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.

  1. The History of Taxes: From Ancient Civilizations to Modern Income Tax

    1D AGO

    The History of Taxes: From Ancient Civilizations to Modern Income Tax

    Taxes feel like a modern invention, tied to governments, elections, and April deadlines, but their story stretches back over five thousand years. In this episode of Math! Science! History!, Gabrielle traces the origins of taxation from ancient Mesopotamian clay tablets and Egyptian grain levies to Roman tax farmers, medieval tithes, and the birth of the modern income tax. Along the way, she explores how taxation has always been more than economics, it is a reflection of power, fairness, and the cost of belonging to a society. What You'll Learn How taxation began in ancient Mesopotamia as a system tied to temples and survival Why ancient Egypt created one of the first structured tax systems How Athens and Rome approached taxation very differently, and what that reveals about politics The role of feudalism and the church in shaping medieval taxation Why the Magna Carta transformed the idea of taxation and consent How and why the modern income tax was introduced in Britain and the United States The origin of tax withholding and why it changed everything What "top marginal tax rate" actually means (and why it matters) How war, especially mass conscription, drove some of the highest tax rates in history Why debates about "fair share" have remained unchanged for thousands of years Quote from the Episode "Who decides what you owe, and what does it cost to belong to a society?" Episode Resources History of Taxation (Britannica): https://www.britannica.com/topic/taxation/History-of-taxation Brief History of the IRS: IRS history timeline | Internal Revenue Service The 16th Amendment (U.S. National Archives): https://www.archives.gov/milestone-documents/16th-amendment UK Parliament: History of Income Tax: https://www.parliament.uk/about/living-heritage/transformingsociety/private-lives/taxation/overview/incometax/ Historical Income Tax Rates and Brackets, 1862-2025 Magna Carta Overview: Magna Carta - Summary, Facts & Rights | HISTORY 🔗 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 Dulcimer Dance by Arizona Guide from Pixabay Beata – Dark Pagan by Claude Houde from Pixabay All the Things by Abydos_Music from Pixabay Apathias-dark-ambient by Vlad Bakutov from Pixabay SFX – Horse Galloping – coconut shells by alanmcki on Freesound Until next time, carpe diem!

