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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.
Watch the Q&A session here: https://youtu.be/Lv5h-Pp1r6sLooking at the plant world, one discovers beautiful and fascinating structures in the shape and arrangement of leaves, stems and roots. Some are simple and symmetric, other features are arranged in elegant Fibonacci spirals, yet others exhibit fractal-like patterns. How are these structures created with such regularity and reproducibility? Such arrangements often follow simple rules that we can fully understand mathematically.This lecture was recorded by Alain Goriely on 11th November 2025 at Barnard's Inn Hall, London.Professor Alain Goriely FRS is Gresham Professor of Geometry.He is also a mathematician known for dynamical systems, mathematical biology, and mechanics. He developed the mathematical theory of biological growth and is Director of the Oxford Centre for Industrial and Applied Mathematics. His work spans plant tendrils, seashells, umbilical cords, brain modelling, and applied mathematics outreach.The transcript and downloadable versions of the lecture are available from the Gresham College website: https://www.gresham.ac.uk/watch-now/shape-plantsGresham College has offered free public lectures for over 400 years, thanks to the generosity of our supporters. There are currently over 2,500 lectures free to access. We believe that everyone should have the opportunity to learn from some of the greatest minds. To support Gresham's mission, please consider making a donation: https://gresham.ac.uk/support/Website: https://gresham.ac.ukTwitter: https://twitter.com/greshamcollegeFacebook: https://facebook.com/greshamcollegeInstagram: https://instagram.com/greshamcollegeSupport the show
If you enjoy this episode, we're sure you will enjoy more content like this on The Occult Rejects. In fact, we have curated playlists on occult topics like grimoires, esoteric concepts and phenomena, occult history, analyzing true crime and cults with an occult lens, Para politics, and occultism in music. Whether you enjoy consuming your content visually or via audio, we've got you covered - and it will always be provided free of charge. So, if you enjoy what we do and want to support our work of providing accessible, free content on various platforms, please consider making a donation to the links provided below. Thank you and enjoy the episode!Links For The Occult Rejects and The Spiritual Gangsters https://linktr.ee/theoccultrejectsOccult Research Institutehttps://www.occultresearchinstitute.org/Cash Apphttps://cash.app/$theoccultrejectsVenmo@TheOccultRejectsBuy Me A Coffeebuymeacoffee.com/TheOccultRejectsPatreonhttps://www.patreon.com/TheOccultRejects
In this Hedge roundtable, Eyvonne, Tom, and Russ discuss The Amoeba and the Mathematician
[***This podcast is in English.***] Is there such a thing as infinity? Is one infinity bigger than another? Mathematician Walter van Suijlekom takes you on a journey into the world of infinite forms. He explains why infinity isn't something to be afraid of, but to use in the broadest sense of the word. About the speaker Walter van Suijlekom is professor of Noncommutative geometry at Radboud University. This podcast was recorded live during the science festival Oneindig of Radboud University and Radboud Reflects. It is also available as Radboud Science Snack on Spotify or your favorite podcast app.
A huge cold blob of air above Antarctica and bushfires spreading along ridgelines don't appear to have anything in common, yet the strange behaviour of these natural phenomena — and many others — can be understood and explained by mathematics. You can binge more episodes of the Lab Notes podcast with science journalist and presenter Belinda Smith on the ABC Listen app (Australia). You'll find episodes on animal behaviour, human health, space exploration and so much more.Get in touch with us: labnotes@abc.net.auFeaturing:Chantelle Blachut, mathematician at UNSW Canberra
Cédric Villani is one of France's top mathematicians, working across several fields of the discipline. He's won a number of titles and awards for his work. A professor at Claude Bernard Lyon 1 University and member of France's Académie des sciences, Villani is also the author of the new book "Leçons de mathématique joyeuse" – literally "Lessons in joyful mathematics". He spoke to us in Perspective.
Today I want to talk about one of the greatest mathematicians of all time. A genius who, with almost no formal training, made mathematical discoveries that still astonish experts today. His name is Srinivasa Ramanujan, and his story is as extraordinary as the mathematical formulas he created. Despite growing up in poverty and facing enormous challenges, Ramanujan produced ideas that continue to shape modern mathematics. This episode is part of my Greatest Scientists Series, where we explore the lives and contributions of people who transformed our understanding of the world (while learning some new English vocabulary). And today, I want to ask an interesting question: can a mathematician like Ramanujan be considered a scientist? Over the next few minutes, we'll explore his early life in India, his journey to England, the famous collaboration with G.H. Hardy, his remarkable discoveries, his legacy, and finally, we'll reflect on the role of mathematics itself in the world of science. Conversation Club - https://www.patreon.com/thinkinginenglish TRANSCRIPT - https://thinkinginenglish.blog/2025/12/08/365-who-was-ramanujan-the-greatest-mathematician-of-all-time-english-vocabulary-lesson/ AD Free Episode - https://www.patreon.com/thinkinginenglish Thinking in English Bonus Podcast - https://www.patreon.com/collection/869866 YouTube Channel - https://www.youtube.com/@thinkinginenglishpodcast INSTAGRAM - thinkinginenglishpodcast (https://www.instagram.com/thinkinginenglishpodcast/) My Editing Software (Affiliate Link) - https://descript.cello.so/BgOK9XOfQdD Borough by Blue Dot Sessions Contact advertising@airwavemedia.com to advertise on Thinking in English. Thinking in English is part of the Airwave Media podcast network. Learn more about your ad choices. Visit megaphone.fm/adchoices
Immerse yourself in captivating science fiction short stories, delivered daily! Explore futuristic worlds, time travel, alien encounters, and mind-bending adventures. Perfect for sci-fi lovers looking for a quick and engaging listen each day.
