Information Order and Disorder


Information

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Transcript


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We are surrounded by order.

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Over the last 300 years,

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we've developed amazing new ways to harness energy.

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We've used this ability to transform our environment.

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But all these structures that we see around us are just

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one type of visible order that we've created here on planet Earth.

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There's another type of invisible order,

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every bit as complex that we are only now beginning to understand.

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It's something that nature has been harnessing for billions of years.

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Something we call information.

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The concept of information is a very strange one.

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It's actually a very difficult idea to get your head round.

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But in the journey to try and understand it, scientists

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would discover that information is a fundamental part of our universe.

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This film is the story of information.

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And the immense power released from manipulating it.

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It's the story of how we discovered the power of symbols.

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And how writing, codes

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and computers would revolutionise our understanding of the universe.

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It's the story of how, in a cosmos collapsing into disorder,

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information can be used to create order and structure.

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At first glance, information appears to be a very straightforward idea.

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It exists everywhere in our world.

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Our brains are filled with it.

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And we constantly exchange it between each other.

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But information has been one of the subtlest

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and most difficult concepts that science has had to grapple with.

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Understanding and harnessing it has been an extremely long

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and difficult process.

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The power of information would first be glimpsed over 5,000 years ago,

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when a revolutionary technology was developed.

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One that would set the modern world in motion.

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Over the years, mankind has come up with some pretty remarkable stuff.

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But of all humanity's inventions, there's one that really stands out.

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It's the most transformative, destructive,

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creative technology ever conceived.

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It is also one of the simplest.

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That invention is the written word.

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At its heart, writing is all about the transmission

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and storage of information.

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Words allow ideas to endure through time.

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These are some of the earliest texts in existence.

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They give us an incredible insight into the development of writing.

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I've come to meet one of the few people who can still read them -

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Dr Irving Finkel.

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We take writing so much for granted these days,

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it's easy to forget that it was invented.

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It certainly was.

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How did it first come about?

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The earliest writing that we have is written on clay tablets

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and it comes from Iraq, Ancient Mesopotamia.

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It comes from the culture of the culture of the Sumerians.

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What happened here was that they started off with purely

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pictographic signs to express an idea.

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This lasted for quite a long time, until it occurred to somebody,

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perhaps accidentally, that what you could do is make one of these

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graphic symbols on the surface of the clay not for what it

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looked like but for the sound it represented.

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So not a picture of an object, a picture of a sound?

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That's what we always called the giant leap for mankind.

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By combining different sounding pictures,

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the ancient Mesopotamians could express any idea imaginable.

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The essence of their breakthrough was to see, for example,

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that a picture of an eye

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and a picture of a deer didn't have to mean an eye and a deer.

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The pictures could be used simply for the sounds that they made.

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In this case, idea.

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Once this system was discovered,

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it meant anything that could be spoken, even the most strange

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or abstract thoughts could be transformed into symbols.

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Information could now live outside of the human brain.

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This meant it could endure over vast spans of time.

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It was an idea that fascinated the ancient Mesopotamians.

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This lovely tablet here, this king lived in about 2100 BC.

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He buried this in the foundations of his temple as a message

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for the future.

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This King Ur-Nammu, the powerful male, King of Sumer and Akkad -

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that's the south and north part of Ancient Mesopotamia.

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Her house - he built for her and he even restored it afterwards.

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This is a proud thing.

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He wants everybody to know about it

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and this is a real message for the future.

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What's so remarkable for me

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is this is information stored on clay for thousands of years.

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-Yes.

-Ideas that someone had 4,000 years ago are still there.

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You have ideas, you have speech, human hopes, literature,

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prayers - all these sorts of outpourings of the human soul

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fixed for ever in clay.

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By turning sounds into symbols,

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the Mesopotamian scribes had discover that information could be

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changed very easily from one form to another.

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From something that existed as spoken sounds,

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to something that existed as symbols on clay tablets.

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This was just the beginning.

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Humans were yet to realise the true power of symbols.

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For 4,000 years, writing was pretty much the only

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information technology people used.

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But in the 19th century, during the great Industrial Revolution,

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things would begin to change.

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In the maelstrom of ideas and inventions,

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a series of seemingly unconnected technologies would emerge

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that all began to hint at the immense power of information.

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These technologies would all come from very practical,

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very un-theoretical origins.

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They would start to reveal that information was a much deeper

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and more powerful concept than anyone had realised.

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One of the first of a new breed of information technologies would be

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developed in the French city of Lyon at the end of the 18th century.

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18th-century Lyon was home to some of the best craftsmen in the world.

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It was also a place of great opulence,

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grandeur and, above all, money.

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Thanks to the rich and fashionable aristocrats

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and bankers who lived there,

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it would become home to the greatest silk-weaving industry in the world.

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Almost a third of the city's inhabitants worked in

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the silk industry, and it was home to over 14,000 looms.

