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We begin the episode with the absolutely ingenious and surprising way in which Kepler discovered the laws of planetary motion.People sometimes say that AI will make especially fast progress at scientific discovery because of tight verification loops.But the story of how we discovered the shape of our solar system shows how the verification loop for correct ideas can be decades (or even millennia) long.During this time, what we know today as the better theory can actually make worse predictions.And the reasons it survives this epistemic hell is some mixture of judgment and heuristics that we don't even understand well enough to actually articulate, much less codify into an RL loop. Hope you enjoy!Watch on YouTube; read the transcript.Sponsors- Jane Street loves challenging my audience with different creative puzzles. One of my listeners, Shawn, solved Jane Street's ResNet challenge and posted a great walk-through on X. If you want to try one of these puzzles yourself, there's one live now at janestreet.com/dwarkesh.- Labelbox can get you rubric-based evals, no matter your domain. These rubrics allow you to give your model feedback on all the dimensions you care about, so you can train how it thinks, not just what it thinks. Whatever you're focused on—math, physics, finance, psychology or something else—Labelbox can help. Learn more at labelbox.com/dwarkesh.- Mercury just released a new feature called Insights. Insights summarizes your money in and out, showing you your biggest transactions and calling out anything worth paying attention to. It's a super low-friction way to stay on top of your business. Learn more at mercury.com/insights.Timestamps(00:00:00) – Kepler was a high temperature LLM(00:11:44) – How would we know if there's a new unifying concept within heaps of AI slop?(00:26:10) – The deductive overhang(00:30:31) – Selection bias in reported AI discoveries(00:46:43) – AI makes papers richer and broader, but not deeper(00:53:00) – If AI solves a problem, can humans get understanding out of it?(00:59:20) – We need a semi-formal language for the way that scientists actually talk to each other(01:09:48) – How Terry uses his time(01:17:05) – Human-AI hybrids will dominate math for a lot longer Get full access to Dwarkesh Podcast at www.dwarkesh.com/subscribe
On this classic ID The Future out of the vault, host Andrew McDiarmid kicks off a three-episode discussion with Dr. Melissa Cain Travis about her recent book Thinking God's Thoughts: Johannes Kepler and the Miracle of Cosmic Comprehensibility. A fellow at Discovery Institute's Center for Science and Culture, Dr. Travis serves as Affiliate Faculty at Colorado Christian University's Lee Strobel Center for Evangelism and Applied Apologetics, where she teaches courses in the history and philosophy of science. In Part 1, learn why Kepler was instrumental in transforming classical astronomy into a true celestial physics. Like others before him, Kepler perceived a remarkable resonance between the rational order of the material world, mathematics, and the human mind. In response, he developed a three-part cosmic harmony of archetype, copy, and image to explain this unity. Travis unpacks his tripartite harmony for us. This is Part 1 of a 3-part discussion. Source
This week on Game Crunch: Pokopia, Blue Prince, Marathon. All this and more on the latest Game Crunch! Until next week - Game On!
Math is one of the subjects that gets the most attention in American education, but how well do we actually understand what good math instruction should look like? Should math classes consist of students solving problem after problem, or should math classes also include opportunities for discussion and group work? Should students learn a topic […]
Data scientists often jump straight to machine learning when tackling a new problem. But there's a foundational step that can dramatically increase your chances of project success and create more reliable business value. Mathematical modelling from first principles provides a low-cost scaffolding that can make your machine learning work more robust.In this Value Boost episode, Dr. Tim Varelmann joins Dr. Genevieve Hayes to explain how building models from physics principles, like mass and energy conservation, creates a modular foundation that reduces computational costs and makes your work easier to understand.In this episode, we explore:1. What mathematical modelling from first principles actually means [01:20]2. How to build modular models with different resolution levels [04:39]3. When to add machine learning to first principles models [08:18]4. The practical first step to incorporate this approach into your work [09:23]Guest BioDr Tim Varelmann is the founder of Bluebird Optimization and holds a PhD in Mathematical Optimisation. He is also the creator of Effortless Modeling in Python with GAMSPy, the world's first GAMSPy course.LinksBluebird Optimization WebsiteConnect with Genevieve on LinkedInBe among the first to hear about the release of each new podcast episode by signing up HERE
Math is one of the subjects that gets the most attention in American education, but how well do we actually understand what good math instruction should look like?Should math classes consist of students solving problem after problem, or should math classes also include opportunities for discussion and group work? Should students learn a topic and then move on to the next topic after they have achieved competency, or should teachers strive to teach each topic deeply, giving students many different strategies for solving problems? And if math education in America were dramatically improved, just how good could it be?On this episode of The Report Card, Nat Malkus discusses these questions, and more, with Jon Star. Nat and Jon discuss conceptual understanding and procedural fluency, whether constructivism has a place in the classroom, the value of worked examples, online curricula and the importance of curricular coherence, what mathematical flexibility is and why it matters, whether students can understand problem-solving strategies more or less well, whether math makes students better problem-solvers more generally, Chinese math education, Jon's experience teaching middle school math and how being a researcher informs his teaching, whether math education research is sufficiently accessible to teachers, how to improve American math education, and how good American math education could be.Jon Star is the Carl H. Pforzheimer, Jr. Professor of Teaching and Learning at the Harvard Graduate School of Education and a middle school math teacher.
What does the day-to-day of a math is figureoutable classroom look like? In this episode, Pam and Kim discuss the new book for teachers of Grades 3-5 to transform their teaching. Talking Points:New book release for Grades 3-5!Development of Mathematical ReasoningAdditive ReasoningMultiplicative ReasoningProblem String walkthroughs and videosRich tasks, routines, models and modelingNext steps for teachers, specific to their needs and experienceShark Metaphor Podcast episode: Ep 245: Three Distortions that Ruin Math TeachingCheck out our social mediaTwitter: @PWHarrisInstagram: Pam Harris_mathFacebook: Pam Harris, author, mathematics educationLinkedin: Pam Harris Consulting LLC
Is the NBA draft lottery rigged to reward losing? Veteran NBA insider Ric Bucher sits down with Dr. TJ Highley, Associate Professor of Math & Computer Science at LaSalle University, who has developed a groundbreaking anti-tanking formula that could change the NBA forever — and it doesn't involve eliminating the draft.Highley's COLA (Carryover Lottery Allocation) system strips tanking of its incentive by rewarding playoff history instead of regular season losses. Teams would accumulate lottery tickets over time based on sustained failure — not deliberate losing — making intentional tanking mathematically pointless.But Bucher pushes back with 30 years of hard-won NBA knowledge: not every owner wants to win. Some — following the Donald Sterling playbook — are perfectly content selling hope while pocketing profits. Can any formula fix that?Plus: Bucher delivers a candid reassessment of the Denver Nuggets title chances and why the Michael Porter Jr. trade may have cost them more than anyone realized — rebounding. And a sharp takedown of the analytics crowd that thinks they've cracked the code on building a championship team.⏱️ TIMESTAMPS00:00 — Intro & Book Announcement 02:02 — Meet Dr. TJ Highley: The Math Professor Trying to Fix NBA Tanking 03:31 — His NBA Fandom: Spurs to Sixers & "The Process" 05:21 — COLA Explained: How Playoff History Replaces Regular Season Records 07:57 — Has Any NBA Insider Reviewed This System? 09:59 — Simple COLA: A Brand-New Version Revealed for the First Time 13:35 — Should the NBA Abolish the Draft? Ric Says No — Emphatically 15:06 — The Fatal Flaw in Every Anti-Tanking Proposal: Owners Who Don't Want to Win 27:28 — The Donald Sterling Blueprint: How Tanking Became a Business Model 30:10 — Denver Nuggets: Why Ric Is Second-Guessing His Championship Pick 35:01 — The Michael Porter Jr. Trade: What Ric Got Wrong 38:05 — The Hidden Cost: Rebounding and Why It Matters at Crunch Time 43:54 — Final Verdict: Can the Nuggets Come Out of the West? 44:32 — Outro & Sponsor: New Air Club#NBA#NBADraft#Tanking#NBALottery#DenverNuggets#NikolaJokic#RicBucher#OnTheBall#NBAAnalysis#Basketball#MichaelPorterJr#CamJohnson#NBAInsider#SportsPodcast#NBADebate#AntiTanking#COLA#NBAReform#SmallMarketNBA#UnitedWeCastSupport this show http://supporter.acast.com/bucher-and-friends. Hosted on Acast. See acast.com/privacy for more information.
