Fuck America, or why the British cultural elite’s subservience to all things American is a form of cultural and political betrayal

Polemic – a strong verbal or written attack on someone or something

WHY are progressive publications like the Guardian and Independent and Huffington Post, and all the BBC TV and radio channels, and most other radio and TV stations and so many British-based culture websites, so in thrall to, so subservient to, so obsessed by the culture and politics of the United States of America – this shameful, ailing, failing, racist, global capitalist, violent, imperialist monster nation?

WHY are we subjected every year to the obsessive coverage of American movies and movie stars and the Golden Globes and the Oscars? American movies are consumer capitalism in its purest, most exploitative form.

WHY the endless TV programmes which send chefs, comedians and pop stars off on road trips to the same old destinations across America, or yet another tired documentary about the art scene or music or street life of New York or California?

WHY the endless American voices on radio and TV, on the news and in the papers?

WHY is it impossible to have any programmes or discussions about the internet or social media or artificial intelligence which are not dominated by American experts and American gurus? Does no-one in Britain know anything aboutn the internet?

SURELY the efforts of the progressive Left should be on REJECTING American influence – rejecting its violence and gun culture and political extremism and military imperialism and drug wars and grotesque prison population – rejecting American influence at every level and trying to sustain and extend traditional European values of social democracy?


Fuck America (a poem to be shouted through a megaphone on the model of Howl by Allen Ginsberg)

Fuck America with its screwed-up race relations, its black men shot on a weekly basis by its racist police.

Fuck America, proud possessor of the largest prison population in the world (2.2 million), disproportionately blacks and Hispanics.

Fuck America with its ridiculous war on drugs. President Nixon declared that war in 1971, has it succeeded in wiping out cocaine and heroin use?

Fuck America, world leader in opioid addiction.

Fuck America and its urban decay, entire cities like Detroit, Birmingham and Flint abandoned in smouldering ruins, urban wastelands, blighted generations.

Fuck America with its out-of-control gun culture, its high school massacres and the daily death toll among its feral street gangs.

Fuck America with its shameful healthcare system which condemns tens of millions of citizens to misery, unnecessary pain and early death.

Fuck America with its endless imperialist wars. The war in Afghanistan began in 2003 and is still ongoing. It is estimated to have cost $2 trillion and failed in almost all its objectives.

Fuck America with its hypertrophic consumer capitalism, its creation of entirely false needs and wants, its marketing of junk food, junk music and junk movies to screw money out of a glamour-dazzled population of moronic drones.

Fuck America and the ever-deeper penetration of our private lives and identities and activities by its creepy social media, phone and internet giants. Fuck Amazon, Facebook and Google and their grotesque evasion of tax in their host countries.

Fuck American universities with their promotion of woke culture, their extreme and angry versions of feminism, black and gay rights, which originate in the uniquely exaggerated hypermasculinity of their absurd Hollywood macho stereotypes and the horrors of American slavery – an extreme and polarising culture war which has generated a litany of abusive terms – ‘pale, male and stale’, ‘toxic masculinity’, ‘white male rage’, ‘the male gaze’, ‘mansplaining’, ‘whitesplaining’ – which have not brought about a peaceful happy society but serve solely to fuel the toxic animosities between the embittered minorities of an increasingly fragmented society.

Fuck America with its rotten political culture, the paralysing political polarisation which regularly brings the entire government to the brink of collapse, with its Tea Party and its Moral Majority and its President Trump. Nations get the leaders they deserve and so America has awarded itself a bullshit artist, a dumb-ass, know-nothing, braggart, pussy-grabbing bully-boy. Well, they deserve him but he’s nothing to do with me. I didn’t vote for him. He doesn’t rule me. Like all other Americans, he can fuck off.

It’s a disgusting indictment of a bloated, decadent, failing state.

So WHY ON EARTH are so many ‘progressive’ media outlets, artists, writers and gallery curators so in thrall to this monstrous, corrupt, violent and immoral rotting empire?


References

The American War on Terror

Joseph Stiglitz, former chief economist of the World Bank and winner of the Nobel Prize in Economics, and Linda Bilmes of Harvard University, have stated the total costs of the Iraq War on the US economy will be three trillion dollars and possibly more, in their book The Three Trillion Dollar War published in March 2008. This estimate does not include the cost to the rest of the world, or to Iraq. (Financial cost of the Iraq War)

Between 480,000 and 507,000 people have been killed in the United States’ post-9/11 wars in Iraq, Afghanistan, and Pakistan. (Human Cost of the Post-9/11 Wars)

The cost of nearly 18 years of war in Afghanistan will amount to more than $2 trillion. Was the money well spent? There is little to show for it. The Taliban control much of the country. Afghanistan remains one of the world’s largest sources of refugees and migrants. More than 2,400 American soldiers and more than 38,000 Afghan civilians have died. (What Did the U.S. Get for $2 trillion in Afghanistan?)

American Torture

‘After the U.S. dismissed United Nations concerns about torture in 2006, one UK judge observed, “America’s idea of what is torture … does not appear to coincide with that of most civilized nations.”‘ (Torture and the United States)

American Drone Attacks

The Intercept magazine reported, ‘Between January 2012 and February 2013, U.S. special operations airstrikes [in northeastern Afghanistan] killed more than 200 people. Of those, only 35 were the intended targets. During one five-month period of the operation, according to the documents, nearly 90 percent of the people killed in airstrikes were not the intended targets.’

During President Obama’s presidency, the use of drone strikes dramatically increased compared to their use under the Bush administration. This was the unforeseen result of Obama’s election pledges not to risk US servicemen’s lives, to reduce the costs of America’s terror wars, and to be more effective.