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This is brocade.

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The material that made Lyon famous.

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It's a beautiful and intricately woven fabric that,

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as you might imagine, is incredibly labour intensive to produce.

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A two-man team, working flat out for a day,

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could at best produce about an inch of this amazing stuff.

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The demand for the fine fabrics of Lyon was immense.

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But the silk weaving process was painful slow.

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But thanks to a soldier and weaver named Joseph Marie Jaquard,

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a device will be developed to help speed up weaving.

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In the process, it would reveal a fundamental truth about information.

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Building on the work of a number of others, in 1804 Jaquard

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patented his invention.

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At the time, the loom was the most complex mechanism

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ever built by humankind

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Jaquard's loom was a miracle of ingenuity.

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You see, he had designed a single machine, which without any

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alteration to its construction - its hardware, to use a modem term -

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could be programmed to weave any pattern a designer could think up.

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It fact, it could produce a whole range of silk designs

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with barely a pause in production.

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Jaquard had found the holy grail of weaving.

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And the secret was a simple punched card.

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The punched card held within it the essence of the designs

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that the loom would weave.

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When these punched cards were fed into the loom

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they would act to lower and lift the relevant threads...

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..recreating the pattern in silk.

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Any design you could think of could be broken down and translated into

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a series of punch cards that could then woven by the loom.

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Information was being translated from

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picture to punch card to the finished fabric.

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It's a machine for weaving textiles, that's its task,

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but there is nothing specific about what textile it should weave.

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That is contained in the information,

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which is encoded on the cards.

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So if you like, the cards, programme it, that is to say instruct it

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what to do. And this has huge resonances for what came later.

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Jaquard's Loom revolutionised the silk industry.

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But at its heart was something deeper, something more universal

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than its industrial origins and its ability to speed up weaving.

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The loom revealed the power of abstracting information.

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It showed you can take the essence of something, extract the vital

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information and represent it in another form.

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Writing had revealed you could use a set of symbols to capture

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spoken language.

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Now, Jaquard had shown that with just two symbols -

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a hole or a blank space, it was possible to capture

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the information in any picture imaginable.

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This is a portrait of Jaquard that's been woven in silk.

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It's spectacularly detailed with hundreds of thousands of stitches.

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Yet all the information you need to capture this life-like image can be

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stored in a series of punched cards. 24,000 of them to be precise.

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This picture is a fantastic example of a really far-reaching idea.

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That the simplest of systems -

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in this case, cards with a series of holes punched in them -

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can capture the essence of something much, much more complicated.

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If 24,000 punched cards could create an image like this...

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What would happen if you had 24 million?

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Or 24 trillion cards?

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What new types of complex information

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might be able to be captured and represented?

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Jacquard had stumbled on an incredibly deep

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and far-reaching idea.

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As long as you have enough of them, simple symbols can be used

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to describe anything in the entire universe.

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Translating information into abstract symbols

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to store and process, had proven to be an extremely powerful idea.

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But the way information was sent,

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the way it was communicated, hadn't changed for thousands of years.

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The world before telecommunications technology

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was a very different place,

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cos you could only send messages as fast as you could send objects.

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You'd write a message on a piece of paper or something like that

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and then you'd give it to somebody who could run very fast,

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or could go on horse or on a ship very fast.

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The point was you could only send information as fast as

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you could send matter.

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But in the 19th century, the speed at which information

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could be sent would dramatically increase,

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thanks to an incredible new information-carrying medium -

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electricity.

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Very soon after electricity was discovered,

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excitement grew about its potential as a medium to transmit messages.

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It seemed that if it could be controlled and summoned at will,

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electricity would be the perfect medium for sending information.

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Electricity seemed to offer many advantages

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as a way of sending messages.

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It was sent down a wire which means it could pretty much go anywhere.

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It wasn't affected by bad weather conditions

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and most importantly, it could move very quickly.

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But there was one big problem facing those in the early 19th century

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who wanted to use electricity as a means to communicate.

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How could such a simple signal be used to send complex messages?

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Here in the Science Museum archive,

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they have one of the most impressive collections

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of early electronic communications technology in the world.

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Here are just some of the early devices

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designed to send signals using electricity.

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This one's particularly fun.

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It was developed in 1809 in Bavaria by Samuel Soemmering.

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So if the sender wants to send letter A,

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he sends a current through that corresponding wire.

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At the receiver's end is a tank full of liquid

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and electric current forces a chemical reaction

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causing bubbles to appear above the corresponding letter A.

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The whole process is ingenious, if a little laborious.

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But what's really fun is that the sender has to let the receiver know

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he's about to send a signal.

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He does that by sending extra electric currents

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so that more bubbles appear,

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forcing an arm upwards which releases a ball...

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BELL RINGS

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..and triggers a bell.

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As you can imagine, this wouldn't be the quickest of systems.