    23 min
  2. You Might Also Like: On Purpose with Jay Shetty

    1D AGO ·  BONUS

    You Might Also Like: On Purpose with Jay Shetty

    Introducing NOAH KAHAN: Imposter Syndrome, Anxiety & The Pressure of Success (What He’s Never Shared Before) from On Purpose with Jay Shetty. Follow the show: On Purpose with Jay Shetty Jay sits down with singer-songwriter Noah Kahan to break down the pressure that comes after “making it” - the imposter syndrome, the constant comparison, and the fear of losing it all. Noah shares how music became his escape from anxiety growing up, what it felt like to finally land the record deal he dreamed of, and why success didn’t silence the doubt, it amplified it. Jay and Noah unpack the myth of the “tortured artist,” and the quiet fear that healing might take away what makes you creative. Noah opens up about his recent OCD diagnosis, how he let go of the belief that he had to suffer for his art, and what it took to find his voice again without relying on pain. Noah speaks candidly about his struggles with body dysmorphia and the unexpected therapy of creating his documentary. Together they explore what it means to find balance and to stop performing for the world so you can finally be seen by the people who matter most. In this episode, you'll learn: How to Stop Defining Your Worth by Your Work  How to Face Your Unseen Fears Through Therapy  How to Stay Present When Life Feels Overwhelming  How to Extract Lessons from Painful Feedback  How to Handle the Fear of Losing Your Success  How to Stay Grounded Between Praise and Criticism   How to Prioritize Your Time Over the Endless Grind Whether you are navigating a major life transition or simply trying to find your footing in a loud world, remember that your self-worth is not a mathematical equation based on your latest achievement. No one should have to navigate their mental health journey alone. Join Noah in the mission to prove that the more we share our stories, the more we empower others to do the same. Visit: https://www.busyheadproject.org/  With Love and Gratitude, Jay Shetty JAY’S DAILY WISDOM DELIVERED STRAIGHT TO YOUR INBOX Join 900,000+ readers discovering how small daily shifts create big life change with my free newsletter. Subscribe https://news.jayshetty.me/subscribe   Check out our Apple subscription to unlock bonus content of On Purpose! https://lnk.to/JayShettyPodcast  What We Discuss: 00:00 Intro 01:54 Seeing Yourself Through the Eyes of Others  04:39 The Childhood Memory That Defined My Career  05:42 Middle Child Energy and the Need to Be Heard  06:57 Music Was My Only Plan A  08:44 The Disconnect Between Fitting In and Being Genuine   11:09 Expressing Yourself Without Giving Yourself Away  14:05 Songwriting: The Constant Search for a Simpler Life  17:25 Every Creative Process Is Different  18:52 When What You Do Becomes Who You Are  24:07 The Power of Journaling Your Lessons  27:05 Does Healing Kill Creativity?  29:48 My Biggest Regret in Communicating with Family  32:43 The Vulnerability of Filming Your Private Life  36:32 Healing and Finding Peace as a Family  43:51 Has Success Made Mental Health Harder or Better?  46:19 The Honest Truth about Body Dysmorphia  52:09 Living and Dying by Your Own Honesty  57:40 The Difference Between Going to Therapy and Doing Therapy  01:00:24 Do You Secretly Find Comfort in Your Pain?  01:02:01 Re-evaluating What Truly Matters After Success  01:05:59 Finding the Strength to Believe in Yourself  01:11:04 Protecting Your Heart While Taking Criticism 01:14:06 Stability Rooted in Love and Marriage 01:20:48 Would You Rather? 01:22:55 Gut Reaction 01:25:46 Noah on Final Five   Episode Resources: Website | https://noahkahan.com/  YouTube | https://www.youtube.com/c/NoahKahan  Facebook | https://www.facebook.com/noahkahanmusic  Instagram | https://www.instagram.com/noahkahanmusic/  TikTok | https://www.tiktok.com/@noahkahanmusic  X | https://x.com/NoahKahan See omnystudio.com/listener for privacy information. DISCLAIMER: Please note, this is an independent podcast episode not affiliated with, endorsed by, or produced in conjunction with the host podcast feed or any of its media entities. The views and opinions expressed in this episode are solely those of the creators and guests. For any concerns, please reach out to team@podroll.fm.

  3. MOMENTUM! Move Forward with Mentorship!

    3D AGO

    MOMENTUM! Move Forward with Mentorship!

    In this week's Monday Momentum, I explore how mentorship creates forward motion in both your career and your life. Inspired by the Maria Gaetana Agnesi episode, I discuss how seeking guidance and giving guidance in parallel acts like a flywheel, building momentum that carries projects, learning, and personal growth forward. I share actionable tips for finding a mentor, mentoring others, and observing the momentum that emerges when support flows in both directions. Resources & Research: Less than half of professionals report having a mentor, yet those with mentors are much more likely to advance and feel engaged at work (Gallup) Mentored employees are promoted up to five times more often, and mentors themselves can see promotions up to six times more often (Mentorloop) Mentorship improves job satisfaction and organizational commitment Organizations with mentoring programs experience higher engagement and retention (Chronus) Long-term mentoring correlates with higher lifetime earnings, educational attainment, and leadership development (After School Alliance)    🔗 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 Violin Machine by Lloyd Rodgers Until next time, carpe diem!

    7 min
  4. FLASHCARDS! Six Gates of Access: Why Resources Exist But Women Can't Reach Them

    6D AGO

    FLASHCARDS! Six Gates of Access: Why Resources Exist But Women Can't Reach Them

    In this episode of Flashcards Friday, I break down a powerful diagnostic framework, the Six Gates of Access, that reveals why resources like healthcare, education, legal help, and business funding can exist on paper while remaining completely out of reach for millions of women. Moving far beyond the question of whether help exists, I map each gate, Awareness, Eligibility, Friction, Capacity, Continuity, and Safety, across four real-world scenarios: maternal health, advanced education, entrepreneurship, and workplace discrimination, giving listeners a practical tool to identify exactly which barrier is blocking progress and what to do about it. Learn about:  The Six Gates of Access framework, a diagnostic model that explains why "a resource exists" and "a resource is reachable" are two very different things, and how any single failing gate can make an entire system inaccessible. How the gates show up differently depending on whether you're seeking prenatal care, a college degree, a small business loan, or legal help for workplace discrimination, same model, entirely different doorways. Actionable gate-opening strategies, specific, real-world workarounds for each gate so you can stop asking "what's wrong with me?" and start asking "which gate is this, and how do I push through it?" 🔗 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 my 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!  - Gabrielle

