Breaking Math Podcast
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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 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
181 Episodes
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SummaryBrain Organelles, A.I. and Defining Intelligence in Nature- In this episode, we continue our fascinating interview with GT, a science content creator on TikTok and YouTube known for their captivating - and sometimes disturbing science content. GT can be found on the handle ‘@bearBaitOfficial’ on most social media channels. In this episode, we resume our discussion on Brain Organelles - which are grown from human stem cells - how they are being used to learn about disease, how they may be integrated in A.I. as well as eithical concerns with them. We also ponder what constitutes intelligence in nature, and even touch on the potential risks of AI behaving nefariously. You won't want to miss this thought-provoking and engaging discussion.30% Off ZenCastr DiscountUse My Special Link to save e 30% Off Your First Month of Any ZenCastr Paid Plan
Join Sofia Baca and her guests Millicent Oriana from Nerd Forensics and Arianna Lunarosa as they discuss energy.The sound that you're listening to, the device that you're listening on, and the cells in both the ear you're using to listen and the brain that understands these words have at least one thing in common: they represent the consumption or transference of energy. The same goes for your eyes if you're reading a transcript of this. The waves in the ears are pressure waves, while eyes receive information in the form of radiant energy, but they both are still called "energy". But what is energy? Energy is a scalar quantity measured in dimensions of force times distance, and the role that energy plays depends on the dynamics of the system. So what is the difference between potential and kinetic energy? How can understanding energy simplify problems? And how do we design a roller coaster in frictionless physics land?[Featuring: Sofia Baca; Millicent Oriana, Arianna Lunarosa]This episode is distributed under a Creative Commons Attribution-ShareAlike 4.0 International License. Full text here: https://creativecommons.org/licenses/by-sa/4.0/
An interview with Dr. Sabine Hossenfelder about her second book Existential Physics. Sabine is host of the famous youtube show Science with Sabine.
The world around us is a four-dimensional world; there are three spatial dimensions, and one temporal dimension. Many of these objects emit an almost unfathomable number of photons. As we developed as creatures on this planet, we gathered the ability to sense the world around us; and given the amount of information represented as photons, it is no surprise that we developed an organ for sensing photons. But because of the amount of photons that are involved, and our relatively limited computational resources, it is necessary to develop shortcuts if we want to simulate an environment in silico. So what is raytracing? How is that different from what happens in games? And what does Ptolemy have to do with 3D graphics? All of this and more on this episode of Breaking Math.
Physical objects are everywhere, and they're all made out of molecules, and atoms. However, the arrangement and refinement of these atoms can be the difference between a computer and sand, or between a tree and paper. For a species as reliant on tool use, the ability to conceieve of, design, create, and produce these materials is an ongoing concern. Since we've been around as humans, and even before, we have been material scientists in some regard, searching for new materials to make things out of, including the tools we use to make things. So what is the difference between iron and steel? How do we think up new things to make things out of? And what are time crystals? All of this and more on this episode of Breaking Math.This episode is released under a Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) license. More information here: https://creativecommons.org/licenses/by-nc/4.0/[Featuring: Sofía Baca, Gabriel Hesch; Taylor Sparks]
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?
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?
In the United States, the fourth of July is celebrated as a national holiday, where the focus of that holiday is the war that had the end effect of ending England’s colonial influence over the American colonies. To that end, we are here to talk about war, and how it has been influenced by mathematics and mathematicians. The brutality of war and the ingenuity of war seem to stand at stark odds to one another, as one begets temporary chaos and the other represents lasting accomplishment in the sciences. Leonardo da Vinci, one of the greatest western minds, thought war was an illness, but worked on war machines. Feynman and Von Neumann held similar views, as have many over time; part of being human is being intrigued and disgusted by war, which is something we have to be aware of as a species. So what is warfare? What have we learned from refining its practice? And why do we find it necessary?