No amount of small, blind, and gradual changes to the steam engine could ever have produced the internal combustion engine. To get to that fundamentally new type of engine, an infusion of new information was required. That analogy can be applied to the origin of biological life too. The spectacular order, complexity, and design we see in life could not have been achieved gradually by a process that lacked foresight. On today's ID The Future, host Andrew McDiarmid welcomes mathematician Granville Sewell to the podcast to share some of his compelling arguments for intelligent design. We might think that mathematicians are focused on incredibly complex ideas and equations, way above the everyday thoughts of the rest of us. But as Sewell points out, mathematicians are trained to value simplicity, and complex problems can often be solved in simple ways. Sewell's straightforward, yet profound arguments for intelligent design are worth memorizing and sharing with your friends, family, and associates. Source
As a Mathematician, Businessman, and Teacher, he knows the importance of a good math education and the positive effect it can have on one's life and career path.His life's Mission is to show you how to give your child an "Optimal 21st Century Math Education."To achieve this goal for each student, Triad Math has created math programs for post-elementary middle and high school students, homeschool students, adult learners, industry, and STEM (Science, Technology, Engineering, and Math) students.Triad Math's programs are dramatically different in pedagogy, content, and delivery. Their programs succeed, where other standard math curriculum programs are failing, as testified to by their many ‘graduates.'The Triad Math Six Tier Program is unique and really works for all students. None of the current Standard Math Curriculum programs today can achieve this. All existing math textbooks and graphing calculators are obsolete, just as slide rules, log tables, and trig tables are obsolete.Unlike other programs, Triad Math puts an emphasis and the use of modern technologies, starting with the TI-30Xa calculator in Tiers 1 – 3, and Wolfram Alpha in Tiers 4 – 6. Wolfram Alpha truly revolutionizes the way math problems are solved and how math can and should be taught, learned, and practiced.The creator of Triad Math has taken his life and professional experiences to create Triad Math to be accessible, effective, and efficient for anyone. https://craighane.com/ https://triadmathinc.com/ts/http://www.yourlotandparcel.org
Today I talked to Alfred S. Posamentier, a co-author (with Christian Spreitzer) of Math Makers: The Lives and Works of 50 Famous Mathematicians (Prometheus, 2020). This charming book is more than just mathematics, because mathematicians are not just makers of mathematics. They are human beings whose life stories are often not just entertaining, but are sometimes interwoven with important historical events. Of course you get the math in this book –but I would have read this book just for the fascinating anecdotes. Just for openers, how many other disciplines have people who made remarkable contributions but were arrested for revolutionary activities in their teens, and then killed in a duel at age 21? This is the story of Evariste Galois, just one of the 50 fascinating lives you'll read about in this book. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/new-books-network
Today I talked to Alfred S. Posamentier, a co-author (with Christian Spreitzer) of Math Makers: The Lives and Works of 50 Famous Mathematicians (Prometheus, 2020). This charming book is more than just mathematics, because mathematicians are not just makers of mathematics. They are human beings whose life stories are often not just entertaining, but are sometimes interwoven with important historical events. Of course you get the math in this book –but I would have read this book just for the fascinating anecdotes. Just for openers, how many other disciplines have people who made remarkable contributions but were arrested for revolutionary activities in their teens, and then killed in a duel at age 21? This is the story of Evariste Galois, just one of the 50 fascinating lives you'll read about in this book. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/biography
Today I talked to Alfred S. Posamentier, a co-author (with Christian Spreitzer) of Math Makers: The Lives and Works of 50 Famous Mathematicians (Prometheus, 2020). This charming book is more than just mathematics, because mathematicians are not just makers of mathematics. They are human beings whose life stories are often not just entertaining, but are sometimes interwoven with important historical events. Of course you get the math in this book –but I would have read this book just for the fascinating anecdotes. Just for openers, how many other disciplines have people who made remarkable contributions but were arrested for revolutionary activities in their teens, and then killed in a duel at age 21? This is the story of Evariste Galois, just one of the 50 fascinating lives you'll read about in this book. Learn more about your ad choices. Visit megaphone.fm/adchoices
This Week in Machine Learning & Artificial Intelligence (AI) Podcast
In this episode, Carina Hong, founder and CEO of Axiom, joins us to discuss her work building an "AI Mathematician." Carina explains why this is a pivotal moment for AI in mathematics, citing a convergence of three key areas: the advanced reasoning capabilities of modern LLMs, the rise of formal proof languages like Lean, and breakthroughs in code generation. We explore the core technical challenges, including the massive data gap between general-purpose code and formal math code, and the difficult problem of "autoformalization," or translating natural language proofs into a machine-verifiable format. Carina also shares Axiom's vision for a self-improving system that uses a self-play loop of conjecturing and proving to discover new mathematical knowledge. Finally, we discuss the broader applications of this technology in areas like formal verification for high-stakes software and hardware. The complete show notes for this episode can be found at https://twimlai.com/go/754.
