Mathematics
33 episodes
Ada Lovelace
Melvyn Bragg and guests discuss the 19th century mathematician and hard living daughter of Lord Byron, Ada Lovelace.
6 March 2008
Featuring: Patricia Fara, Doron Swade, John Fuegi
Al-Kindi
Melvyn Bragg and his guests discuss the life and work of Al-Kindi, often described as the first philosopher in the Arabic tradition.
28 June 2012
Featuring: Hugh Kennedy, James Montgomery, Amira Bennison
PhilosophyMusic theorists of the medieval Islamic worldAlchemists of the medieval Islamic worldPhilosophers of religionPhilosophers of logicMetaphysics writersIslamic philosophersAstronomers of the medieval Islamic worldAristotelian philosophersEpistemologistsPhilosophers of educationPhilosophers of artIntellectual historyPhilosophers of psychologyMetaphysiciansPhilosophers of mathematics9th-century philosophersPhilosophers of scienceArabic-language commentators on AristotleOntologists9th centuryAstronomyIslamLanguageMathematicsMedicinePsychologyAlan Turing
Melvyn Bragg and guests discuss the ideas and life of the founder of computer science - whose work helped crack enemy codes in WW2 - and his exploration of artificial intelligence.
15 October 2020
Featuring: Leslie Ann Goldberg, Simon Schaffer, Andrew Hodges
SciencePeople convicted for homosexuality in the United Kingdom, People who have received posthumous pardonsEnglish inventorsLGBTQ mathematicians, LGBTQ philosophersComputer designersTheoretical biologists20th-century English philosophersGay scientistsSuicides by cyanide poisoning20th-century atheistsEnglish people of Scottish descentCastrated peopleGay academicsEnglish people of Irish descentEnglish logicians20th-century English LGBTQ people20th-century English mathematiciansFellows of the Royal SocietyEnglish atheists20th centuryComputationMathematicsAlbert Einstein
Melvyn Bragg and guests discuss Einstein's impact on the world of physics after his 'miraculous year' in 1905 and why he went on to become so very famous after World War One.
14 September 2023
Featuring: Richard Staley, Diana Kormos Buchwald, John Heilbron
ScienceJewish German physicists, Jewish scientistsAmerican humanistsAmerican male non-fiction writersGerman male non-fiction writersEuropean democratic socialistsNaturalised citizens of AustriaAlbert EinsteinGerman agnosticsAcademic staff of ETH ZurichMembers of the Royal Netherlands Academy of Arts and SciencesGerman Ashkenazi JewsRecipients of Franklin MedalStateless peopleNobel laureates in Physics20th-century American male writersJewish socialistsWinners of the Max Planck MedalJewish emigrants from Nazi Germany to the United StatesPhilosophers of mathematicsNaturalized citizens of the United StatesAmerican Ashkenazi Jews, American Zionists, American agnostics, German ZionistsPhilosophers of science20th-century American inventors, Members of the United States National Academy of Sciences20th-century American engineersJewish agnosticsMembers of the American Philosophical SocietyPhilosophy of sciencePantheistsAnti-nationalists20th centuryGermanyMathematicsAlbrecht Dürer
Melvyn Bragg and guests discuss Dürer, the creator of some of the most memorable images in the late Renaissance from his woodcut of a rhinoceros to his stunning self portraits.
12 November 2020
Featuring: Susan Foister, Giulia Bartrum, Ulinka Rublack
Avicenna
Melvyn Bragg and guests discuss Avicenna, among the most important philosophers in the history of Islam.
8 November 2007
Featuring: Peter Adamson, Amira Bennison, Nader El-Bizri
PhilosophyPhilosophers of logicLogiciansClassical humanistsCritics of atheismPhilosophers of psychologyIslamic philosophersMusic theorists of the medieval Islamic worldMedieval Iranian pharmacologists, Transoxanian Islamic scholarsPhilosophers of mindPhilosophers of mathematicsAlchemists of the medieval Islamic worldCourt physiciansIranian ethicists, Iranian logiciansAristotelian philosophersEpistemologistsOntologistsPhilosophers of sciencePhilosophers of religionIslamMathematicsMedicinePsychologyBertrand Russell
Melvyn Bragg and his guests discuss the influential 20th-century British thinker Bertrand Russell, widely regarded as one of the founders of Analytical philosophy.