Black men shot by police in America

The American Prison Population

The United States represents about 4.4 percent of the world’s population but houses around 22 percent of the world’s prisoners, some 2.2 million prisoners, 60% of them black or Hispanic, giving it the highest incarceration rate, per head, of any country in the world. The Land of the Free is more accurately described as the Land of the Locked-Up. (Comparison of United States incarceration rate with other countries)

American Drug addiction

‘The number of people suffering from addiction in America is astounding.’ (Statistics on Drug Addiction)

The American Opioid epidemic

Every day, more than 130 people in the United States die after overdosing on opioids. (Opioid Overdose Crisis)

American Urban decay

Motor City Industrial Park

An abandoned car company plant known as Motor City Industrial Park, Detroit (2008)

Extreme poverty in America

An estimated 41 million Americans live in poverty. (A journey through a land of extreme poverty: welcome to America)

American Gun culture

‘The gun culture of the United States can be considered unique among developed countries in terms of the large number of firearms owned by civilians, generally permissive regulations, and high levels of gun violence.’ (Gun culture in the United States)

American Mass shootings

Comparing deaths from terrorist attack with deaths from Americans shooting each other (and themselves)

‘For every one American killed by an act of terror in the United States or abroad in 2014, more than 1,049 died because of guns. Using numbers from the Centers for Disease Control and Prevention, we found that from 2001 to 2014, 440,095 people died by firearms on US soil… This data covered all manners of death, including homicide, accident and suicide. According to the US State Department, the number of US citizens killed overseas as a result of incidents of terrorism from 2001 to 2014 was 369. In addition, we compiled all terrorism incidents inside the United States and found that between 2001 and 2014, there were 3,043 people killed in domestic acts of terrorism. This brings the total to 3,412.’

So: from 2001 to 2014 3,412 deaths from terrorism (almost all in 9/11); over the same period, 440,095 gun-related deaths. (CNN: American deaths in terrorism vs. gun violence in one graph) Does America declare a three trillion dollar war on guns? Nope.

American Healthcare

‘About 44 million people in this country have no health insurance, and another 38 million have inadequate health insurance. This means that nearly one-third of Americans face each day without the security of knowing that, if and when they need it, medical care is available to them and their families.’ (Healthcare crisis)

‘Americans spend twice per capita what France spends on health care, but their life expectancy is four years shorter, their rates of maternal and infant death are almost twice as high, and, unlike the French, Americans leave 30 million people uninsured. The amount Americans spend unnecessarily on health care weighs more heavily on their economy, Case and Deaton write, than the Versailles Treaty reparations did on Germany’s in the 1920s.’ (Left Behind by Helen Epstein)

American Junk Food

‘Obesity rates in the United States are the highest in the world.’ (Obesity in the United States)


So

So WHY are British curators so slavishly in thrall to American painters, sculptures, artists, photographers, novelists, playwrights and – above all – film-makers?

Because they’re so much richer, more glamorous, more fun and more successful than the handful of British artists depicting the gloomy, shabby British scene?

In my experience, British film and documentary makers, writers and commentators, artists and curators, are all far more familiar with the geography, look and feel and issues and restaurants of New York and Los Angeles than they are with Nottingham or Luton.

Here’s an anecdote:

In the week commencing Monday 20 February 2017 I was listening to radio 4’s World At One News which was doing yet another item about Brexit. The presenter, Martha Kearney, introduced a piece from Middlesbrough, where a reporter had gone to interview people because it had one of the highest Leave voters in the country. Anyway, Kearney introduced Middlesbrough as being in the North-West of England. Then we listened to the piece. But when we came back to Kearney 3 minutes later, she made a hurried apology. She explained that she should, of course, have said that Middlesbrough is in the North-East of England

Think about it for a moment. The researcher who researched the piece and wrote the link to it must have thought Middlesbrough is in the North-West of England. Any sub-editor who reviewed and checked the piece must have thought Middlesbrough is in the North-West. The editor of the whole programme presumably had sight of the piece and its link before approving it and so also thought that Middlesbrough is in the North-West of England. And then Kearney read the link out live on air and didn’t notice anything wrong, until – during the broadcast of the actual item – someone somewhere finally realised they’d made a mistake. Martha Kearney also thought Middlesbrough is in the North-West of England.

So nobody working on one of Radio 4’s flagship news programmes knows where in England Middlesbrough is.

How do people in Middlesbrough feel about this? Do you think it confirms everything they already believe about Londoners and the people in charge of everything?

But there’s a sweet coda to this story. The following week, on 26 February 2017 the 89th Academy Awards ceremony was held in Los Angeles. There was an embarrassing cock-up over the announcement of the Best Picture Award, with host Warren Beatty initially reading out the wrong result (saying La La Land had won, when it was in fact Moonlight).

The point is that the following Monday, 27 February, Radio 4’s World At One had an item on the story and who did they get to talk about it? Martha Kearney! And why? Because Martha just happened to have been attending the Oscars ceremony and was sitting in the audience when the cock-up happened. Why? Because Martha’s husband works in films and was an executive producer of the Academy Awards nominated short documentary Watani: My Homeland (about Syrian refugees, naturally).

And Martha’s background?

Martha Kearney was brought up in an academic environment; her father, the historian Hugh Kearney, taught first at Sussex and later at Edinburgh universities. She was educated at St Joseph’s Catholic School, Burgess Hill, before attending the independent Brighton and Hove High School and completing her secondary education at George Watson’s Ladies College in Edinburgh (a private school with annual fees of £13,170.) From 1976 to 1980 she read classics at St Anne’s College, Oxford.

So: private school-educated BBC presenter Martha Kearney knows more about the Oscars and Los Angeles and the plight of Syrian refugees than she does about the geography of her own country.

For me this little nexus of events neatly crystalises the idea of a metropolitan, cultural and media élite. It combines an upper-middle-class, university-and-private school milieu – exactly the milieu John Gray and other analysts highlight as providing the core vote for the modern urban bourgeois Labour Party – with an everso earnest concern for fashionable ‘issues’ (Syrian refugees), a slavish adulation of American culture and awards and glamour and dazzle, and a chronic ignorance about the lives and experiences of people in the poorer provincial parts of her own country.

To summarise: in my opinion the British cultural élite’s slavish adulation of American life and values is intimately entwined with its ignorance of, and contempt for, the lives and opinions of the mass of their own countrymen and woman, and is a form of political and cultural betrayal.


Importing woke culture which is not appropriate to Britain

Obviously Britain has its own racism and sexism and homophobia which need to be addressed, but I want to make three points:

1. Britain is not America The two countries have very, very different histories. The history of American slavery, intrinsic to the development of the whole country and not abolished until 1865 and at the cost of one of the bloodiest wars of all time, is not the same as the history of black people in this country, who only began to arrive in significant numbers after the Second World War. The histories of masculinity and femininity in America were influenced after the war by the gross stereotypes promoted by Hollywood and American advertising and TV (John Wayne, Henry Fonda, Marilyn Monroe). These are not the same as the images of masculinity and femininity you find in British movies or popular of the same period (Dirk Bogarde, John Mills, Sylvia Sim).

