Part 1 • 2017 • episode "S1E1" • Nature's Mathematics

4:09

Imagine a game of dice: if the biggest number rolled is one, two, three, or four, player 1 wins. If the biggest number rolled is five or six, player 2 wins. Who has the best probability of winning the game? Leonardo Barichello explains how probability holds the answer to this seemingly counterintuitive puzzle.

TED-Ed • Math

4:57

An algorithm is a method of solving problems both big and small. Though computers run algorithms constantly, humans can also solve problems with algorithms. David J. Malan explains how algorithms can be used in seemingly simple situations and also complex ones.

TED-Ed • Math

5:10

Would mathematics exist if people didn't? Did we create mathematical concepts to help us understand the world around us, or is math the native language of the universe itself? Jeff Dekofsky traces some famous arguments in this ancient and hotly debated question.

TED-Ed • 2014 • Math

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

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

11:05

The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.

2017 • Math