Part 2 • 2017 • Nature's Mathematics

59:02

Hannah explores a paradox at the heart of modern maths, discovered by Bertrand Russell, which undermines the very foundations of logic that all of maths is built on. These flaws suggest that maths isn't a true part of the universe but might just be a human language - fallible and imprecise. However, Hannah argues that Einstein's theoretical equations, such as E=mc2 and his theory of general relativity, are so good at predicting the universe that they must be reflecting some basic structure in it. This idea is supported by Kurt Godel, who proved that there are parts of maths that we have to take on faith. Hannah then explores what maths can reveal about the fundamental building blocks of the universe - the subatomic, quantum world. The maths tells us that particles can exist in two states at once, and yet quantum physics is at the core of photosynthesis and therefore fundamental to most of life on earth - more evidence of discovering mathematical rules in nature. But if we accept that maths is part of the structure of the universe, there are two main problems: firstly, the two main theories that predict and describe the universe - quantum physics and general relativity - are actually incompatible; and secondly, most of the maths behind them suggests the likelihood of something even stranger - multiple universes. We may just have to accept that the world really is weirder than we thought, and Hannah concludes that while we have invented the language of maths, the structure behind it all is something we discover. And beyond that, it is the debate about the origins of maths that has had the most profound consequences: it has truly transformed the human experience, giving us powerful new number systems and an understanding that now underpins the modern world.

S1E3 • Magic Numbers: Hannah Fry's Mysterious World of Maths • 2018 • Math

68:01

Stuff happens. The weather forecast says it’s sunny, but you just got drenched. You got a flu shot—but you’re sick in bed with the flu. Your best friend from Boston met your other best friend from San Francisco. Coincidentally. What are the odds? Risk, probability, chance, coincidence—they play a significant role in the way we make decisions about health, education, relationships, and money. But where does this data come from and what does it really mean?

World Science Festival • 2015 • Math

59:08

Dr Hannah Fry explores the limits of our control, from dangerous miscalculations to creating and spotting fake videos, and questions how far we should be going with our mathematical skills. A gravity-defying BMX stunt kick-starts the debate around trusting the numbers, and launches us into an investigation of just how sure we can be about anything in our messy world. Together with maths comedian Matt Parker, Hannah uses flaming balloons and gigantic slices of melting cheese to get to the bottom of the guesswork used in real world calculations. A visiting drone zips through the corridors of the historic Royal Institution building, introducing the mother of all drones, a human-sized machine that delivers urgent parcels, and we welcome the team designing driverless helicopters and buying up London rooftops to prepare for the future. But these physical challenges are just the beginning of the debate on handing control over to machines. Hannah explores whether human jurors or robots make fairer decisions, and welcomes Atima Lui, who is on a mission to design the most unbiased facial detection software in the world, which will say goodbye to the 'fast track for white people' at automatic passport gates. Hannah dives into the issues around privacy in our modern world, with Glow Up make-up star Tiffany Hunt making a member of the audience invisible to CCTV, while Hannah explores the truth behind cookies and anonymity online. Finally, she delves into the world of fake news, to separate the truth from the lies. Leading deep fake creators team up with the Christmas Lectures to create a television first – a custom-made deep fake video of a child in the audience, highlighting our ability to use maths to warp reality however we please. Hannah ultimately explores who the real winners are, in an escalating arms race of mathematical tricks.

S1E3 • Royal Institution Christmas Lectures: Secrets and Lies - The Hidden Power of Maths • 2019 • Math

59:08

Documentary that reveals the secret story behind one of the greatest intellectual feats of World War II, a feat that gave birth to the digital age. In 1943 a 24-year-old maths student and a GPO engineer combined to hack into Hitler's personal super code machine - not Enigma but an even tougher system, which he called his 'secrets writer'. Their break turned the Battle of Kursk, powered the D-day landings and orchestrated the end of the conflict in Europe. But it was also to be used during the Cold War - which meant both men's achievements were hushed up and never officially recognised.

2011 • Math

57:57

In Egypt, professor Marcus du Sautoy uncovers use of a decimal system based on ten fingers of the hand and discovers that the way we tell the time is based on the Babylonian Base 60 number system. In Greece, he looks at the contributions of some of the giants of mathematics including Plato, Archimedes and Pythagoras, who is credited with beginning the transformation of mathematics from a counting tool into the analytical subject of today.

S1E1 • The Story of Maths • Math

46:02

Where earth meets sky: how the most thrilling and dangerous point at the top of the world continues to fascinate, and what it takes to conquer the Big One.

S1E1 • History By The Numbers • 2021 • Math