These are just a handful of ways in which eliding the histories of these two very different countries leads to completely misleading results.

I’m not saying sexism, racism and homophobia don’t exist in Britain, Good God no. I’m trying to emphasise that addressing issues like sexism and racism and homophobia in Britain requires a detailed and accurate study of the specifically British circumstances under which they developed.

Trying to solve British problems with American solutions won’t work. Describing the British situation with American terminology won’t work. Which brings me to my second point:

2. American rhetoric inflames The wholesale importing of the extreme, angry and divisive woke rhetoric which has been invented and perfected on American university campuses inflames the situation in Britain without addressing the specifically British nature and the specifically British history of the problems.

3. Eliding American problems with British problems, and using American terminology and American political tropes to describe British history, British situations and British social problems leads inevitably to simplifying and stereotyping these problems.

For British feminists to say all British men in positions of power are like Harvey Weinstein is like me saying all women drivers are rubbish. It’s just a stupid stereotype. It doesn’t name names, or gather evidence, or begin court proceedings, or gain convictions, or lobby politicians, or draft legislation, or pass Acts of Parliament to address the issue. It’s just generalised abuse, and one more contribution to the sewer of toxic abuse which all public and political discourse is turning into, thanks to American social media.

Importing American social problems and American political rhetoric and American toxic abuse into the specifically British arena is not helping – it is only exacerbating the fragmentation of British society into an ever-growing number of permanently angry and aggrieved constituencies, a situation which is already at a toxic level in America, and getting steadily worse here.

Where does it all end? Well, what have all the efforts of a million woke American academics and writers and actors and film-makers and artists and photographers and feminists and black activists and LGBT+ campaigners led up to? A peaceful, liberated and enlightened land? No. To President Donald Trump.

WHY on earth would anyone think this is a culture to be touched with a long barge pole while wearing a hazchem suit, let alone imported wholesale and gleefully celebrated?

In my opinion it’s like importing the plague and saying, ‘Well they have it in America: we ought to have it here.’

Advertising posters on the tube today 27/2/2020

  • TINA: The Tina Turner musical
  • THE LION KING musical
  • 9 TO 5 the musical
  • THE BOOK OF MORMON musical
  • THRILLER the musical
  • WICKED the musical
  • PRETTY WOMAN the musical
  • TATE membership, promoted by an Andy Warhol silkscreen of Marilyn

Which is why, in this context and amid this company, when the curators of the Masculinities exhibition at the Barbican choose to promote it with a photo of a black man they may think they’re being radical and diverse: but all I notice is that their poster is featuring one more American man photographed by an American photographer to promote an exhibition stuffed with American cultural products, which takes its place alongside all the other American cultural imports which saturate our culture.

Think I’m exaggerating?

Recent British exhibitions celebrating American artists and photographers


Related blog posts

Alex’s Adventures In Numberland by Alex Bellos (2010)

Alexander Bellos (born in 1969) is a British writer and broadcaster. He is the author of books about Brazil and mathematics, as well as having a column in The Guardian newspaper. After adventures in Brazil (see his Wikipedia page) he returned to England in 2007 and wrote this, his first book. It spent four months in the Sunday Times bestseller list and led on to five more popular maths books.

It’s a hugely enjoyable read for three reasons:

  1. Bellos immediately establishes a candid, open, good bloke persona, sharing stories from his early job as a reporter on the Brighton Argus, telling some colourful anecdotes about his time in Brazil and then being surprisingly open about the way that, when he moved back to Britain, he had no idea what to do. The tone of the book is immediately modern, accessible and friendly.
  2. However this doesn’t mean he is verbose. The opposite. The book is packed with fascinating information. Every single paragraph, almost every sentence contains a fact or insight which makes you sit up and marvel. It is stufffed with good things.
  3. Lastly, although its central theme is mathematics, it approaches this through a wealth of information from the humanities. There is as much history and psychology and anthropology and cultural studies and philosophy as there is actual maths, and these are all subjects which the average humanities graduate can immediately relate to and assimilate.

Chapter Zero – A Head for Numbers

Alex meets Pierre Pica, a linguist who’s studied the Munduruku people of the Amazon and discovered they have little or no sense of numbers. They only have names for numbers up to five. Also, they cluster numbers together logarithmically i.e. the higher the number, the closer together they clustered them. Same thing is done by kindergarten children who only slowly learn that numbers are evenly spaced, in a linear way.

This may be because small children and the Munduruku don’t count so much as estimate using the ratios between numbers.

It may also be because above a certain number (five) Stone Age man needed to make quick estimates along the lines of, Are there more wild animals / members of the other gang, than us?

Another possibility is that distance appears to us to be logarithmic due to perspective: the first fifty yards we see in close detail, the next fifty yards not so detailed, beyond 100 yards looking smaller, and so on.

It appears that we have to be actively taught when young to overcome our logarithmic instincts, and to apply the rule that each successive whole number is an equal distance from its predecessor and successor i.e. the rational numbers lies along a straight line at regular intervals.

More proof that the logarithmic approach is the deep, hard-wired one is the way most of us revert to its perspective when considering big numbers. As John Allen Paulos laments, people make no end of fuss about discrepancies between 2 or 3 or 4 – but are often merrily oblivious to the difference between a million or a billion, let alone a trillion. For most of us these numbers are just ‘big’.

He goes on to describe experiments done on chimpanzees, monkeys and lions which appear to show that animals have the ability to estimate numbers. And then onto experiments with small babies which appear to show that as soon as they can focus on the outside world, babies can detect changes in number of objects.

And it appears that we also have a further number skill, that guesstimating things – the journey takes 30 or 40 minutes, there were twenty or thirty people at the party, you get a hundred, maybe hundred and fifty peas in a sack. When it comes to these figures almost all of us give rough estimates.

To summarise:

  • we are sensitive to small numbers, acutely so of 1, 2, 3, 4, less so of 5, 6, 7, 8, 9
  • left to our own devices we think logarithmically about larger numbers i.e lose the sense of distinction between them, clump them together
  • we have a good ability to guesstimate medium size numbers – 30, 40, 100

But it was only with the invention of notation, a way of writing numbers down, that we were able to create the linear system of counting (where every number is 1 larger than its predecessor, laid out in a straight line, at regular intervals).