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After Soemmering, all sorts of approaches were taken

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in trying to crack the problem of sending messages using electricity.

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But they all suffered from having over-complex codes.

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These devices, each cunning and innovative in its own way,

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were all destined for the scrap heap of history.

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And that's because in the 1840s, they were superseded by a way

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of sending signals that still endures to this day.

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It was developed by artist and entrepreneur Samuel Morse,

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together with his colleague Alfred Vale.

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What was so special about their system wasn't the technology

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that was used to carry their messages,

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but the incredibly simple and effective code

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they used to send them.

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Just like Jacquard's punch cards, the genius of Morse and Vale's code

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lay in its simplicity.

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Using a collection of short and long pulses of electrical current,

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they could spell out the letters of the alphabet.

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Vale suggested that the most frequent letters

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in the English language get the shortest code.

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So an E is sent like this.

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While an X is sent like this.

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This means that messages can be sent quickly and efficiently.

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Figuring out the code part of it, the software if you like,

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was as complicated as figuring out the hardware side of things

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with the batteries and the wires, and together they made an entirely new

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technology which is the electric telegraph.

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The telegraph had once again revealed the power

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of translating information from one medium to another.

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Information had at first been fixed in human brains.

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Then held in symbols in clay and paper and punched cards.

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Now, thanks to Morse, information could reside in electricity

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and this made it unimaginably lighter and quicker

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than it had every been before.

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In just a few short years, the telegraph network

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would spread around the entire globe,

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laying the foundations of the modern information age.

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Between them, Jacquard and Morse had found new novel ways to manipulate,

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process and transmit information.

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What had begun with the invention of writing thousands of years ago

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had culminated in the binding of the entire planet

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in a lattice of wires carrying highly abstracted information

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at incredible speeds.

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For people at the end of the 19th century

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it may have seemed that humanity's ability to manipulate

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and transmit information was at its zenith.

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They couldn't have been more wrong.

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Information would reveal itself to be a more important,

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more fundamental concept than anyone could have imagined.

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It would soon become apparent that information

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wasn't just about human communication.

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It was a much further-reaching idea than that.

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The true nature of information would first be hinted at

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thanks to a strange problem,

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one dreamed up by a brilliant Scottish physicist

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who appeared to be thinking about something else entirely.

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James Clerk Maxwell was one of the great minds of the 19th century.

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Among his many interests, Maxwell became fascinated

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by the science of thermodynamics -

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the study of heat and motion that had sprung up

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with the birth of the steam engine.

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Maxwell was one of the first to understand

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that heat is really just the motion of molecules.

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The hotter something is, the faster its molecules are moving.

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This idea would lead Maxwell to dream up a very bizarre

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thought experiment in which information played a crucial role.

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Maxwell theorised that simply by knowing what's going on

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inside a box full of air, it'll be possible to make one half hotter

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and the other half colder.

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Think of it like building an oven next to a fridge

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without using any energy.

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It sounds crazy, but Maxwell's argument was extremely persuasive.

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It goes like this.

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Imagine a small demon perched on to of the box,

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who has such excellent eye sight that he could observe accurately

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the motion of all the molecules of air inside the box.

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Now, crucially,

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he's in control of a partition that divides the box into two halves.

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Every time he sees a fast-moving molecule approaching the partition

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from the right-hand side he opens it up, allowing it through to the left.

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And every time he sees a slow moving molecule approaching the partition

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from the left, he opens it up, allowing the molecule

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through to the right.

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Now, you can see what's going to happen.

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Over time, all the fast-moving hot molecules will accumulate

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on the left-hand side of the box,

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and all the slow-moving cold molecules on the right.

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Crucially, the demon has done this sorting with nothing more

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than information about the motion of the molecules.

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Maxwell's demon seemed to say that just by having information

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about the molecules, you could create order from disorder.

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This idea flew in the face of 19th-century thinking.

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The science of thermodynamics had shown very clearly

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that over time, the entropy of the universe, its disorder,

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would always increase. Things were destined to fall apart.

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But the demon seemed to suggest that you could put things back together

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without using any energy at all.

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Just by using information, you could create order.

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It would prove to be a fiendishly difficult problem to solve,

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not least because the brilliant Maxwell had come up with an idea

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far, far ahead of its time.

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It's amazing, the impact that he had on physics,

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and that he came up with this very intricate concept

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and that he already in some sense pre-anticipated the notion

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of information. It wasn't actually there at the time,

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there was no such thing.

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I think this idea was astonishing.

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He didn't really have a resolution, he raised it as a concern

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and he left it open.

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And I think what followed is more or less 120 years

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of extremely exciting debate and development

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to try to resolve and address this concern.

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So what was going on with Maxwell's demon?

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It may sound far-fetched and fanciful,

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but imagine the possibilities if we could build a machine

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in the real world that could mimic the actions of the Demon.