Many legends blaze trails loudly with a roar, but others, like Katherine Johnson, lead direction with a gentle whisper. After the release of the book and th film "Hidden Figures," the world learned about Johnson and her colleagues, the women who played a key role at NASA in America's space race. YouTube: https://www.youtube.com/watch?v=JgcQTUQQDIw
Carina Hong is CEO of Axiom Math, where they're building a self-improving superintelligent reasoner, starting with an AI mathematician. She's a Rhodes Scholar, first-gen college grad and mathematics prodigy who earned dual degrees in mathematics and physics from MIT in 3 years. And a joint JD/PhD at Stanford. They just raised a $64M seed round from B Capital, Greycroft, Madrona, and Menlo Ventures. Carina's favorite books: Proofs from THE BOOK (Author: Martin Aigner, Günter M. Ziegler)(00:02) Intro(00:38) What self-improving mathematical superintelligence means(04:04) Proofs as programs: Lean and the data gap(06:36) How AI proves: human-style vs. Lean-style reasoning(10:43) Carina's journey: from Olympiad problem-solver to theory-builder(14:47) The engine room: data, infra, and building a math knowledge graph(17:42) Verifying results: compile checks vs. LLM judges(18:56) Self-improvement loops: skills libraries, memory, and conjecture↔prover curricula(21:30) Synthetic data & auto-formalization strategy(24:00) Benchmarks that matter: miniF2F, CombiBench, miniCTX v2(26:24) Why combinatorics is uniquely hard for AI(31:13) Compute footprint & scaling philosophy(32:20) In-house Lean tooling and productization path(33:57) Early use cases: formal verification in hardware/software(36:19) Team blueprint: AI, programming languages, and math(37:35) Scaling laws, efficiency, and bottlenecks(38:26) If Axiom works: what becomes cheaper/faster for the world(40:22) Rapid Fire Round--------Where to find Carina Hong: LinkedIn: https://www.linkedin.com/in/carina-hong/--------Where to find Prateek Joshi: Research column: https://www.infrastartups.comNewsletter: https://prateekjoshi.substack.com Website: https://prateekj.com LinkedIn: https://www.linkedin.com/in/prateek-joshi-infiniteX: https://x.com/prateekvjoshi
What if math isn't about grinding through equations, but about training your intuition and changing how your brain works? Mathematician and author David Bessis tells EconTalk's Russ Roberts that the secret of mathematics isn't logic--it's the way we learn to see. He explains why math books aren't meant to be read like novels, how great mathematicians toggle between images and formal proofs, and why we need a third mode of thought--"System 3"--that patiently retrains our intuition and the power of imagination. Bessis and Russ Roberts swap stories about the humility of great mathematicians, how Andrew Wiles "saw" the fix to his proof of Fermat's last theorem, and Ramanujan's dream-revelations that proved true.
How many of us have bought a Lotto ticket when there is a big prize at stake and quietly hoped - this might be the one.
She's uncovered unexpected connections between her field of algebraic combinatorics and other areas in math and physics, making significant contributions to numerous mathematical fields and forging groundbreaking, cross-disciplinary collaborations. Theoretical mathematician Lauren K. Williams is one of four local 2025 MacArthur “Genius” Fellows. We talk with Lauren K. Williams for our annual series, “The Genius Next Door.”
Around 6,000 years ago, the Sahara was a lush grassland. Then, as if a switch flipped, it began to dry out, becoming the desert that we know today. Tipping points are moments in Earth's history where gradual change suddenly becomes rapid and forms a new equilibrium. They're one of the most alarming threats of our planet's near future — and one of the most uncertain. When will a tipping point occur? Mathematicians are attempting to turn vague, apocalyptic visions into something that we can actually prepare for and deal with. On this week's episode, host Samir Patel speaks with contributing writer Gregory Barber about what tipping points can — and cannot — tell us about the future of our planet. This topic was covered in a recent story for Quanta Magazine. Each week on The Quanta Podcast, Quanta Magazine editor in chief Samir Patel speaks with the people behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math. Audio coda courtesy of Gresham College.
This is our weekly compilation of science news.00:00 - The 2025 Physics Nobel Prize: Quite A Surprise5:26 - This Paper Might Change How We See Gravity10:45 - Mathematicians In Denial About AI Replacing Them16:37 - Nuclear Fusion in 5 Years? What is Happening?21:42 - The Webb Telescope Just Observed Faster Than Light Signals
He's one of the most significant scientists of the 19th century, and his work laid the foundation for modern physics, quantum mechanics, and relativity. Scottish physicist and mathematician James Clerk Maxwell is a pivotal figure in the history of modern science, and his scientific study was inspired by the belief that the works of nature reflect the work of a designing intelligence. Today, my guest is mathematics educator, curriculum designer, and medical physicist Amos Tarfa, who helps us profile Maxwell to better understand the great scientist's contributions and lasting influence. Tarfa also unpacks how Maxwell harmonized his faith in God with his scientific reasoning, and gives examples of how his discoveries point toward deeper questions about order, design, and meaning in the universe. This is Part 1 of a two-part conversation. Source
Clare County Council may have decided not to nominate any candidate for the Presidential Election at a special meeting yesterday, but the occasion wasn't without its drama. One candidate accused the council of actively blocking her campaign to get on the ballot, while the Mayor of Ennis branded one hopeful as unprofessional and disrespectful and said their presentation was a disservice to the women of Ireland. The field of 5 candidates involved activists, Gaeilgeoirs and Mathematicians, but ultimately no budding President obtained the magic number. Clare FM's Daragh Dolan has this report from Áras Chontae An Chláir.
