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Math! Science! History!

Gabrielle Birchak

Why do some scientific breakthroughs look different up close than they do in our textbooks? How did math quietly shape the modern world?
Math! Science! History! explores the human side of discovery, including the rivalries, the failed attempts, the bold ideas, and the marginalized voices behind the equations and experiments that changed science, technology, and everyday life.
Hosted by Gabrielle Birchak, who holds degrees in mathematics and journalism, the show connects codebreaking, astronomy, probability, physics, and innovation to the world we live in today.
If you enjoy science stories, historical investigations, and clear math grounded in context, clarity, and research, this show is for you.
New episodes twice weekly.
Visit www.MathScienceHistory.com for more information.

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  • 22 episodes
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  • Avg 13 min
  • English
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  • S7 · E229
    Thursday · 19 min

    REPOST: When Women Gather

    What happens when women gather? Throughout the eighteenth century, women across Europe began creating intellectual communities where they could discuss science, mathematics, philosophy, politics, literature, and medicine. During the Enlightenment, these gatherings helped women challenge the idea that intellectual discovery belonged exclusively to men. Women such as Laura Bassi, Maria Gaetana Agnesi, Émilie du Châtelet, Catharine Macaulay, Caroline Herschel, and many others built on one another's work and created a path for future generations of women in science. And that path matters far beyond science. When women gather, exchange knowledge, encourage one another, and make room for the next woman, they can change science, politics, education, and society. Resources • Read the original "When Women Gather" article • Download my list of eighteenth-century women in science • Laura Bassi, University of Bologna • Émilie du Châtelet's translation of Newton's Principia, Bibliothèque nationale de France • A Vindication of the Rights of Woman, Library of Congress • Caroline Herschel, Royal Astronomical Society A Note from Gabrielle After seven years of making Math! Science! History!, I am putting the podcast on hiatus. This isn't goodbye. It is a pause, and a chance to step back, breathe, and think about what comes next. Thank you for gathering with me all these years. As this episode reminds us, when women gather, we share knowledge, empower one another, and create paths for the women who come after us. And that is a pretty wonderful place to pause. 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h 🌍 Let's Connect!Bluesky: https://bsky.app/profile/mathsciencehistory.bsky.social YouTube: Math! Science! History! - YouTube Instagram: https://www.Instagram.com/GabrielleBirchak 🎧 Enjoying the Podcast? ☕ Support the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is public domain and has no Copyright and no rights reserved. Selections from The Little Prince by Lloyd Rodgers Until 2027, carpe diem!

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  • S7 · E228
    August 21 · 8 min

    FLASHCARDS! Three Lessons from a Tobacco Engineer on Curiosity and Identity

    Your job is what you do, not who you are - and that distinction could change your life. Gabrielle Birchak spotlights the astonishing story of Paul Tannery, a daytime engineer in the French tobacco administration whose after-hours curiosity helped reshape the history of mathematics and science.If you've ever felt like your work has started to define your entire identity, this episode offers a powerful reset. Gabrielle makes the case for building a second life around curiosity, hobby, and learning - not as a luxury, but as a source of well-being, purpose, and even legacy.You'll discover: · Why meaningful interests outside work are linked to lower stress and higher life satisfaction · How hobbies and non-work activities can strengthen mental health across cultures · Why curiosity matters even when it never becomes "productive" · The surprising power of sharing what you learn with other people · A simple 20-minute weekly practice to become more than your job title Gabrielle connects Tannery's life to modern research, including findings on psychological detachment from work and global studies on hobby engagement and mental well-being. The result is a short episode with a big message: the things you pursue for joy may end up shaping your life more than the work that pays the bills. Perfect for anyone feeling stuck in their role, hungry for a fuller identity, or looking for permission to follow their curiosity again. If you need a reminder that learning for its own sake still matters, this one will leave you thinking differently about your time, your talents, and your future. Notable Quotes · "Your job is what you do, but it does not have to be who you are." · "Curiosity is not a distraction from life. It is one of the things that makes life richer." · "Knowledge grows when it is shared." 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h 🎧 Enjoying the Podcast? 🔗 Explore more on our website: mathsciencehistory.com ☕ Support the Show: Coffee!! PayPal Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is public domain and has no Copyright and no rights reserved. Selection is from The Little Prince by Lloyd Rodgers Subscribe on your favorite podcast platform Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Until next time, carpe diem!