    11 min
  5. Maria Agnesi: Calculus Pioneer and Charity Leader

    MAR 31

    Maria Agnesi: Calculus Pioneer and Charity Leader

    This episode of Math! Science! History! uncovers the true story of Maria Gaetana Agnesi, the 18th-century mathematician mislabeled the "Witch of Agnesi." In this episode I explore her groundbreaking textbook, the social pressures she faced, and her later life of charity. Episode Overview Visit Milan's intellectual salons where young Agnesi dazzled as a polyglot prodigy, only to channel her brilliance into Instituzioni analitiche, a pioneering calculus textbook for Italian youth. Discover how she rejected fame for charity, leading a hospital for the poor and dying among those she served, showing that her legacy was teaching and compassion, not witchcraft. Three Things Listeners Will Learn Agnesi's "Witch" curve was a mistranslation of versiera; her real impact was systematizing calculus for students. Despite family ambitions and societal constraints, she authored the first advanced math text by a woman, aided by mentors like Rampinelli. In her later years, she ran a Milan hospital and chose to be close to the women she cared after. 🔗 Explore more on our website: https://www.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 Little Prelude for the Luth - by Laurent Buczek from Pixabay The Venture by aidanpinsent from Pixabay Unconditional by aidanpinsent from Pixabay Until next time, carpe diem!

    24 min
  6. FLASHCARDS! How Diversity Drives Scientific Breakthroughs

    MAR 27

    FLASHCARDS! How Diversity Drives Scientific Breakthroughs

    In this Flashcard Friday episode of Math! Science! History!, we spotlight three groundbreaking scientists whose outsider perspectives didn't just add diversity to their fields, they fundamentally changed what science could discover. From Flossie Wong-Staal's molecular work that cracked the mystery of HIV and transformed AIDS treatment, to Omar Yaghi's Nobel Prize-winning invention of metal-organic frameworks that opened a new era of chemistry by design, to Mario Molina's courageous atmospheric research that led to the Montreal Protocol and the slow recovery of Earth's ozone layer, this episode reveals the powerful and undeniable connection between diverse scientific participation and world-changing progress. These aren't just inspiring stories, they're a blueprint for why inclusion isn't optional in science; it's essential. 5 Things Listeners Will Learn How Flossie Wong-Staal helped clone and sequence the HIV genome, making blood screening, transmission prevention, and antiretroviral drug development possible, saving millions of lives. What reticular chemistry is and why Omar Yaghi's metal-organic frameworks represent a revolutionary shift from discovering materials to deliberately designing them, with applications in carbon capture, clean energy, and water purification. How Mario Molina proved that CFCs were destroying the ozone layer, and how his politically unwelcome findings directly led to the Montreal Protocol, one of the most successful environmental treaties in history. Why diverse scientific perspectives accelerate discovery, including how different training, cultural backgrounds, and intellectual traditions help science identify errors faster and reach more robust solutions. The real cost of discrimination in science, not just to individuals, but to the pace of discovery, the accuracy of evidence, and the problems humanity can solve. Resources & Further Reading ·         🔬 Flossie Wong-Staal ·         ⚗️ Omar Yaghi & the 2025 Nobel Prize in Chemistry, Nobel Prize Official Announcement | Yaghi Research Group, UC Berkeley ·         🌍 Mario Molina & the Montreal Protocol, UNEP: Montreal Protocol Overview ·         📚 Reticular Chemistry, Yaghi Lab Introduction to MOFs 💬 Enjoyed this episode? Leave us a review on Apple Podcasts, it helps more curious minds find the show! And share this episode with a student, teacher, or science lover in your life.  🔗 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!

