Gresham College Lectures

What is a “valid mathematical proof”? To inquire into such a hotly debated question we might want to look at how past mathematicians tackled this question. This lecture will provide examples outside of what has been called a “colonial library”, using in particular Sanskrit sources, to argue that mathematical texts from all over the world contained not only proofs but also many other types of mathematical reasoning whose stories still need to be documented.A lecture by Professor Agathe KellerThe transcript and downloadable versions of the lecture are available from the Gresham College website: https://www.gresham.ac.uk/watch-now/maths-proofGresham College has offered free public lectures for over 400 years, thanks to the generosity of our supporters. There are currently over 2,500 lectures free to access. We believe that everyone should have the opportunity to learn from some of the greatest minds. To support Gresham's mission, please consider making a donation: https://gresham.ac.uk/support/Website:  https://gresham.ac.ukTwitter:  https://twitter.com/greshamcollegeFacebook: https://facebook.com/greshamcollegeInstagram: https://instagram.com/greshamcollegeSupport the show

This talk considers mathematical proofs through an analogy to cooking recipes: that proofs give recipes for mathematical actions to be carried out by the reader. We will see linguistic evidence that written proofs often include explicit instructions in the imperative mood, just like recipes. This will lead to philosophical insights about mathematical diagrams, reading and writing proofs, and why maths is like the Great British Bake Off.A lecture by Dr Fenner TanswellThe transcript and downloadable versions of the lecture are available from the Gresham College website:https://www.gresham.ac.uk/watch-now/recipes-proofGresham College has offered free public lectures for over 400 years, thanks to the generosity of our supporters. There are currently over 2,500 lectures free to access. We believe that everyone should have the opportunity to learn from some of the greatest minds. To support Gresham's mission, please consider making a donation: https://gresham.ac.uk/support/Website:  https://gresham.ac.ukTwitter:  https://twitter.com/greshamcollegeFacebook: https://facebook.com/greshamcollegeInstagram: https://instagram.com/greshamcollegeSupport the show

In practice, mathematicians have been 'proving' their results in many ways, in many places, for thousands of years. In principle, however, what is a proof? Usually, we look to geometry, specifically the geometry of Euclid. But what are the fundamental building blocks of a Euclidean proof? Until quite recently, the Renaissance, this question remained open—due to uncertainties about who Euclid was, the structure of his arguments, and even the layout of his pages. This lecture looks at how the language and practices that we now associate with Euclid hardened into our dominant idea of proof in the 1570s.A lecture by Dr Richard OosterhoffThe transcript and downloadable versions of the lecture are available from the Gresham College website:https://www.gresham.ac.uk/watch-now/renaissance-proofGresham College has offered free public lectures for over 400 years, thanks to the generosity of our supporters. There are currently over 2,500 lectures free to access. We believe that everyone should have the opportunity to learn from some of the greatest minds. To support Gresham's mission, please consider making a donation: https://gresham.ac.uk/support/Website:  https://gresham.ac.ukTwitter:  https://twitter.com/greshamcollegeFacebook: https://facebook.com/greshamcollegeInstagram: https://instagram.com/greshamcollegeSupport the show

The 2022 Peter Nailor Memorial LectureFor 40 years Britain's national strategy rested on two main pillars: close partnership with the United States, and a leading role in Europe. Both remain important, but the dramatic shifts in global geopolitics of recent years must make us re-appraise Britain's diplomatic priorities. How has Russia's aggression in Ukraine changed the focus of our foreign policy? How can the UK- outside the EU- best exercise influence to protect its interests and promote its values in a fast-changing world?A lecture by Lord Peter RickettsThe transcript and downloadable versions of the lecture are available from the Gresham College website:https://www.gresham.ac.uk/watch-now/britains-fpGresham College has offered free public lectures for over 400 years, thanks to the generosity of our supporters. There are currently over 2,500 lectures free to access. We believe that everyone should have the opportunity to learn from some of the greatest minds. To support Gresham's mission, please consider making a donation: https://gresham.ac.uk/support/Website:  https://gresham.ac.ukTwitter:  https://twitter.com/greshamcollegeFacebook: https://facebook.com/greshamcollegeInstagram: https://instagram.com/greshamcollegeSupport the show

Toussaint Louverture (the “Black Spartacus”), was one of the main leaders of the Haitian Revolution (1791-1804), which overthrew slavery and led to the proclamation of the world’s first independent post-colonial state.The lecture discusses his extraordinary life and legacy, as well as the international impacts of the Haitian Revolution across the 19th and 20th centuries, and how its ideals of equality, justice, and solidarity are still relevant to our times.A lecture by Dr Sudhir Hazareesingh FBAThe transcript and downloadable versions of the lecture are available from the Gresham College website:https://www.gresham.ac.uk/watch-now/toussaint-louvertureGresham College has offered free public lectures for over 400 years, thanks to the generosity of our supporters. There are currently over 2,500 lectures free to access. We believe that everyone should have the opportunity to learn from some of the greatest minds. To support Gresham's mission, please consider making a donation: https://gresham.ac.uk/support/Website:  https://gresham.ac.ukTwitter:  https://twitter.com/greshamcollegeFacebook: https://facebook.com/greshamcollegeInstagram: https://instagram.com/greshamcollegeSupport the show