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  • S7 · E227
    August 18 · 33 min

    Paul Tannery: The Tobacco Engineer Who Changed the History of Math

    Paul Tannery didn't begin his career intending to become one of the most influential historians of mathematics. He trained as an engineer at the École Polytechnique and spent much of his professional life working in France's state tobacco administration. But after work, Tannery pursued a very different passion: ancient mathematics, astronomy, philosophy, and the history of science. What began as an intellectual interest became a lifetime of scholarship. 3 TAKEAWAYS: 1. How Paul Tannery transformed a personal passion into groundbreaking scholarship 2. Why Tannery believed historical claims needed evidence, not repetition 3. Why your "side interest" may matter more than you realize RESOURCES: Paul Tannery — MacTutor History of Mathematics Archive René Taton, "Paul Tannery (1843–1904) Palatine Library - Complesso Monumentale della Pilotta 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h 🎧 Enjoying the Podcast? ☕ Support the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is public domain and has no Copyright and no rights reserved. Selections from The Little Prince by Lloyd Rodgers Waiting for You by Pawel Feszczuk – from Free Music Archive – CC 4.0 Train by Sergey Cheremisinov -from Free Music Archive – CC 4.0 Serene Sonnet by Oleskii Holubiev from Pixabay – CC 0.0 Until next time, carpe diem!

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  • S7 · E226
    August 10 · 9 min

    MOMENTUM! Solve Your Relationship Equations

    In this episode of Momentum Monday, I cover how the ancient mathematician Diophantus, who revolutionized problem-solving by focusing on relationships between numbers, can inspire us to rethink our own relationships. Instead of fixating on fixing others, I challenge you to observe, question, and experiment with your connections, just like solving an equation. Whether it's a coworker, family member, or friend, I share how curiosity, pattern recognition, and small changes can shift the momentum in your favor. Plus, I reference research from Albert Bandura, Daniel Kahneman, and B.F. Skinner to ground these ideas in psychology. 🔗 Sources & Further Reading: Diophantus and the Birth of Algebra Albert Bandura's Social Learning Theory Daniel Kahneman's Thinking, Fast and Slow B.F. Skinner Science and Human Behavior 3 Things You'll Learn How to observe relationships like a mathematician, identify patterns, not just problems. Why questioning your assumptions (e.g., "Are they ignoring me or overwhelmed?") prevents misunderstandings. How to experiment with small changes to shift the dynamic in any relationship. 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h 🎧 Enjoying the Podcast? 🔗 Explore more on our website: mathsciencehistory.com ☕ Support the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is Public Domain Mark 1.0 Universal and has no Copyright and no rights reserved. Selections from Violin Machine: A Deconstruction of the Bach Concerto by Lloyd Rodgers Until next time, carpe diem!

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  • S7 · E225
    August 5 · 19 min

    Diophantus, AI, and the Lost Art of Thinking

    AI may verify proofs, but it can't replace curiosity. In this episode, I travel back nearly 1,800 years to meet Diophantus of Alexandria and explore how his approach to mathematics still shapes modern problem-solving, from Fermat's Last Theorem to today's AI-assisted research. Along the way, we discover why the real value of mathematics isn't finding answers. it's learning how to think. 🌐 Website: https://www.MathScienceHistory.com ☕Support the show: https://paypal.com/ncp/payment/PR7F7ST49GDNA • Discover why Diophantus is considered one of history's most influential mathematicians. • Learn how his work inspired Fermat's Last Theorem centuries later. • Explore whether AI is changing mathematics. or simply giving mathematicians better tools. Follow the show, subscribe wherever you listen, and leave a review to help others discover Math! Science! History! Music: All music is public domain and has no Copyright and no rights reserved. Selections from The Little Prince by Lloyd Rodgers Valorium – by It's Trigi – No Copyright and no rights reserved Documentary Background – by MiroMax Music – No Copyright and no rights reserved Blackbook 7/1/01 from On The Sensations of Tone – by Lloyd Rodgers – No Copyright and no rights reserved Galliard á3 in g by Orlando Gibbons - recorded, mixed, and mastered by Dr. Phillip W. Serna - licensed under the Creative Commons Attribution-Share Alike 4.0 International license Cute loop [c major] [93bpm] by deadrobotmusic -- https://freesound.org/s/555708/ -- License: Creative Commons 0 Subscribe on your favorite podcast platform Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Until next time, carpe diem! - Gabrielle

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  • S7 · E224
    July 29 · 18 min

    REPOST: From Ancient Greece to AI: Can Mathematics Really Be Patented?

    Can mathematics be patented? In this episode, I explore one of the most fascinating questions in mathematics, intellectual property, and computer science by tracing the history of patents from the ancient world to today's software and AI algorithms. Along the way, we'll discover why mathematical ideas themselves remain unpatentable while the innovative ways we apply them can change technology, and the future. 🌐 Website: https://www.MathScienceHistory.com ☕Support the show: https://paypal.com/ncp/payment/PR7F7ST49GDNA You'll learn: • Why mathematics itself cannot be patented but mathematical applications sometimes can. • How ancient patent and copyright ideas evolved into modern intellectual property law. • How the MP3, Fourier Series, FFT, and the Alice v. CLS Bank case shaped today's software patents. Follow the show, subscribe on your favorite podcast platform, and leave a review to help more people discover Math! Science! History! Music: All music is public domain and has no Copyright and no rights reserved. Selections from The Little Prince by Lloyd Rodgers Subscribe on your favorite podcast platform! Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Until next time, carpe diem!