This week we rented the top 3 maths movies of all time – A Beautiful Mind, The Imitation Game and 3 Men and a Baby – all in order to be mathematically competent enough to share a pod with one of the world's greatest number nibblers, Marcus du Sautoy. So highly acclaimed and awarded, we could have filled the entire podcast by listing out his many achievements, Marcus is perhaps best known as a Professor in Mathematics, Fellow of the Royal Society and Simonyi Professor for the Public Understanding of Science at Oxford University. But, as well as being one of the very smartest people on the planet, he's also one of the most engaging and enlightening speakers on the unexpected stories to be found in numbers, having written for several national newspapers and appeared on a number of mathematically-inclined TV shows including Mind Games, The Story of Maths and The Code (not to be confused with The Cube). By now you've probably run out of fingers to tally up all the brilliant things he's done, so we shall just wrap up by saying he's also the author of a series of superb books examining the relationship between maths, creativity, music, games and more – including Blue Prints, The Music of Primes and The Creativity Code. (Basically, the fact that it took us all this time to mention he's also an OBE tells you all you need to know. He's an impressive dude.) In an episode where Giles wears his disappointing GCSE results like a hi-vis vest of inadequacy, we ponder the search for meaning in numbers and how the stories behind them can help shape ideas and solve problems. This episode is proudly dedicated to Mr Baleson. Follow Marcus on LinkedIn ///// Timestamps 04:17 - The Influence of a Great Teacher 06:03 - Mathematics as a Language and Creative Outlet 08:44 - The Intersection of Mathematics and the Arts 12:08 - Exploring Creativity in Mathematics 15:17 - The Relationship Between Structure and Artistic Expression 21:10 - The Cicada's Prime Number Life Cycle 30:51 - Patterns and Expectations in Art and Comedy 33:09 - The Role of Mathematics in Problem Solving 43:15 - The Importance of Storytelling in Science 46:25 - The Search for Meaning in Numbers 48:13 - The Dual Nature of Scientific Thinking Marcus' Book recommendations are: A Mathematician's Apology by G.H. Hardy /////
In this episode of HOOS in STEM, we spoke with Jennifer Morse, UVA Professor of Mathematics, whose path to combinatorics defied expectations. Raised on a dairy farm in Vermont, Jennifer's journey took her from liberal arts studies to eventually earning a PhD in mathematics. Now, as one of the field's top researchers, she's preparing to lecture at the 2026 International Congress of Mathematicians.
Looking for a fun and informative way to make sense of all the latest education news? The Education News Comedy Quiz -- Some of the Above is a new podcast you may enjoy. It's co-hosted and produced by one of the producers of Budgeting for Educational Equity.On each episode, two special guest contestants from the world of public education take the quiz and discuss key questions and topics in the news. This month you can play alongside high school senior and student advocate Luisa Sanchez and former big city schools' superintendent Richard Carranza. Both are inspiring leaders and change makers who aren't afraid to challenge the status quo to improve educational systems. Previous episodes to date have featured educators who are leading on equity, including one that focused on School Funding and featured WestEd CEO Jannelle Kubinec at: https://www.buzzsprout.com/2505092/episodes/17415760Visit the Education News Comedy Quiz -- Some of the Above website.Follow the show directly on Apple Podcasts at https://podcasts.apple.com/us/podcast/the-education-news-comedy-quiz-some-of-the-above/id1816289605?i=1000725043370“If you're an educator looking for some laughs, a sense of ‘I feel so seen' via comedy and real talk on news and policy, THIS is the podcast for you!”ABOUT THE RECENT GUESTSLuisa Sanchez is a senior at Boyle County High School in Danville, Kentucky. She serves as board president of the Kentucky Student Voice Team, a statewide organization that empowers students to use their voices to build up an educational system that values and serves them. She is also a journalist and part of her school's academic team and arts academy. Luisa is one of 12 courageous plaintiffs in a lawsuit students in her state have filed to improve opportunities for all students. Richard Carranza is an acclaimed educator who has served in virtually every role, including as Chancellor of the New York City Department of Education, the largest school system in the nation. He also served as Superintendent of the Houston Independent and San Francisco Unified school districts. Richard began his career as a high school bilingual social studies and music teacher, and then as a principal in Tucson, Arizona. Throughout his career, he has championed numerous initiatives to empower students, educators, and parents. He currently serves as the chief of strategy and global Development at IXL. ABOUT THE SHOW'S HOSTSAlex Kajitani is a California Teacher of the Year and author of several books for educators, including Owning It, and You're A Teacher Now. He is an inspiring and engaging speaker, the Rappin' Mathematician, coach, and creator of programs for students and teachers, including Multiplication Nation, Math Success Camp, and the "New Teacher Success" video series.Paul Richman is a Grammy and Academy Award-winning artist who...Wait, hold on -- that's someone else. Actually, Paul is an all-purpose education policy guy who has served as a leader for several statewide education associations, coalitions and policy initiatives. He also produced the "Adventures in Ed Funding" and "Budgeting for Educational Equity" podcasts, and currently serves as an executive producer of the Inside California Education statewide TV series.