And that this cultural invention enabled human beings to transcend our vague guesstimating abilities, and laid the basis for the systematic manipulation of the world which followed

Chapter One – The Counter Culture

The probable origins of counting lie in stock taking in the early agricultural revolution some 8,000 years ago.

We nowadays count using a number base 10 i.e. the decimal system. But other bases have their virtues, especially base 12. It has more factors i.e. is easier to divide: 12 can be divided neatly by 2, 3, 4 and 6. A quarter of 10 is 2.5 but of 12 is 3. A third of 10 is 3.333 but of 12 is 4. Striking that a version of the duodecimal system (pounds, shillings and pence) hung on in Britain till we finally went metric in the 1970s. There is even a Duodecimal Society of America which still actively campaigns for the superiority of a base 12 counting scheme.

Bellos describes a bewildering variety of other counting systems and bases. In 1716 King Charles XII of Sweden asked Emmanuel Swedenborg to devise a new counting system with a base of 64. The Arara in the Amazon count in pairs, the Renaissance author Luca Paccioli was just one of hundreds who have devised finger-based systems of counting – indeed, the widespread use of base 10 probably stems from the fact that we have ten fingers and toes.

He describes a complicated Chinese system where every part of the hand and fingers has a value which allows you to count up to nearly a billion – on one hand!

The Yupno system which attributes a different value for parts of the body up to its highest number, 33, represented by the penis.

Diagram showing numbers attributed to parts of the body by the Yupno tribe

Diagram showing numbers attributed to parts of the body by the Yupno tribe

There’s another point to make about his whole approach which comes out if we compare him with the popular maths books by John Allen Paulos which I’ve just read.

Paulos clearly sees the need to leaven his explanations of comparative probability and Arrow’s Theorem and so on with lighter material and so his strategy is to chuck into his text things which interest him: corny jokes, anecdotes about baseball, casual random digressions which occur to him in mid-flow. But al his examples clearly 1. emanate from Paulos’s own interests and hobby horses (especially baseball) and 2. they are tacked onto the subjects being discussed.

Bellos, also, has grasped that the general reader needs to be spoonfed maths via generous helpings of other, more easily digestible material. But Bellos’s choice of material arises naturally from the topic under discussion. The humour emerges naturally and easily from the subject matter instead of being tacked on in the form of bad jokes.

You feel yourself in the hands of a master storyteller who has all sorts of wonderful things to explain to you.

In fourth millennium BC, an early counting system was created by pressing a reed into soft clay. By 2700 BC the Sumerians were using cuneiform. And they had number symbols for 1, 10, 60 and 3,600 – a mix of decimal and sexagesimal systems.

Why the Sumerians grouped their numbers in 60s has been described as one of the greatest unresolved mysteries in the history of arithmetic. (p.58)

Measuring in 60s was inherited by the Babylonians, the Egyptians and the Greeks and is why we still measure hours in 60 minutes and the divisions of a circle by 360 degrees.

I didn’t know that after the French Revolution, when the National Convention introduced the decimal system of weights and measures, it also tried to decimalise time, introducing a new system whereby every day would be divided into ten hours, each of a hundred minutes, each divided into 100 seconds. Thus there were a very neat 10 x 100 x 100 = 100,000 seconds in a day. But it failed. An hour of 60 minutes turns out to be a deeply useful division of time, intuitively measurable, and a reasonable amount of time to spend on tasks. The reform was quietly dropped after six months, although revolutionary decimal clocks still exist.

Studies consistently show that Chinese children find it easier to count than European children. This may be because of our system of notation, or the structure of number names. Instead of eleven or twelve, Chinese, Japanese and Koreans say the equivalent of ten one, ten two. 21 and 22 become two ten one and two ten two. It has been shown that this makes it a lot simpler and more intuitive to do basic addition and subtraction.

Bellos goes on to describe the various systems of abacuses which have developed in different cultures, before explaining the phenomenal popularity of abacus counting, abacus clubs, and abacus championships in Japan which helps kids develop the ability to perform anzan, using the mental image of an abacus to help its practitioners to sums at phenomenal speed.

Chapter Two – Behold!

The mystical sense of the deep meaning of numbers, from Pythagoras with his vegetarian religious cult of numbers in 4th century BC Athens to Jerome Carter who advises leading rap stars about the numerological significance of their names.

Euclid and the elegant and pure way he deduced mathematical theorems from a handful of basic axioms.

A description of the basic Platonic shapes leads into the nature of tessalating tiles, and the Arab pioneering of abstract design. The complex designs of the Sierpinski carpet and the Menger sponge. And then the complex and sophisticated world of origami, which has its traditionalists, its pioneers and surprising applications to various fields of advanced science, introducing us to the American guru of modern origami, Robert Lang, and the Japanese rebel, Kazuo Haga, father of Haga’s Theorem.

Chapter Three – Something About Nothing

A bombardment of information about the counting systems of ancient Hindus, Buddhists, about number symbols in Sanskrit, Hebrew, Greek and Latin. How the concept of zero was slowly evolved in India and moved to the Muslim world with the result that the symbols we use nowadays are known as the Arabic numerals.

A digression into ‘a set of arithmetical tricks known as Vedic Mathematics ‘ devised by a young Indian swami at the start of the twentieth century, Bharati Krishna Tirthaji, based on a series of 16 aphorisms which he found in the ancient holy texts known as the Vedas.

Shankaracharya is a commonly used title of heads of monasteries called mathas in the Advaita Vedanta tradition. Tirthaji was the Shankaracharya of the monastery at Puri. Bellos goes to visit the current Shankaracharya who explains the closeness, in fact the identity, of mathematics and Hindu spirituality.

Chapter Four – Life of Pi

An entire chapter about pi which turns out not only to be a fundamental aspect of calculating radiuses and diameters and volumes of circles and cubes, but also to have a long history of mathematicians vying with each other to work out its value to as many decimal places as possible (we currently know the value of pi to 2.7 trillion decimal places) and the surprising history of people who have set records reciting the value if pi.

Thus, in 2006, retired Japanese engineer Akira Haraguchi set a world record for reciting the value of pi to the first 100,000 decimal places from memory! It took 16 hours with five minute beaks every two hours to eat rice balls and drink some water.