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  • S7 · E223
    July 24 · 9 min

    FLASHCARDS! Think Like John Dalton: 3 Scientific Habits You Already Use

    You don't have to be a famous chemist to think like one. This week, I share three "flashcards" inspired by John Dalton that reveal how you're already using the same habits of observation, organization, and intellectual curiosity that have fueled scientific discovery for centuries. 🌐 Website: https://www.MathScienceHistory.com ☕Support the show: https://paypal.com/ncp/payment/PR7F7ST49GDNA You'll learn: • Why noticing everyday patterns is the first step of scientific thinking. • How organizing information is one of the most powerful skills of mathematicians and scientists. • Why changing your mind when new evidence appears is a sign of wisdom—not weakness. Follow the podcast, subscribe on your favorite platform, and leave a review to help more people discover Math, Science, and History. Flashcard Music: Gift of the Stars from The Little Prince by Lloyd Rodgers. All music is public domain and has no Copyright and no rights reserved. Subscribe on your favorite podcast platform Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Until next time, carpe diem!

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  • S7 · E222
    July 13 · 6 min

    MOMENTUM! 3 Success Lessons from John Dalton That Will Change Your Week

    Success doesn't begin with talent, it begins with the habits you practice when no one is watching. This week, I share three powerful life lessons from chemist John Dalton that can help you build momentum, overcome obstacles, and develop the kind of character that earns lasting respect. 🌐 Website: https://www.MathScienceHistory.com☕Support the show: https://paypal.com/ncp/payment/PR7F7ST49GDNA You'll learn: • How to move forward even when opportunities seem out of reach. • Why consistent daily habits create extraordinary results over time. • How humility and genuine relationships build a legacy that lasts. Follow the podcast, subscribe on your favorite platform, and leave a review to help more people discover Math, Science, and History. Momentum Music: All music is Public Domain Mark 1.0 Universal and has no Copyright and no rights reserved. Selections from Violin Machine: A Deconstruction of the Bach Concerto by Lloyd Rodgers Subscribe on your favorite podcast platform Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Until next time, carpe diem!

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  • S7 · E221
    July 8 · 11 min

    REPOST: How John Dalton's Atomic Theory Changed Science Forever

    I'm revisiting one of my first episodes: the story of John Dalton, the self-taught Quaker schoolteacher who never attended university yet gave modern atomic theory its first real momentum. Barred from English universities for his faith, Dalton turned stubborn curiosity into world-changing science, mapping colorblindness before anyone understood it and sketching the first table of elements in a notebook. This is how one weaver's son carried science from a Cumberland village to the Large Hadron Collider. You'll learn: • How a Quaker weaver's son barred from university built the foundation of atomic theory • The stockings mix-up that led Dalton to discover, and later name, colorblindness • Why his five-element notebook sketch from 1803 still echoes inside the Large Hadron Collider 🌐 Website: https://www.MathScienceHistory.com ☕Support the show: https://paypal.com/ncp/payment/PR7F7ST49GDNA Follow or subscribe so you never miss an episode. Please leave a review, it helps more curious minds find the show! Music & Closing Credits Music: All music is public domain and has no Copyright and no rights reserved. Selections from The Little Prince by Lloyd Rodgers Subscribe on your favorite podcast platform Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Until next time, carpe diem! - Gabrielle

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  • S7 · E220
    July 3 · 8 min

    FLASHCARDS! Francis Bacon, Margaret Mead, and Paul Erdős on the Science of Everyday Thinking

