Breaking Math Podcast

Informações:

Synopsis

Breaking Math is a podcast that aims to make math accessible to everyone, and make it enjoyable. Every other week, topics such as chaos theory, forbidden formulas, and more will be covered in detail. If you have 45 or so minutes to spare, you're almost guaranteed to learn something new! Become a supporter of this podcast:https://anchor.fm/breakingmathpodcast/support

Episodes

  • Minisode: Absolutely Nothing

    18/06/2024 Duration: 19min

    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, zeroSubscribe to Breaking Math wherever you get your podcasts.Become a patron of Breaking Math for as little as a buck a monthFollow Breaking Math on Twitter, Instagram, LinkedIn, WebsiteFollow Autumn on Twitter and InstagramFollow Gabe on Twitter.Have suggestions or want to come on the show? Fill out the form here.email: br

  • 99 (Part II) Math in Drag: Interview with OnlineKyne

    11/06/2024 Duration: 27min

    SummaryThis episode is an interview with OnlineKyne, the author of the book Math in Drag. The conversation focuses on how to be an effective online educator and covers various topics in mathematics, including Cantor's infinite sets, probability, and statistics. The interview also delves into the process of writing the book and highlights the connection between math and drag. The chapters in the conversation cover the journey of a content creator, tips for science content creators, the concept of infinity, the significance of celebrity numbers, game theory, probability, statistics, and the ethical implications of math and drag.Takeaways Being an effective online educator involves distilling complex concepts into concise and valuable content. Math and drag share similarities in breaking rules and defying authority. Mathematics has a rich history and is influenced by various cultures and individuals. Statistics can be used to manipulate and deceive, so it is important to be critical of data and its interpret

  • 98. Math in Drag: An Episode with Math Educator Kyne Santos

    04/06/2024 Duration: 27min

    SummaryIn this conversation, Gabriel Hesch interviews Kyne Santos, an online creator who combines art, music, and performance in math education. They discuss the intersection of math and music, the controversy surrounding math and drag, and the creative side of math. They also explore topics such as topology, mathematical shapes, and influential books in math. The conversation highlights the importance of challenging traditional definitions and finding new and innovative ways to engage with math education.Takeaways Math and music have a strong connection, and math can be used to analyze, manipulate, and create music. Combining art and math education can make learning math more engaging and fun. Topology is a branch of mathematics that relaxes the rigid terms used in geometry and focuses on the similarities and differences between shapes. Mathematical discoveries can come from playing around and exploring different possibilities. Challenging traditional definitions and thinking creatively are important as

  • 97: (Part 2) Can We Survive on Mars? Hot Tips with Zach Weinersmith

    28/05/2024 Duration: 34min

    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 repro

  • 96: Can We Survive on Mars? Hot Tips with Zach Weinersmith

    21/05/2024 Duration: 32min

    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 TwitterSubscribe to Breaking Math wherever you get your podcasts.Become a patron of Breaking Math for as little as a buck a monthFollow Breaking Math on Twitter, Instagram, LinkedIn, WebsiteFollow Autumn on Twitter and InstagramFolllow Gabe on Twitter.email: breakingmathpodcast@gmail.comA City on Mars, space settlement, Mars colonization, misconceptions, myths, feasibility, space myths, space economics, war, Moon settlement, technical chall

  • What's the Use? Interview with Professor Ian Stewart

    14/05/2024 Duration: 44min

    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 conv

  • 95: Bayes' Theorem Explains It All: An Interview with Tom Chivers

    07/05/2024 Duration: 49min

    SummaryTom Chivers discusses his book 'Everything is Predictable: How Bayesian Statistics Explain Our World' and the applications of Bayesian statistics in various fields. He explains how Bayesian reasoning can be used to make predictions and evaluate the likelihood of hypotheses. Chivers also touches on the intersection of AI and ethics, particularly in relation to AI-generated art. The conversation explores the history of Bayes' theorem and its role in science, law, and medicine. Overall, the discussion highlights the power and implications of Bayesian statistics in understanding and navigating the world. The conversation explores the role of AI in prediction and the importance of Bayesian thinking. It discusses the progress of AI in image classification and the challenges it still faces, such as accurately depicting fine details like hands. The conversation also delves into the topic of predictions going wrong, particularly in the context of conspiracy theories. It highlights the Bayesian nature of hu

  • 94. Interview with Steve Nadis, Co-author of 'Gravity of Math'

    30/04/2024 Duration: 52min

    Summary**Tensor Poster - If you are interested in the Breaking Math Tensor Poster on the mathematics of General Relativity, email us at BreakingMathPodcast@gmail.comIn this episode, Gabriel Hesch and Autumn Phaneuf interview Steve Nadis, the author of the book 'The Gravity of Math.' They discuss the mathematics of gravity, including the work of Isaac Newton and Albert Einstein, gravitational waves, black holes, and recent developments in the field. Nadis shares his collaboration with Shing-Tung Yau and their journey in writing the book. They also talk about their shared experience at Hampshire College and the importance of independent thinking in education.  In this conversation, Steve Nadis discusses the mathematical foundations of general relativity and the contributions of mathematicians to the theory. He explains how Einstein was introduced to the concept of gravity by Bernhard Riemann and learned about tensor calculus from Gregorio Ricci and Tullio Levi-Civita. Nadis also explores Einstein's discove