The fabric of the natural world is an issue of no small contention: philosophers and truth-seekers universally debate about and study the nature of reality, and exist as long as there are observers in that reality. One topic that has grown from a curiosity to a branch of mathematics within the last century is the topic of cellular automata. Cellular automata are named as such for the simple reason that they involve discrete cells (which hold a (usually finite and countable) range of values) and the cells, over some field we designate as "time", propagate to simple automatic rules. So what can cellular automata do? What have we learned from them? And how could they be involved in the future of the way we view the world?
The spectre of disease causes untold mayhem, anguish, and desolation. The extent to which this spectre has yielded its power, however, has been massively curtailed in the past century. To understand how this has been accomplished, we must understand the science and mathematics of epidemiology. Epidemiology is the field of study related to how disease unfolds in a population. So how has epidemiology improved our lives? What have we learned from it? And what can we do to learn more from it?
Mathematics quietly shapes some of the most important decisions in public life, from redistricting and congressional apportionment to federal research funding and AI policy. In this episode, Autumn and Noah speak with Dr. Karen Saxe, Senior Vice President of Government Relations at the American Mathematical Society, about how mathematical ideas influence representation, fairness, education, and the future of research. From gerrymandering and geometric compactness to life inside the U.S. Senate and the growing policy debates around AI, Karen reveals how deeply math is woven into the systems that govern everyday life.Chapters00:00 Introduction to the Conversation01:15 The Hot Tea in DC01:24 Gerrymandering and Mathematics03:42 Understanding Gerrymandering and Redistricting08:07 The Role of Mathematicians in Politics12:19 Experiences in the Senate with Al Franken19:32 Government Relations and the Role of Mathematics23:01 The Impact of AI on Mathematics and Policy28:41 Community Readiness for AI Transformations29:22 Diversity in Education and Its Challenges29:40 Bridging Mathematics and Politics29:58 Career Pathways: Academia to PolicyFollow Karen Saxe onLinkedIn (https://www.linkedin.com/in/karen-saxe-5015038a/)Website (https://www.ams.org/government)Follow Breaking Math on Substack (https://breakingmath.substack.com/)Twitter (https://x.com/breakingmathpod)Instagram (https://www.instagram.com/breakingmathmedia/)Bluesky (https://bsky.app/profile/breakingmath.bsky.social)Website (https://www.breakingmath.io/)YouTube (https://www.youtube.com/@BreakingMathPod)Follow Noah onInstagram (https://www.instagram.com/profnoahgian/)Twitter (https://x.com/ProfNoahGian)Bluesky (https://bsky.app/profile/profnoahgian.bsky.social)Follow Autumn onTwitter (https://x.com/1autumn_leaf)Bluesky (https://bsky.app/profile/1autumnleaf.bsky.social)Instagram (https://www.instagram.com/1autumnleaf/)Substack (https://substack.com/@1autumnleaf)email: breakingmathpodcast@gmail.com
This Women in History Mini-Series episode with Dr. Victoria Bateman explores the groundbreaking work of Anna Schwartz, a pioneering economist who transformed macroeconomics through data-driven research. Discover how her meticulous analysis of monetary history shaped economic policy and the legacy she left for future generations.Chapters00:00 Introduction to Anna Schwartz and Her Impact01:45 The Historical Context of Economic Data04:10 Challenges Faced by Women in Economics06:03 A Monetary History of the United States09:04 The Methodology of Anna Schwartz11:46 Legacy and Personal Insights on Anna SchwartzFollow Breaking Math on Substack (https://breakingmath.substack.com/) Twitter (https://x.com/breakingmathpod) Instagram (https://www.instagram.com/breakingmathmedia/) Bluesky (https://bsky.app/profile/breakingmath.bsky.social) Website (https://www.breakingmath.io/) YouTube (https://www.youtube.com/@BreakingMathPod) Follow Victoria on Website (http://www.vnbateman.com/)Instagram (https://www.instagram.com/women.wealth.power/) Twitter (https://x.com/vnbateman) Bluesky (https://bsky.app/profile/vnbateman.bsky.social) Follow Autumn on Twitter (https://x.com/1autumn_leaf) Bluesky (https://bsky.app/profile/1autumnleaf.bsky.social) Instagram (https://www.instagram.com/1autumnleaf/) Substack (https://substack.com/@1autumnleaf) TikTok (https://www.tiktok.com/@1autumn_leaf_)