    Your instinct to question evidence, challenge "the way things are," and fall in love with a hard problem isn't a personality quirk; it's the exact thinking that built modern science, anthropology, and mathematics. In this Flashcards Friday episode, I break down three quick "cards" inspired by Sir Francis Bacon, Margaret Mead, and Paul Erdős, and show how their most famous breakthroughs mirror instincts you already have. This one's a companion to last Wednesday's Pride Month special, but it stands entirely on its own. 🌐 Website: https://www.MathScienceHistory.com ☕Support the show: https://paypal.com/ncp/payment/PR7F7ST49GDNA Three Things You'll Learn · How Francis Bacon's inductive reasoning became the foundation of the entire scientific method, and the personal risk he took living as a gay man in Elizabethan England · Why Margaret Mead's research in Samoa proved that "normal" is often just "what we decided and forgot we decided" · How Paul Erdős treated unsolved math problems like lifelong relationships, and why that's the key to real mathematical thinking Subscribe so you never miss a Flashcards Friday, and if this one hit home, leave a review—it helps more curious minds find the show! Flashcard Music: Gift of the Stars from The Little Prince by Lloyd Rodgers. All music is in the public domain and has no Copyright and no rights reserved. IMAGES: Bacon, Francis (1561-1626) -- Portraits Portraits Appartient à l'ensemble documentaire - By Bibliothèque nationale de France, Public Domain, https://commons.wikimedia.org/w/index.php?curid=161117399 Margaret Mead - By Los Angeles Daily News - https://digital.library.ucla.edu/catalog/ark:/21198/zz0002pz57, CC BY 4.0, https://commons.wikimedia.org/w/index.php?curid=117411558 Coming of Age cover (1928) – Public Domain - Coming of Age in Samoa: margaret mead : Free Download, Borrow, and Streaming : Internet Archive Paul Erdos - By Kmhkmh - Own work, CC BY 3.0, https://commons.wikimedia.org/w/index.php?curid=123828932 Subscribe on your favorite podcast platform. Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Until next time, carpe diem!

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  • S7 · E219
    June 29 · 9 min

    MOMENTUM! Paul Erdős's Secret to Beating Burnout and Staying Focused

    The fastest way to solve your toughest problem isn't to grind harder on it, it's to rotate your focus across a few problems at once, the way legendary mathematician Paul Erdős juggled hundreds of unsolved problems at a time. In this episode, I break down the neuroscience of why this "interleaving" beats multitasking, and I hand you seven simple tools to build this Erdős Method into your work week and your home life. By the end, you'll have a system for turning stuck, vague problems into ones your brain quietly keeps solving in the background. 🌐 Website: https://www.MathScienceHistory.com ☕Support the show: https://paypal.com/ncp/payment/PR7F7ST49GDNA Three Things Listeners Will Learn Why interleaving deep, undivided focus on one problem at a time, rotated across several, outperforms multitasking How to build a personal "Erdős List" and use the 45/15 focus block to make steady progress on several problems each week How small habits like the Wall Log, the Thinking Walk, and an End-of-Day Briefing turn your brain's background processing into visible progress Subscribe to Math! Science! History! on your favorite podcast app and leave a review! It really does help more people find the show! Momentum Music: All music is Public Domain Mark 1.0 Universal and has no Copyright and no rights reserved. Selections from Violin Machine: A Deconstruction of the Bach Concerto by Lloyd Rodgers Subscribe on your favorite podcast platform Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Until next time, carpe diem! - Gabrielle

  • S7 · E218
    June 24 · 19 min

    The Alphabet of Brilliance: 8 LGBTQ+ Scientists Who Changed History | Pride Month Special