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I could use it to heat a cup of coffee, or run an engine,

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or power a city all using nothing more than pure information.

0:29:120:29:18

It's as though we could create order in the universe

0:29:180:29:20

without expending any energy.

0:29:200:29:22

Scientists felt intuitively that it had to be wrong.

0:29:230:29:27

The problem was it would take over 100 years to solve the problem.

0:29:270:29:32

While Maxwell's riddle rumbled on,

0:29:390:29:41

something quite unexpected was to happen,

0:29:410:29:43

a new device was dreamt up that could perform quite incredible

0:29:430:29:48

and complex tasks simply by processing information.

0:29:480:29:52

What's more, this was a device that could actually be built.

0:29:520:29:56

The machine would come to be known as the computer, and the idea

0:29:560:30:00

behind it came from a quite remarkable and visionary scientist.

0:30:000:30:05

Alan Turing was the first person to conceive of the modern computer,

0:30:180:30:23

a machine whose sole function is to manipulate and process information.

0:30:230:30:29

A machine that harnesses the power of abstract symbols.

0:30:290:30:33

A machine that enables almost every aspect of the modern world.

0:30:330:30:37

Turing's incredible idea would first appear in a now-legendary

0:30:400:30:44

mathematical paper published in 1936.

0:30:440:30:48

In his brief life, Alan Turing brought fresh, groundbreaking ideas

0:30:510:30:56

to a whole range of topics,

0:30:560:30:59

from cryptography through to biology.

0:30:590:31:02

The sheer breadth of his thinking is breathtaking.

0:31:020:31:06

But for most scientists, it's the concepts he outlined

0:31:070:31:11

in these 36 pages that mark him out as truly special.

0:31:110:31:18

It's this work that makes him worthy of the title "Genius".

0:31:180:31:23

Published when Turing was just 24 years old,

0:31:260:31:29

On Computable Numbers

0:31:290:31:31

With An Application To The Entscheidungsproblem

0:31:310:31:33

tackles the foundations of mathematical logic.

0:31:330:31:35

What's amazing about it is that the idea for the modern computer

0:31:390:31:44

emerged simply as a consequence of Turing's brilliant reasoning.

0:31:440:31:49

He was thinking about something else entirely,

0:31:490:31:51

he wasn't, you know, sitting there thinking,

0:31:510:31:53

"I want to try and invent the modern computer," he was thinking

0:31:530:31:56

about this very abstract problem in the foundations of mathematics.

0:31:560:32:00

And the computer kind fell sideways out of that research,

0:32:000:32:03

completely unexpectedly.

0:32:030:32:05

I mean, nobody could have guessed that Turing's very abstract,

0:32:050:32:10

abstruse research in the foundations of mathematics could produce

0:32:100:32:13

anything of any practical value whatsoever, let alone a machine that

0:32:130:32:18

was going to change the lives of, you know, nearly everyone on the planet.

0:32:180:32:21

Turing had set out to understand if certain processes

0:32:240:32:27

in mathematics could be done simply by following a set of rules.

0:32:270:32:32

And this is what would get him thinking about computers.

0:32:320:32:36

In 1936, the word "computer" had a very different meaning

0:32:390:32:44

to what it does today.

0:32:440:32:45

It meant a real person with a pencil and paper,

0:32:450:32:49

engaged in arithmetical calculations.

0:32:490:32:51

Banks hired many such people, often women,

0:32:520:32:56

to work out interest payments.

0:32:560:32:58

The Inland Revenue employed them to work out how much tax to charge.

0:32:580:33:02

Observatories hired them to calculate navigational data.

0:33:020:33:06

Human computers were vital to the modern world,

0:33:070:33:11

dealing with the huge amounts of information produced

0:33:110:33:14

as science and industry grew ever more complex.

0:33:140:33:18

What Turing did in his 1936 paper was ask a simple

0:33:220:33:26

but profound question.

0:33:260:33:28

"What goes on in the mind of a person carrying out a computation?"

0:33:280:33:33

To do this, he first had to discard all the superfluous detail,

0:33:330:33:38

so that only the very essence of the process of computation remained.

0:33:380:33:43

So, first off went the inkpot.

0:33:430:33:46

Then the pen, then the slide-rule.

0:33:460:33:49

Then the pencils and the pads of paper.

0:33:490:33:51

All these things made it easier, but none of them

0:33:510:33:54

were absolutely crucial to the person carrying out the computation.

0:33:540:33:59

Now Turing asked, "What goes on in the brain of a human computer?"

0:34:030:34:08

It's a vastly complex biological system,

0:34:080:34:11

capable of consciousness, thoughts and insights, but to Turing,

0:34:110:34:15

none of these was critical to the process of computation either.

0:34:150:34:19

Turing realised that to compute something,

0:34:190:34:23

a set of rules had to be followed precisely.

