How to Prove 1=0, And Other Maths Illusions

In this lecture Professor Hart showed some mathematical illusions: “proofs” that 1 = 0, that fractions don’t exist, and more. There are curious and important implications behind what’s going on. These “proofs” reveal some very common logical slips that can go unnoticed when we are trying to prove more plausible statements. And the stakes are […]

Is it Aliens? The Most Unusual Star In The Galaxy

Boyajian’s star, a faint and unprepossessing presence in the constellation of Cygnus, attracted astronomers’ attention when it began to flicker alarmingly. The lecture discussed explanations for its behaviour, from disintegrating comets to alien megastructures, and considered how modern astronomy hunts for the truly unusual objects in the Universe. For this task, the involvement of large […]

Climate Tipping Points in Oceans, Ice, Forests

Professor Myles Allen Frank Jackson Foundation Professor of the Environment (2022-) Professor Myles Allen took his first degree in Physics and Philosophy, followed by a doctorate in Atmospheric, Oceanic and Planetary Physics, both at the University of Oxford. He has worked at Oxford for most of his career, with early stints at MIT and the […]

The Mathematics of Coincidence

We regularly hear of amazing coincidences – people winning the lottery twice, or getting a phone call from a long-lost friend just when you were thinking about them. Is this telepathy? Is there a greater power at work when someone survives seven lightning strikes? There can be terrible consequences from the misunderstanding of coincidence. https://www.gresham.ac.uk/sites/default/files/transcript/2024-03-05-1800_Hart-T.pdf […]

The Colour Spectrum of Scales and Modes

A musical scale – a hierarchical collection of pitches spread over multiple octaves – is a fundamental building block in the creation of melodies and harmonies in a wide range of musical practices. But where do these scales come from? Are they invented or discovered? This lecture looked at the history, theory and artistry of […]

Pulsars, Microwave Ovens and the Radio Sky

There have been two major revolutions in how we look at the sky – the shift beyond the optical to other wavelengths, particularly the radio, and the increasing attention paid to how objects change over time. The talk started with the discovery of pulsars by Jocelyn Bell Burnell, explored how a microwave oven bamboozled astronomers, […]

Mathematical Puzzles and Paradoxes

Many puzzles have a long history, such as water pouring puzzles, where you need to measure (for example) one pint of water equipped only with an eight-pint and a five-pint jug. The mathematics behind the solution has many useful applications. Meanwhile, paradoxes such as: “some men shave themselves; those that do not shave themselves are […]

‘Oumuamua: Our first interstellar visitor

In 2017, the Solar System was visited by an object named ‘Oumuamua, which came from another star. The unusual properties of this first interstellar visitor led some to suggest it may be an alien spacecraft – but the truth is that its oddness is already teaching us lessons about how solar systems form. This lecture […]

The Art and Science of Tuning

This lecture presented the rich history of musicians’ engagement with pitch. From the tuning systems of Babylon, Pythagoras and Hindustani ragas, through the temperaments of the Baroque and Classical eras and arriving at contemporary electronic, blues, jazz and global practices, the lecture explored how musicians have organised, sliced and manipulated the pitch continuum for expressive […]

How is Climate Change Affecting The Weather Now

Climate change is already affecting us all, regardless of where we live, through changing risks of extreme weather events. This lecture took a break from global climate policy to talk about the links between climate and weather, chaos theory and the practical tools available to quantify changing risks. There is a lot we still don’t […]