    For Pride Month, I profile eight scientists across eight identities in the 2SLGBTQI+ community. From the equations underpinning modern physics to the brain cells once dismissed as filler tissue, these researchers shaped the world we live in, often while hiding, fighting for, or paying dearly for who they were. Today I trace the lives of Sofia Kovalevskaya, Alan Turing, Margaret Mead, Ben Barres, Christopher Strachey, Magnus Hirschfeld, Paul Erdős, and Lozen, eight stories of brilliance that history tried, and failed, to erase. 3 Things You'll Learn in This Episode How a forged marriage opened the door to modern physics. Sofia Kovalevskaya couldn't attend university as a woman in Russia, so she found another way in, and ended up proving foundational theorems that every engineer and physicist still relies on today. Why the man who helped win WWII was punished by the country he saved. Alan Turing's codebreaking work is credited with shortening the war by years and saving millions of lives. Decades later, that same government prosecuted him for being gay, then put him on its currency. How "supporting" brain cells turned out to be running the show. Ben Barres's research overturned decades of neuroscience consensus about glial cells, and his own experience transitioning gave him a firsthand look at gender bias in science that became one of the most cited accounts of its kind. Featured Scientists & Resources Sofia Kovalevskaya (1850–1891), Mathematician Cooke, R. (1984). The Mathematics of Sonya Kovalevskaya. Springer-Verlag. Koblitz, A. H. (1983). A Convergence of Lives: Sofia Kovalevskaia, Scientist, Writer, Revolutionary. Birkhäuser. MacTutor History of Mathematics Archive Alan Turing (1912–1954), Mathematician & Computer Scientist Hodges, A. (1983). Alan Turing: The Enigma. Burnett Books. Turing, A. M. (1950). "Computing Machinery and Intelligence." Mind, 59(236), 433–460. The Alan Turing Institute Bank of England: Alan Turing £50 note Wellcome Sanger Institute Blog: "LGBTQ+ scientists who shaped history" Margaret Mead (1901–1978), Anthropologist Mead, M. (1928). Coming of Age in Samoa. William Morrow & Company. Mead, M. (1975). "Bisexuality: A New Awareness." Redbook Magazine. Banner, L. W. (2003). Intertwined Lives: Margaret Mead, Ruth Benedict, and Their Circle. Knopf. QueerBio.com: Margaret Mead Legacy Project Chicago: Margaret Mead Ben Barres (1954–2017), Neurobiologist Barres, B. A. (2018). The Autobiography of a Transgender Scientist. MIT Press. Barres, B. A. (2006). "Does gender matter?" Nature, 442, 133–136. Allen, N. J., & Barres, B. A. (2005). "Signaling between glia and neurons: focus on synaptic plasticity." Current Opinion in Neurobiology, 15(5), 542–548. Wellcome Sanger Institute Blog: "LGBTQ+ scientists who shaped history" Christopher Strachey (1916–1975), Computer Scientist Campbell-Kelly, M. (1985). "Christopher Strachey, 1916–1975: A Biographical Note." IEEE Annals of the History of Computing, 7(1), 19–42. Strachey, C. (1967). "Fundamental Concepts in Programming Languages." Published posthumously in Higher-Order and Symbolic Computation, 13 (2000), 11–49. Computer History Museum: Christopher Strachey Magnus Hirschfeld (1868–1935), Physician & Sexologist Hirschfeld, M. (1910). Die Transvestiten. Alfred Pulvermacher. Wolff, C. (1986). Magnus Hirschfeld: A Portrait of a Pioneer in Sexology. Quartet Books. Encyclopædia Britannica: Magnus Hirschfeld US Holocaust Memorial Museum: Magnus Hirschfeld Science Museum Blog: "Magnus Hirschfeld and the Institute for Sexual Science" Paul Erdős (1913–1996), Mathematician Hoffman, P. (1998). The Man Who Loved Only Numbers: The Story of Paul Erdős and the Search for Mathematical Truth. Hyperion. Schechter, B. (1998). My Brain Is Open: The Mathematical Journeys of Paul Erdős. Simon & Schuster. ASBMB: "LGBTQ+ scientists in history" The Erdős Number Project, Oakland University Lozen (c. 1840–1889), Medicine Woman & Warrior Ball, E. (1970). In the Days of Victorio: Recollections of a Warm Springs Apache. University of Arizona Press. Aleshire, P. (1998). Warrior Woman: The Story of Lozen, Apache Warrior and Shaman. St. Martin's Press. Multnomah County Library: "Notable Two-Spirit Figures in History" Legends of America: "Lozen: Apache War Woman & Prophet" New Mexico Historic Women Marker Program: "Little Sister Lozen" 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h 🌍 Let's Connect!Instagram: https://www.instagram.com/math.science.history LinkedIn: https://www.linkedin.com/company/math-science-history/ YouTube: Math! Science! History! - YouTube 🎧 Enjoying the Podcast? ☕ Support the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is public domain and has no Copyright and no rights reserved. Selections from The Little Prince by Lloyd RodgersSkylight by Aidan Pinset is from Pixabay and has no copyrightDocumentary by Nikita Kondrashev is from Pixabay and has no copyrightNature Documentary by Alisia Beats is from Pixabay and has no copyrightModular Ambient by S Scheidl is from Pixabay and has no copyrightFrom Page to Practice by Brian Teoh and has no copyright Old Tolchaco by Southwest Native American Indian Flute is from Pixabay and has no copyright Until next time, carpe diem!

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  • S7 · E217
    June 19 · 7 min

    FLASHCARDS! You Are a Game Theorist!