0:34:230:34:26

That was all.

0:34:260:34:28

It takes the higher level intelligence

0:34:300:34:32

that was presupposed to be involved in calculation,

0:34:320:34:35

which was thinking, and says you can have a mechanical process -

0:34:350:34:39

and by mechanical, he means an unthinking process -

0:34:390:34:43

to perform the same act.

0:34:430:34:44

And therefore eliminates the necessity of human agency,

0:34:440:34:48

with all its high-level functions.

0:34:480:34:50

And that is what is revolutionary about what he tries to do.

0:34:500:34:54

Turing's brilliant mind saw that any calculation had two aspects...

0:34:570:35:01

The data, and the instructions for what to do with the data.

0:35:020:35:08

And this would be the key to his insight.

0:35:080:35:11

Turing had to find a way of getting machines to understand instructions

0:35:130:35:17

like "add," "subtract," "multiply," "divide"

0:35:170:35:20

and so on, in the same way that humans do.

0:35:200:35:24

In other words, he had to find a way of translating instructions

0:35:240:35:27

like these into a language that machines could understand.

0:35:270:35:31

And with flawless, impeccable logic, Turing did exactly that.

0:35:310:35:35

This may look like a random series of ones and zeroes,

0:35:410:35:46

but to a computing machine, it's a set of instructions

0:35:460:35:49

that can be read off step by step,

0:35:490:35:52

telling the machine to behave in a certain way.

0:35:520:35:56

So, while a human computer could look at this symbol

0:35:560:35:59

and understand the process that was required,

0:35:590:36:01

the computing machine had to have it explained, like this.

0:36:010:36:06

This paper tape that Turing envisaged is what

0:36:080:36:11

we would now call the memory of the computer.

0:36:110:36:14

But Turing didn't stop there.

0:36:150:36:17

Turing realised that feeding a machine instructions in this way

0:36:220:36:26

had an amazing consequence.

0:36:260:36:29

It meant that just one machine is needed to perform almost any task

0:36:290:36:33

you can think of.

0:36:330:36:35

It's a beautifully simple concept.

0:36:350:36:38

In order to get the machine to do something new, all you had to do

0:36:380:36:41

was feed it a new set of instructions, new information.

0:36:410:36:46

This idea became known as the Universal Turing Machine.

0:36:470:36:51

The more you wanted your machine to do, the longer the tape had to be.

0:36:550:37:01

Bigger memories could hold complex, multilayered instructions

0:37:010:37:05

about how to process and order any kind of information imaginable.

0:37:050:37:10

With a big enough memory,

0:37:140:37:16

the computer will be capable of an almost limitless number of tasks.

0:37:160:37:20

This idea of Turing's, that a multitude of different tasks

0:37:250:37:29

can be carried out simply by giving a computing machine

0:37:290:37:33

a long sequence of instructions, is his greatest legacy.

0:37:330:37:37

Since his paper, Turing's dream has been realised.

0:37:370:37:41

So, calculations, making phone calls,

0:37:410:37:44

recording moving images, writing letters, listening to music -

0:37:440:37:48

none of these require bespoke machines.

0:37:480:37:51

They can all be carried out on a single device.

0:37:510:37:54

A computing machine.

0:37:550:37:57

This phone is a modern incarnation of Turing's amazing idea.

0:37:580:38:03

Inside here are many, many instructions.

0:38:030:38:06

What we call programmes, or software, or apps,

0:38:060:38:09

that are nothing more than a long sequence of numbers

0:38:090:38:12

telling the phone what to do.

0:38:120:38:15

What's amazing about Turing's idea is its incredible scope.

0:38:170:38:22

The sets of instructions that can be fed to a computer

0:38:220:38:26

could tell it how to mimic telephones or typewriters.

0:38:260:38:30

But they could also describe the rules of nature,

0:38:300:38:33

the laws of physics.

0:38:330:38:35

The processes of the natural world.

0:38:350:38:38

This is a simulation of many millions of particles

0:38:420:38:46

behaving like a fluid.

0:38:460:38:48

To work out how it flows,

0:38:480:38:50

the computer simply follows a set of instructions held in its memory.

0:38:500:38:55

This only begins to hint at the power of computing machines.

0:38:560:39:00

This is a computer simulation of the large-scale structure

0:39:090:39:14

of the entire universe.

0:39:140:39:16

And it reveals the true power of Turing's idea.

0:39:160:39:20

Turning instructions into symbols that a machine can understand

0:39:220:39:26

allows you to recreate not just a simple picture or sound,

0:39:260:39:31

but a process, a system, something that is changing and evolving.

0:39:310:39:37

By manipulating simple symbols,

0:39:390:39:42

computers are capable of capturing the essence,

0:39:420:39:45

the order of the natural world itself.