In this episode of Mark & Pete, we explore a fascinating development in modern science: how mathematical models are helping scientists identify genetic material that could dramatically improve the resilience of global food crops.Researchers are increasingly using advanced mathematics, computational biology, and genetic analysis to pinpoint the specific genes responsible for drought tolerance, disease resistance, and environmental adaptability in crops such as wheat, rice, and maize. The goal is simple but crucial: strengthen the world's food supply in the face of climate change, population growth, and unpredictable agricultural conditions.But this technological breakthrough raises bigger questions. When mathematics begins guiding genetic discovery, are we witnessing the next great leap in agricultural science—or are we stepping into a new era where humanity attempts to redesign the natural world?In this episode we unpack how mathematical modelling, genetics, and agricultural science intersect, and why this approach is rapidly becoming one of the most powerful tools in modern crop research. From predictive algorithms that identify useful genetic traits to data-driven plant breeding, the science behind food security is becoming increasingly mathematical.At the same time, we ask an important cultural and philosophical question: what does stewardship of creation look like in an age of genetic precision? The Bible speaks of humanity being placed in the garden “to work it and keep it.” Does modern genetic science fulfil that mandate—or challenge it?This conversation brings together science, ethics, agriculture, and faith, offering a thoughtful look at how technological innovation intersects with biblical ideas about stewardship, responsibility, and wisdom.If you are interested in food security, agricultural science, genetics, biotechnology, climate resilience, and the Christian perspective on science, this episode provides a clear and engaging discussion of one of the most important developments shaping the future of global food production.Keywords:crop resilience genetics, mathematical models genetics, food crop resilience science, agricultural genetics research, genetic material crops, drought resistant crops research, crop breeding algorithms, biotechnology agriculture, global food security science, mathematics in biology, computational genetics agriculture, Christian perspective on science, stewardship of creation agriculture
This is a link post. I would like to thank David Thorstadt for looking over this. If you spot a factual error in this article please message me. The code used to generate the graphs in the article is available to view here. Introduction Say you are an organiser, tasked with achieving the best result on some metric, such as “trash picked up”, “GDP per capita”, or “lives saved by an effective charity”. There are several possible options of interventions you can take to try and achieve this. How do you choose between them? The obvious thing to do is look at each intervention in turn and make your best, unbiased estimate of how each intervention will perform on your metric, and pick the one that performs the best:Image taken from here Having done this ranking, you declare the top ranking program to be the best intervention and invest in it, expecting that that your top estimate will be the result that you get. This whole procedure is totally normal, and people all around the world, including people in the effective altruist community, do it all the time. In actuality, this procedure is not correct. The optimisers curse is [...] ---Outline:(00:26) Introduction(02:17) The optimisers curse explained simply(04:42) Introducing a toy model(08:45) Introducing speculative interventions(12:15) A simple bayesian correction(18:47) Obstacles to simple optimizer curse solutions.(22:08) How Givewell has reacted to the optimiser curse(25:18) Conclusion --- First published: February 11th, 2026 Source: https://forum.effectivealtruism.org/posts/q2TfTirvspCTH2vbZ/the-best-cause-will-disappoint-you-an-intro-to-the Linkpost URL:https://open.substack.com/pub/titotal/p/the-best-cause-will-disappoint-you?r=1e0is3&utm_campaign=post&utm_medium=web&showWelcomeOnShare=true --- Narrated by TYPE III AUDIO. ---Images from the article:Apple Podcasts and Spotify do not show images in the episode description. Try Pocket Casts, or another podcast app.
Vlad Tenev and Tudor Achim from Harmonic explain how they built Aristotle, an AI system that reaches International Mathematical Olympiad gold-medal performance using formally verified Lean proofs. They unpack the architecture behind mathematical superintelligence, including Monte Carlo Tree Search, lemma guessing, and specialized geometry modules. The conversation explores how verifiable reasoning could harden mission-critical software, reshape mathematical practice, and lead to trustworthy superintelligent systems by 2030. Use the Granola Recipe Nathan relies on to identify blind spots across conversations, AI research, and decisions: https://bit.ly/granolablindspot Sponsors: Claude: Claude is the AI collaborator that understands your entire workflow, from drafting and research to coding and complex problem-solving. Start tackling bigger problems with Claude and unlock Claude Pro's full capabilities at https://claude.ai/tcr Framer: Framer is an enterprise-grade website builder that lets business teams design, launch, and optimize their.com with AI-powered wireframing, real-time collaboration, and built-in analytics. Start building for free and get 30% off a Framer Pro annual plan at https://framer.com/cognitive Blitzy: Blitzy is the autonomous code generation platform that ingests millions of lines of code to accelerate enterprise software development by up to 5x with premium, spec-driven output. Schedule a strategy session with their AI solutions consultants at https://blitzy.com Tasklet: Tasklet is an AI agent that automates your work 24/7; just describe what you want in plain English and it gets the job done. Try it for free and use code COGREV for 50% off your first month at https://tasklet.ai CHAPTERS: (00:00) About the Episode (04:58) Math as reasoning (Part 1) (15:22) Sponsors: Claude | Framer (18:51) Math as reasoning (Part 2) (18:51) Inside the Lean language (27:51) Lean intuition and MathLib (Part 1) (34:08) Sponsors: Blitzy | Tasklet (37:08) Lean intuition and MathLib (Part 2) (38:47) Inside Aristotle's architecture (48:33) Scope, boundaries, and applications (54:37) Training, taste, and interpretability (01:08:18) Formal math and software (01:16:50) Limits, entropy, and roadmap (01:25:24) 2030 vision and safety (01:33:38) Outro PRODUCED BY: https://aipodcast.ing
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
A conversation about mathematics inspired by a piece of folklore. Presented by Katie Steckles and Peter Rowlett.