There are several types or classes of numbers:

  • natural numbers – 1, 2, 3, 4, 5, 6, 7…
  • integers – all the natural numbers, but including the negative ones as well – …-3, -2, -1, 0, 1, 2, 3…
  • fractions
  • which are also called rational numbers
  • numbers which cannot be written as fractions are called irrational numbers
  • transcendent numbers – ‘a transcendental number is an irrational number that cannot be described by an equation with a finite number of terms’

The qualities of the heptagonal 50p coin and the related qualities of the Reuleux triangle.

Chapter Five – The x-factor

The origin of algebra (in Arab mathematicians).

Bellos makes the big historical point that for the Greeks (Pythagoras, Plato, Euclid) maths was geometric. They thought of maths as being about shapes – circles, triangles, squares and so on. These shapes had hidden properties which maths revealed, thus giving – the Pythagoreans thought – insight into the secret deeper values of the world.

It is only with the introduction of algebra in the 17th century (Bellos attributes its widespread adoption to Descartes’s Method in the 1640s) that it is possible to fly free of shapes into whole new worlds of abstract numbers and formulae.

Logarithms turn the difficult operation of multiplication into the simpler operation of addition. If X x Y = Z, then log X + log Y = log Z. They were invented by a Scottish laird John Napier, and publicised in a huge book of logarithmic tables published in 1614. Englishman Henry Briggs established logarithms to base 10 in 1628. In 1620 Englishman Edmund Gunter marked logarithms on a ruler. Later in the 1620s Englishman William Oughtred placed two logarithmic rulers next to each other to create the slide rule.

Three hundred years of dominance by the slide rule was brought to a screeching halt by the launch of the first pocket calculator in 1972.

Quadratic equations are equations with an x and an x², e.g. 3x² + 2x – 4 = 0. ‘Quadratics have become so crucial to the understanding of the world, that it is no exaggeration to say that they underpin modern science’ (p.200).

Chapter Six – Playtime

Number games. The origin of Sudoku, which is Japanese for ‘the number must appear only once’. There are some 5 billion ways for numbers to be arranged in a table of nine cells so that the sum of any row or column is the same.

There have, apparently, only been four international puzzle crazes with a mathematical slant – the tangram, the Fifteen puzzle, Rubik’s cube and Sudoku – and Bellos describes the origin and nature and solutions to all four. More than 300 million cubes have seen sold since Ernö Rubik came up with the idea in 1974. Bellos gives us the latest records set in the hyper-competitive sport of speedcubing: the current record of restoring a copletely scrambled cube to order (i.e. all the faces of one colour) is 7.08 seconds, a record held by Erik Akkersdijk, a 19-year-old Dutch student.

A visit to the annual Gathering for Gardner, honouring Martin Gardner, one of the greatest popularisers of mathematical games and puzzles who Bellos visits. The origin of the ambigram, and the computer game Tetris.

Chapter Seven – Secrets of Succession

The joy of sequences. Prime numbers.

The fundamental theorem of arithmetic – In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 either is a prime number itself or can be represented as the product of prime numbers.

The Goldbach conjecture – one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states that, Every even integer greater than 2 can be expressed as the sum of two primes. The conjecture has been shown to hold for all integers less than 4 × 1018, but remains unproven despite considerable effort.

Neil Sloane’s idea of persistence – The number of steps it takes to get to a single digit by multiplying all the digits of the preceding number to obtain a second number, then multiplying all the digits of that number to get a third number, and so on until you get down to a single digit. 88 has a persistence of three.

88 → 8 x 8 = 64 → 6 x 4 = 24 → 2 x 4 = 8

John Horton Conway’s idea of the powertrain – For any number abcd its powertrain goes to abcd, in the case of numbers with an odd number of digits the final one has no power, abcde’s powertrain is abcde.

The Recamán sequence Subtract if you can, unless a) it would result in a negative number or b) the number is already in the sequence. The result is:

0, 1, 3, 6, 2, 7, 13, 20, 12, 21, 11….

Gijswijt’s sequence a self-describing sequence where each term counts the maximum number of repeated blocks of numbers in the sequence immediately preceding that term.

1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, …

Perfect number A perfect number is any number that is equal to the sum of its factors. Thus 6 – its factors (the numbers which divided into it) are 1, 2 and 3. Which also add up to (are the sum of) 6. The next perfect number is 28 because its factors – 1, 2, 4, 7, 14 – add up to 28. And so on.

Amicable numbers A number is amicable if the sum of the factors of the first number equals the second number, and if the sum of the factors of the second number equals the first. The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110. Added together these make 284. The factors of 284 are 1, 2, 4, 71 and 142. Added together they make 220!

Sociable numbers In 1918 Paul Poulet invented the term sociable numbers. ‘The members of aliquot cycles of length greater than 2 are often called sociable numbers. The smallest two such cycles have length 5 and 28’

Mersenne’s prime A prime number which can be written in the form 2n – 1 a prime number that is one less than a power of two. That is, it is a prime number of the form Mn = 2n − 1 for some integer n. The exponents n which give Mersenne primes are 2, 3, 5, 7, 13, 17, 19, 31, … and the resulting Mersenne primes are 3, 7, 31, 127, 8191, 131071, 524287, 2147483647, …

These and every other sequence ever created by humankind are documented on The On-Line Encyclopedia of Integer Sequences (OEIS), also cited simply as Sloane’s. This is an online database of integer sequences, created and maintained by Neil Sloane while a researcher at AT&T Labs.

Chapter Eight – Gold Finger

The golden section a number found by dividing a line into two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part.

Phi The number is often symbolized using phi, after the 21st letter of the Greek alphabet. In an equation form:

a/b = (a+b)/a = 1.6180339887498948420 …

As with pi (the ratio of the circumference of a circle to its diameter), the digits go on and on, theoretically into infinity. Phi is usually rounded off to 1.618.

The Fibonnaci sequence Each number in the sequence is the sum of the two numbers that precede it. So the sequence goes: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on. The mathematical equation describing it is Xn+2= Xn+1 + Xn.

as the basis of seeds in flowerheads, arrangement of leaves round a stem, design of nautilus shell and much more.

Chapter Nine – Chance Is A Fine Thing

A chapter about probability and gambling.

Impossibility has a value 0, certainty a value 1, everything else is in between. Probabilities can be expressed as fractions e.g. 1/6 chance of rolling a 6 on a die, or as percentages, 16.6%, or as decimals, 0.16…

The probability is something not happening is 1 minus the probability of that thing happening.