    12 min
  7. MAR 24

    The Math of Matilda

    This episode reframes the Matilda Effect not as a simple story of stolen credit, but as a mathematical and institutional process in which small biases compound over time. Drawing on sociology of science, network theory, and citation dynamics, the script explains how cumulative advantage systems, like preferential attachment and the Matthew Effect, amplify early visibility into lasting historical recognition, even without overt wrongdoing. It shows how peer review, authorship norms, invisible labor, and archival practices inherit and reinforce these dynamics, making later corrections ineffective. Ultimately, the episode argues that the Matilda Effect persists because recognition itself behaves mathematically, and that changing history requires deliberate intervention at the points where credit is first assigned, cited, preserved, and taught. What you'll learn: The Matilda Effect isn't about stolen ideas, it's about systems that compound bias. Small disadvantages early in a career can snowball into permanent historical erasure. Recognition follows mathematical rules like cumulative advantage and preferential attachment. Peer review doesn't reset inequality, it inherits it. Essential scientific labor often disappears because it doesn't generate "credit." Archives and citations decide what history remembers, and what it forgets. Delayed recognition isn't neutral; in cumulative systems, timing is everything. Where we cite, credit, and preserve work today shapes tomorrow's history. Even small acts of recognition matter, because they compound. 🔗 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 Music: Shopping with Mom by Gabrielle Birchak. All other music is public domain and has no Copyright and no rights reserved. Until next time, carpe diem!

    22 min
  8. FLASHCARDS! Dr. Yvonne Sylvain: Haiti's First Female Doctor

    MAR 20

    FLASHCARDS! Dr. Yvonne Sylvain: Haiti's First Female Doctor

    In this Flashcard Friday episode of Math! Science! History!®, host Gabrielle Birchak celebrates Women's History Month and Podcasthon by spotlighting Dr. Yvonne Sylvain, Haiti's first female physician. Born in 1907 into a family of intellectuals and resistance fighters, Dr. Sylvain shattered barriers to become a pioneer in obstetrics, gynecology, and cancer screening. Her story reveals a Haiti rarely seen in today's headlines: a nation rich in brilliance, where educated professionals built real systems of care, and where political instability repeatedly threatened to dismantle them. This episode is paired with a companion interview with Angie Maldonado, founder of Espwa Means Hope, a U.S.-based 501(c)(3) nonprofit working in rural Haiti to empower families through maternal health care, education, and job creation. 'What the Doctor Ordered': 3 Things You'll Learn 1. Haiti Has Always Had Brilliant Builders, Not Just Crises Dr. Sylvain's life dismantles the narrative that Haiti has always been defined by instability. She attended medical school, trained at Columbia University, became a medical professor, and introduced cervical cancer screening via the Pap smear to Haiti, all in an era when women were rarely admitted to medical schools anywhere in the world. 2. Maternal Health Is the Foundation of a Functioning Society Sylvain specialized in obstetrics and gynecology because she understood that healthy pregnancies and preventive women's health care are not extras, they are the biological and social foundation of generational continuity. Her advocacy for deep X-ray, radium treatment, and cancer screening in Haiti was ahead of her time. 3. Political Disruption Doesn't Destroy Expertise, It Just Keeps Interrupting It From the U.S. occupation of Haiti to the Duvalier dictatorship, Dr. Sylvain's career was repeatedly shaped by forces outside medicine. She worked with the WHO, consulted across Africa and Central America, and still returned to lay the groundwork for Haiti's Frères Community Hospital. Her story is a masterclass in professional persistence under adverse conditions. Related Episodes 🎙️ Listen to Gabrielle's companion interview with Angie Maldonado, founder of Espwa Means Hope, available in your podcast feed. To donate to Espwa Means Hope, please visit https://www.EspwaMeansHopeHaiti.org  🔗 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? 🔗 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 by Lloyd Rodgers Sacred Garden by Guilherme Bernardes from Pixabay Unworthy by Guilherme Bernardes from Pixabay Until next time, carpe diem!

    12 min

About

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.