Dr Hannah Fry travels down the fastest zip wire in the world to learn more about Newton's ideas on gravity. His discoveries revealed the movement of the planets was regular and predictable. James Clerk Maxwell unified the ideas of electricity and magnetism, and explained what light was. As if that wasn't enough, he also predicted the existence of radio waves. His tools of the trade were nothing more than pure mathematics. All strong evidence for maths being discovered. But in the 19th century, maths is turned on its head when new types of geometry are invented. No longer is the kind of geometry we learned in school the final say on the subject. If maths is more like a game, albeit a complicated one, where we can change the rules, surely this points to maths being something we invent - a product of the human mind. To try and answer this question, Hannah travels to Halle in Germany on the trail of perhaps one of the greatest mathematicians of the 20th century, Georg Cantor. He showed that infinity, far from being infinitely big, actually comes in different sizes, some bigger than others. This increasingly weird world is feeling more and more like something we've invented. But if that's the case, why is maths so uncannily good at predicting the world around us? Invented or discovered, this question just got a lot harder to answer.
There is a majesty in the filming and editing that is missing in the other performances. Maybe it's the energy of this awesome Wembley crowd. Shot just before sunset, the transition to night time is magic and Freddie commands! He is loved by and connected to the crowd like very few performers. The sound is stellar, Brian is in great form, the harmonies are spot on, it is incredible to realize this wall of great sound is coming mostly from a live trio.
We inhabit a cosmos of undiscovered dimensions and paradoxical realities. We live on one level of perception, but there are others. Every once in a while, a searcher happens upon the doorway to one of these other levels. One of them discovered a paradox about reality that proved to be so profound, we have yet to understand how it could be possible. The universe, or perhaps we should say, universes have never been the same. In the counterintuitive realm of quantum mechanics, light can be two contradictory things, and somehow - no one knows how - an unseen observer can alter the nature of reality. The man who stumbled on this hole in reality and the still- unfolding technological revolution that it made possible.
The fourth episode starts off with the two riding through Santa Cruz, Argentina. The plan is to cross over into Chile and then going up into the Andes. Ewan and Charley head through Argentina’s red rock landscape while a member of their team copes with altitude sickness. The duo are well and truly underway and the first signs of all are well is how well the Harleys hold up in challenging conditions. The roads alternate between unforgiving and pleasant and these e-bikes push through effortlessly. As they ride through Chilean Andes, the audience is shown a picturesque view of the beauty of the countryside, an experience which Boorman calls 'magical.'
At the far tip of South America, lies a magical realm that seems frozen in time. Known as 'the end of the world', this is Patagonia. Vast glaciers shaped it into an Eden like no other. Adaptable and resilient creatures evolved unique survival strategies to flourish across its remarkable habitats. From precipitous mountain citadels and icy desert plateaus windswept steppe uplands through remote, primal forests to a mosaic of glacial valleys. To thrive here is to be as extreme as the land itself.
In America the summer twilight brings out a magical display of glittering lights. Millions and millions of fireflies, an ethereal sight. But behind this twinkling facade is a fierce female setting a deadly trap. The femme-fatale of fireflies is part seductress, part vampire, as Reese shows us the fireflies' deadly trickery to provide nourishment to their young.
But in the 19th century, maths is turned on its head when new types of geometry are invented. No longer is the kind of geometry we learned in school the final say on the subject. If maths is more like a game, albeit a complicated one, where we can change the rules, surely this points to maths being something we invent - a product of the human mind. To try and answer this question, Hannah travels to Halle in Germany on the trail of perhaps one of the greatest mathematicians of the 20th century, Georg Cantor. He showed that infinity, far from being infinitely big, actually comes in different sizes, some bigger than others. This increasingly weird world is feeling more and more like something we've invented. But if that's the case, why is maths so uncannily good at predicting the world around us? Invented or discovered, this question just got a lot harder to answer.