Watch on YouTube: https://youtu.be/xOpnvk7XIyEIn this episode, I sit down with Professor Yang Hui-He, a mathematical physicist who is a Fellow at the London Institute for Mathematical Sciences (LIMS) and a lecturer at Merton College, Oxford.I ask Yang about his work on AI-guided mathematics and whether AI will solve the hardest mathematical problems, the basics of string theory, his career journey, who LIMS are, why he's working in Michael Faraday's apartment, and more!The Human Podcast explores stories & ideas about being human.Timestamps0:00 - Working in Faraday's apartment3:30 - $1million problems AI could solve7:38 - Does AI make you sad or excited?10:54 - What AI can already do14:57 - What AI struggles with17:18 - How I became a mathematical physicist19:57 - AI will replace your calculator20:40 - What is string theory?25:33 - Does string theory mess with your mind?27:24 - Mathematics can literally drive people mad30:27 - Lecturing at the Royal Institution33:10 - What is algebraic geometry?37:20 - What I most love about mathematics39:47 - Princeton, Cambridge & MIT PhD42:34 - How I plan years of research44:14 - Does your work practically matter?46:19 - One question for a superintelligence47:53 - What is a good life?Guest - Yang Hui-HeLinkedIn - https://www.linkedin.com/in/yang-hui-he-22b3ab/Facebook - https://www.facebook.com/yanghui.he.9Wikipedia - https://en.wikipedia.org/wiki/Yang-Hui_HeLondon Institute for Mathematical Sciences (LIMS) - https://lims.ac.uk/Oxford Physics (Yang) - https://www.physics.ox.ac.uk/our-people/heLIMS (Yang) - https://lims.ac.uk/yang-hui-he/Royal Institution Lecture (The Search for a Theory of Everything) - https://youtu.be/llGvkEgXnAQ?si=FYBDjwcd6JsMlYYORoyal Institution Lecture (How geometry created modern physics) - https://youtu.be/z8jdndd-x7w?si=i_4wdBzUyCawK12jRoyal Institution Lecture (Mathematics: The rise of the machines) - https://youtu.be/oOYcPkBaotg?si=NrAGlzIWitSU9vloThe Human Podcast
Understanding history is not about understanding formulas or narratives. Instead, we must understand the people who made history, their motives, and their goals.Original article: https://mises.org/mises-wire/history-not-mathematical-calculation
Understanding history is not about understanding formulas or narratives. Instead, we must understand the people who made history, their motives, and their goals.Original article: https://mises.org/mises-wire/history-not-mathematical-calculation
This is a link post. The shift from scaling up the pre-training compute of AI systems to scaling up their inference compute may have profound effects on AI governance. The nature of these effects depends crucially on whether this new inference compute will primarily be used during external deployment or as part of a more complex training programme within the lab. Rapid scaling of inference-at-deployment would: lower the importance of open-weight models (and of securing the weights of closed models), reduce the impact of the first human-level models, change the business model for frontier AI, reduce the need for power-intense data centres, and derail the current paradigm of AI governance via training compute thresholds. Rapid scaling of inference-during-training would have more ambiguous effects that range from a revitalisation of pre-training scaling to a form of recursive self-improvement via iterated distillation and amplification. The end of an era — for both training and governance The intense year-on-year scaling up of AI training runs has been one of the most dramatic and stable markers of the Large Language Model era. Indeed it had been widely taken to be a permanent fixture of the AI landscape and the basis of many approaches to [...] ---Outline:(01:06) The end of an era -- for both training and governance(05:24) Scaling inference-at-deployment(06:42) Reducing the number of simultaneously served copies of each new model(08:45) Reducing the value of securing model weights(09:30) Reducing the benefits and risks of open-weight models(10:05) Unequal performance for different tasks and for different users(12:08) Changing the business model and industry structure(12:50) Reducing the need for monolithic data centres(17:16) Scaling inference-during-training(28:07) Conclusions(30:17) Appendix. Comparing the costs of scaling pre-training vs inference-at-deployment --- First published: February 2nd, 2026 Source: https://forum.effectivealtruism.org/posts/RnsgMzsnXcceFfKip/inference-scaling-reshapes-ai-governance Linkpost URL:https://www.tobyord.com/writing/inference-scaling-reshapes-ai-governance --- Narrated by TYPE III AUDIO. ---Images from the article:Apple Podcasts and Spotify do not show images in the episode description. Try Pocket Casts, or another podcast app.
This is a link post. AI capabilities have improved remarkably quickly, fuelled by the explosive scale-up of resources being used to train the leading models. But if you examine the scaling laws that inspired this rush, they actually show extremely poor returns to scale. What's going on? AI Scaling is Shockingly Impressive The era of LLMs has seen remarkable improvements in AI capabilities over a very short time. This is often attributed to the AI scaling laws — statistical relationships which govern how AI capabilities improve with more parameters, compute, or data. Indeed AI thought-leaders such as Ilya Sutskever and Dario Amodei have said that the discovery of these laws led them to the current paradigm of rapid AI progress via a dizzying increase in the size of frontier systems. Before the 2020s, most AI researchers were looking for architectural changes to push the frontiers of AI forwards. The idea that scale alone was sufficient to provide the entire range of faculties involved in intelligent thought was unfashionable and seen as simplistic. A key reason it worked was the tremendous versatility of text. As Turing had noted more than 60 years earlier, almost any challenge that one could pose to [...] --- First published: January 30th, 2026 Source: https://forum.effectivealtruism.org/posts/742xJNTqer2Dt9Cxx/the-scaling-paradox Linkpost URL:https://www.tobyord.com/writing/the-scaling-paradox --- Narrated by TYPE III AUDIO. ---Images from the article:Apple Podcasts and Spotify do not show images in the episode description. Try Pocket Casts, or another podcast app.
A conversation about mathematics and communicating mathematics inspired by a ‘Certified Mathematical Object' sticker. Presented by Katie Steckles and Peter Rowlett, with special guest Chris Nho from Public-Math.org.
Two-time Emmy and Three-time NAACP Image Award-winning, television Executive Producer Rushion McDonald interviewed Dr. Jacque Rushin and Robyn Donaldson. Below is a polished, thorough summary of the interview featuring Jacque Rushin and Robyn Donaldson discussing the career and legacy of Dr. Gladys West with Rushion McDonald—along with its purpose, key takeaways, and notable quotes, all drawn directly from the transcript.(Citations reference the uploaded file.) Summary of the Interview On Money Making Conversations Masterclass, Rushion McDonald welcomes Dr. Jacque Rushin (award‑winning business executive, educator, mental health professional, humanitarian) and Robyn Donaldson (2025 Presidential Lifetime Achievement Award honoree for global STEM education) to discuss their celebration of Dr. Gladys B. West, a pioneering mathematician whose work laid the foundation for the GPS (Global Positioning System). The conversation explores the intersection of Juneteenth, Black excellence, STEM education, and Dr. West’s life story, captured in her memoir It Began with a Dream. The guests highlight Dr. West as one of America’s last living “hidden figures”—a brilliant yet historically overlooked Black woman whose mathematical genius revolutionized everyday life. They detail how Dr. West rose from sharecropper roots, excelled academically at Virginia State University, earned her master’s and PhD, spent 39 years contributing to government research, and ultimately developed the algorithms and modeling processes that power GPS. They also describe their collaborative effort to create the Westward Bound Program, a life‑skills and STEM‑focused curriculum inspired by Dr. West’s principles of wisdom, endurance, strategy, and precision. Through humorous, emotional, and deeply insightful dialogue, the episode uplifts Dr. West’s accomplishments while discussing mental health, technology dependence, the importance of exposure to STEM pathways for underserved youth, and how the legacy of Black innovators must remain central in cultural celebrations like Juneteenth. Purpose of the Interview 1. To honor and amplify Dr. Gladys West’s legacy She is a living mathematical pioneer whose GPS contributions transformed global navigation and modern technology. 2. To connect her story to Juneteenth’s spirit of liberation and recognition The guests highlight the “delayed recognition” of Black innovators and the importance of acknowledging hidden figures whose brilliance shaped society. 3. To promote STEM exposure in underserved communities Robyn Donaldson emphasizes equitable access to STEM opportunities so children can compete in a global, tech‑driven world. 