0:39:450:39:48

By thinking about how the human brain processes

0:40:030:40:06

and computes information,

0:40:060:40:09

Alan Turing had had one of the most important ideas of the 20th century.

0:40:090:40:13

The power of information was revealing itself.

0:40:160:40:20

GARBLED VOICES

0:40:250:40:28

It would be very easy to think that after Turing's ideas were made real,

0:40:340:40:38

the true power of information would be unleashed.

0:40:380:40:42

But Turing was only half the story.

0:40:420:40:45

The modern information age would require another idea,

0:40:460:40:49

one that would finally pin down the nature of information,

0:40:490:40:52

and its relationship to the order and disorder of the universe.

0:40:520:40:57

It was an idea that would be dreamt up

0:40:570:40:59

by a gifted and eccentric mathematician and engineer.

0:40:590:41:03

Claude Shannon was a true maverick, and his desire to tackle

0:41:120:41:16

unusual problems would lead to a revolutionary new idea.

0:41:160:41:20

One that would uncover the fundamental nature of information,

0:41:200:41:25

and the process of communication in all its varied forms.

0:41:250:41:29

This is Claude Shannon's paper,

0:41:310:41:34

The Mathematical Theory Of Communication.

0:41:340:41:37

Now, the title may sound a bit dry, but trust me,

0:41:370:41:40

it's one of the most important scientific papers

0:41:400:41:43

of the 20th century. Not only did it lay the foundations

0:41:430:41:46

for the modern world's communication network,

0:41:460:41:49

it also gave us fresh insights into human language,

0:41:490:41:53

into things we do intuitively, like speaking and writing.

0:41:530:41:58

The paper was published in 1948,

0:42:030:42:07

while Shannon was working at the Bell Labs in New Jersey -

0:42:070:42:10

the research arm of the vast Bell Telephone Network.

0:42:100:42:14

It was an institution famous for its forward-thinking,

0:42:140:42:17

relaxed atmosphere.

0:42:170:42:20

The mathematicians were free to work on any problem that interested them.

0:42:200:42:25

The only thing that the laboratory management required of them

0:42:250:42:31

was that they keep an open door,

0:42:310:42:33

and if anybody from any other department came with a problem,

0:42:330:42:37

that they would at least think about it.

0:42:370:42:40

Otherwise they were absolutely free, and the atmosphere was incredible.

0:42:400:42:45

People were playing, and encouraged to play.

0:42:450:42:49

Hello. I'm Claude Shannon,

0:42:500:42:52

a mathematician here at the Bell Telephone Laboratory.

0:42:520:42:55

Claude Shannon in particular was given free reign

0:42:550:42:58

to do pretty much whatever he wanted.

0:42:580:43:00

This is Theseus.

0:43:000:43:02

Theseus is an electrically controlled mouse, mouse.

0:43:020:43:05

Oh, they treated him as their darling.

0:43:070:43:09

I never saw him juggle, but I certainly saw him ride his unicycle.

0:43:090:43:14

He brought it to work one day,

0:43:140:43:16

and he must have cost Bell Labs

0:43:160:43:20

at least a hundred man-hours of time.

0:43:200:43:24

But despite the frivolity,

0:43:280:43:30

the Bell Telephone Network faced a huge problem.

0:43:300:43:34

Every day, they transmitted vast amounts of electronic

0:43:340:43:37

information all across the world.

0:43:370:43:40

But they had no real idea of how to measure this information properly,

0:43:400:43:44

or how to quantify it.

0:43:440:43:46

In short, their entire business was built on something

0:43:490:43:52

they didn't actually understand.

0:43:520:43:54

Amazingly, their superstar employee Claude Shannon

0:43:560:44:00

would give them exactly what they needed.

0:44:000:44:03

GARBLED VOICES

0:44:030:44:07

In this paper, Shannon did something absolutely incredible -

0:44:110:44:15

he took the vague and mysterious concept of information

0:44:150:44:19

and managed to pin it down.

0:44:190:44:21

Now, he didn't do this using some cleverly-worded,

0:44:210:44:24

philosophical definition.

0:44:240:44:26

He actually found a way to measure

0:44:260:44:28

the information contained in a message.

0:44:280:44:31

GARBLED VOICES

0:44:310:44:34

Amazingly, Shannon realised that the quantity of information

0:44:360:44:39

in a message had nothing to do with its meaning.

0:44:390:44:42

Instead, he showed it was related solely

0:44:430:44:45

to how unusual the message was.

0:44:450:44:47

Information is related to unexpectedness.

0:44:510:44:54

So news is news because it's unexpected

0:44:540:44:57

and the more unexpected it is, the more newsworthy it is.

0:44:570:45:00

So if today's news was the same as yesterday's news,

0:45:000:45:02

there would be no news at all.

0:45:020:45:04

And that information content would be zero.

0:45:040:45:07

So suddenly you have a relationship between...

0:45:070:45:10

unexpectedness and information.