Probability was defined and given mathematical form in 17th century. One contribution was the questions the Chevalier de Méré asked the mathematical prodigy Blaise Pascal. Pascal corresponded with his friend, Pierre de Fermat, and they worked out the bases of probability theory.

Expected value is what you can expect to get out of a bet. Bellos takes us on a tour of the usual suspects – rolling dice, tossing coins, and roulette (invented in France).

Payback percentage if you bet £10 at craps, you can expect – over time – to receive an average of about £9.86 back. In other words craps has a payback percentage of 98.6 percent. European roulette has a payback percentage of 97.3 percent. American roulette, 94.7 percent. On other words, gambling is a fancy way of giving your money away. A miserly slot machine has a payback percentage of 85%. The National Lottery has a payback percentage of 50%.

The law of large numbers The more you play a game of chance, the more likely the results will approach the statistical probability. Toss a coin three times, you might get three heads. Toss a coin a thousand times, the chances are you will get very close the statistical probability of 50% heads.

The law of very large numbers With a large enough sample, outrageous coincidences become likely.

The gambler’s fallacy The mistaken belief that, if something happens more frequently than normal during a given period, it will happen less frequently in the future (or vice versa). In other words, that a random process becomes less random, and more predictable, the more it is repeated.

The birthday paradox The probability that, in a set of n randomly chosen people, some pair of them will have the same birthday. By the pigeonhole principle, the probability reaches 100% when the number of people reaches 367 (since there are only 366 possible birthdays, including February 29). However, 99.9% probability is reached with just 70 people, and 50% probability with 23 people. (These conclusions are based on the assumption that each day of the year (excluding February 29) is equally probable for a birthday.) In other words you only need a group of 23 people to have an evens chance that two of them share a birthday.

The drunkard’s walk

The difficulty of attaining true randomness and the human addiction to finding meaning in anything.

The distinction between playing strategy (best strategy to win a game) and betting strategy (best strategy to maximise your winnings), not always the same.

Chapter Ten – Situation Normal

Carl Friedrich Gauss, the bell curve, normal distribution aka Gaussian distribution. Normal or Gaurrian distribution results in a bell curve. Bellos describes the invention and refinement of the bell curve (he explains that ‘the long tail’ results from a mathematician who envisioned a thin bell curve as looking like two kangaroos facing each other with their long tails heading off in opposite directions). And why

Regression to the mean – if the outcome of an event is determined at least in part by random factors, then an extreme event will probably be followed by one that is less extreme. And recent devastating analyses which show how startlingly random sports achievements are, from leading baseball hitters to Simon Kuper and Stefan Szymanski’s analysis of the form of the England soccer team.

Chapter Eleven – The End of the Line

Two breakthroughs which paved the way for modern i.e. 20th century, maths: the invention of non-Euclidean geometry, specifically the concept of hyperbolic geometry. To picture this draw a triangle on a Pringle. it is recognisably a triangle but all its angles do not add up to 180°, therefore it defies, escapes, eludes all the rule of Euclidean geometry, which were designed for flat 2D surfaces.

Bellos introduces us to Daina Taimina, a maths prof at Cornell University, who invented a way of crocheting hyperbolic surfaces. The result looks curly, like curly kale or the surface of coral.

Anyway, the breakaway from flat 2-D Euclidean space led to theories about curved geometry, either convex like a sphere, or hyperbolic like the pringle. It was this notion of curved space, which paved the way for Einstein’s breakthrough ideas in the early 20th century.

The second big breakthrough was Georg Cantor’s discovery that you can have many different types of infinity. Until Cantor the mathematical tradition from the ancient Greeks to Galileo and Newton had fought shy of infinity which threatened to disrupt so many formulae.

Cantor’s breakthrough was to stop thinking about numbers, and instead think of sets. This is demonstrated through the paradoxes of Hilbert’s Hotel. You need to buckle your safety belt to understand it.

Thoughts

This is easily the best book about maths I’ve ever read. It gives you a panoramic history of the subject which starts with innumerate cavemen and takes us to the edge of Einstein’s great discoveries. But Bellos adds to it all kinds of levels and abilities.

He is engaging and candid and funny. He is fantastically authoritative, taking us gently into forests of daunting mathematical theory without placing a foot wrong. He’s a great explainer. He knows a good story when he sees one, and how to tell it engagingly. And in every chapter there is a ‘human angle’ as he describes his own personal meetings and interviews with many of the (living) key players in the world of contemporary maths, games and puzzles.

Like the Ian Stewart book but on a vastly bigger scale, Bellos makes you feel what it is like to be a mathematician, not just interested in nature’s patterns (the basis of Stewart’s book, Nature’s Numbers) but in the beauty of mathematical theories and discoveries for their own sakes. (This comes over very strongly in chapter seven with its description of some of the weirdest and wackiest number sequences dreamed up by the human mind.) I’ve often read scientists describing the beauty of mathematical theories, but Bellos’s book really helps you develop a feel for this kind of beauty.

For me, I think three broad conclusions emerged:

1. Most mathematicians are in it for the fun. Setting yourself, and solving, mathematical puzzles is obviously extremely rewarding. Maths includes the vast territory of puzzles and games, such as the Sudoku and so on he describes in chapter six. Obviously it has all sorts of real-world application in physics, engineering and so on, but Bellos’s book really brings over that a true understanding of maths begins in puzzles, games and patterns, and often remains there for a lifetime. Like everything else maths is no highly professionalised the property of tenured professors in universities; and yet even to this day – as throughout its history – contributions can be made by enthusiastic amateurs.

2. As he points out repeatedly, many insights which started out as the hobby horses of obsessives, or arcane breakthroughs on the borders of our understanding, and which have been airily dismissed by the professionals, often end up being useful, having applications no-one dreamed of. Either they help unravel aspects of the physical universe undreamed of when they were discovered, or have been useful to human artificers. Thus the development of random number sequences seemed utterly pointless in the 19th century, but now underlies much internet security.