4. To introduce and promote the Westward Bound Program The curriculum teaches STEM principles, life skills, and personal development inspired by Dr. West’s methodologies. 5. To highlight themes of resilience, humility, and lifelong learning Dr. West’s quiet determination and academic persistence serve as a blueprint for young people and adults alike. Key Takeaways 1. Dr. Gladys West is a “living hidden figure.” Her research and mathematical modeling are the backbone of GPS, impacting navigation, transportation, military systems, and everyday digital tools. 2. Her journey exemplifies brilliance shaped by humility and hard work. Born in 1930 to sharecropper parents, she excelled academically despite segregation, pursued multiple degrees, and overcame racial and gender barriers in government research settings. 3. Juneteenth is the perfect backdrop for honoring Dr. West. Jacque stresses that Juneteenth represents “delayed freedom,” paralleling the delayed recognition of Black inventors and innovators. 4. STEM exposure is vital to equity. Robyn insists that Black children are fully capable of STEM success—they simply lack exposure, not aptitude. Without STEM skills, young people risk being left behind in a robotics‑driven economy. 5. Technology should complement—not replace—human thinking. Jacque cites Dr. West’s personal preference for physical maps over GPS to maintain cognitive sharpness and critical thinking, a warning about over‑dependence on AI and automation. 6. The Westward Bound Program bridges STEM, life skills, and personal development. Built on the acronym “WEST”—Wisdom, Endurance, Strategy, Tracking—the program supports youth, adults, and entrepreneurs seeking direction and resilience. 7. Mentorship, community, and relationships are central themes. Dr. West’s success was nurtured by professors and role models at her HBCU—mirroring how Jacque and Robyn now uplift the next generation. 8. Her story resonates globally and intergenerationally. From college students to young children to adults, the principles from her memoir and program promote self‑belief, vision, discipline, and perseverance. Notable Quotes (All taken directly from the transcript.) On Dr. West’s impact “She’s a living hidden figure… her accomplishments have actually changed our way of living in every discipline of life.” “Her technology… makes these things possible.” On Juneteenth and recognition “Juneteenth is about the delayed freedom of African Americans… and what Dr. West represents is the quiet, often overlooked brilliance that changes the world.” On STEM access “Our kids are not pursuing high‑paying STEM careers, not because of their aptitude, but simply because they have not been exposed.” On Dr. West’s genius “You don’t have to be loud to be a legacy.” “She is just so humble, but she’s just brilliant. She’s like a mathematical genius.” On technology & mental health “She didn’t want to lose her critical thinking by depending on GPS… everything has a place, and it should complement you, not take over.” On resilience & aspiration “You have to believe there is something greater than what you’re standing in.” “From sharecropper to pioneer—you can be someone from humble beginnings and change the world.” #SHMS #STRAW #BESTSupport the show: https://www.steveharveyfm.com/See omnystudio.com/listener for privacy information.
Two-time Emmy and Three-time NAACP Image Award-winning, television Executive Producer Rushion McDonald interviewed Dr. Jacque Rushin and Robyn Donaldson. Below is a polished, thorough summary of the interview featuring Jacque Rushin and Robyn Donaldson discussing the career and legacy of Dr. Gladys West with Rushion McDonald—along with its purpose, key takeaways, and notable quotes, all drawn directly from the transcript.(Citations reference the uploaded file.) Summary of the Interview On Money Making Conversations Masterclass, Rushion McDonald welcomes Dr. Jacque Rushin (award‑winning business executive, educator, mental health professional, humanitarian) and Robyn Donaldson (2025 Presidential Lifetime Achievement Award honoree for global STEM education) to discuss their celebration of Dr. Gladys B. West, a pioneering mathematician whose work laid the foundation for the GPS (Global Positioning System). The conversation explores the intersection of Juneteenth, Black excellence, STEM education, and Dr. West’s life story, captured in her memoir It Began with a Dream. The guests highlight Dr. West as one of America’s last living “hidden figures”—a brilliant yet historically overlooked Black woman whose mathematical genius revolutionized everyday life. They detail how Dr. West rose from sharecropper roots, excelled academically at Virginia State University, earned her master’s and PhD, spent 39 years contributing to government research, and ultimately developed the algorithms and modeling processes that power GPS. They also describe their collaborative effort to create the Westward Bound Program, a life‑skills and STEM‑focused curriculum inspired by Dr. West’s principles of wisdom, endurance, strategy, and precision. Through humorous, emotional, and deeply insightful dialogue, the episode uplifts Dr. West’s accomplishments while discussing mental health, technology dependence, the importance of exposure to STEM pathways for underserved youth, and how the legacy of Black innovators must remain central in cultural celebrations like Juneteenth. Purpose of the Interview 1. To honor and amplify Dr. Gladys West’s legacy She is a living mathematical pioneer whose GPS contributions transformed global navigation and modern technology. 2. To connect her story to Juneteenth’s spirit of liberation and recognition The guests highlight the “delayed recognition” of Black innovators and the importance of acknowledging hidden figures whose brilliance shaped society. 3. To promote STEM exposure in underserved communities Robyn Donaldson emphasizes equitable access to STEM opportunities so children can compete in a global, tech‑driven world. 4. To introduce and promote the Westward Bound Program The curriculum teaches STEM principles, life skills, and personal development inspired by Dr. West’s methodologies. 5. To highlight themes of resilience, humility, and lifelong learning Dr. West’s quiet determination and academic persistence serve as a blueprint for young people and adults alike. Key Takeaways 1. Dr. Gladys West is a “living hidden figure.” Her research and mathematical modeling are the backbone of GPS, impacting navigation, transportation, military systems, and everyday digital tools. 2. Her journey exemplifies brilliance shaped by humility and hard work. Born in 1930 to sharecropper parents, she excelled academically despite segregation, pursued multiple degrees, and overcame racial and gender barriers in government research settings. 3. Juneteenth is the perfect backdrop for honoring Dr. West. Jacque stresses that Juneteenth represents “delayed freedom,” paralleling the delayed recognition of Black inventors and innovators. 4. STEM exposure is vital to equity. Robyn insists that Black children are fully capable of STEM success—they simply lack exposure, not aptitude. Without STEM skills, young people risk being left behind in a robotics‑driven economy. 5. Technology should complement—not replace—human thinking. Jacque cites Dr. West’s personal preference for physical maps over GPS to maintain cognitive sharpness and critical thinking, a warning about over‑dependence on AI and automation. 6. The Westward Bound Program bridges STEM, life skills, and personal development. Built on the acronym “WEST”—Wisdom, Endurance, Strategy, Tracking—the program supports youth, adults, and entrepreneurs seeking direction and resilience. 7. Mentorship, community, and relationships are central themes. Dr. West’s success was nurtured by professors and role models at her HBCU—mirroring how Jacque and Robyn now uplift the next generation. 8. Her story resonates globally and intergenerationally. From college students to young children to adults, the principles from her memoir and program promote self‑belief, vision, discipline, and perseverance. Notable Quotes (All taken directly from the transcript.) On Dr. West’s impact “She’s a living hidden figure… her accomplishments have actually changed our way of living in every discipline of life.” “Her technology… makes these things possible.” On Juneteenth and recognition “Juneteenth is about the delayed freedom of African Americans… and what Dr. West represents is the quiet, often overlooked brilliance that changes the world.” On STEM access “Our kids are not pursuing high‑paying STEM careers, not because of their aptitude, but simply because they have not been exposed.” On Dr. West’s genius “You don’t have to be loud to be a legacy.” “She is just so humble, but she’s just brilliant. She’s like a mathematical genius.” On technology & mental health “She didn’t want to lose her critical thinking by depending on GPS… everything has a place, and it should complement you, not take over.” On resilience & aspiration “You have to believe there is something greater than what you’re standing in.” “From sharecropper to pioneer—you can be someone from humble beginnings and change the world.” #SHMS #STRAW #BESTSee omnystudio.com/listener for privacy information.