In this episode, Lauren Williams, professor of mathematics at Harvard University and a 2025 MacArthur Fellow, speaks about the surprising and often messy reality of mathematical research. The conversation begins with a turbulent moment in academia, when federal grants supporting her work were suddenly canceled—only months before she received the MacArthur “Genius Grant,” an unexpected recognition that allowed her to continue her research. Williams explains her work in algebraic combinatorics, illustrating how abstract mathematics can connect to real-world systems. The discussion also explores the human side of discovery, from collaborations that span continents to the strange coincidence of research papers and babies arriving the same week. Finally, the episode dives into one of the most intriguing experiments in modern mathematics: the First Proof project, which tests whether artificial intelligence can produce genuine mathematical proofs, revealing both the promise and the current limitations of AI-generated reasoning.Chapters01:27 Winning the MacArthur Genius Grant01:43 Becoming a Woman in Mathematics at Harvard04:25 Research Applications10:04 The Human Side of Research12:20 The First Proof Project18:29 Advice for Young Mathematicians22:51 The Intersection of Mathematics and AIFollow Lauren Williams on Instagram (https://www.instagram.com/laurenkwilliams42/ )Website (https://people.math.harvard.edu/~williams/)Follow Breaking Math on Substack (https://breakingmath.substack.com/) Twitter (https://x.com/breakingmathpod) Instagram (https://www.instagram.com/breakingmathmedia/) Bluesky (https://bsky.app/profile/breakingmath.bsky.social) Website (https://www.breakingmath.io/) YouTube (https://www.youtube.com/@BreakingMathPod) Follow Noah on Instagram (https://www.instagram.com/profnoahgian/) Twitter (https://x.com/ProfNoahGian) Bluesky (https://bsky.app/profile/profnoahgian.bsky.social) Follow Autumn on Twitter (https://x.com/1autumn_leaf) Bluesky (https://bsky.app/profile/1autumnleaf.bsky.social) Instagram (https://www.instagram.com/1autumnleaf/) email: breakingmathpodcast@gmail.com
This Women in History Mini-Series with Dr. Victoria Bateman explores the life and contributions of Priscilla Wakefield, a revolutionary figure in financial literacy and women's empowerment during the Industrial Revolution. Wakefield's work in establishing savings banks and community insurance schemes for women highlights her belief in the practical application of mathematics for everyday life. The discussion also addresses the challenges women faced in finance during her time and her lasting impact on feminist economics.TakeawaysPriscilla Wakefield taught ordinary people how to use numbers.She established England's first savings bank for women and children.Wakefield's work was pivotal during the British Industrial Revolution.She recognized the need for financial education among women.Her community insurance scheme empowered women financially.Wakefield's approach to mathematics was practical and accessible.She published influential works on women's rights and economics.Her philosophy emphasized the importance of financial literacy.Chapters00:00 Introduction to Priscilla Wakefield01:19 Priscilla Wakefield: A Revolutionary Mathematician04:28 The Financial Landscape of Georgian Britain06:34 Groundbreaking Contributions to Banking and Finance07:41 Fun Facts and Legacy of Priscilla WakefieldFollow Breaking Math on Substack (https://breakingmath.substack.com/) Twitter (https://x.com/breakingmathpod) Instagram (https://www.instagram.com/breakingmathmedia/) Bluesky (https://bsky.app/profile/breakingmath.bsky.social) Website (https://www.breakingmath.io/) YouTube (https://www.youtube.com/@BreakingMathPod) Follow Victoria on Website (http://www.vnbateman.com/)Instagram (https://www.instagram.com/women.wealth.power/) Twitter (https://x.com/vnbateman) Bluesky (https://bsky.app/profile/vnbateman.bsky.social) Follow Autumn on Twitter (https://x.com/1autumn_leaf) Bluesky (https://bsky.app/profile/1autumnleaf.bsky.social) Instagram (https://www.instagram.com/1autumnleaf/) Substack (https://substack.com/@1autumnleaf)
