploration 14:14 Historical Figures in Science and Their Impact 21:59 The Moon Landing: A Complicated History 28:14 Challenges in Spacecraft Navigation 30:13 Effects of Microgravity on Humans and Animals 33:50 The Drive for Interplanetary Exploration 36:39 Understanding Lagrange Points 42:06 Life on Other Planets: Mars and Beyond 48:40 The Future of Humanity in Space 54:41 The Essence of Curiosity 54:57 Embracing the UnknownFollow Caleb Scarf on Twitter, Website, and find his new book here. Subscribe to Breaking Math wherever you get your podcasts. Follow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTok Follow Autumn on Twitter, BlueSky, and Instagram Become a guest here email: breakingmathpodcast@gmail.com

    57 min
  7. Dinosaurs with Rachel Ignotofsky

    14/10/2025 · VIDEO

    Dinosaurs with Rachel Ignotofsky

    In this engaging conversation, Rachel Ignotofski discusses her new book Dinosaurs, exploring the fascination with these ancient creatures, the impact of mass extinctions, and the evolution of life on Earth. She highlights the importance of paleontology, the legacy of Mary Anning, and the artistic choices made in illustrating the book. The discussion also touches on the audience for the book, quirky anecdotes from paleontological history, and the significance of understanding deep time in relation to our current ecosystem. AD| To sign up for The Curiousity Box go to http://curiositybox.com/BreakingMath and get 25% off your first box with breakmath25 Takeaways Most of us fall in love with dinosaurs around the age of six. Dinosaurs and birds evolved together, sharing the Earth. There have been five major mass extinctions in Earth's history. Nature always bounces back after mass extinctions. Paleontology is constantly evolving with new discoveries. Mary Anning was a pioneer in paleontology, often overlooked. Dinosaurs were not just big lizards; they were diverse and complex. The Cambrian explosion marked a significant evolutionary milestone.Chapters 00:00 The Fascination with Dinosaurs 03:42 Mass Extinctions and Geological Time 06:16 Paleontology and Misconceptions 09:08 Mary Anning: The Mother of Paleontology 11:53 Evolution of Dinosaurs and Marine Reptiles 13:06 The Evolution of Whales 13:42 The Cambrian Explosion and Ancient Creatures 16:12 Favorite Time Periods in Prehistory 18:48 The Book's Audience and Its Appeal 19:03 Anecdotes from the Fossil World 21:53 Art and Illustrations in Science 26:11 The Vastness of Earth History 28:21 Upcoming Events and Future ProjectsFollow Rachel Ignotofsky on Twitter, Instagram, Website, and find her new book here. Subscribe to Breaking Math wherever you get your podcasts. Follow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTok Follow Autumn on Twitter, BlueSky, and Instagram Become a guest here email: breakingmathpodcast@gmail.com

    31 min
  8. Charlatans with Quico Toro

    07/10/2025 · VIDEO

    Charlatans with Quico Toro

    In this conversation, Quico discusses the nature of gullibility and the tactics used by charlatans to exploit people's beliefs. He provides insights into various case studies, including astrology and blood types, and highlights notable charlatans like Baba Ramdev and the impact of mega churches. The discussion also covers modern scams in the crypto space and emphasizes the importance of critical thinking and awareness in navigating a world filled with misinformation and exploitation. It's made known that even the smartest scientists can be fooled by charlatans.  Takeaways People are gullible because they care deeply about their beliefs. Charlatans exploit emotional connections to manipulate individuals. Astrology remains popular despite its lack of scientific basis. Baba Ramdev exemplifies a modern charlatan with a yoga empire. Mega churches can exploit vulnerable populations for profit. The crypto space has seen significant charlatanry and scams. Identifying red flags is crucial in protecting oneself from charlatans. The internet allows charlatans to target niche audiences more effectively. Critical thinking is essential in the digital age to avoid exploitation. Understanding one's beliefs can help in recognizing manipulation.Chapters 00:00 Introduction and the Nature of Gullibility 04:25 Understanding Charlatans and Their Tactics 07:29 Case Studies: Astrology and Blood Type Beliefs 09:46 Exploring Notable Charlatans: Baba Ramdev and Others 11:11 The Role of Mega Churches in Exploitation 14:18 Medical Charlatans: Dr. Oz and Dr. Mercola 16:40 The Crypto Grift and Its Impact 21:55 The Legacy of Charlatans: From Alchemy to Crypto 25:07 Identifying Vulnerabilities: The Psychology of Belief 28:53 Case Study: The Rise and Fall of Abraaj 32:05 Future Trends: The Evolution of Charlatanry 34:51 The Impact of Technology on Deception 37:37 Navigating a World of MisinformationFollow Quico Toro on LinkedIn, Substack, and find his new book here. Subscribe to Breaking Math wherever you get your podcasts. Follow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTok Follow Autumn on Twitter, BlueSky, and Instagram Become a guest here email: breakingmathpodcast@gmail.com

    40 min
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About

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 Gabriel Hesch, an electrical engineer (host from 2016-2024) with a passion for mathematical clarity, the show is dedicated to uncovering the mathematical structures behind science, engineering, technology, and the systems that shape 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—whether it’s into the strange beauty of chaos theory, the ethical dilemmas of AI, the deep structures of biological evolution, or the thermodynamics of black holes. Along the way, Autumn and Gabriel interview leading thinkers and working scientists from across the spectrum: computer scientists, quantum physicists, chemists, philosophers, neuroscientists, and more. But this isn’t just a podcast about equations—it’s a show about how mathematics influences the way we think, create, build, and understand. Breaking Math pushes back against the idea that STEM belongs behind a paywall or an academic podium. It’s for the curious, the critical, 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? How do we quantify uncertainty in climate models? Can consciousness be described in AI? Why does beauty matter in an equation?Then you’re in the right place. At its heart, Breaking Math is about building bridges—between disciplines, between experts and the public, and between the abstract world of mathematics and the messy, magnificent reality we live in. With humor, clarity, and deep respect for complexity, Autumn and Gabriel 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

Information

  • Creator
    Autumn Phaneuf
  • Years Active
    2017 - 2025
  • Episodes
    169
  • Rating
    Clean
  • Copyright
    © Copyright Breaking Math
  • Show Website
    Breaking Math Podcast
  • Provider

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