In this conversation, Marcus Du Sautoy explores the intricate relationship between mathematics and various forms of art, including music, literature, and visual arts. He discusses how mathematical concepts such as prime numbers, symmetry, and randomness influence creative processes and artistic expressions. Through examples from renowned artists like Shakespeare and Dali, Du Sautoy illustrates how mathematics serves as a blueprint for understanding and creating art, while also emphasizing the emotional and aesthetic dimensions of both fields.Takeaways Mathematics and art are deeply interconnected. The circle is fundamental to both mathematics and nature. Prime numbers are essential building blocks in mathematics. Music often employs mathematical structures for creativity. Shakespeare used prime numbers to disrupt rhythm. Symmetry plays a crucial role in both art and mathematics. Dali's work reflects his fascination with scientific ideas. Theatre allows for abstract exploration of mathematical concepts. Ambiguity is embraced in art but avoided in mathematics. Randomness can lead to unexpected creative outcomes.Chapters 00:00 Blueprints of Mathematics and Art 02:35 Defining Creativity and Its Interplay 04:24 Mathematicians as Collaborators with Artists 07:17 The Fractal Nature of Jackson Pollock's Art 12:54 The Significance of Circles in Mathematics 16:31 Exploring the Mystery of Prime Numbers 19:52 The Role of Primes in Music Composition 28:01 Mathematics and the Structure of Music 29:00 The Mathematical Foundations of Music 31:50 Art and Mathematics: Dali's Exploration 38:56 Theatrical Structures and Mathematical Concepts 43:46 The Distinct Narratives of Numbers and Art 48:07 Symmetry and Randomness: Blueprints of Creativity 58:49 Exploring Creativity Through MathematicsFollow Professor du Sautoy on Twitter, BlueSky, and find his new 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
In this conversation, Eugenia Cheng discusses the importance of making math accessible and engaging for everyone, particularly those who have been discouraged by traditional education methods. She emphasizes the intersection of math and art, the dangers of oversimplifying complex issues with numbers, and the need for a more nuanced understanding of equality and fairness in society. Cheng also highlights the significance of mentorship and the impact of gender dynamics in mathematics, advocating for a more inclusive approach to learning and appreciating math as a creative and thoughtful discipline.Takeaways Many people are put off math due to early education experiences. Math and art should not be pitted against each other. Creativity is essential in STEM fields. Numbers can oversimplify complex realities. Understanding inequality requires recognizing its nuances. Context matters in mathematical reasoning. We often forget important details in data interpretation. Math can be appreciated without full understanding. Building confidence in math is crucial for everyone. Mentorship plays a vital role in academic success.Chapters 00:00 Introduction to Mathematical Laziness 04:21 The Journey of a Mathematician 06:57 Creativity in Math and Art 09:33 Understanding Inequality through Math 11:57 The Dangers of Simplifying with Numbers 15:07 Political Debates and Mathematical Perspectives 17:15 The Importance of Context in Math 17:44 Category Theory and Abstraction in Math 20:29 Neutrality and the Gray Areas of Equality 24:02 Exploring Equality and Its Nuances 25:17 Mathematics in Real-World Contexts 28:49 The Intersection of Math and Marginalized Voices 32:39 Overcoming Gender Bias in Mathematics 35:28 The Role of Gut Instinct in Math 37:54 The Surprising Aspects of Writing a Book 42:51 Building Confidence in Math for Everyone 46:15 Rethinking Fairness and Structural ChallengesFollow Eugenia on Twitter, BlueSky, and on her Website 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
In this conversation, Eugenia Cheng discusses the importance of making math accessible and engaging for everyone, particularly those who have been discouraged by traditional education methods. She emphasizes the intersection of math and art, the dangers of oversimplifying complex issues with numbers, and the need for a more nuanced understanding of equality and fairness in society. Cheng also highlights the significance of mentorship and the impact of gender dynamics in mathematics, advocating for a more inclusive approach to learning and appreciating math as a creative and thoughtful discipline.Takeaways Many people are put off math due to early education experiences. Math and art should not be pitted against each other. Creativity is essential in STEM fields. Numbers can oversimplify complex realities. Understanding inequality requires recognizing its nuances. Context matters in mathematical reasoning. We often forget important details in data interpretation. Math can be appreciated without full understanding. Building confidence in math is crucial for everyone. Mentorship plays a vital role in academic success.Chapters 00:00 Introduction to Mathematical Laziness 04:21 The Journey of a Mathematician 06:57 Creativity in Math and Art 09:33 Understanding Inequality through Math 11:57 The Dangers of Simplifying with Numbers 15:07 Political Debates and Mathematical Perspectives 17:15 The Importance of Context in Math 17:44 Category Theory and Abstraction in Math 20:29 Neutrality and the Gray Areas of Equality 24:02 Exploring Equality and Its Nuances 25:17 Mathematics in Real-World Contexts 28:49 The Intersection of Math and Marginalized Voices 32:39 Overcoming Gender Bias in Mathematics 35:28 The Role of Gut Instinct in Math 37:54 The Surprising Aspects of Writing a Book 42:51 Building Confidence in Math for Everyone 46:15 Rethinking Fairness and Structural ChallengesFollow Eugenia on Twitter, BlueSky, and on her Website 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
David Stewart is a mathematician at the University of Manchester. He's part of the group that devised this new strategy, and he speaks to Mark Leishman.
How many oranges can you fit in a box? Mathematicians are obsessed with perfecting their answer to this question in not just our familiar three-dimensional world, but in higher and higher dimensions beyond it. For several decades, they’ve made only minimal progress toward finding an optimal solution. Then, this past April, an outsider to the field named Boaz Klartag posted a proof that bested these previous records by a significant margin. In this episode of The Quanta Podcast, host Samir Patel and Quanta math staff writer Joseph Howlett discuss how Klartag resuscitated an old technique that experts had abandoned decades earlier to optimize sphere packing in any arbitrarily high dimension. This topic was covered in a recent story for Quanta Magazine. Each week on The Quanta Podcast, Quanta Magazine editor in chief Samir Patel speaks with the people behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math. Audio coda created by Daniel Simion
Immerse yourself in captivating science fiction short stories, delivered daily! Explore futuristic worlds, time travel, alien encounters, and mind-bending adventures. Perfect for sci-fi lovers looking for a quick and engaging listen each day.