6 December 2012
Featuring: A. C. Grayling, Mike Beaney, Hilary Greaves
PhilosophyBritish free speech activistsBritish historians of philosophyEnglish logiciansUniversal basic income writersEuropean democratic socialistsMetaphysics writersMembers of the Order of MeritEnglish anti-fascists19th-century atheistsBritish philosophers of educationEmpiricistsEnglish humanistsFree love advocatesGeorgistsBritish critics of religionsEnglish Nobel laureatesNobel laureates in LiteratureTheorists on Western civilizationBritish political philosophersPhilosophers of social scienceEnglish people of Scottish descentEnglish socialistsEnglish male non-fiction writersConsequentialistsFellows of the Royal SocietyLinguistic turnPhilosophers of sexualityRhetoric theoristsMetaphilosophersPhilosophers of loveEnglish political philosophersCritics of work and the work ethicEnglish people of Welsh descent20th-century atheists20th-century English mathematiciansPresidents of the Aristotelian SocietyUtilitariansBritish atheism activistsWriters about communismLogicians19th-century English essayistsSecular humanistsPhilosophers of economicsIntellectual historians, University of Chicago facultyOntologistsEnglish scepticsFreethought writersCritics of the Catholic Church19th-century English philosophersBritish critics of ChristianityPeople from MonmouthshireAristotelian philosophersJerusalem Prize recipientsPhilosophers of lawEnglish prisoners and detaineesBritish philosophers of languageSet theoristsPhilosophers of technologyBritish consciousness researchers and theoristsPhilosophers of mathematicsBritish philosophers of mind20th-century English philosophers19th-century English mathematiciansAnti-nationalistsPhilosophers of literatureEnglish agnosticsBritish philosophers of culture, English pacifistsWriters about globalizationWriters about religion and scienceFellows of Trinity College, CambridgeEnglish essayistsAnalytic philosophersAcademics of the London School of Economics, British philosophers of scienceWriters about activism and social changeAlumni of Trinity College, CambridgePhilosophers of historyBritish philosophers of religionBritish ethicistsAtheist philosophersUniversity of California, Los Angeles facultyBritish philosophers of logicEnglish political writers19th century20th centuryEconomicsLanguageMathematicsBishop Berkeley
Melvyn Bragg and his guests discuss the philosopher George Berkeley, one of the most significant thinkers of the 18th century.
20 March 2014
Featuring: Peter Millican, Tom Stoneham, Michela Massimi
PhilosophyScholars of Trinity College Dublin17th-century Anglo-Irish people18th-century Irish philosophers18th-century Irish writersEmpiricistsAlumni of Trinity College DublinIdealistsPeople educated at Kilkenny College18th-century Anglican theologiansAcademics of Trinity College DublinEnlightenment philosophers18th-century Anglo-Irish people, 18th-century Irish male writers17th-century Anglican theologiansEpistemologistsAnglican philosophersHistory of calculusPhilosophers of science17th century18th centuryIrelandMathematicsTheologyCalculus
Melvyn Bragg and guests Patricia Fara, Simon Schaffer and Jackie Stedall discuss the dispute between Sir Isaac Newton and Gottfried Leibniz over who invented calculus.
24 September 2009
Featuring: Simon Schaffer, Patricia Fara, Jackie Stedall
Carl Friedrich Gauss
Melvyn Bragg and guests discuss the ideas of Gauss, 'prince of mathematicians', including those on number theory, geometry, probability theory, astronomy and electromagnetism.
30 November 2017
Featuring: Marcus du Sautoy, Colva Roney-Dougal, Nick Evans
ScienceRecipients of the Copley MedalMembers of the Royal Swedish Academy of SciencesUniversity of Göttingen alumniMembers of the Bavarian Academy of SciencesAcademic staff of the University of GöttingenHonorary members of the Saint Petersburg Academy of Sciences18th-century German astronomersMembers of the Royal Netherlands Academy of Arts and SciencesGerman LutheransMembers of the Göttingen Academy of Sciences and HumanitiesCorresponding members of the Saint Petersburg Academy of SciencesOptical physicistsRecipients of the Pour le Mérite (civil class)Fellows of the American Academy of Arts and SciencesMental calculatorsFellows of the Royal SocietyLinear algebraists18th centuryAstronomyMathematicsCondorcet
Melvyn Bragg and guests discuss the influential French philosopher and mathematician who tried to apply his Enlightenment ideas on the benefit of education to the French Revolution.