0:45:100:45:15

GARBLED VOICES

0:45:150:45:18

But Shannon was to go further

0:45:180:45:20

and give information its very own unit of measurement.

0:45:200:45:24

GARBLED VOICES

0:45:250:45:28

So, how did he do this?

0:45:300:45:33

Well, he showed that any message you cared to send

0:45:330:45:36

could be translated into binary digits -

0:45:360:45:39

a long sequence of ones and zeros.

0:45:390:45:42

So a simple greeting like "Hello" could be written like this.

0:45:420:45:48

Or...like this.

0:45:490:45:52

Just think of this as another way of writing the same message.

0:45:520:45:57

ELECTRONIC MUSIC

0:45:580:46:01

Shannon realised that transforming information into binary digits

0:46:030:46:08

would be an immensely powerful act.

0:46:080:46:10

It would make information

0:46:100:46:12

manageable, exact, controllable and precise.

0:46:120:46:16

In his paper, Shannon showed that a single binary digit -

0:46:200:46:24

one of these ones or zeros - is a fundamental unit of information.

0:46:240:46:30

Think of it as an atom of information -

0:46:300:46:32

the smallest possible piece.

0:46:320:46:35

Then, having defined this basic unit,

0:46:350:46:38

he even gave us a name for it, one we're all familiar with today.

0:46:380:46:42

He used a shortening of the phrase, "binary digit" -

0:46:420:46:46

"bit".

0:46:460:46:48

The humble bit turned out to be an enormously powerful idea.

0:46:480:46:53

The bit is the smallest quantity of information.

0:46:560:46:59

It is highly significant because it's the fundamental atom.

0:46:590:47:03

It is the smallest unit of information in which

0:47:030:47:05

there's sufficient discrimination to communicate anything at all.

0:47:050:47:09

The power of the bit lay in its universality.

0:47:140:47:18

Any system that has two states,

0:47:200:47:22

like a coin with heads or tails,

0:47:220:47:25

can carry one bit of information.

0:47:250:47:28

One or zero.

0:47:300:47:31

Punched or not punched.

0:47:310:47:34

On or off.

0:47:340:47:35

Stop or go.

0:47:350:47:37

All of these systems can store one bit of information.

0:47:370:47:42

Thanks to Shannon,

0:47:450:47:46

the bit became the common language of all information.

0:47:460:47:51

Anything - sounds, pictures, text - can be turned into bits

0:47:510:47:56

and transmitted by any system capable of being in just two states.

0:47:560:48:02

Shannon had founded a new, far-reaching theory.

0:48:100:48:14

The ideas he began to explore would form the cornerstone

0:48:140:48:18

of what we now call, "information theory".

0:48:180:48:20

He'd taken an abstract concept - information -

0:48:200:48:24

and turned it into something tangible.

0:48:240:48:27

What had been just a vague notion

0:48:270:48:30

was now measurable - something real.

0:48:300:48:34

The idea of converting into bits, into making things digital,

0:48:390:48:43

would fundamentally transform many aspects of human society.

0:48:430:48:47

GARBLED VOICES

0:48:490:48:52

But information isn't just something humans create.

0:48:560:49:00

We're beginning to understand that this concept lies at the heart,

0:49:000:49:03

not only of 21st-century human society,

0:49:030:49:07

but also at the heart of the physical world itself.

0:49:070:49:10

Every "bit" of information we've ever created, every book,

0:49:100:49:16

every film, the entire contents of the internet,

0:49:160:49:21

amounts to pretty much nothing

0:49:210:49:22

when compared with the information content of nature.

0:49:220:49:26

And that's because even the most insignificant event

0:49:260:49:30

contains a spectacular amount of information.

0:49:300:49:33

Let me show you.

0:49:330:49:35

Imagine how many bits of information you would need to describe this.

0:49:490:49:54

The beautiful and intricate interplay of physical laws

0:50:010:50:05

taking place at scales and timeframes

0:50:050:50:07

that are normally imperceptible to us.

0:50:070:50:10

But here you're still only seeing a fraction

0:50:160:50:19

of the complexity of nature.

0:50:190:50:21

Imagine the interplay between the trillions upon trillions of atoms.

0:50:400:50:46

The amount of bits you would need to describe this

0:50:480:50:51

is almost unimaginable.

0:50:510:50:53

But what's amazing is that now,

0:50:570:50:59

thanks to the ideas of Turing and Shannon, we're able to describe,

0:50:590:51:04

model and simulate nature in ever greater detail.

0:51:040:51:08

But this isn't the end of the story.

0:51:100:51:14

Information, it seems, isn't just a way of describing reality.

0:51:140:51:19

In the last few years, we've discovered that information

0:51:210:51:25

is actually an inseparable part of the physical world.