  • 93. The 10,000 Year Problem (feat. David Gibson of Ray Kitty Creation Workship)

    23/04/2024 Duration: 34min

    Summary:  The episode discusses the 10,000 year dilemma, which is a thought experiment on how to deal with nuclear waste in the future.  Today's episode is hosted by guest host David Gibson, who is the founder of the Ray Kitty Creation Workshop. (Find out more about the Ray Kitty Creation Workshop by clicking here).  Gabriel and Autumn are out this week, but will be returning in short order with 3 separate interviews with authors of some fantastic popular science and math books including: The Gravity of Math:  How Geometry Rules the Universe by Dr. Shing-Tung Yau and Steve Nadis.    This book is all about the history of our understanding of gravity from the theories of Isaac Newton to Albert Einstein and beyond, including gravitational waves, black holes, as well as some of the current uncertainties regarding a precise definition of mass.  On sale now!   EVERYTHING IS PREDICTABLE: How Bayesian Statistics Explain Our World by Tom Chivers.  Published by Simon

  • 92. The Mathematical Heart of Games Explored with Prof. du Sautoy

    16/04/2024 Duration: 01h14min

    An interview with Prof. Marcus du Sautoy about his book Around the Wold in Eighty Games . . . .a Mathematician Unlocks the Secrets of the World's Greatest Games.  Topics covered in Today's Episode: 1. Introduction to Professor Marcus du Sautoy and the Role of Games- Impact of games on culture, strategy, and learning- The educational importance of games throughout history2. Differences in gaming cultures across regions like India and China3. Creative Aspects of Mathematics4. The surprising historical elements and banned games by Buddha5. Historical and geographical narratives of games rather than rules6. Game Theory and Education7.  Unknowable questions like thermodynamics and universe's infinity8. Professor du Sautoy's Former Books and Collections9.  A preview of his previous books and their themes10. Gaming Cultures and NFTs in Blockchain11. Gamification in Education12. The Role of AI in Gaming13. Testing machine learning in mastering games like Go14. Alphago's surprising move and its imp

  • 91. Brain Organelles, AI, and Other Scary Science - An Interview with GT (Part 2)

    04/04/2024 Duration: 31min

    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

  • 90. LEAN Theorem Provers used to model Physics and Chemistry

    16/03/2024 Duration: 47min

    This episode is inspired by a correspondence the Breaking Math Podcast had with the editors of Digital Discovery, a journal by the Royal Society of Chemistry.  In this episode the hosts review a paper about how the Lean Interactive Theorem Prover, which is usually used as a tool in creating mathemtics proofs, can be used to create rigorous and robust models in physics and chemistry.  Also -  we have a brand new member of the Breaking Math Team!  This episode is the debut episode for Autumn, CEO of Cosmo Labs, occasional co-host / host of the Breaking Math Podcast, and overall contributor who has been working behind the scenes on the podcast on branding and content for the last several months. Welcome Autumn!  Autumn and Gabe discuss how the paper explores the use of interactive theorem provers to ensure the accuracy of scientific theories and make them machine-readable. The episode discusses the limitations and potential of interactive theorem provers and highlights the themes of prec

  • 89. Brain Organelles, AI, and the Other Scary Science - An Interview with GT (Part I)

    05/03/2024 Duration: 30min

    This conversation explores the topic of brain organoids and their integration with robots. The discussion covers the development and capabilities of brain organoids, the ethical implications of their use, and the differences between sentience and consciousness. The conversation also delves into the efficiency of human neural networks compared to artificial neural networks, the presence of sleep in brain organoids, and the potential for genetic memories in these structures. The episode concludes with an invitation to part two of the interview and a mention of the podcast's Patreon offering a commercial-free version of the episode.Takeaways Brain organoids are capable of firing neural signals and forming structures similar to those in the human brain during development. The ethical implications of using brain organoids in research and integrating them with robots raise important questions about sentience and consciousness. Human neural networks are more efficient than artificial neural networks, but the reas

  • 88. Can OpenAi's SORA learn and model real-world physics? (Part 1 of n)

    27/02/2024 Duration: 34min

    This is a follow up on our previous episode on OpenAi's SORA. We attempt to answer the question, "Can OpenAi's SORA model real-world physics?" We go over the details of the technical report, we discuss some controversial opinoins by experts in the field at Nvdia and Google's Deep Mind. The transcript for episode is avialable below upon request.Help Support The Podcast by clicking on the links below: Try out ZenCastr:   Use my special link  ZenCastr Discount to save 30% off your first month of any Zencastr paid plan Patreon Link:  All content is available commercial free on patreon YouTube Channel:  Enjoy this content? subscribe to our YouTube Channel

  • 87. OpenAi SORA, Physics-Informed ML, and a.i. Fraud- Oh My!