Two-time Emmy and Three-time NAACP Image Award-winning, television Executive Producer Rushion McDonald interviewed Dr. Jacque Rushin and Robyn Donaldson. Below is a polished, thorough summary of the interview featuring Jacque Rushin and Robyn Donaldson discussing the career and legacy of Dr. Gladys West with Rushion McDonald—along with its purpose, key takeaways, and notable quotes, all drawn directly from the transcript.(Citations reference the uploaded file.) Summary of the Interview On Money Making Conversations Masterclass, Rushion McDonald welcomes Dr. Jacque Rushin (award‑winning business executive, educator, mental health professional, humanitarian) and Robyn Donaldson (2025 Presidential Lifetime Achievement Award honoree for global STEM education) to discuss their celebration of Dr. Gladys B. West, a pioneering mathematician whose work laid the foundation for the GPS (Global Positioning System). The conversation explores the intersection of Juneteenth, Black excellence, STEM education, and Dr. West’s life story, captured in her memoir It Began with a Dream. The guests highlight Dr. West as one of America’s last living “hidden figures”—a brilliant yet historically overlooked Black woman whose mathematical genius revolutionized everyday life. They detail how Dr. West rose from sharecropper roots, excelled academically at Virginia State University, earned her master’s and PhD, spent 39 years contributing to government research, and ultimately developed the algorithms and modeling processes that power GPS. They also describe their collaborative effort to create the Westward Bound Program, a life‑skills and STEM‑focused curriculum inspired by Dr. West’s principles of wisdom, endurance, strategy, and precision. Through humorous, emotional, and deeply insightful dialogue, the episode uplifts Dr. West’s accomplishments while discussing mental health, technology dependence, the importance of exposure to STEM pathways for underserved youth, and how the legacy of Black innovators must remain central in cultural celebrations like Juneteenth. Purpose of the Interview 1. To honor and amplify Dr. Gladys West’s legacy She is a living mathematical pioneer whose GPS contributions transformed global navigation and modern technology. 2. To connect her story to Juneteenth’s spirit of liberation and recognition The guests highlight the “delayed recognition” of Black innovators and the importance of acknowledging hidden figures whose brilliance shaped society. 3. To promote STEM exposure in underserved communities Robyn Donaldson emphasizes equitable access to STEM opportunities so children can compete in a global, tech‑driven world. 4. To introduce and promote the Westward Bound Program The curriculum teaches STEM principles, life skills, and personal development inspired by Dr. West’s methodologies. 5. To highlight themes of resilience, humility, and lifelong learning Dr. West’s quiet determination and academic persistence serve as a blueprint for young people and adults alike. Key Takeaways 1. Dr. Gladys West is a “living hidden figure.” Her research and mathematical modeling are the backbone of GPS, impacting navigation, transportation, military systems, and everyday digital tools. 2. Her journey exemplifies brilliance shaped by humility and hard work. Born in 1930 to sharecropper parents, she excelled academically despite segregation, pursued multiple degrees, and overcame racial and gender barriers in government research settings. 3. Juneteenth is the perfect backdrop for honoring Dr. West. Jacque stresses that Juneteenth represents “delayed freedom,” paralleling the delayed recognition of Black inventors and innovators. 4. STEM exposure is vital to equity. Robyn insists that Black children are fully capable of STEM success—they simply lack exposure, not aptitude. Without STEM skills, young people risk being left behind in a robotics‑driven economy. 5. Technology should complement—not replace—human thinking. Jacque cites Dr. West’s personal preference for physical maps over GPS to maintain cognitive sharpness and critical thinking, a warning about over‑dependence on AI and automation. 6. The Westward Bound Program bridges STEM, life skills, and personal development. Built on the acronym “WEST”—Wisdom, Endurance, Strategy, Tracking—the program supports youth, adults, and entrepreneurs seeking direction and resilience. 7. Mentorship, community, and relationships are central themes. Dr. West’s success was nurtured by professors and role models at her HBCU—mirroring how Jacque and Robyn now uplift the next generation. 8. Her story resonates globally and intergenerationally. From college students to young children to adults, the principles from her memoir and program promote self‑belief, vision, discipline, and perseverance. Notable Quotes (All taken directly from the transcript.) On Dr. West’s impact “She’s a living hidden figure… her accomplishments have actually changed our way of living in every discipline of life.” “Her technology… makes these things possible.” On Juneteenth and recognition “Juneteenth is about the delayed freedom of African Americans… and what Dr. West represents is the quiet, often overlooked brilliance that changes the world.” On STEM access “Our kids are not pursuing high‑paying STEM careers, not because of their aptitude, but simply because they have not been exposed.” On Dr. West’s genius “You don’t have to be loud to be a legacy.” “She is just so humble, but she’s just brilliant. She’s like a mathematical genius.” On technology & mental health “She didn’t want to lose her critical thinking by depending on GPS… everything has a place, and it should complement you, not take over.” On resilience & aspiration “You have to believe there is something greater than what you’re standing in.” “From sharecropper to pioneer—you can be someone from humble beginnings and change the world.” #SHMS #STRAW #BESTSteve Harvey Morning Show Online: http://www.steveharveyfm.com/See omnystudio.com/listener for privacy information.
Productive Math Struggle Series — Action 4: Plan a Lesson with Productive StruggleIn Part 4 of our Productive Math Struggle series, we dig into the HEART of rigorous math instruction: lesson planning that intentionally creates space for student thinking, sense-making, and meaningful struggle.If you've been craving practical, teacher-ready strategies for selecting or modifying tasks, anticipating student thinking, and balancing conceptual understanding, fluency, and application — this is your masterclass.