    What if the negotiation strategies, workplace rhythms, and relationship instincts you've relied on your whole life already had names in mathematics? In today's FLASHCARDS! episode of Math! Science! History!, I break down three foundational concepts from game theory: dominant strategy, tit for tat, and Nash equilibrium, and connect each one to the everyday decisions, compromises, and unspoken social contracts you navigate all the time. Whether you're a math enthusiast or someone who swore they "weren't a math person," this episode reveals that you've been doing game theory your entire life without even knowing it. 🃏 In This Episode, You Will Learn: What a dominant strategy is and how to recognize when you're already using one, from sending that follow-up email to ordering your favorite dish at a restaurant. The fascinating history of tit for tat, the surprisingly simple strategy that beat out complex algorithms in Robert Axelrod's famous 1980s tournament, and how it mirrors the unspoken rules of your closest relationships. How a Nash equilibrium shows up in everyday conflict, and why the moment you and someone else silently agree to "stop pushing" is actually a mathematically stable outcome. 📚 Sources Von Neumann's 1928 minimax theorem is widely considered the founding document of modern game theory. https://en.wikipedia.org/wiki/Minimax_theorem John Nash received the Nobel Prize in Economic Sciences in 1994 for his pioneering analysis of equilibria in the theory of non-cooperative games. https://www.nobelprize.org/prizes/economic-sciences/1994/nash/facts Robert Axelrod's landmark book The Evolution of Cooperation (1984) explored how cooperation can emerge among self-interested agents, using his famous computer tournament in which tit for tat won. https://en.wikipedia.org/wiki/The_Evolution_of_Cooperation 📣 Calls to Action Subscribe & Review: If today's episode made you see your everyday decisions in a whole new light, please subscribe to Math! Science! History! and leave a review wherever you listen. It helps more curious minds find the show! Share This Episode: Know someone who loves psychology, strategy, or really nails the follow-up email? Send them this episode; they're already game theorists and don't know it yet. Keep Learning: Catch up on last week's full episode on the birth of game theory and Monday's episode on using these strategies in the workplace! 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h 🎧 Enjoying the Podcast? 🔗 Explore more on our website: mathsciencehistory.com ☕ Support the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform. Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is public domain and has no Copyright and no rights reserved. Selections from The Little Prince by Lloyd Rodgers Until next time, carpe diem!

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  • S7 · E216
    June 15 · 6 min

    MOMENTUM! 3 Game Theory Power-Ups to Hack Your Daily Routine

    In this episode of Momentum Monday, I cover the unexpected power of game theory, not just for economists or chess players, but as a practical toolkit for smarter decisions in work, relationships, and personal habits. I break down three game-changing strategies: 1) Know Your "Game" (mapping players, rules, and payoffs) 2) Build Your BATNA (your secret weapon for negotiation leverage) 3) Tilt the Game in Your Favor (shaping interactions for win-win outcomes) Whether you're negotiating a raise, handling a tough conversation, or just trying to stick to your gym routine, these tactics will help you design your environment for success. Learn more about game theory's real-world applications here and how to apply BATNA in negotiations here. What You'll Learn: How to map your interactions like a game, identifying players, rules, and payoffs to make smarter decisions. (Source: Stanford Encyclopedia of Philosophy) Why BATNA (Best Alternative To a Negotiated Agreement) is your negotiation superpower, and how to build one. (Source: Harvard PON) How to shape your environment and incentives to tilt outcomes in your favor, even in everyday situations. Call to Action:🔹 Try it this week: Pick one interaction where you'll apply one of these power-ups. Notice how it changes your approach, and your results!🔹 Share your win: Tag me on social media @Math.Science.History with #MomentumMonday and tell me which strategy worked for you!🔹 Subscribe & Review: Help more people discover Momentum Monday by leaving a review on Apple Podcasts or Spotify. Every review fuels the momentum! 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h ☕ Support the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is Public Domain Mark 1.0 Universal and has no Copyright and no rights reserved. Selections from Violin Machine: A Deconstruction of the Bach Concerto by Lloyd Rodgers Until next time, carpe diem!

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  • S7 · E215
    June 10 · 16 min