On a profounder note, Bellos expresses the eerie, mystical sense many mathematicians have that it seems so strange, so pregnant with meaning, that so many of these arcane numbers end up explaining aspects of the world their inventors knew nothing of. Ian Stewart has an admirably pragmatic explanation for this: he speculates that nature uses everything it can find in order to build efficient life forms. Or, to be less teleological, over the past 3 and a half billion years, every combination of useful patterns has been tried out. Given this length of time, and the incalculable variety of life forms which have evolved on this planet, it would be strange if every number system conceivable by one of those life forms – humankind – had not been tried out at one time or another.

3. My third conclusion is that, despite John Allen Paulos’s and Bellos’s insistence, I do not live in a world ever-more bombarded by maths. I don’t gamble on anything, and I don’t follow sports – the two biggest popular areas where maths is important – and the third is the twin areas of surveys and opinion polls (55% of Americans believe in alien abductions etc etc) and the daily blizzard of reports (for example, I see in today’s paper that the ‘Number of primary school children at referral units soars’).

I register their existence but they don’t impact on me for the simple reason that I don’t believe any of them. In 1992 every opinion poll said John Major would lose the general election, but he won with a thumping majority. Since then I haven’t believed any poll about anything. For example almost all the opinion polls predicted a win for Remain in the Brexit vote. Why does any sane person believe opinion polls?

And ‘new and shocking’ reports come out at the rate of a dozen a day and, on closer examination, lots of them turn out to be recycled information, or much much more mundane releases of data sets from which journalists are paid to draw the most shocking and extreme conclusions. Some may be of fleeting interest but once you really grasp that the people reporting them to you are paid to exaggerate and horrify, you soon learn to ignore them.

If you reject or ignore these areas – sport, gambling and the news (made up of rehashed opinion polls, surveys and reports) – then unless you’re in a profession which actively requires the sophisticated manipulation of figures, I’d speculate that most of the rest of us barely come into contact with numbers from one day to the next.

I think that’s the answer to Paulos and Bellos when they are in their ‘why aren’t more people mathematically numerate?’ mode. It’s because maths is difficult, and counter-intuitive, and hard to understand and follow, it is a lot of work, it does make your head ache. Even trying to solve a simple binomial equation hurt my brain.

But I think the biggest reason that ‘we’ are so innumerate is simply that – beautiful, elegant, satisfying and thought-provoking though maths may be to the professionals – maths is more or less irrelevant to most of our day to day lives, most of the time.


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Psychology

All I Know Is What Is On The Internet @ the Photographers’ Gallery

Some exhibitions I respond to personally and emotionally; some I respond to intellectually, picking up on ideas or theories; and some leave me stone cold.

This is the text from the press release for All I Know Is What Is On The Internet.

All I Know Is What Is On The Internet presents the work of 11 contemporary artists and groups seeking to map, visualise and question the cultural dynamics of 21st century image culture.

Importantly, it investigates the systems through which today’s photographic images multiply online and asks what new forms of value, knowledge, meaning and labour arise from this endless (re)circulation of content.

Traditionally, photography has played a central role in documenting the world and helping us understand our place within it. However, in a social media age, the problem of understanding an individual photograph is being overwhelmed by the industrial challenge of processing millions of images within a frantically accelerated timeframe. Visual knowledge and authenticity are now inextricably linked to a ‘like’ economy, subject to the (largely invisible) actions of bots, crowdsourced workers, Western tech companies and ‘intelligent’ machines.

This exhibition focuses on the human labour and technical infrastructure required to sustain the web’s 24/7 content feed. The collected works explore the so-called ‘democratisation’ of information, and ask in whose interest this narrative serves. Paying attention to the neglected corners of digital culture, the artists here reveal the role of content moderators, book scanners, Google Street View photographers and everyday users in keeping images in circulation.

The exhibition considers the changing status of photography, as well as the agency of the photographer and the role of the viewer within this new landscape. The artists involved draw attention to the neglected corners of image production, making visible the vast infrastructure of digital platforms and human labour required to support the endless churn of selfies, cat pics and memes.

Taking its title from a Donald Trump quote, All I Know Is What’s On The Internet considers the digital conditions under which photography is produced , and the bodies and machines which help automate the flow of visual content online. Set against Silicon Valley’s desire to automate the processing of human knowledge, the exhibition seeks to make visible ‘the human in the algorithm’.

All I Know Is What’s On The Internet presents a radical exploration of photography when the boundaries between truth and fiction, machine and human are being increasingly called into question.

#Brigading_Conceit

The enormousness of the subject they’re tackling meant that each exhibit, object or installation required a lot of explanation. Take #Brigading_Conceit (2018) by Constant Dullaart.

#Brigading_Conceit (2018) by Constant Dullaart. Aluminium, automotive coating, forex, SIM cards, vesa mounts. Courtesy of Upstream Gallery Amsterdam

#Brigading_Conceit (2018) by Constant Dullaart. Aluminium, automotive coating, forex, SIM cards, vesa mounts. Courtesy of Upstream Gallery Amsterdam

It’s a very big installation hanging on a wall and looks, to me, like the cover of a laptop computer. In fact:

#Brigading_Conceit uses some of the thousands of SIM cards the artist purchased while building an army of fake followers on Facebook and Instagram. The most valuable fake accounts are PVAs (Phone Verified Accounts) which are registered on phone numbers bought in bulk in multiple countries. After verifying the account via SMS message, the SIM cards are often sold for the scrap value of the gold in the chip. Providing physical evidence of the industrial scale in which fake accounts are made, Dullart embeds these SIMs  in different materials, using arrangements reminiscent of army formations. The resulting compositions are representations of brigades made from artificial identities, a series of ‘standing armies’ to be deployed in ongoing and future information wars. Each image of the work tagged and uploaded to Instagram will attract the attention of Dullart’s army, who will bestow likes and automated comments. The semi-reflective surface reveals the form of each photographer whilst concealing their vanity in the effort of harvesting social feedback.

Quite a lot to take in, isn’t it?

And then, having read it all, looking back up at this butterfly made of silver laptop covers… what exactly are you to think? (It crossed my mind that Dullart might be a spoof name: Dull Art.)

IOCOSE A Crowded Apocalypse

IOCOSE A Crowded Apocalypse (2012).