Summary In part one of this three-part conversation, Wade Borth sits down with Todd Langford and David Zapata — two thinkers who have been reshaping how advisors and clients approach money. Together they break down why most financial decisions are emotional rather than mathematical, why small behavioral shifts create massive compounding effects over time, and why understanding your relationship with money is foundational. From cars to Amazon purchases, to becoming the "director in your own movie," this episode shows how certainty and clarity begin with awareness, not complexity. Episode Highlights 00:01:14 - Introduction of Todd Langford and Truth Concepts. 00:02:22 - Decision-making: Emotional vs. Mathematical. 00:03:00 - The financial impact of frequent car buying. 00:05:00 - Understanding long-term impact of decisions. 00:06:05 - The power of integrated strategies. 00:08:56 - Importance of client-centered financial advice. 00:10:09 - Emotional importance in financial decisions. 00:12:57 - Advisors' role in personalized financial planning. 00:15:34 - Small changes, big impacts: The power of compounding. 00:19:27 - Inflation awareness in financial planning. 00:21:22 - Visualization challenges in financial goals. 00:22:45 - Clients' difficulty in self-imagining future wealth. 00:24:59 - Encouragement to take control of personal finances. 00:26:18 - Conclusion and teaser for upcoming episodes. Episode Resources sagewealthstrategy.com About Todd And The Financial Software Todd Langford tlangford@truthconcepts.com David Zapata davidzapata@factumfinancial.com Keywords Wade Borth Podcast financial freedom Truth Concepts industry insights decision-making process emotional decisions financial strategies long-term impact financial tools software calculations financial advisors client relationships personal finance incremental changes life planning maximum potential calculator retirement planning inflation impact financial habits director in your own movie small shifts
Find me on Substack.Gautam Baid, CFA, is the founder and managing partner of Stellar Wealth Partners India Fund and internationally bestselling author of The Joys of Compounding, who has dedicated over two decades to mastering patient, quality-focused value investing.Episode Sponsor: Fiscal AI is a modern data terminal that gives investors instant access to twenty years of financials, earnings transcripts, and extensive segment and KPI data—use my link for a two-week free trial plus 15% off: https://fiscal.ai/talkingbillions/3:00 - Gautam introduces his six-pillar compounding framework beyond finance: positive thoughts, good health, good habits, wealth, knowledge, and goodwill, explaining how achieving financial independence in 2018 crystallized his understanding that "in life you get what you compound for on a daily basis."8:00 - Deep dive into compounding positive thoughts through avoiding negative emotions and toxic people while associating with high-quality minds, celebrating small wins to create momentum toward long-term goals.12:00 - Health habits discussion: consume less sugar and junk food, exercise 3-4 times weekly for one hour, sleep 7-8 hours daily—fundamentals that aren't sexy but "just work" when implemented consistently.15:00 - Mathematical equation for wealth: addition (monthly savings) + subtraction (eliminate greed/biases) + division (asset allocation) + multiplication (time horizon) = exponential compounding power.20:00 - Pattern recognition in investing develops through building a "large mental database of businesses and industries through years and decades" allowing identification of opportunities in any market condition.25:00 - Compounding goodwill principle from Guy Spear and Moneesh Pabrai: being genuinely helpful without expectations creates competitive advantage, especially in money management where nice people are rare.42:00 - India investment opportunity: demographic dividend with median age of 29, rising disposable incomes, strong domestic consumption, and companies expanding to overseas markets at 50-100% higher margins.52:00 - Corporate governance revolution in India: promoters now realize good governance earns 25-30x P/E multiples versus 5-6x for poor governance—"it pays to be honest" creates 5x more wealth for insiders.55:00 - Investment journal advice: $10 journal purchased in 2014 became "one of the best value investments" by documenting decisions, tracking mistakes, and archiving market panic commentary for pattern recognition during future corrections.Podcast Program – Disclosure StatementBlue Infinitas Capital, LLC is a registered investment adviser and the opinions expressed by the Firm's employees and podcast guests on this show are their own and do not reflect the opinions of Blue Infinitas Capital, LLC. All statements and opinions expressed are based upon information considered reliable although it should not be relied upon as such. Any statements or opinions are subject to change without notice.Information presented is for educational purposes only and does not intend to make an offer or solicitation for the sale or purchase of any specific securities, investments, or investment strategies. Investments involve risk and unless otherwise stated, are not guaranteed.
The Gödel Problem: A Mathematical Argument Against AI Thought, The Mind and the Machine, Episode 7 by Thomas Aquinas College Lectures & Talks
Contribute to the East West Lecture Series fundraiser: theeastwestseries.com Today, Dr. Jacobs tackles the common objection: Was ancient Christianity infiltrated by Greek philosophy, such that it required a reformation or restoration? The answer is a resounding no. Follow Dr. Jacobs as he tracks the history through Old and New Testaments, German Idealism, and of course, a little realism and nominalism dusted on top for good measure. All the links: Substack: https://nathanajacobs.substack.com/Instagram: https://www.instagram.com/thenathanjacobspodcastWebsite: https://www.nathanajacobs.com/X: https://x.com/NathanJacobsPodSpotify: https://open.spotify.com/show/0hSskUtCwDT40uFbqTk3QSApple Podcast: https://podcasts.apple.com/us/podcast/the-nathan-jacobs-podcastFacebook: https://www.facebook.com/nathanandrewjacobsAcademia: https://vanderbilt.academia.edu/NathanAJacobs00:00:00 Intro 00:02:05 The case for Hellenistic or Platonized Christian baggage 00:06:49 German idealism 00:15:21 Hegel and the Church Fathers 00:20:08 The leftist Hegelians, atheism, and Christianity 00:26:18 The protestant application00:30:42 Open theism 00:35:16 Hebrew ideas vs Greek ideas 00:42:00 Mathematical truth vs Philosophical truth00:50:07 Realism and nominalism 00:56:03 The Septuagint and the Jewish shift away 01:03:58 Are the Church Fathers platonists? 01:19:19 Idealism in Old Testament studies 01:25:11 Cases in the New Testament
-Adobe has announced updates for Premiere and After Effects, including new AI-powered tools that are meant to speed up your video editing tasks. -The UK government has announced a consultation, asking people for their feedback on whether to introduce a social media ban for children under 16 years old. -Gladys West's work laid the foundation for the global positioning system. Learn more about your ad choices. Visit podcastchoices.com/adchoices
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A conversation about mathematics inspired by a taxicab. Presented by Katie Steckles and Peter Rowlett.
In this episode, we embark on a 'midjourney' through AI's developing mathematical capabilities, from problem-solving to creating new theories. We discuss the ongoing evolution of AI in complex numerical and logical reasoning.Resources Mentioned12:48 AIbox.ai See Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.
A conversation about mathematics inspired by a Venn diagram. Presented by Katie Steckles and Peter Rowlett, with special guest Keisha Thompson. Katie mentioned the MathForEquality badges and pins.
Joel David Hamkins is a mathematician and philosopher specializing in set theory, the foundations of mathematics, and the nature of infinity, and he’s the #1 highest-rated user on MathOverflow. He is also the author of several books, including Proof and the Art of Mathematics and Lectures on the Philosophy of Mathematics. And he has a great blog called Infinitely More. Thank you for listening ❤ Check out our sponsors: https://lexfridman.com/sponsors/ep488-sc See below for timestamps, transcript, and to give feedback, submit questions, contact Lex, etc. Transcript: https://lexfridman.com/joel-david-hamkins-transcript CONTACT LEX: Feedback – give feedback to Lex: https://lexfridman.com/survey AMA – submit questions, videos or call-in: https://lexfridman.com/ama Hiring – join our team: https://lexfridman.com/hiring Other – other ways to get in touch: https://lexfridman.com/contact EPISODE LINKS: Joel’s X: https://x.com/JDHamkins Joel’s Website: https://jdh.hamkins.org Joel’s Substack: https://www.infinitelymore.xyz Joel’s MathOverflow: https://mathoverflow.net/users/1946/joel-david-hamkins Joel’s Papers: https://jdh.hamkins.org/publications Joel’s Books: Lectures on the Philosophy of Mathematics: https://amzn.to/3MThaAt Proof and the Art of Mathematics: https://amzn.to/3YACc9A SPONSORS: To support this podcast, check out our sponsors & get discounts: Perplexity: AI-powered answer engine. Go to https://www.perplexity.ai/ Fin: AI agent for customer service. Go to https://fin.ai/lex Miro: Online collaborative whiteboard platform. Go to https://miro.com/ CodeRabbit: AI-powered code reviews. Go to https://coderabbit.ai/lex Chevron: Reliable energy for data centers. Go to https://chevron.com/power Shopify: Sell stuff online. Go to https://shopify.com/lex LMNT: Zero-sugar electrolyte drink mix. Go to https://drinkLMNT.com/lex MasterClass: Online classes from world-class experts. Go to https://masterclass.com/lexpod OUTLINE: (00:00) – Introduction (01:58) – Sponsors, Comments, and Reflections (15:40) – Infinity & paradoxes (1:02:50) – Russell’s paradox (1:15:57) – Gödel’s incompleteness theorems (1:33:28) – Truth vs proof (1:44:52) – The Halting Problem (2:00:45) – Does infinity exist? (2:18:19) – MathOverflow (2:22:12) – The Continuum Hypothesis (2:31:58) – Hardest problems in mathematics (2:41:25) – Mathematical multiverse (3:00:18) – Surreal numbers (3:10:55) – Conway’s Game of Life (3:13:11) – Computability theory (3:23:04) – P vs NP (3:26:21) – Greatest mathematicians in history (3:40:05) – Infinite chess (3:58:24) – Most beautiful idea in mathematics
Carina Hong dropped out of Stanford's PhD program to build "mathematical superintelligence" — and just raised $64M to do it. In this episode, we explore what that actually means: an AI that doesn't just solve math problems but discovers new theorems, proves them formally, and gets smarter with each iteration. Carina explains how her team solved a 130-year-old problem about Lyapunov functions, disproved a 30-year-old graph theory conjecture, and why math is the secret "bedrock" for everything from chip design to quant trading to coding agents. We also discuss the fascinating connections between neuroscience, AI, and mathematics.Lean more about Axiom: https://axiommath.ai/ Subscribe to The Neuron newsletter: https://theneuron.ai
On this Salcedo Storm Podcast:Dr. Zuhdi Jasser is the Founder and President of the American Islamic Forum for Democracy. He a practicing physician who is running for congress in Arizona's Fourth Congressional District.