In this conversation, Dr. Bryna Kra discusses her journey in mathematics, focusing on her research, dynamical systems, the importance of collaboration, and the role of the American Mathematical Society. She emphasizes the need for better communication within the mathematics community and the challenges it faces, particularly regarding diversity and inclusion. Bryna shares her experiences in mentoring women in mathematics and reflects on her career achievements while looking forward to future contributions in the field.TakeawaysMathematics is a dynamic field that evolves over time.Explaining the applications of mathematical research is essential.Collaboration often starts in unexpected places.Dynamical systems connect seemingly unrelated mathematical fields.The AMS plays a crucial role in supporting mathematicians.Communication is key to addressing challenges in the mathematics community.Women in mathematics need more support and mentorship.Creating pathways for underrepresented groups is vital.Asking for help can lead to significant changes in academia.Reflecting on one's career can inspire future generations. Chapters00:00 Introduction to Dynamical Systems01:33 The Intersection of Number Theory and Dynamical Systems03:23 Communicating Abstract Mathematics05:21 The Evolution of Mathematical Fields07:09 Quirky Anecdotes in Mathematics09:49 Leading the American Mathematical Society15:01 Challenges Facing the Mathematics Community18:08 Roles in the National Mathematics Community21:11 Women in Mathematics and Mentorship27:02 Reflections on a Successful CareerBryna does not have social media, but you can email us to contact her,Follow Noah on Instagram, Twitter, Bluesky Follow Breaking Math on Substack, Patreon, Twitter, Instagram, Website, YouTube, TikTokFollow Autumn on Twitter, BlueSky, Instagram, SubstackBecome a guest here
In this conversation, Ian Stewart discusses the nature of mathematical inquiry, the motivations behind problem-solving in mathematics, and the importance of storytelling in making math relatable. He explores the relationship between nature and mathematics, emphasizing how patterns in nature inspire mathematical concepts. Stewart also addresses the role of AI in mathematical discovery and the importance of choosing meaningful problems to work on. He concludes by highlighting the vital role of mathematics in society and its significant contributions to the economy.Takeaways-Mathematics is driven by curiosity and the desire to solve problems-Nature serves as a significant source of inspiration for mathematical ideas.-Mathematicians often seek deeper understanding beyond just solving problems.-AI can be a powerful tool in mathematical discovery, but it raises questions about understanding-Choosing problems that interest you is crucial for success in mathematics.-Mathematics has a profound impact on various industries and the economy.Chapters00:00 The Origins of Mathematical Problems06:12 Breaking Down Complex Problems09:57 The Beauty of Mathematical Proofs15:21 The Role of Storytelling in Mathematics20:10 Nature as Inspiration for Mathematics24:30 The Pursuit of Mathematical Extremes27:00 The Complexity of the Four Color Theorem Proof28:38 The Impact of Computer-Aided Proofs on Understanding31:21 The Quest for Deeper Mathematical Insights32:11 AI and the Evolving Boundaries of Mathematics34:35 The Dilemma of Solving Without Understanding38:49 Guiding the Next Generation of MathematiciansYou can purchase Ian Stewart’s book here. Follow Noah on Instagram, LinkedIn, Twitter, Bluesky Follow Breaking Math on Substack, Patreon, Twitter, Instagram, Website, YouTube, TikTokFollow Autumn on Twitter, BlueSky, Instagram, SubstackBecome a guest hereemail: breakingmathpodcast@gmail.com