In this episode of Breaking Math, Autumn explores the complex world of AI ethics, focusing on its implications in education, the accuracy of AI systems, the biases inherent in algorithms, and the challenges of data privacy. The discussion emphasizes the importance of ethical considerations in mathematics and computer science, advocating for transparency and accountability in AI systems. Autumn also highlights the role of mathematicians in addressing these ethical dilemmas and the need for society to engage critically with AI technologies.Takeaways AI systems can misinterpret student behavior, leading to false accusations. Bias in AI reflects historical prejudices encoded in data. Predictive analytics can help identify at-risk students but may alter their outcomes. Anonymization of data is often ineffective in protecting privacy. Differential privacy offers a way to share data while safeguarding individual identities. Ethics should be a core component of algorithm design. The impact of biased algorithms can accumulate over time. Mathematicians must understand both technical and human aspects of AI. Society must question the values embedded in AI systems. Small changes in initial conditions can lead to vastly different outcomes.Chapters 00:00 Introduction to AI Ethics 02:14 The Accuracy and Implications of AI in Education 04:14 Bias in AI and Its Consequences 05:45 Data Privacy Challenges in AI 06:37 Mathematical Solutions for Ethical AI 08:04 The Role of Mathematicians in AI Ethics 09:42 The Future of AI and Ethical ConsiderationsSubscribe 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, Website, YouTube, TikTokFollow Autumn on Twitter and InstagramBecome a guest hereemail: breakingmathpodcast@gmail.com
Send us a textRaphael Douady is a French mathematician who works in both academia as well as quantitative finance. His specialization is in chaos theory and financial mathematics. In this interview he shares how he got into mathematics and why he left for quantitative finance. We also briefly discuss AI in the finance space as he has a paid seminar on July 31st called, "Opportunities and Challenges in Leveraging AI for Financial Markets." The conversation is a fun discussion of the challenges of working in the finance world from a math and quant perspective.Opportunities and Challenges in Leveraging AI for Financial Markets:https://wallstreetscholars.com/seminar/b2310304-b22a-4622-8a47-1698b136b00f?rc=fqRaphael Douady:https://www.linkedin.com/in/raphael-douady/Polymodels Textbook:https://amzn.to/3IVuEJVOVVO Labs is a proud sponsor of Talking Tuesday with Fancy Quant!www.OVVOLabs.comDigital Disruption with Geoff Nielson Discover how technology is reshaping our lives and livelihoods.Listen on: Apple Podcasts SpotifySupport the show
Dr. Jessica Rose is an artist, musician, mathematician, professional surfer, biologist, science researcher & data analysis. Dr. Rose has a Post Doc in Biochemistry at Technion Institute of Technology, Post Doc in Molecular Biology at Hebrew University of Jerusalem, PhD in Computational Biology at Bar-Ilan University, Master's in Medicine (Immunology) at Memorial University of Newfoundland, and BSc in Applied Mathematics at Memorial University of Newfoundland.DR. JESSICA ROSE:Twitter: https://twitter.com/JesslovesMJKSubStack: https://jessicar.substack.com/YouTube: https://www.youtube.com/channel/UC0EhWf2Vswdg7DwKKKZ34ngTHE RIPPLE EFFECT PODCAST:WEBSITE: http://TheRippleEffectPodcast.comWebsite Host & Video Distributor: https://ContentSafe.co/SUPPORT:PATREON: https://www.patreon.com/TheRippleEffectPodcastPayPal: https://www.PayPal.com/paypalme/RvTheory6VENMO: https://venmo.com/code?user_id=3625073915201071418&created=1663262894MERCH Store: http://www.TheRippleEffectPodcastMerch.comMUSIC: https://music.apple.com/us/album/the-ripple-effect-ep/1057436436SPONSORS:OPUS A.I. Clip Creator: https://www.opus.pro/?via=RickyVarandasUniversity of Reason-Autonomy: https://www.universityofreason.com/a/2147825829/ouiRXFoL WATCH:RUMBLE: https://rumble.com/c/therippleeffectpodcastBANNED.VIDEO: https://banned.video/channel/the-ripple-effect-podcastOFFICIAL YOUTUBE: https://www.youtube.com/@TheRippleEffectPodcastOFFICIALYOUTUBE CLIPS CHANNEL: https://www.youtube.com/@RickyVarandasTikTok: https://www.tiktok.com/@ricky.varandasLISTEN:SPOTIFY: https://open.spotify.com/show/4lpFhHI6CqdZKW0QDyOicJiTUNES: http://apple.co/1xjWmlFPodOmatic: https://www.podomatic.com/podcasts/rvtheory6CONNECT:TeleGram: https://t.me/TREpodcastX: https://x.com/RvTheory6IG: https://www.instagram.com/rvtheory6/ FB: https://www.facebook.com/TheRippleEffectPodcast/THE UNION OF THE UNWANTED: https://linktr.ee/TheUnionOfTheUnwanted
Is maths just about numbers and equations? Not even close. Today we're exploring the hidden power of mathematical thinking with Junaid Mubeen, mathematician and author of Think Like a Mathematician. From decoding conspiracy theories to escaping political echo chambers, calculus and dimensionality shape the way we see the world, even if we don't realise it.