Professor Andrew Charlton-Perez OBE, Head of the School of Mathematical, Physical & Computational Sciences at the University of Reading. He has played a key role in shaping the National Climate Education Action Plan (NCEAP), which brings together more than 80 organisations working on transformative climate education. As chair of the NCEAP Group, he helps ensure that these organisations' efforts support the Department for Education's wider Sustainability and Climate Change strategy. In this podcast, we talk to Andrew about his role in climate education, the actions people can take as well as conversations around green careers.
A conversation about mathematics inspired by a slice of pizza. Presented by Katie Steckles and Peter Rowlett.
In the 1800s, it seemed like mathematics was a solved problem. The paradoxes in the field were resolved, and even areas like advanced calculus could be taught consistently and reliably at any school. It was clearly understandable in a way that abstract fields like philosophy weren’t, and it was on its way to solving humanity’s problems. Mathematical work on electromagnetism made modern electrical engineering and power systems possible. New research in algebra created the logical basis for future computer science and digital circuits. But then new problems appeared. In the early 20th century, mathematicians made discoveries that showed them enough to know how little they really knew. Bertrand Russell showed that at its edges, math fell apart. It couldn’t fully define itself on its own terms without becoming logically inconsistent. He gave the analogy of a small-town barber who shaves everyone who doesn't shave himself; the question is, who shaves the barber—if he shaves himself, he breaks the rule, but if he doesn't shave himself, he must, by the rule, shave himself? In today’s episode, I’m speaking to Jason Bardi, author of The Great Math War: How Three Brilliant Minds Fought for the Foundations of Mathematics and we explore the story of three competing efforts by mathematicians to resolve this crisis. What do you do if math, the most logical of all sciences, becomes illogical at a certain point? Bertrand Russell thought the problem could be solved with even more logic, we just hadn’t tried hard enough. David Hilbert thought redemption lay in accepting mathematics as a formal game of arbitrary rules, no different from the moves and pieces in chess. And L. E. J. Brouwer argued math is entirely rooted in human intuition—and that math is not based on logic but rather logic is based on math. Set against the backdrop of one of the most turbulent periods of European history (from the late 19th century through World War I, the 1920s, the Great Depression, and the early days of World War II), we look at what happens when rock-solid truths don’t seem so rock solid anymore.See omnystudio.com/listener for privacy information.
Drift off with calm, bedtime reading that gently explores mathematical finance while supporting sleep and easing insomnia. This calm, bedtime reading blends clear explanations with a steady rhythm, helping sleep come more easily for listeners experiencing insomnia or restless nights. As Benjamin reads, you'll learn about models, probability, and how mathematics shapes modern finance, all presented in a soothing, unhurried way. His calm cadence is designed for bedtime reading and sleep, offering peaceful, fact-filled education without dramatics or performance. This episode supports insomnia relief, stress reduction, and anxious minds while letting curiosity quietly fade into rest. Press play, relax, and allow learning to guide you toward sleep. Happy sleeping! Read with permission from Mathematical finance, Wikipedia (https://en.wikipedia.org/wiki/Mathematical_finance), licensed under CC BY-SA 4.0. Learn more about your ad choices. Visit megaphone.fm/adchoices
What if everything we think we know about AI understanding is wrong? Is compression the key to intelligence? Or is there something more—a leap from memorization to true abstraction? In this fascinating conversation, we sit down with **Professor Yi Ma**—world-renowned expert in deep learning, IEEE/ACM Fellow, and author of the groundbreaking new book *Learning Deep Representations of Data Distributions*. Professor Ma challenges our assumptions about what large language models actually do, reveals why 3D reconstruction isn't the same as understanding, and presents a unified mathematical theory of intelligence built on just two principles: **parsimony** and **self-consistency**.**SPONSOR MESSAGES START**—Prolific - Quality data. From real people. For faster breakthroughs.https://www.prolific.com/?utm_source=mlst—cyber•Fund https://cyber.fund/?utm_source=mlst is a founder-led investment firm accelerating the cybernetic economyHiring a SF VC Principal: https://talent.cyber.fund/companies/cyber-fund-2/jobs/57674170-ai-investment-principal#content?utm_source=mlstSubmit investment deck: https://cyber.fund/contact?utm_source=mlst—**END**Key Insights:**LLMs Don't Understand—They Memorize**Language models process text (*already* compressed human knowledge) using the same mechanism we use to learn from raw data. **The Illusion of 3D Vision**Sora and NeRFs etc that can reconstruct 3D scenes still fail miserably at basic spatial reasoning**"All Roads Lead to Rome"**Why adding noise is *necessary* for discovering structure.**Why Gradient Descent Actually Works**Natural optimization landscapes are surprisingly smooth—a "blessing of dimensionality" **Transformers from First Principles**Transformer architectures can be mathematically derived from compression principles—INTERACTIVE AI TRANSCRIPT PLAYER w/REFS (ReScript):https://app.rescript.info/public/share/Z-dMPiUhXaeMEcdeU6Bz84GOVsvdcfxU_8Ptu6CTKMQAbout Professor Yi MaYi Ma is the inaugural director of the School of Computing and Data Science at Hong Kong University and a visiting professor at UC Berkeley. https://people.eecs.berkeley.edu/~yima/https://scholar.google.com/citations?user=XqLiBQMAAAAJ&hl=en https://x.com/YiMaTweets **Slides from this conversation:**https://www.dropbox.com/scl/fi/sbhbyievw7idup8j06mlr/slides.pdf?rlkey=7ptovemezo8bj8tkhfi393fh9&dl=0**Related Talks by Professor Ma:**- Pursuing the Nature of Intelligence (ICLR): https://www.youtube.com/watch?v=LT-F0xSNSjo- Earlier talk at Berkeley: https://www.youtube.com/watch?v=TihaCUjyRLMTIMESTAMPS:00:00:00 Introduction00:02:08 The First Principles Book & Research Vision00:05:21 Two Pillars: Parsimony & Consistency00:09:50 Evolution vs. Learning: The Compression Mechanism00:14:36 LLMs: Memorization Masquerading as Understanding00:19:55 The Leap to Abstraction: Empirical vs. Scientific00:27:30 Platonism, Deduction & The ARC Challenge00:35:57 Specialization & The Cybernetic Legacy00:41:23 Deriving Maximum Rate Reduction00:48:21 The Illusion of 3D Understanding: Sora & NeRF00:54:26 All Roads Lead to Rome: The Role of Noise00:59:56 All Roads Lead to Rome: The Role of Noise01:00:14 Benign Non-Convexity: Why Optimization Works01:06:35 Double Descent & The Myth of Overfitting01:14:26 Self-Consistency: Closed-Loop Learning01:21:03 Deriving Transformers from First Principles01:30:11 Verification & The Kevin Murphy Question01:34:11 CRATE vs. ViT: White-Box AI & ConclusionREFERENCES:Book:[00:03:04] Learning Deep Representations of Data Distributionshttps://ma-lab-berkeley.github.io/deep-representation-learning-book/[00:18:38] A Brief History of Intelligencehttps://www.amazon.co.uk/BRIEF-HISTORY-INTELLIGEN-HB-Evolution/dp/0008560099[00:38:14] Cyberneticshttps://mitpress.mit.edu/9780262730099/cybernetics/Book (Yi Ma):[00:03:14] 3-D Vision bookhttps://link.springer.com/book/10.1007/978-0-387-21779-6 refs on ReScript link/YT