11 January 2024
Featuring: Rachel Hammersley, Richard Whatmore, Tom Hopkins
PhilosophyFrench sociologistsFrench philosophers of education18th-century French writers18th-century French mathematiciansFrench biographers, French ethicistsVoting theoristsPhilosophers of religionUniversity of Paris alumniFrench male non-fiction writersFrench feministsFrench philosophers of scienceScholars of feminist philosophy18th-century philosophersBurials at the Panthéon, ParisPeople killed in the French RevolutionFrench abolitionists18th-century French male writersMembers of the Royal Swedish Academy of SciencesMembers of the Académie FrançaiseHonorary members of the Saint Petersburg Academy of SciencesProto-feministsFrench philosophers of historyTheoretical historiansFellows of the American Academy of Arts and SciencesRationalistsAtheist philosophersEnlightenment philosophersMembers of the French Academy of SciencesDeputies to the French National ConventionAge of EnlightenmentFrench political scientistsFrench philosophers of cultureFrench atheists18th centuryFranceMathematicsDavid Hume
Melvyn Bragg and his guests discuss the work of David Hume, the philosopher and leading figure of the Scottish Enlightenment.
6 October 2011
Featuring: Peter Millican, Helen Beebee, James Harris
PhilosophyCritics of the Catholic ChurchPhilosophers of mind18th-century British essayistsWriters about religion and scienceVirtue ethicistsMetaphilosophersPhilosophers of religionBritish male essayistsPhilosophers of logicCriticism of rationalismWriters about activism and social changeAlumni of the University of EdinburghEpistemologistsPhilosophy writersPhilosophers of artBritish philosophers of educationPhilosophers of psychology18th-century British philosophersEmpiricistsPhilosophers of identityBritish consciousness researchers and theoristsBritish critics of religionsPhilosophers of mathematicsDeist philosophersTheorists on Western civilizationPhilosophers of sciencePhilosophers of historySkeptic philosophersPeople of the Scottish EnlightenmentPhilosophers of social scienceConservatismSecular humanistsPhilosophers of economicsEnlightenment philosophersAction theoristsSocial philosophersBritish male non-fiction writersOntologistsFreethought writers18th centuryEconomicsMathematicsPsychologyScotlandEmilie du Châtelet
Melvyn Bragg and guests discuss the 18th-century mathematical genius whose insights into Newton and Leibniz were part of the great advance in science in the Enlightenment.
4 February 2021
Featuring: Patricia Fara, David Wootton, Judith Zinsser
ScienceFrench physicists18th-century French women writers18th-century French writers18th-century French mathematicians18th-century philosophers18th-century French philosophersContributors to the Encyclopédie (1751–1772)French women physicistsFrench women philosophersDeaths in childbirth18th-century French scientistsDeaths from pulmonary embolism18th centuryFranceMathematicsGame theory
Melvyn Bragg and his guests discuss game theory, the mathematical study of decision-making.
10 May 2012
Featuring: Ian Stewart, Andrew Colman, Richard Bradley
Gödel's Incompleteness Theorems
Melvyn Bragg and guests discuss the mathematician Kurt Godel and his work at the very limits of maths.
9 October 2008
Featuring: Marcus du Sautoy, John D. Barrow, Philip Welch
Hobbes
Melvyn Bragg discusses Thomas Hobbes, the great 17th century philosopher who famously said that ungoverned man lived a life that was ‘solitary, poor, brutish and short’.
1 December 2005
Featuring: Quentin Skinner, David Wootton, Annabel Brett
PhilosophyCritics of the Catholic ChurchPhilosophers of culture17th-century writers in LatinPhilosophers of mind17th-century English writersRhetoric theoristsPhilosophers of religionMaterialistsEnglish political philosophersPhilosophers of languageBritish critics of ChristianityPolitical realistsEpistemologistsBritish philosophers of educationPhilosophers of lawEmpiricistsMetaphysiciansBritish critics of religionsPhilosophers of mathematics17th-century English male writersAlumni of St John's College, CambridgeTheorists on Western civilizationPhilosophers of sciencePhilosophers of historyThomas HobbesSocial philosophersNatural law ethicistsEnglish theologians17th-century English philosophersEnglish physicistsOntologists17th centuryLanguageMathematicsMedicineTheologyJorge Luis Borges
Melvyn Bragg and guests discuss the life and work of the Argentinian master of the short story, Jorge Luis Borges.