In this conversation, Ravi Vakil discusses the beauty of mathematics, the impact of AI on the field, and the importance of human interaction in mathematical education. He emphasizes the social nature of mathematics and the potential dangers of AI-generated content flooding the mathematical community. The discussion also touches on the future of education, the role of leadership in mathematics, and the balance between mathematics and other disciplines. Throughout, Vakil encourages aspiring mathematicians to embrace the beauty and interconnectedness of the subject.TakeawaysMathematics is fundamentally about curiosity and connection.The beauty of mathematics can be shared and experienced collectively.AI poses both opportunities and challenges for the field of mathematics.Mathematics thrives on social interaction and collaboration.The influx of AI-generated content may dilute the quality of mathematical research.Education in mathematics requires human interaction and cannot be fully replaced by technology.Leadership in mathematics should focus on long-term investments in education.Chapters00:00 Introduction and Setting the Stage01:11 The Beauty of Mathematics03:57 The Intersection of Mathematics and Technology05:41 AI's Role in Mathematics07:36 Emerging Mathematical Ideas in the Age of AI09:12 Community Dynamics in Mathematics13:32 Challenges of AI in Academic Publishing17:08 The Future of Writing and Learning in Mathematics19:42 The Value of Human Interaction in Education22:33 The Future of Mathematics and AI30:15 Leadership in Mathematics and Education35:47 Balancing Mathematics with Liberal Arts39:48 Encouragement for Aspiring MathematiciansFollow Noah on Instagram, Twitter, Bluesky Follow Breaking Math on Substack, Twitter, Instagram, Website, YouTube, TikTokFollow Autumn on Twitter, BlueSky, Instagram, SubstackBecome a guest hereemail: breakingmathpodcast@gmail.com
SummaryIn this episode, Autumn and Noah explore the intersection of AI and mathematics, discussing why AI struggles with math, the differences between calculus and algebra, and the historical contributions of women in mathematics. They delve into the concept of infinity, the significance of pi, and the implications of dynamic pricing in today's economy. The conversation highlights the importance of understanding mathematical tools and the ethical considerations surrounding personalized pricing.TakeawaysAI is not monolithic; it has varying capabilities.The difference between calculus and algebra lies in their focus on relationships and change.Infinity is a concept that exists in mathematics but not necessarily in the physical world.Pi is fundamental in understanding circular motion and symmetry.Dynamic pricing is a modern phenomenon influenced by technology and data.Choosing the right mathematical tool is crucial for problem-solving.Personalized pricing raises ethical questions about fairness and transparency.Chapters00:00 Introduction and Overview00:22 AI and Mathematics: The Dual Nature03:25 Understanding Calculus vs. Algebra07:40 Historical Perspectives: Women in Mathematics13:11 The Concept of Infinity in Mathematics16:55 The Origins of Pi21:33 Dynamic Pricing and Its ImplicationsFollow Noah on Instagram, Twitter, BlueskyFollow Breaking Math on Substack, Patreon, Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter, BlueSky, Instagram, SubstackBecome a guest hereemail: breakingmathpodcast@gmail.com
In this episode, Autumn and Noah celebrate the ninth anniversary of the Breaking Math podcast, reflecting on its journey and growth. They introduce Noah Giansiracusa as the new co-host and discuss the importance of engaging with the audience, storytelling in math, and the interdisciplinary nature of the topics they plan to cover. The conversation also touches on personal experiences, defining success in podcasting, and the dynamics of co-hosting, all while embracing their nerdy sides and fostering curiosity in their listeners.TakeawaysNoah is introduced as the new co-host.Engagement with the audience is a priority.Storytelling is crucial in teaching math.Math communication can impact people's understanding of their lives.Success is defined by personal fulfillment, not just metrics.The hosts aim to humanize math and its applications.Embracing nerdiness fosters a relatable and engaging atmosphere.Chapters01:55 Welcoming Noah as Co-Host05:37 Engaging with the Audience07:26 Expanding the Narrative and Storytelling09:34 The Power Dynamic in Education11:18 The Importance of Storytelling in Math13:44 Communicating Math Beyond the Classroom15:33 Interdisciplinary Approach to Math17:40 Future Topics and Directions20:37 Personal Insights and Fun Facts25:32 Defining Success in the Podcasting World30:13 Personal Reflections on Success36:19 Embracing Nerdiness and AuthenticityFollow Noah on Instagram, LinkedIn, Twitter, Bluesky Follow Breaking Math on Substack, Patreon, Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter, BlueSky, Instagram, LinkedIn, SubstackBecome a guest hereemail: breakingmathpodcast@gmail.com