    Game Theory Explained: The History, Math, and Masterminds Behind It

    In this episode, I'm covering the fascinating origin story of game theory, the mathematical framework that explains how we make decisions when our choices depend on what others do. From the chess board to the Cold War, from traffic jams to Nobel Prizes, game theory is hiding everywhere in plain sight. I explore the brilliant, sometimes tortured minds of John von Neumann and John Nash, walk you through the elegant math of the minimax theorem and Nash equilibrium, and show you how these ideas have shaped economics, artificial intelligence, biology, and even nuclear diplomacy. Whether you're a math lover or just someone who's ever wondered why traffic jams form out of nowhere, this episode will completely change the way you see strategy, competition, and cooperation in everyday life. What You'll Learn · The historical and mathematical context of the early 20th century that made game theory possible · What a "game" actually means in the mathematical sense, and why it's about far more than chess or poker · Who John von Neumann was and how his 1928 minimax theorem became the cornerstone of game theory · How John Nash, a young Princeton doctoral student, revolutionized the field with the Nash equilibrium · Why the Prisoner's Dilemma shows that rational individuals can end up with collectively bad outcomes Quote from the Episode "As far as I can see, there could be no theory of games without that theorem … I thought there was nothing worth publishing until the Minimax Theorem was proved." - John von Neumann Episode Resources · von Neumann, John. "Zur Theorie der Gesellschaftsspiele" [On the Theory of Games of Strategy]. Mathematische Annalen 100 (1928): 295–320. · Nash, John F. "Equilibrium Points in N-Person Games." Proceedings of the National Academy of Sciences 36 (1950): 48–49. · Nasar, Sylvia. A Beautiful Mind: The Life of Mathematical Genius and Nobel Laureate John Nash. Simon & Schuster, 1998. · The Nobel Prize, 1994 Economics Prize Press Release: https://www.nobelprize.org/prizes/economic-sciences/1994/press-release/ · Google DeepMind, AlphaGo at 10: https://deepmind.google/blog/10-years-of-alphago/ · Springer Nature, Quantum Game Theory Review (2025): https://link.springer.com/article/10.1007/s11128-025-04913-4 · Stanford Encyclopedia of Philosophy, Evolutionary Game Theory: https://plato.stanford.edu/entries/game-evolutionary/ · MathWorld, Minimax Theorem: https://archive.lib.msu.edu/crcmath/math/math/m/m254.htm 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h 🌍 Let's Connect!Bluesky: https://bsky.app/profile/mathsciencehistory.bsky.social Instagram: https://www.instagram.com/math.science.history Facebook: https://www.facebook.com/mathsciencehistory LinkedIn: https://www.linkedin.com/company/math-science-history/ Threads: https://www.threads.com/@math.science.history Mastodon: https://mathsciencehistory@mathstodon.xyz YouTube: Math! Science! History! - YouTube Pinterest: https://www.pinterest.com/mathsciencehistory 🎧 Enjoying the Podcast? ☕ Support the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is public domain and has no Copyright and no rights reserved. Selections from The Little Prince by Lloyd Rodgers I Love Math by Gabrielle Birchak – all rights reserved The Secret to Growing Up by Lee Rosevere - public domain from Pixabay Until next time, carpe diem!

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  • S7 · E214
    April 24 · 12 min

    FLASHCARDS! How You Can Reduce AI Energy Use

    In this Earth Day week special of Flashcards Friday, we explore the growing environmental impact of artificial intelligence and digital technology. While AI is revolutionizing our world, it comes with a hidden cost, massive energy consumption and increasing strain on our planet. In this episode, you'll learn how data centers contribute to global electricity use, how your everyday digital habits add to the problem, and most importantly, what you can do to help curb energy consumption. From holding tech companies accountable to making smarter personal choices, this episode empowers you to take meaningful action toward a more sustainable digital future. What You'll Learn in This Episode How AI and data centers contribute to global energy consumption and carbon emissions Simple, practical ways to reduce your personal digital energy footprint How to advocate for sustainable technology and hold companies accountable Key Takeaways Data centers already consume ~1% of global electricity, and demand is rising rapidly Everyday actions like sending emails, streaming, and using AI tools all have an energy cost Small habit changes can collectively make a significant environmental impact Consumer pressure and policy advocacy can push tech companies toward sustainability Call to Action Audit your digital habits today: Clean out your inbox, reduce unnecessary emails, and limit high-energy digital activities Support sustainable companies: Choose tech platforms committed to renewable energy and transparency Speak up: Ask companies about their carbon footprint and share awareness on social media Subscribe & Share: If you found this episode valuable, share it with a friend and subscribe so you never miss a Flashcards Friday Flashcards Recap Ask & Advocate: Demand transparency and support green policies Cut Digital Waste: Reduce unnecessary digital consumption Choose Mindfully: Prioritize energy-efficient habits and technologies 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h 🎧 Enjoying the Podcast? 🔗 Explore more on our website: mathsciencehistory.com ☕ Support the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is public domain and has no Copyright and no rights reserved. Selections from The Little Prince by Lloyd Rodgers Until next time, carpe diem!

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  • S7 · E213
    April 22 · 23 min

    How AI Quietly Drives Climate Change

    In this Earth Day episode, I pull back the curtain on the hidden environmental cost of our digital lives. From streaming videos and sending emails to the explosive growth of artificial intelligence, I explore how the internet, often perceived as clean and intangible, is powered by massive, energy-hungry infrastructure that relies heavily on fossil fuels. I walk through the surprising math behind data centers, AI energy consumption, and e-waste, while challenging the narrative that tech is inherently sustainable. This episode isn't about guilt, it's about awareness, accountability, and asking better questions about the future we're building. What You'll Learn Why the internet produces 2–4% of global carbon emissions, rivaling the aviation industry How data centers consume massive amounts of electricity, enough to power millions of homes The hidden carbon cost of everyday actions like streaming, emailing, and searching online The environmental trade-offs of moving our lives online Whether AI is actually helping fight climate change, or making it worse What policies and systemic changes could meaningfully reduce tech's environmental impact How to think critically about digital consumption without falling into guilt-based thinking Quote from the Podcast "The invisibility of digital pollution is not a coincidence, it's a product of very deliberate branding." 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h 🎧 Enjoying the Podcast? ☕ Support the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music from Pixabay is public domain and has no Copyright and no rights reserved. Selections from The Little Prince by Lloyd Rodgers Until next time, carpe diem!

