
Show Notes
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!
More from Math! Science! History!
After nearly seven years and more than 200 episodes, this is where I say goodbye to Math! Science! History!. The podcast began with my book Hypatia: The Sum of Her Life and grew into something far beyond what I imagined. Thank you for listening, for following me through all of these stories, and for giving me the opportunity to explore the history behind mathematics, science, and the people and ideas that changed our understanding of the world. The podcast may be ending, but the archive, the research, and the stories will remain here for you to explore. And perhaps it's fitting that our final story is about the Library of Alexandria. The Library didn't survive as an institution, but its ideas survived because people copied them, studied them, translated them, and passed them on. I hope Math! Science! History! can do something similar. As I move into whatever comes next, I'll leave you with the original meaning of carpe diem: to pluck the day, to savor what is ripe and ready, and then use that harvest to plant the seeds for the next season. Thank you for seven incredible years. Carpe diem, my friends. 3 Things You'll Learn 1. The Library of Alexandria was not necessarily destroyed by Caesar. Caesar's fire in 48 BCE certainly destroyed books, but the ancient evidence does not establish that it destroyed the entire Library. Alexandria's scholarly institutions and collections continued afterward. 2. The Library disappeared through a much longer and more complicated process. The Royal Library, Mouseion, Serapeum, and other collections existed in different forms and at different times. Political instability, changing patronage, violence, destruction, and institutional decline all played roles in the gradual disappearance of Alexandria's great scholarly institutions. 3. Knowledge can survive even when institutions disappear. The books of Alexandria did not remain together as one intact collection, but ideas survived through copying, translation, and transmission. Centuries later, scholars working across the Byzantine, Syriac, Persian, and Islamic worlds helped preserve and transmit Greek knowledge into Arabic and beyond. 🔗 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
René Descartes is famous for Cogito, ergo sum and his revolutionary approach to philosophy and mathematics. But he also left behind a mysterious 16-page manuscript written in code. In this episode, we uncover the story of Descartes' hidden notebook, the waterlogged manuscripts that nearly disappeared, and Gottfried Wilhelm Leibniz's dramatic attempt to decipher the coded pages. At the center of the mystery is a mathematical relationship involving the vertices, edges, and faces of three-dimensional shapes. Today expressed as V − E + F = 2, this relationship became associated with Leonhard Euler and is closely connected to the development of topology. We'll explore why this mathematics mattered in the seventeenth century, why Descartes may have feared revealing his ideas, and how the mathematics of shapes and connectivity eventually became relevant to our modern digital world. 3 Things You'll Learn 1. Why Descartes wrote in code The story behind Cogitata Privata, Descartes' "I proceed masked" philosophy, and the secret manuscript that disappeared after Leibniz examined it. 2. How V − E + F = 2 works Using cubes and pyramids, we'll see how vertices, edges, and faces combine to produce a remarkably consistent mathematical relationship. 3. Why this old mathematics still matters The episode connects the history of polyhedra to topology and modern applications such as 3D computer graphics and digital modeling.
Scientists have officially identified a new wild cat species in Bolivia and a new snake species from New Guinea—and one of them is named after Guns N' Roses guitarist Slash. But these discoveries are about much more than a cute cat and a rock-star snake. In this episode of How Did We Get Here? Science News Tuesday, we look at how scientists identify new species, why some animals can remain hidden in plain sight for centuries, and how modern genetics and genomics are changing our understanding of the tree of life. From Carl Linnaeus and the origins of scientific classification to DNA analysis and museum specimens, we explore how scientists went from naming what they could see to uncovering evolutionary relationships that aren't visible to the naked eye. And there's a bigger question: How many species are still out there waiting to be recognized—and could some disappear before we even know they exist? Three Things You'll Learn 1. How a "new" species can hide in plain sight. 2. Why a snake was named after Slash, and how Slash rocks out for animals! 3. How DNA changed the way we classify life 4. Why discovering species matters for conservation
GH Hardy was a character. He had qualities that were odd, yet endearing. He was a rigorous mathematician. Yet, when he received a letter from Srinivasa Ramanujan, he changed. He learned a new way of equating mathematics, and developed a deep and loving respect for an individual who was never formally educated in math. This is the story of a man who had the ability to see genius in another person, even when that person couldn't see it in themselves. 🔗 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! YouTube: Math! Science! History! - YouTube 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/
In this episode of Math, Science, History, host Gabrielle Birchak does a repost about Subrahmanyan Chandrasekhar, a 19-year-old prodigy whose curiosity during a two-week sea voyage in 1930 led to a groundbreaking discovery. While sailing from India to England, Chandrasekhar, armed only with a notebook and the vast expanse of the ocean, began questioning the fate of stars after they exhausted their fuel. 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? If you love Math, Science, History, here's how you can help: Leave a review – It helps more people discover the show! Share this episode with friends & fellow history buffs! Subscribe on your favorite podcast platform ☕ Support the Show! We are sponsored by Coffee!! https://shorturl.at/bHIsc Checking 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!