The major triad is considered the foundation of tonal music, its privileged position owed to its presence in the harmonic series of acoustics. The minor triad lacks this acoustic foundation, which led to it being treated as less stable, and even pieces in a minor key usually ended on the major form of the same triad.From the late 18th century onwards, major was paired with joy and minor with sorrow, and composers could play with these associations. A lecture by Marina Frolova-WalkerThe transcript and downloadable versions of the lecture are available from the Gresham College website:https://www.gresham.ac.uk/watch-now/triadsGresham College has offered free public lectures for over 400 years, thanks to the generosity of our supporters. There are currently over 2,500 lectures free to access. We believe that everyone should have the opportunity to learn from some of the greatest minds. To support Gresham's mission, please consider making a donation: https://gresham.ac.uk/support/Website:  https://gresham.ac.ukTwitter:  https://twitter.com/greshamcollegeFacebook: https://facebook.com/greshamcollegeInstagram: https://instagram.com/greshamcollegeSupport the show

What will it take to stop global warming and how long have we got?These are huge questions for humanity, nature, society and geopolitics. Understanding our changing weather and its impacts is one of the greatest scientific challenges of our time. But understanding how to stop changing it turns out to be surprisingly simple. You don’t need to be a scientist or policy wonk to appreciate what it will take to stop global warming. Focusing on fundamentals has surprising implications.A lecture by Myles AllenThe transcript and downloadable versions of the lecture are available from the Gresham College website:https://www.gresham.ac.uk/watch-now/why-net-zeroGresham College has offered free public lectures for over 400 years, thanks to the generosity of our supporters. There are currently over 2,500 lectures free to access. We believe that everyone should have the opportunity to learn from some of the greatest minds. To support Gresham's mission, please consider making a donation: https://gresham.ac.uk/support/Website:  https://gresham.ac.ukTwitter:  https://twitter.com/greshamcollegeFacebook: https://facebook.com/greshamcollegeInstagram: https://instagram.com/greshamcollegeSupport the show

The coast of Kenya has a series of impressive medieval ruins. Amongst the monuments are tombs, grand houses, mosques, and palaces. East African archaeologists date the high point of this heritage to the 13th century. The Kenyan museums contain impressive, reconstructed artefacts that animated the urban life of these lost cities.In this lecture, Robin Walker will present this heritage and put it in its proper place as a powerful chapter in Africa's history.A lecture by Robin WalkerThe transcript and downloadable versions of the lecture are available from the Gresham College website:https://www.gresham.ac.uk/watch-now/kenya-citiesGresham College has offered free public lectures for over 400 years, thanks to the generosity of our supporters. There are currently over 2,500 lectures free to access. We believe that everyone should have the opportunity to learn from some of the greatest minds. To support Gresham's mission, please consider making a donation: https://gresham.ac.uk/support/Website:  https://gresham.ac.ukTwitter:  https://twitter.com/greshamcollegeFacebook: https://facebook.com/greshamcollegeInstagram: https://instagram.com/greshamcollegeSupport the show

People have used money – and made counterfeits - for thousands of years. Archimedes came up with a clever way of finding out if you’ve been cheated by a goldsmith. Making coins with the right proportions of the right metals presented a huge mathematical challenge for Fibonacci and other mathematicians in the middle ages.This lecture will discuss mathematical elements of coin design, denominations, and why former Gresham Professor of Astronomy Sir Christopher Wren favoured decimal coinage.A lecture by Professor Sarah HartThe transcript and downloadable versions of the lecture are available from the Gresham College website:https://www.gresham.ac.uk/watch-now/maths-coinsGresham College has offered free public lectures for over 400 years, thanks to the generosity of our supporters. There are currently over 2,500 lectures free to access. We believe that everyone should have the opportunity to learn from some of the greatest minds. To support Gresham's mission, please consider making a donation: https://gresham.ac.uk/support/Website:  https://gresham.ac.ukTwitter:  https://twitter.com/greshamcollegeFacebook: https://facebook.com/greshamcollegeInstagram: https://instagram.com/greshamcollegeSupport the show

Tuberculosis (and especially drug resistant strains) is a major global health problem, with over nine million people developing the disease annually and 1.5 million dying from it. The history of TB reveals the complex and often contradictory meanings assigned to this disease. The terms used to talk about TB – phthisis, consumption, the “white plague”, and the “wasting disease”, for example – reveal a great deal about popular perceptions relating to contagion and individual social responsibility.A lecture by Professor Joanna BourkeThe transcript and downloadable versions of the lecture are available from the Gresham College website:https://www.gresham.ac.uk/watch-now/tb-historyGresham College has offered free public lectures for over 400 years, thanks to the generosity of our supporters. There are currently over 2,500 lectures free to access. We believe that everyone should have the opportunity to learn from some of the greatest minds. To support Gresham's mission, please consider making a donation: https://gresham.ac.uk/support/Website:  https://gresham.ac.ukTwitter:  https://twitter.com/greshamcollegeFacebook: https://facebook.com/greshamcollegeInstagram: https://instagram.com/greshamcollegeSupport the show