    20/02/2024 Duration: 36min

    OpenAI's Sora, a text-to-video model, has the ability to generate realistic and imaginative scenes based on text prompts. This conversation explores the capabilities, limitations, and safety concerns of Sora. It showcases various examples of videos generated by Sora, including pirate ships battling in a cup of coffee, woolly mammoths in a snowy meadow, and golden retriever puppies playing in the snow. The conversation also discusses the technical details of Sora, such as its use of diffusion and transformer models. Additionally, it highlights the potential risks of AI fraud and impersonation. The episode concludes with a look at the future of physics-informed modeling and a call to action for listeners to engage with Breaking Math content.Takeaways OpenAI's Sora is a groundbreaking text-to-video model that can generate realistic and imaginative scenes based on text prompts. Sora has the potential to revolutionize various industries, including entertainment, advertising, and education. While Sora's capabili

  • 86. Math, Music, and Artificial Intelligence - Levi McClain Interview (Final Part)

    18/02/2024 Duration: 28min

    Help Support The Podcast by clicking on the links below: Try out ZenCastr w/ 30% Discount   Use my special link to save 30% off your first month of any Zencastr paid plan Patreon YouTubeTranscripts are available upon request. Email us at BreakingMathPodcast@gmail.comFollow us on X (Twitter)Follow us on Social Media Pages (Linktree)Visit our guest Levi McClain's Pages: youtube.com/@LeviMcClainlevimcclain.com/SummaryLevi McClean discusses various topics related to music, sound, and artificial intelligence. He explores what makes a sound scary, the intersection of art and technology, sonifying data, microtonal tuning, and the impact of using 31 notes per octave. Levi also talks about creating instruments for microtonal music and using unconventional techniques to make music. The conversation concludes with a discussion on understanding consonance and dissonance and the challenges of programming artificial intelligence to perceive sound like humans do.Takeaways: The perception of scary sounds c

  • 85. Math, Music, Neuroscience, and Fear - an Interview with Musician Levi McClain

    13/02/2024 Duration: 33min

    We are joined today by content creator Levi McClain to discuss the mathematics behind music theory, neuroscience, and human experiences such as fear as they relate to audio processing. For a copy of the episode transcript, email us at BreakingMathPodcast@gmail.com.  For more in depth discussions on these topics and more, check out Levi's channels at: Patreon.com/LeviMcClainyoutube.com/@LeviMcClainTiktok.com/@levimcclainInstagram.com/levimcclainmusicHelp Support The Podcast by clicking on the links below: Start YOUR podcast on ZenCastr!   Use my special link  ZenCastr Discount to save 30% off your first month of any Zencastr paid plan Visit our Patreon

  • 84. (Part 2) Intelligence in Nature v. Machine Learning - an Interview with Brit Cruise

    06/02/2024 Duration: 45min

    Help Support The Podcast by clicking on the links below: Start YOUR podcast on ZenCastr!   Use my special link  ZenCastr Discount to save 30% off your first month of any Zencastr paid plan Visit our PatreonPart 2/2 of the interview with Brit Cruise, creator of the YouTube channel "Art of the Problem," about interesting mathematics,, electrical and computer engineering problems. In Part 1, we explored what 'intelligence' may be defined as by looking for examples of brains and proto-brains found in nature (including mold, bacteria, fungus, insects, fish, reptiles, and mammals). In Part 2, we discuss aritifical neural nets and how they are both similar different from human brains, as well as the ever decreasing gap between the two. Brit's YoutTube Channel can be found here: Art of the Problem - Brit CruiseTranscript will be made available soon! Stay tuned. You may receive a transcript by emailing us at breakingmathpodcast@gmail.com.Become a supporter of this podcast: https://www.s

  • 83. Intelligence in Nature v. Machine Learning-An Interview with Brit Cruise - Part 1 of 2

    30/01/2024 Duration: 36min

    In this episode (part 1 of 2), I interview Brit Cruise, creator of the YouTube channel 'Art of the Problem.' On his channel, he recently released the video "ChatGPT: 30 Year History | How AI learned to talk." We discuss examples of intelligence in nature and what is required in order for a brain to evolve at the most basic level. We use these concepts to discuss what artificial intelligence - such as Chat GPT - both is and is not.Help Support The Podcast by clicking on the links below: Start YOUR podcast on ZenCastr!   Use my special link  ZenCastr Discount to save 30% off your first month of any Zencastr paid plan Visit our Patreon

  • 82. A.I. and Materials Discovery - an Interview with Taylor Sparks

    21/01/2024 Duration: 17min

    Transcripts of this episode are avialable upon request.  Email us at BreakingMathPodcast@gmail.com. In this episode Gabriel Hesch interviews Taylor Sparks, a professor of material science and engineering, about his recent paper on the use of generative modeling a.i. for material disovery.  The paper is published in the journal Digital Discovery and is titled 'Generative Adversarial Networks and Diffusion MOdels in Material Discovery. They discuss the purpose of the call, the process of generative modeling, creating a representation for materials, using image-based generative models, and a comparison with Google's approach. They also touch on the concept of conditional generation of materials, the importance of open-source resources and collaboration, and the exciting developments in materials and AI. The conversation concludes with a discussion on future collaboration opportunities.Takeaways Generative modeling is an exciting approach in materials science that allows for the prediction and cre

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