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The Mathematicians Podcast

Ben Cornish
The Mathematicians Podcast
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  • Episode 46 - Anthemius of Tralles - On Burning Mirrors
    Join us on The Mathematicians Podcast as host Benjamin Cornish uncovers the whimsical and often mischievous side of Anthemius of Tralles, the Byzantine Greek architect and mathematician! From earthquake pranks on his neighbour Zeno to pioneering work in optics and conic sections, Anthemius proves that genius can be seriously fun. Discover the forgotten history of burning mirrors, the true shape of light, and the secrets behind the magnificent Hagia Sophia. Keywords: Anthemius of Tralles, Byzantine mathematics, history of optics, conic sections, Hagia Sophia, ancient architects, mischievous mathematicians, podcast, mathematics history, geometry Hashtags: #MathematiciansPodcast #AnthemiusOfTralles #HistoryOfMaths #Optics #ConicSections #HagiaSophia #AncientGreece #MathsHumor  #STEMeducation
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  • Episode 45 - Simplicius - Keeping it Simplicius
    Welcome back to The Mathematicians Podcast! In this episode, host Benjamin Cornish takes us back to the 6th century CE to explore the life and legacy of Simplicius of Cilicia. A pivotal figure caught between two intellectual giants, Simplicius studied under both Aristotelian and Platonic traditions, becoming one of the last significant scholars of Plato's Academy before its closure by Justinian. Join us as we uncover Simplicius's crucial role as a pagan apologist, philosopher, astronomer, and mathematician. Learn how he became a conduit for preserving ancient knowledge, meticulously commenting on the works of Aristotle and Plato, and attempting to bridge their philosophical divide on topics like rationalism vs. empiricism, and idealism vs. realism. The episode also revisits the epic debate between Simplicius and John Philoponus on the nature of infinity, the eternal universe, and the concept of motion and impetus. Keywords: Simplicius, John Philoponus, Plato's Academy, Aristotle, Neoplatonism, Pagan philosophy, Byzantine Empire, Persian Empire, infinity, actual infinity, potential infinity, momentum, cause and effect, unmoved mover, ancient mathematics, philosophy of mathematics, history of science, ancient Greece, late antiquity. Hashtags: #TheMathematiciansPodcast #Simplicius #AncientPhilosophy #HistoryOfMathematics #Plato #Aristotle #Neoplatonism #JohnPhiloponus #Infinity #Paganism #ByzantineHistory #ClassicalStudies #Philosophy #ScienceHistory #Podcast
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  • Episode 44 - The Injectives with Hope Duncan - On Infinity
    This week on The Mathematician's Podcast, we take a break from the philosophical and theological debates of the past to chat with an intellectual heavyweight of our own age! In another special "Injectives" episode, Ben is joined by Hope Duncan, a maths communicator and researcher at the University of Leeds whose particular interest is infinity. Join us as Hope tackles some fundamental (and some silly!) questions from Ben's school students, concepts like dividing by zero and the mass of the universe. The conversation quickly escalates into a fascinating discussion on the history and modern understanding of infinity, covering: The historical struggle with infinitesimals and their surprising decline in modern calculus. The dichotomy of potential vs. actual infinity, from ancient philosophers to modern #SetTheory. How we can "increase" infinity without changing its #Cardinality, illustrated with clever #Bijections between natural numbers and integers. The work of #Cantor in proving that not all infinities are created equal, introducing the concept of different "sizes" of infinity, like the uncountably infinite Real Numbers. A look at the #ZFC axioms, exploring the foundations of modern set theory, from the obvious (axiom of extensionality) to the profoundly abstract (axiom of choice). The implications of #Gödel's incompleteness theorems, revealing the inherent limits of axiomatic systems and the existence of independent statements within ZFC. Hope's personal research into #LargeCardinals – even bigger infinities that offer new ways to tackle unsolved mathematical problems. This episode is a captivating journey through the evolution of one of maths' most mysterious concepts, revealing that even at the bedrock of mathematics, there's still so much to explore and discover. Hope shares what motivates her to sit with the uncomfortable "why" of mathematics, making set theory sound like the ultimate puzzle.   You can find out more from Hope on Bluesky @hopeiona.bsky.social, or Youtube @hopeduncanmaths     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/     Keywords: #Mathematics #MathsPodcast #Infinity #SetTheory #Calculus #Infinitesimals #Cantor #ZFC #Axioms #Gödel #IncompletenessTheorems #LargeCardinals #PhilosophyOfMaths #HopeDuncan #TheMathematiciansPodcast 
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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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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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