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Mathematics

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A Trip to Infinity

   2022    Science
Does Infinity exist? Can we experience the Infinite? In an animated film created by artists from 10 countries, the world's most cutting-edge scientists and thinkers go in search of the infinite and its mind-bending implications for the universe.
It doesn’t behave like we’re used to. It’s a monster that needs to be tamed. It creates and destroys mathematicians. It’s infinity! You know, the thing that goes on and on and on and never ends. Here we have theoretical physicists, mathematicians, philosophers, theoretical cosmologists talking about infinity – what it is, how it works, where we can find it, etc., and their concepts and explanations are illustrated by a variety of nifty animations in a variety of visual styles ranging from literal to metaphorical.
Directors Jonathan Halperin and Drew Takahashi solicit experts to help them tackle the most maximal topic in the history of everything from a few different angles. Y when you think about it for a second, the only possible conclusion one can arrive at is a sublime and confounding realization that, on a cosmic scale, humans are naught but grand ignoramuses.

The Joy of Winning

   2019    Science
Dr. Hannah Fry takes us on a whistle-stop tour around the mathematics of success, to help us understand how to get more of what we want in our own lives. From the best way to bag a budget dinner or keep the kids quiet, to averting nuclear Armageddon and negotiating global climate change agreements.

Prediction By The Numbers

   2018    Science
Predictions underlie nearly every aspect of our lives, from sports, politics, and medical decisions to the morning commute. With the explosion of digital technology, the internet, and 'big data,' the science of forecasting is flourishing. But why do some predictions succeed spectacularly while others fail abysmally? And how can we find meaningful patterns amidst chaos and uncertainty? From the glitz of casinos and TV game shows to the life-and-death stakes of storm forecasts and the flaws of opinion polls that can swing an election, 'Prediction by the Numbers' explores stories of statistics in action. Yet advances in machine learning and big data models that increasingly rule our lives are also posing big, disturbing questions. How much should we trust predictions made by algorithms when we don't understand how they arrive at them? And how far ahead can we really forecast?

Weirder and Weirder

   2018    Science
Dr Hannah Fry 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.
Series: Magic Numbers

The Story of Maths The Language of the Universe

   2008    Science
This four-part British television series outlines aspects of the history of mathematics. Written and presented by University of Oxford professor Marcus du Sautoy, it is a co-production between the Open University and the BBC. In the first episode, Marcus du Sautoy in Egypt 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. A controversial figure, Pythagoras’ teachings were considered suspect and his followers seen as social outcasts and a little be strange and not in the norm. There is a legend going around that one of his followers, Hippasus, was drowned when he announced his discovery of irrational numbers. As well as his work on the properties of right angled triangles, Pythagoras developed another important theory after observing musical instruments. He discovered that the intervals between harmonious musical notes are always in whole number intervals.
Series: The Story of Maths

The Great Math Mystery

   2015    Science
Go with us on a mathematical mystery tour, a provocative exploration of math's astonishing power across the centuries. We discover math's signature in the swirl of a nautilus shell, the whirlpool of a galaxy, and the spiral in the center of a sunflower. Math was essential to everything from the first wireless radio transmissions to the successful landing of rovers on Mars. But where does math get its power?" Astrophysicist and writer Mario Livio, along with a colorful cast of mathematicians, physicists, and engineers, follow math from Pythagoras to Einstein and beyond, all leading to the ultimate riddle: Is math an invention or a discovery? Humankind's clever trick, or the language of the universe? Whether we think we're good with numbers or not, we all use math in our daily lives. The Great Math Mystery sheds fascinating light on how math works in our brains and ponders the ultimate mystery of why it works so well when decoding the universe.
The Making of the Mob

The Making of the Mob

2016  History
The Story of Science

The Story of Science

2010  History
Cosmos

Cosmos

1980  Science
Out of the Cradle

Out of the Cradle

2019  History
Life

Life

2009  Nature
Dynamic Genomes Series

Dynamic Genomes Series

2019  Medicine
Wonders Of The Universe

Wonders Of The Universe

2011  Science