4 January 2007
Featuring: Edwin Williamson, Efraín Kristal, Evelyn Fishburn
Commanders Crosses of the Order of Merit of the Federal Republic of GermanyPostmodern writers, Recipients of the Legion of HonourPhilosophers of culturePhilosophers of timeSpanish-language poetsPhilosophers of mindSurrealist writersBlind poetsLiteracy and society theoristsPhilosophers of pessimismMetaphysics writers20th-century mysticsMetaphor theoristsSonneteersPhilosophers of artJerusalem Prize recipientsMagic realism writersTrope theoristsBlind writersPhilosophers of identityLecturersPhilosophers of mathematics20th-century translatorsHaiku poetsLiterary theoristsAnthologistsAphorists20th-century essayistsPhilosophers of literature20th centuryLanguageMathematicsM.C. Escher
Misha Glenny and guests discuss the Dutch artist’s visual paradoxes, never-ending staircases, and the intuitive mathematical precision behind his work.
16 April 2026
Featuring: Marcus du Sautoy, Sarah Hart, Judith Kadee
Mathematics
Melvyn Bragg examines the way perceptions of the importance of mathematics have fluctuated in the 20th century and what mathematics can reveal about how life began, and how it might continue.
6 May 1999
Featuring: Ian Stewart, Brian Butterworth
Mathematics and Platonism
Melvyn Bragg discusses whether mathematics is a process of invention or of discovery. And if it is a discovery, how can we be sure that the mathematic we think we have discovered is the right one?
11 January 2001
Featuring: Ian Stewart, Margaret Wertheim, John D. Barrow
Maths and Storytelling
Melvyn Bragg discusses the similar origins of mathematics and storytelling which both require a shape and structure to make any sense. But is it possible to apply mathematical logic to literature?
30 September 1999
Featuring: John Allen Paulos, Marina Warner
Maths in the Early Islamic World
Melvyn Bragg and guests discuss how mathematicians in the Islamic world, from C8th-C15th, developed new ideas and synthesised ideas from Greek and Indian maths.
16 February 2017
Featuring: Colva Roney-Dougal, Peter Pormann, Jim Al-Khalili
Maxwell
Melvyn Bragg discusses the life and work of the often overlooked 19th century Scottish scientist, and his enormous contribution to the creation of the technological age in which we live.
2 October 2003
Featuring: Simon Schaffer, Peter Harman, Joanna Haigh
SciencePeople associated with electricityDeaths from stomach cancer in EnglandCavendish Professors of PhysicsAlumni of Trinity College, CambridgeAlumni of the University of EdinburghOptical physicistsAcademics of King's College LondonColor scientistsFellows of the Royal Society19th-century British physicistsBritish theoretical physicists, Mathematical physicistsMagneticians19th centuryMathematicsNegative numbers
Melvyn Bragg discusses the history of negative numbers, from the trailblazing Chinese to the suspicious Europeans.
9 March 2006
Featuring: Ian Stewart, Colva Roney-Dougal, Raymond Flood
Pascal
Melvyn Bragg and his guests discuss the life and work of the French polymath Blaise Pascal.
19 September 2013
Featuring: David Wootton, Michael Moriarty, Michela Massimi
CultureChristian humanistsFrench physicistsPeople with hypochondriasisCritics of atheismRoman Catholic mysticsChristian apologistsCatholic philosophersFrench fluid dynamicists, French mathematicians, French probability theoristsAphoristsFrench Roman Catholic writersCartesianism17th-century Christian mysticsConverts to Roman Catholicism17th centuryFranceMathematicsPaul Dirac
Melvyn Bragg and guests discuss the Bristolian theoretical physicist, ranked alongside Einstein by his peers, who won a Nobel for his work on quantum mechanics.
5 March 2020
Featuring: Graham Farmelo, Valerie Gibson, David Berman
ScienceEnglish agnosticsAcademic staff of the University of Göttingen20th-century British physicists, Members of the Pontifical Academy of SciencesEnglish emigrants to the United StatesAlumni of the University of BristolRoyal Medal winnersMembers of the Order of MeritNobel laureates in Physics20th-century English mathematiciansForeign members of the USSR Academy of SciencesBritish theoretical physicists, Mathematical physicistsWinners of the Max Planck MedalEnglish Nobel laureatesAlumni of St John's College, CambridgeRecipients of the Copley MedalBritish Nobel laureatesForeign associates of the National Academy of SciencesInstitute for Advanced Study visiting scholarsMembers of the American Philosophical SocietyFellows of the Royal Society20th centuryMathematicsPierre-Simon Laplace
Melvyn Bragg and guests discuss the great French mathematician who tackled questions on the stability of the Solar System and planet rotation and devised the basis for metrication
8 April 2021
Featuring: Marcus du Sautoy, Timothy Gowers, Colva Roney-Dougal
HistoryMembers of the Royal Swedish Academy of SciencesMembers of the Académie FrançaiseFrench physicistsGrand Officers of the Legion of HonourDeterministsLinear algebraists18th-century French mathematiciansMembers of the Royal Netherlands Academy of Arts and SciencesFrench fluid dynamicists, French mathematicians, French probability theoristsMembers of the French Academy of SciencesFellows of the American Academy of Arts and SciencesFrench deistsFellows of the Royal SocietyFrench agnostics18th centuryFranceMathematicsPopper
Melvyn Bragg discusses the philosopher Karl Popper, author of The Open Society and a seminal thinker about science.