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  • S7 · E212
    April 20 · 7 min

    MOMENTUM! Earth Day and Common Ground

    In this Earth Day Week episode, I explore how momentum, whether in social movements, politics, or personal relationships, starts with communication, not agreement. Drawing from the origins of the first Earth Day, I highlight how bipartisan collaboration sparked a movement that engaged 20 million Americans. You'll learn how structured dialogue reduces polarization, why understanding values is the real bridge to empathy, and how consistent communication builds trust and momentum over time. This episode reveals the math of common ground and how two perspectives together solve complex problems better than one alone. 3 Things You'll Learn Why communication across disagreement is a proven strategy to reduce hostility and increase empathy. How finding common ground works like solving simultaneous equations in math, revealing shared solutions. The importance of consistent, repeated dialogue in building trust and sustaining momentum for change. Resources Earth Day history and 20 million participants: Earth Day History APA on healing political divides: Healing the Political Divide (APA) Stanford on empathy and polarization: Stanford Research on Empathy and Respect University of Rochester megastudy on reducing partisan animosity: Research-backed Ways to Bridge America's Political Divide UC Berkeley on limits of brief dialogue: Can Conversations Reduce Political Conflict?\u00A0 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h 🎧 Enjoying the Podcast? 🔗 Explore more on our website: mathsciencehistory.com ☕ Support the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is Public Domain Mark 1.0 Universal and has no Copyright and no rights reserved. Selections from Violin Machine: A Deconstruction of the Bach Concerto by Lloyd Rodgers Until next time, carpe diem!

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  • S7 · E211
    April 17 · 7 min

    FLASHCARDS! How to Leave a Legacy

    Today's episode explores how you can intentionally build a meaningful legacy by learning from Rosalind Franklin, the scientist whose meticulous work uncovered the DNA double helix. Listeners will discover why precision and patience are essential in creating lasting impact, how to stay motivated when recognition is delayed, and how legacy is less about immediate fame and more about what you enable others to achieve. Tune in to gain practical insights on crafting a legacy that endures beyond your lifetime. Three Takeaways! Why Precision and Patience Matter: How careful, thoughtful work creates a foundation for lasting influence. Staying Motivated When Recognition Is Delayed: Understanding that value isn't always immediately visible. Legacy as What You Make Possible for Others: How your actions today can ripple forward and empower future generations. 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h 🎧 Enjoying the Podcast? 🔗 Explore more on our website: mathsciencehistory.com ☕ Support the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is public domain and has no Copyright and no rights reserved. On Matters of Consequence from The Little Prince by Lloyd Rodgers Until next time, carpe diem!

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  • S7 · E210
    April 15 · 14 min

    Rosalind Franklin: The Half-Life of Recognition

    What happens when the person who does the most essential work never gets the credit? In this episode of Math, Science, History, I tell the story of Rosalind Franklin, the brilliant, exacting chemist whose X-ray diffraction image, Photo 51, revealed the double helix structure of DNA. From the basement of King's College London to the Nobel Prize ceremony she never attended, this episode traces how recognition fades, gets redistributed, and sometimes takes seventy years to settle. It's a story about science, yes, but also about who gets to be remembered, and why the quiet ones doing the actual work so often disappear from history before history knows it has a debt to pay. What You'll Learn · How Rosalind Franklin used X-ray crystallography to capture Photo 51, and what she derived from that single image · How Watson and Crick accessed Franklin's data without her knowledge, and what it meant for the published record · Why Franklin never shared in the 1962 Nobel Prize, and the ongoing debate about what would have happened had she lived Quote from the Episode "Rosalind Franklin knew the shape of DNA from its shadow. We know the shape of this problem from its data. The question this podcast really asks is whether knowing is enough.", Gabrielle Birchak Episode Resources Dr. Rosalind Franklin, Rosalind Franklin University The Story Behind Photograph 51, King's College London From the Archive: Rosalind Franklin's Famous Photo 51, UKRI Women Are Credited Less in Science Than Men, Nature Natalie Portman to Star as Rosalind Franklin in Photograph 51 Science Museum of Virginia, Rosalind Franklin 🔗 Explore more on our website: mathsciencehistory.com 📚 To buy my book Hypatia: The Sum of Her Life on Amazon, visit https://a.co/d/g3OuP9h 🎧 Enjoying the Podcast? ☕ Support the Show: Coffee!! PayPal Leave a review! It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform Check out our merch: https://www.mathsciencehistory.com/the-store Music: All music is public domain and has no Copyright and no rights reserved. Selections from The Little Prince by Lloyd Rodgers Until next time, carpe diem!

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