0:51:250:51:28

It's a really difficult idea to get to grips with but information,

0:51:420:51:48

everything from a Beethoven symphony to the contents of a dictionary,

0:51:480:51:52

even a fleeting thought,

0:51:520:51:54

all information needs to be embodied in some form of physical system.

0:51:540:51:59

Amazingly, the reason we understand the true connection

0:52:020:52:06

between information and reality is because of Maxwell's demon.

0:52:060:52:11

Remember, it seemed like the demon could use information

0:52:140:52:18

to create order in a box of air that started out completely disordered.

0:52:180:52:23

Moreover, it could do this without expending any effort.

0:52:230:52:27

Information seemed to be able to break the laws of physics.

0:52:290:52:32

Well, that's not true - it can't.

0:52:340:52:37

The reason why Maxwell's demon can't get energy for free lies here -

0:52:430:52:48

in his head.

0:52:480:52:50

What was discovered was this -

0:52:560:52:58

the demon really is using nothing more than information

0:52:580:53:01

to create useful energy.

0:53:010:53:03

But this doesn't mean that he's getting something for nothing.

0:53:030:53:07

Remember how the demon works?

0:53:070:53:09

He spots a fast-moving molecule on one side of the box,

0:53:090:53:13

opens a partition and lets it through to the other side.

0:53:130:53:16

But each time he does that, he has to store information

0:53:160:53:21

about that molecule's speed in his memory.

0:53:210:53:24

Soon his memory will fill up and then he can only continue

0:53:250:53:30

if he starts deleting information.

0:53:300:53:33

Crucially this deletion would require him to expend energy.

0:53:330:53:37

The demon needs to keep a record of which molecules are moving where

0:53:390:53:44

and if the record-keeping device is only finite size,

0:53:440:53:48

at some point the demon is going to have to erase it.

0:53:480:53:50

That's an irreversible process

0:53:500:53:52

that increases the entropy of the universe.

0:53:520:53:54

Its the erasure of information

0:53:540:53:57

that increases entropy once and for all.

0:53:570:53:59

What was discovered

0:54:020:54:03

is that there's a certain, specific minimum amount of energy,

0:54:030:54:07

known as the Landauer limit,

0:54:070:54:09

that's required to delete one bit of information.

0:54:090:54:13

It's tiny, less than a trillion trillionth of the amount of energy

0:54:150:54:19

in a gram of sugar, but it's real.

0:54:190:54:23

It's a part of the fundamental fabric of the universe.

0:54:230:54:26

Amazingly, we can now do real experiments

0:54:340:54:37

that test aspects of Maxwell's idea.

0:54:370:54:40

By using lasers and tiny particles of dust,

0:54:410:54:45

scientists around the world have explored the relationship

0:54:450:54:47

between information and energy with incredible accuracy.

0:54:470:54:52

Maxwell's thought experiment, dreamt up in the age of steam,

0:54:540:54:58

still remains at the cutting edge of scientific research today.

0:54:580:55:02

Maxwell's demon links together two of the most important concepts

0:55:070:55:12

in science - the study of energy and the study of information

0:55:120:55:16

and shows that the two are profoundly linked.

0:55:160:55:20

What we now know is that information,

0:55:200:55:23

far from being some abstract concept,

0:55:230:55:25

obeys the same laws of physics as everything else in the universe.

0:55:250:55:30

Information is not just an abstraction,

0:55:380:55:41

just a mathematical thing or formula that you write on the paper.

0:55:410:55:45

Information is actually carried by something.

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So it is encoded onto something -

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a stone, a book, a CD.

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Whatever it is, there is a carrier where the information is on.

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That means that information behaves according to those laws of physics.

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So it cannot break the laws of physics.

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What humanity has learnt over the last few millennia

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is that information can never be divorced from the physical world.

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But this is not a hindrance.

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What makes information so powerful is the fact it can be stored

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in any physical system we choose.

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From using stone and clay to allow information

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to be preserved over eons

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to using electricity and light so it can be sent quickly,

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the medium that stores information gives it unique properties.

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Today, scientists are exploring new ways of manipulating information,

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using everything from DNA to quantum particles.

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They hope that this work will usher in a new information age,

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every bit as transformative as the last.

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What we now know is that we are just at the beginning of our journey

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to unlock the power of information.

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It's always been clear that creating physical order -

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the structures we see around us - has a cost.

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We need to do work to expend energy to build them.

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But in the last few years, we've learnt that ordering information,

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creating the invisible, digital structures of the modern world,

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also has an inescapable cost.

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As abstract and ethereal as information seems,

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we now know it must always be embodied in a physical system.

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I find this an incredibly exciting idea.

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Think about it this way - a lump of clay can be used to write a poem on.

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Molecules of air can carry the sound of a symphony.

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And a single photon is like a paint brush.

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Every aspect of the physical universe

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can be thought of as a blank canvas,

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which we can use to build beauty, structure and order.

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