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The Mathematicians Podcast

Ben Cornish
The Mathematicians Podcast
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  • Episode 43 - John Philoponus - To infinity and stopping
    Welcome back to The Mathematicians Podcast! This episode introduces our first "John" – John Philoponus, also known as John the Grammarian or John of Alexandria. This Christian theologian, philosopher, and arguably mathematician from 6th-century Egypt is primarily known for his religious doctrine, but we look into the fascinating overlap between mathematics and religion: the nature of infinity. Join us as we explore Philoponus's arguments against the Aristotelian view of an eternal cosmos, his insights into the conservation of momentum and the concept of "initial impetus," and his revolutionary thoughts on the vacuum and fluid drag. We'll trace the historical arguments around infinity from Zeno to Aristotle, Euclid, and Archimedes, showing how Philoponus's ideas shaped both theological orthodoxy and the future of scientific thought. You'll also discover John Philoponus's crucial role in documenting and popularizing the astrolabe, a pivotal scientific instrument of his era. Prepare for an episode that proves how deeply intertwined mathematics, physics, and theological debates were in the ancient world. Keywords: John Philoponus, John the Grammarian, John of Alexandria, infinity, Aristotelian physics, Christian theology, ancient mathematics, history of science, astrolabe, momentum, vacuum, impetus, ancient Egypt, 6th century CE, philosophy of mathematics, cosmology, Unmoved Mover, Theism, Pantheism, Deism, The Mathematicians Podcast. Hashtags:#TheMathematiciansPodcast #HistoryOfMaths #JohnPhiloponus #Infinity #AncientScience #ChristianTheology #Aristotle #Astrolabe #Momentum #Vacuum #PhilosophyOfScience #MathematicalHistory #Podcast #SciencePodcast #AncientEgypt #6thCentury #EarlyScience #MathsAndReligion #Cosmology 
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  • Episode 42 - Boethius - A Fork in the Road
    The Romans are here, in ROME! Discover the dramatic rise and fall of the Roman Empire, its lasting global impact, and the fascinating (and sometimes contentious) question of who inherited its crown. Then, meet Boethius, the last classical scholar, whose time on death row led to The Consolation of Philosophy. This episode unpacks his brilliant philosophy of causation, free will, and how god knows the future without pre-determining our choices. We'll explore Aristotle's Sea Battle paradox, Boethius's own #LogicalInnovations (like De hypotheticis syllogismis), and his monumental effort to translate Greek mathematics and #Philosophy, shaping the entire medieval intellectual landscape. Get ready for #AncientHistory, deep #PhilosophyPodcast, and the "sneaky maths" that saved #WesternThought! Keywords: #Boethius #ConsolationOfPhilosophy #RomanEmpire #LateAntiquity #MedievalPhilosophy #TemporalLogic #FreeWill #Causation #Providence #Fate #Quadrivium #HistoryOfMaths #HistoryPodcast
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  • Episode 41 - Hypatia - Less than fairer
    This week we explore the brilliant, and tragically short, life of Hypatia of Alexandria. Born around 370 CE, she was a pioneering female mathematician and philosopher who led the last great school of mathematics in the ancient world.  Hypatia’s story is also a dramatic tale of political and religious upheaval. A respected pagan intellectual with influence in Alexandria's civic life, she found herself caught in the violent conflicts of the early Christian church. Join us as we examine the forces that shaped her world and led to her untimely end, reflecting on the fragile legacy of knowledge and the powerful impact of teachers, both ancient and modern. Keywords: Hypatia, Alexandria, history of mathematics, female mathematicians, ancient philosophy, Neoplatonism, Theon of Alexandria, early Christianity, Roman Empire, ancient history, mathematics, philosophy, women in STEM, The Mathematicians Podcast. Hashtags: #Hypatia #HistoryOfMaths #WomenInMaths #AncientAlexandria #Philosophy #Neoplatonism #TheMathematiciansPodcast #HistoryPodcast #WomenInSTEM #AncientHistory 
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  • Episode 40 - Pappus of Alexandria - Burn the Bridges
    This week, Pappus of Alexandria, a pivotal figure in 4th-century mathematics. Often considered one of the last great Greco-Roman geometers, Pappus compiled the monumental Synagogue, a comprehensive collection that sought to revive classical Greek geometry. In this episode: A candid look at Pappus's personality and his notorious public critique of the female mathematician Pandrosion and her student. Pappus’s distinction between "plane," "solid," and the more expansive "linear" problems. Concepts like the Pappus Chain (or Steiner Chain) and his non-Euclidean approach to classic problems like doubling the cube. Join us as we explore Pappus's legacy, his undeniable impact on the history of mathematics, and Benjamin’s honest (and sometimes scathing!) personal opinions on this complex figure. Plus, a crucial discussion about the often-overlooked women in mathematics and a personal announcement about the future of the podcast! Keywords: Pappus, Alexandria, Greek Geometry, Synagogue, History of Mathematics, Pandrosion, Female Mathematicians, Euclidean Geometry, Analytic Geometry, Steiner Chain, Pappus Chain, Doubling the Cube, Menaechmus, Archimedes, Apollonius, Ptolemy, Theon of Alexandria, Diophantus, Descartes, Fermat, Newton, Euler, Ancient Greece, Roman Empire, Mathematics Podcast, Geometry, Algebra, History of Science, Mathematical Concepts, Platonic Solids. Hashtags: #Pappus #MathematicsHistory #GrecoRomanGeometry #AncientMaths #Podcast #TheMathematiciansPodcast #GeometryProblems #AnalyticGeometry #WomenInSTEM #MathsEducation #HistoryOfScience #Alexandria  #STEM #ClassicalMathematics 
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  • Episode 39 - Diophantus of Alexandria - A whole lot of fun
    This week, we're taking another trip to ancient Alexandria to meet Diophantus, often hailed as the "Father of Algebra."  Join us as we untangle the fuzzy biography of a mathematician whose life story is a riddle, and whose monumental work, the Arithmetica, started us working  towards systematic equation-solving. From the proto-symbols of syncopated algebra to the birth of Diophantine equations (where only whole numbers dare to tread!), we explore how this ancient Greek genius sought to generalize mathematical problems, shifting math from "apples" to "variables."   Keywords: Diophantus, Algebra, Arithmetica, Diophantine Equations, Ancient Greece, Alexandria, History of Mathematics, Number Theory, Equation Solving, Rational Numbers, Integers, Fermat's Last Theorem, Hilbert's 10th Problem, Undecidability, Al-Khwarizmi, Brahmagupta, Cryptography, Computer Science, Podcast. Hashtags: #MathematiciansPodcast #Diophantus #AlgebraHistory #AncientMaths #NumberTheory #DiophantineEquations #MathsPodcast #STEM #HistoryOfScience #Fermat #HilbertProblems #ProblemSolving #MathsFacts #Alexandria #EquationSolver #MathematicalJourney #ListenAndLearn   The music was- "Danse Macabre - Finale" Kevin MacLeod (incompetech.com) Licensed under Creative Commons: By Attribution 3.0 http://creativecommons.org/licenses/by/3.0/  
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About The Mathematicians Podcast

Where we explore the historical figures that count. An in-depth look at the history of mathematics, in chronological order, looking at the people, the theories, the ideas - with as fewer gaps as possible. Each episode we focus in on a single character or contribution to the history of maths and explore why it is significant, and how it evolved.
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