IOCOSE A Crowded Apocalypse (2012)

This is, as you can see, a set of 18 photos arranged in three rows and six columns. As the wall label explains:

Crowdsourcing platforms such as Amazon’s Mechanical Turk provide a means for outsourcing small, repetitive tasks (‘micro-tasks’) to a distributed online workforce. These platforms were used by IOCOSE to assemble a crowd which would create its own conspiracy and then protest against its protagonists and effects. Firstly, the artists hired hundreds of anonymous workers to generate a set of symbols, companies, religious groups and mythical creatures. These were combined into a series of slogans and conspiracy theories by another set of workers. In the final stage, further workers photographed themselves taking to the streets protesting against this global conspiracy.

By operating as ‘artificial artificial intelligence’ (as Amazon touts its platform) the workers transform a practice of activism into a mechanical process. The result is a collection of singular, anonymous protests, whose slogans and claims barely makes sense. The workers, and the people around them, appear at the same time as victims and beneficiaries, actors and spectators of network technologies.

Nothing Personal

Or take the wall of the gallery which was completely covered in a ‘wallpaper’ collage of imagery and texts from the brave new digital world, and titled Nothing Personal (2014-15) by Mari Bastashevski.

Nothing Personal (2014-15) by Mari Bastashevski

Nothing Personal (2014-15) by Mari Bastashevski

Apparently,

In the past decade, the industry that satisfies governments’ demands for surveillance of mass communications has skyrocketed, and it is one of today’s most rapidly expanding markets. Most surveillance technologies are produced by American, European and Israeli companies and sold to anonymous clients and law enforcement agencies across Africa, Asia, Latin America and the Middle East.

While most of these products are undetectable by design, the industry has developed a collective corporate aesthetic using detached technical jargon, stock photography and sanitised clip-art. Nothing Personal presents material from over 300 surveillance companies, including fragment of correspondence between their employees and clients the artist found online.

On closer inspection, the people working within these companies – from the spaces they occupy – to the emails they send – seem to match the very image of the ‘enemy’ depicted by their own marketing.

World Brain

World Brain (2015) is an installation of logs of wood, scattered with wood chip surrounded by small piles of books, and video screens on the wall, the work of Degoutin & Wagon.

Installation view of World Brain (2015) by Degoutin & Wagon

Installation view of World Brain (2015) by Degoutin & Wagon

Explanation:

World Brain is a sprawling journey into the architecture of data centres, the collective intelligence of kittens, high-frequency trading and the creation of transhuman rats. Mixing documentary film and fiction, the artists explore the utopian dreams and ideologies which underpin the idea of a worldwide network and the development of collective intelligence.

The film is presented here is the film in two parts, with accompanying literature. Part one (21 mins 8 secs) is a journey into the physical spaces of the Internet exploring the complex structure of global Internet traffic. The second part (51 mins 54 secs) follows the wanderings of a group of researchers who try to survive in the forest using Wikipedia, with the ultimate aim of securing the survival of humankind.

World Brain is also available to watch online at: tpg.org.uk/worldbrain

Ironically, when I tried to access this URL, I found the video is unavailable and got this message:

This video contains content from Arte, who has blocked it in your country on copyright grounds.

Which may, or may not, be part of the work itself. Or an ironic comment on the work. Or the internet. Or something.

So this is an intensely cerebral exhibition, in the sense that you really have to focus on each of the works, read the explanatory text carefully, and then bring quite a lot of intelligence and knowledge of the subject to bear on each piece to assess whether they ‘work’ for you.

A view

I have spent the past eight years working on the intranets and public websites and password-protected portals of four British government departments and agencies.

I have attended countless meetings, seminars and conferences about website design, data management and security, about government usage of social media, about how to convey messages or get users hooked on your website, and so on.

In fact I myself ran a 6-month programme of weekly seminars for the content team of a big government website on subjects like how to use Facebook and the rest of social media to transmit government messages, how to gather data about users, analyse and convey messages better, etc.

And for two years I was a data analyst on the password-protected portal of a major UK government portal, doing elaborate number crunching, producing infographics for all sorts of data, and merrily ‘repositioning’ the numbers to support the ‘official narrative’ put out by our department.

So I have a reasonable grasp of digital issues and I have, from the start, been extremely sceptical about the internet, about social media, and especially about mobile phone technology.

I refuse to own a smartphone because I a) don’t want to become addicted b) I want to relate to the world around me instead of staring at a tiny screen all the time c) I don’t want to be bugged, surveilled, followed and have all my personal data harvested.

All in all, I am confident that I understand the world these artists are portraying and that I understand a lot of the issues they’re addressing. I have grappled in person with some of them, as part of my job.

But I found it hard to get very worked up about any of the actual art on show and went away wondering why.

I think it’s something to do with accessibility. Web accessibility is a subject I’ve worked with personally, trying to present government information more clearly, both visually and textually. Even the dimmest of users must be able to read the text and use the transactions on a government website.

Whereas hardly any of the works on display here seemed very accessible. None of them leapt straight out ans made me think, ‘Yes, that’s the issue, that’s what we need to be saying / exploring / addressing’.

Instead I found it ironic that in the supposed Age of the Image, all of these works and installations required such a lot of text to get their point across.

There were quite a few younger visitors in evidence (unlike most of the ‘traditional’ art exhibitions I visit, which are dominated by old age pensioners).

Maybe this is art for a younger generation than me, accustomed to swiping screens, skimming information, cherry picking text. Maybe a lot of these issues and ideas will be new to them, or they are so accustomed to smartphones and apps and processing information, that the works will leap out and say something meaningful to them.

My over-riding sense of the Digital Age we live in is that most people, by now, know that Amazon, Facebook, twitter, and their phone providers are morally compromised, tax-evading, High Street-destroying, personal-information-harvesting creepy multinational companies, but…

It’s just so handy being able to order something from Amazon Prime, or send messages to your Facebook group, or share photos of your party on Instagram…

And none of the revelations about how smartphones track your movements and your conversations seem to have made the slightest dent in smartphone ownership or usage.

My sense is that most people just don’t care what iniquities these companies carry out, as long as their stuff turns up next day and they can share their photos for free.

It was a brave effort to put on an exhibition like this. I didn’t really like the works on show. Maybe others will.

Participating artists

  • Mari Bastashevski
  • Constant Dullaart
  • IOCOSE
  • Stephanie Kneissl & Max Lackner
  • Eva & Franco Mattes
  • Silvio Lorusso & Sebastian Schmieg
  • Winnie Soon
  • Emilio Vavarella
  • Stéphane Degoutin & Gwenola Wagon
  • Andrew Norman Wilson
  • Miao Ying

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