Show Summary:Natasha sits down with Rolanda Baldwin, a dynamic leader whose 20+ years in math education are transforming the way we think about numbers. Rolanda's journey is nothing short of inspiring: from her early days as a classroom teacher and instructional coach in North Carolina, to serving as a district curriculum coordinator, and then rising through the ranks at UnboundEd from math specialist to Math Director. Now, as Vice President of Program Design, she's spearheading the development of cutting-edge math and UPP programs that are setting new standards in education.Discover how Rolanda's passion is empowering every learner to see themselves as “math people.” Through her groundbreaking GLEAM framework - delivering Grade-Level, Engaging, Affirming, and Meaningful instruction - she equips educators with the tools to re-engineer math education and ignite a lifelong love of learning. Tune in to catch insights that are as transformative as they are practical!About Rolanda Baldwin: With two decades of experience, Rolanda has worn many hats throughout her journey. She's been a middle and high school math teacher, a math instructional coach, and a district math curriculum coordinator in a large North Carolina district. Rolanda's love for mathematics education led her to join UnboundEd as a math specialist, where she rose to the role of Math Director. Today, she proudly serves as the Vice President of Program Design, where she's responsible for overseeing the growth and development of UnboundEd's entire math and UnboundEd Planning Process (UPP) program portfolio. Rolanda's thoughtful approach to program development and active involvement in strategic organizational initiatives and external partnerships are testaments to her sincere commitment to her craft. Her enthusiasm for mathematics education is infectious, and she's dedicated to empowering every individual to become a "math person." Rolanda is passionate about reshaping educational systems and frameworks to help educators plan and deliver grade-level, engaging, affirming, and meaningful math instruction.About UnboundEd:UnboundEd is a trailblazing force in education, partnering with passionate educators to transform classrooms into hubs of high-quality, dynamic learning where every single student thrives. By championing innovative, research-based frameworks like GLEAM, UnboundEd is redefining the teaching landscape and inspiring educators to push the boundaries of what's possible in shaping tomorrow's learners.Links from the Show:Related The STEM Space Podcast Episodes 187. How to Make Math Meaningful ft. Ki Karou of MIND Education180. The Secret to Loving Math ft. Nichole Austion of the National Math and Science Initiative179. Seeing Students as Mathematicians ft. Cherelle McKnight of Illustrative MathematicsVivify STEM Blog Posts I Didn't Always Want to be an EngineerUnderstanding a Framework for P-12 Engineering LearningScientific Method vs. Engineering Design Process: Which is used in STEM learning?Vivify STEM LessonsFREE! - Using Geometry to Build a Safe Shelter!Paper Football Math ActivityHeart Rate Ratios & Graphing ActivityFREE! - Add Math Practice to any Design Challenge using these Editable Budget SheetsOther STEM ResourcesUnboundEdZaretta Hammond's Culturally Responsive Teaching and the Brain(book)Email us your questions!THE STEM SPACE SHOWNOTESTHE STEM SPACE FACEBOOK GROUPVIVIFY INSTAGRAMVIVIFY FACEBOOKVIVIFY XVIVIFY TIKTOKVIVIFY YOUTUBEVIVIFY BLUESKY
Narrated by Mindy Thomas! You are brilliant at math. The only problem is, other people don't see you as a genius — they judge you for how you look instead of for what's in your mind. And the stuff in your mind is truly out of this world! In order to make history, you'll have to push past the doubt of others... and shoot for the stars.Be the first to know about Wondery's newest podcasts, curated recommendations, and more! Sign up now at https://wondery.fm/wonderynewsletterListen to Whose Amazing Life? on the Wondery App or wherever you get your podcasts. You can listen early and ad-free on Wondery+. Join Wondery+ in the Wondery App or Wondery Kids+ Apple Podcasts. Start your free trial by visiting wondery.com/links/whose-amazing-life/ now.See Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.
Turbulence is a notoriously difficult phenomenon to study. Mathematicians are now starting to untangle it at its smallest scales. This is the sixth episode of The Quanta Podcast. In each episode, Quanta Magazine editor in chief Samir Patel speaks with the minds behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math. Audio coda provided by Mount Washington Observatory
Show Summary:Have you used ST Math in your classroom? In today's episode of The STEM Space, Natasha chats with Ki Karou, Senior Director of Product at MIND Education, creators of this game-based math program. Their goal is to challenge students through active, visual learning and critical thinking that teaches students not only to learn math, but how to think. Tune in on a great conversation including how Ki believes we should shift from “real-world” problem solving to “meaningful” problem-solving.About Ki Karou:Ki Karou, senior director of product at MIND Education, overseeing an entire team that is all about practical, low-lift strategies for sparking meaningful math conversations in any classroom—no extra prep, no fancy materials needed. It's super actionable stuff for teachers who want to make math more collaborative and engaging without blowing up their lesson plans.About Mind Education: MIND Education is transforming math learning with neuroscience-driven, game-based programs like ST Math, designed to make math visual, intuitive, and accessible. With over 25 years of research-backed solutions, they empower students to develop deep conceptual understanding and build confidence in problem-solving. Their mission is simple: help students think, not just memorize, creating meaningful learning experiences that change how math is taught and understood.Links from the Show:Related The STEM Space Podcast Episodes 180. The Secret to Loving Math ft. Nichole