8 February 2007
Featuring: John Worrall, Anthony O'Hear, Nancy Cartwright
PhilosophyUniversity of Vienna alumniPhilosophers of culturePhilosophers of mindWriters about globalizationJewish ethicistsWriters about religion and scienceBritish historians of philosophyPhilosophers of religionBritish male non-fiction writersBritish male essayistsPhilosophers of logicKnights BachelorAcademics of the London School of Economics, British philosophers of scienceMetaphysics writers20th-century British essayists20th-century Austrian philosophers, Austrian agnostics, Austrian essayists, Austrian logicians, British agnostics, British logicians, British people of Austrian-Jewish descent, Naturalised citizens of the United KingdomWriters about activism and social changeAristotelian philosophersEpistemologistsBritish philosophers of educationPresidents of the Aristotelian SocietyCritics of religionsMetaphysiciansPolitical philosophersRecipients of the Austrian Decoration for Science and ArtWriters from ViennaPhilosophers of technologyFellows of the British AcademyBritish consciousness researchers and theoristsPhilosophers of mathematics20th-century British philosophersTheorists on Western civilizationPhilosophers of historyJewish philosophersRationalistsBritish social liberalsBritish ethicistsLogiciansBritish political philosophersForeign associates of the National Academy of SciencesPhilosophers of economicsJewish agnosticsMembers of the Order of the Companions of HonourSocial philosophersCritics of MarxismCambridge University Moral Sciences ClubRecipients of the Pour le Mérite (civil class)Ontologists20th centuryEconomicsMathematicsMedicineRenaissance Maths
Melvyn Bragg discusses Renaissance Mathematics and the change in the understanding of numbers, movement, time and even nature itself, culminating in the calculus of Isaac Newton and Gottfried Leibniz.
2 June 2005
Featuring: Robert Lee Kaplan, Jim Bennett, Jackie Stedall
The Antikythera Mechanism
Melvyn Bragg and guests discuss the 2,000-year-old Greek astronomical computer, one of the most important discoveries in marine archaeology.
14 November 2024
Featuring: Mike Edmunds, Jo Marchant, Liba Taub
Truth
Melvyn Bragg and guests discuss philosophical approaches to truth.
18 December 2014
Featuring: Simon Blackburn, Jennifer Hornsby, Crispin Wright
Wittgenstein
Melvyn Bragg discusses how Ludwig Wittgenstein, one of the greatest philosophers of the modern age has influenced contemporary culture with his ideas on language.
4 December 2003
Featuring: Ray Monk, Barry Smith, Marie McGinn
PhilosophyPhilosophers of cultureOrdinary language philosophyPhilosophers of mindMetaphilosophersFellows of Trinity College, CambridgeBritish male essayistsPhilosophers of logicPhilosophers of languageAnalytic philosophersPeople with post-traumatic stress disorder20th-century British essayists20th-century Austrian philosophers, Austrian agnostics, Austrian essayists, Austrian logicians, British agnostics, British logicians, British people of Austrian-Jewish descent, Naturalised citizens of the United KingdomBertrand Russell Professors of PhilosophyAlumni of Trinity College, Cambridge20th-century British non-fiction writersEpistemologistsPhilosophy writersPhilosophers of artMetaphysiciansWriters from ViennaPhilosophers of mathematicsAustro-Hungarian military personnel of World War I20th-century British philosophersTheorists on Western civilizationJewish philosophersBisexual military personnelBisexual male writersAustrian people of Jewish descentLGBTQ mathematicians, LGBTQ philosophersPhilosophers of social scienceWittgensteinian philosophersJewish agnosticsSocial philosophersCambridge University Moral Sciences ClubOntologistsLinguistic turn20th centuryLanguageMathematicsMedicineWarZero
Melvyn Bragg discusses the history of the number between 1 and -1, which has strange and uniquely beguiling qualities. How was zero invented and what role does it play in mathematics today?
13 May 2004
Featuring: Robert Kaplan, Ian Stewart, Lisa Jardine