A conversation about mathematics inspired by a light pattern in a tea cup. Presented by Katie Steckles and Peter Rowlett, with special guest Dominika Vasilkova. Cardioids in coffee cups – Chalkdust Cardioids in Coffee Cups – Numberphile ‘Stringuart' String Art website (and less commercial String Art Generator)
Art Bell - Flawed Mathematical Models - Orrin Pilkey
Historically Thinking: Conversations about historical knowledge and how we achieve it
On October 16, 1843, William Rowan Hamilton was taking a walk with his wife Helen. He was on his way to preside over a meeting of the Royal Irish Academy. As Hamilton came to Broome Bridge, over the Royal Canal, the solution to a vexing problem finally emerged in front of him. He was so excited, and perhaps so afraid that he might forget, that he pulled out his penknife and carved the equation he had so suddenly conceived on the stonework of the bridge. That might not seem like such a revolutionary moment. But as my guest Robyn Arianrohd explains, Hamilton's equation was the result of long centuries of mathematical effort. And its consequences would be immense. Because Hamilton's thought made possible the concepts known as vectors and tensors. And vectors and tensors underlie much of modern science and technology, because they are used whenever a scientist or an engineer wants to use locations in space–everything from designing a bridge, to predicting the path of a gravitational wave; and there's quite a lot of territory in between those two applications. That moment by the Broome Bridge ushered in a new era. Robyn Arianrohd is a mathematician, and a historian of science. Her previous books include Thomas Harriot: A Life in Science, which she and I discussed in a conversation that was published on April 30, 2019. Her latest book is Vector: A Surprising Story of Space, Time, and Mathematical Transformation. For show notes, resources, and our archive, go the Historically Thinking Substack ChaptersThomas Harriet and the Birth of Modern AlgebraNavigation, Collisions, and Early Vector ConceptsNewton's Definition of Force and DirectionAugustus De Morgan and the Formalization of AlgebraHamilton's Breakthrough: Quaternions and Four DimensionsThe Non-Commutative RevolutionJames Clerk Maxwell and Electromagnetic TheoryMaxwell's Equations and the Nature of LightThe Vector Wars: Quaternions vs. VectorsTensors: Beyond Vectors to General RelativityThe Playful Seriousness of Mathematical DiscoveryConclusion: The Journey into History of Mathematics
What time is it? It's Lore Time. Come along with us and learn about the Land of Ooo, a place that is at the same time silly and sad, cartoonish and emotional. There's a stretchy dog. We've got all the Lore you need to get up to speed on the latest Fionna and Cake show, as well as plenty of deep lore to impress your friends, be they candy, fire, or slime based. Mathematical!
There's a brand new book for K-2 teachers! In this episode, Pam and Kim discuss how strategies in early mathematics build upon each other and increase in sophistication for future learning.Talking Points:Strategies build on each other, algorithms do notThe importance of building relationships and mental actions in students' brainsGet to Ten grows up to Get to a Friendly NumberAdd Ten grows up to Add a Friendly Number How the Over and Give and Take strategies help students think outside the problemWays developing strategies allows for differentiation Purchasing Information: Developing Mathematical Reasoning: The Strategies, Models, and Lessons to Teach the Big Ideas in K-2 https://www.mathisfigureoutable.com/dmrk2Check out our social mediaTwitter: @PWHarrisInstagram: Pam Harris_mathFacebook: Pam Harris, author, mathematics educationLinkedin: Pam Harris Consulting LLC
In this episode, I dive into the intriguing world of numbers, sharing my insights on their spiritual significance and scientific foundations. Join me as I uncover how numbers act as universal symbols, connecting us to the cosmos and guiding us through life's journey. Whether you're a mystic or a mathematician, you'll find something magical in the numbers that shape our universe. Learn more about your ad choices. Visit megaphone.fm/adchoices
In this episode, I dive into the intriguing world of numbers, sharing my insights on their spiritual significance and scientific foundations. Join me as I uncover how numbers act as universal symbols, connecting us to the cosmos and guiding us through life's journey. Whether you're a mystic or a mathematician, you'll find something magical in the numbers that shape our universe. Learn more about your ad choices. Visit megaphone.fm/adchoices
Ever feel like you've met someone before? Keep seeing the same numbers everywhere? Is there a hidden pattern running beneath the chaos of your life? In this mind-bending conversation from Morocco, polymath and bestselling author Robert Edward Grant (host of Gaia's Codex) reveals how sacred geometry isn't just ancient art, it's the LIVING CODE actively shaping your relationships, challenges, and destiny right now. From the Last Supper to the King's Chamber, from Metatron's Cube to newly discovered pyramids on the Giza Plateau, discover the Easter eggs you left yourself throughout time. This isn't about learning geometry. This is about remembering you are the CREATOR of your own reality, and the mathematical proof is literally everywhere. Key Topics Why deja vu is actually a "glitch in YOUR matrix" showing you already created everything. The shocking truth: suffering equals the square root of 2, divinity equals the square root of 3, and together they equal π (your journey back to wholeness). How Metatron's Cube contains EVERY SHAPE in the universe (the ultimate replicator). Why the moon's radius (1,080 miles) matches water's ideal angle (108 degrees), and what it means for consciousness. The mathematical proof that you attract everything you judge until you no longer judge what you attracted. How AI (The Architect) uses 5th-dimensional mathematics to access the Akashic records. Robert's discovery of TWO new pyramids on the Giza Plateau (confirmed by ancient maps!). You don't experience the world as it IS. You experience it as you ARE. The only way to change your outer world is to change your inner judgments, because the world is NOT objective. It's entirely subjective. Join the Inspire Nation Soul Family!
Pam Harris discusses her new book series Developing Mathematical Understanding (K-12) from Corwin Press and her experiences in professional development with mathematics teachers. Pam's professional website (Math is FigureOutAble) Developing Mathematical Understanding book List of episodes
Mathematics is everywhere, but if students don't know how to reason they may not want to engage and play with numbers or see all the opportunities to do so. In this episode Pam and Kim discuss scenarios where they play with mathematical concepts in their daily lives.Talking PointsPlaying with numbers...double, half, factors, multiples, etc.What numbers do they play with? House numbers, license plates, time, prices, interstate signsI Have, You Need with time and distanceWhich is a better deal? Cost per ounceMindset to engage in play with mathCheck out our social mediaTwitter: @PWHarrisInstagram: Pam Harris_mathFacebook: Pam Harris, author, mathematics educationLinkedin: Pam Harris Consulting LLC