In this episode of Breaking Math, Autumn and Nicolas Niarchos critique the "green" narrative of lithium-ion technology. Tracing the industry from its 1991 commercialization to modern geopolitical tensions, the hosts expose the exploitation and environmental degradation inherent in global mining, particularly in the Democratic Republic of the Congo. By challenging the presumed sustainability of electric vehicles, they emphasize the need for supply chain transparency and urge listeners to adopt a more informed, ethically-conscious approach to modern consumption.Takeaways What does it really cost to power the future? The bargain as stated is clean energy in one part and at the other end, you have corruption, pollution, and human suffering. The greenest vehicle is not always the electric one; it depends on the entire lifecycle of the product. We need to improve conditions on the ground, not just extract resources. Corruption is unfortunately a fact of life and is very closely related to extraction.Chapters 00:00 Introduction and Background 03:24 The Journey to Congo and Corruption 07:13 The Birth of Lithium-Ion Batteries 09:35 The Uneven Global Bargain 12:16 Mining vs. Oil: A Different Kind of Harm 13:56 Onshoring Battery Production: Challenges and Opportunities 17:13 China's Dominance in Battery Manufacturing 18:51 The Race in Battery Technology 21:39 Corruption and Poverty in the Congo 24:31 The Human Cost of Mining 29:12 Health Impacts of Mining 31:52 Colonial Legacy and Modern Mining 34:00 The Future of Battery Technology 39:12 Introduction to Complex Narratives 39:53 The Reality of Resource Extraction 39:59 Embracing Curiosity and ReflectionFollow Nick on Twitter, and you can get his book here.Subscribe to Breaking Math wherever you get your podcasts.Follow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter, BlueSky, and InstagramBecome a guest hereemail: breakingmathpodcast@gmail.com
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actually cryptography is deeply rooted in advanced mathematics particularly number theory and abstract algebra and probability theory. Techniques such as modular arithmetic elliptic curves and prime factorization form the mathematical foundation of modern encryption algorithms.
very informative.... thanksss
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What a fun episode! The name "Peirce" in "peirce quincuncial projection" is pronounced like "purse", after the 19th century philosopher-logician Charles Sanders Peirce.
Fascinating conversation.
I really wish there was another podcast that goes over the same topics but without Sophia hosting. She is not great at explaining concepts. There is the tendency to do the typical thing of trying to simplify ideas, but in the process end up making it too obscure to really understand. Case in point is the fact that her mom (who teaches math) can't understand what is being explained.
Good episode content. A couple things: much of the discussion about the individual axioms become convoluted with the language and examples that are used. The point is to either clearly state the axiom or provide examples that simplify the understanding, not complicate it. Also, Gödel is roughly pronounced "GER-dle", not "go-DELL."
Thank y'all for this episode... I've been down and depressed for a sec, this brought me back...thanks for the knowledge, laughs, and time taken for doing this during everything.love
False assumptions, bad conclusions. What about the modern example of Jaime Escalante and his ability to challenge elitism to economically challenged young adults with no time to study? Still they overcame it. Why? They wanted something enough to MAKE time for it and they had a teacher that demanded discipline.
Awesome
keep up the good work, love from UK
wonderful
Just what i was looking for, although I can barely keep up sometimes, since my knowledge in math isn't great. Still super interesting!
Lohnverstoß
Great podcast!
it's superb.. loved it.. the creators of this podcast are great :)