Austion of the National Math and Science Initiative179. Seeing Students as Mathematicians ft. Cherelle McKnight of Illustrative MathematicsIs Teaching Engineering Bad? - Part 1 and Part 2Vivify STEM Blog Posts How to Teach Growth Mindset and Failing ForwardNot all STEM is Equal: 3 Stages of STEM EducationClaire: I Didn't Always Want to be an Engineer Vivify STEM LessonsAstronaut Training: 4 Cs of STEM - Creativity, Collaboration, Communication, and Critical ThinkingFREE! - Using Geometry to Build a Safe Shelter!Paper Football Math ActivityHeart Rate Ratios & Graphing Activity FREE! - Add Math Practice to any Design Challenge using these Editable Budget SheetsOther STEM ResourcesKi Karou | LinkedInMIND EducationThe Game Believes in You: How Digital Play Can Make Our Kids Smarter book“And you think they'll qualify for Bletchley because they're good at crossword puzzles?” Imitation Game clipGain access to our 200+ Lessons (& growing) STEM Space Library!THE STEM SPACE SHOWNOTESTHE STEM SPACE FACEBOOK GROUPVIVIFY INSTAGRAMVIVIFY FACEBOOKVIVIFY XVIVIFY TIKTOKVIVIFY YOUTUBEVIVIFY BLUESKY
Thanks to our sponsor, Venice.AI. Get 20% off a pro plan using our link: venice.ai/coolstuff and code coolstuff. At Secret Math Meeting, Researchers Struggle to Outsmart AI Frog Saunas Offer a Steamy Lifeline Against a Deadly Amphibian Pandemic Connect with Cool Stuff: coolstuffcommute@gmail.com Learn more about your ad choices. Visit megaphone.fm/adchoices
Mathematician and philosopher John Lennox has a new and forward-looking book, “2084: Artificial Intelligence and the Future of Humanity” — just what will the world look like a hundred years after the predicted grim dystopia found in “1984”?See omnystudio.com/listener for privacy information.
Math to many is just another class to struggle through; just another course that has to be taken in order to graduate or get into college. And one of the most common questions among math-haters in school is this: Why do I need to know this if I'm not going into math for a career? The reason is simple. Math is God's way of laying out the universe. Dr. William West discusses his years of research, in his new "Sacred Science," that attributes God's universal creation to eight mathematical equations.
Mathematicians have started to prepare for a profound shift in what it means to do math. This is the second episode of our new weekly series The Quanta Podcast, hosted by Quanta magazine Editor-in-Chief Samir Patel. This week’s guest is Jordana Cepelewicz; she recently published “Mathematical Beauty, Truth and Proof in the Age of AI” for Quanta’s AI special package. (If you’ve been a fan of Quanta Science Podcast, it will continue as ‘audio edition episodes’ in this same feed every other week.)
Gavin Ortlund discusses whether John Lennox and Alex O'Connor have identified the best argument for God in their recent interview. See the original video: https://youtu.be/3gKCwldMZS8?si=GMiCG_bTmuiHSsEITruth Unites (https://truthunites.org) exists to promote gospel assurance through theological depth. Gavin Ortlund (PhD, Fuller Theological Seminary) is President of Truth Unites, Visiting Professor of Historical Theology at Phoenix Seminary, and Theologian-in-Residence at Immanuel Nashville.SUPPORT:Tax Deductible Support: https://truthunites.org/donate/Patreon: https://www.patreon.com/truthunitesFOLLOW:Website: https://truthunites.org/Instagram: https://www.instagram.com/truth.unites/Twitter: https://twitter.com/gavinortlundFacebook: https://www.facebook.com/TruthUnitesPage/
What do the KGB and the former CEO of Cincinnati Children's Hospital have in common? At different times, they’ve each looked to a guy named Eugene Litvak for help. He only said yes to Cincinnati — but he saved that hospital more than a hundred million dollars a year. For the last few decades, Litvak – a Soviet émigré with a PhD in math – has been on a mission: save U.S. hospitals from financial ruin, and improve the lives of doctors, nurses, and patients. He says he has just the formula to do it, lots of prominent experts agree, and he’s documented impressive results so far: Financial savings, fewer hospital-related deaths, lower staff turnover, and shorter wait times. But Litvak and his allies are still struggling to convince more hospital CEOs to try his method. We talk with Litvak about his wild life story and how he found the fix that he says could revolutionize American hospitals. And we speak with experts to determine why more hospitals don’t try it. Here’s a transcript of this episode. Send your stories and questions. Or call 724 ARM-N-LEG. Of course we’d love for you to support this show.See omnystudio.com/listener for privacy information.
Today our guest is Alex Kajitani the 2009 California Teacher of the Year and also The Rappin' Mathematician. We talk to Alex about the foundational role that relationships play in education. He unpacks the three essential components every relationship must have and highlights the different types of relationships students navigate daily—with themselves, their peers, the adults on campus, and the content they're learning. Alex challenges the common belief that confidence leads to competence, offering a powerful reframe. He leaves us with a compelling reminder: the simple act of consistently showing up can make a profound difference in a student's life. Learn More About CharacterStrong: Access FREE MTSS Curriculum Samples Request a Quote Today! Visit the CharacterStrong Website Alex Kajitani is the 2009 California Teacher of the Year, and a Top-4 Finalist for National Teacher of the Year. He is the author of several books, including Owning It, which **was named “Recommended Reading” by the U.S. Department of Education. He also has a new book out, for new teachers, titled “You're a Teacher Now! What's Next?” and it's getting rave reviews. Alex is known around the world as “The Rappin' Mathematician, has a popular TED Talk, and was honored at The White House. He was also featured on The CBS Evening News, where Katie Couric exclaimed, “I LOVE that guy!” (and you will too!). For more info, visit www.AlexKajitani.com