# 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

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.

# The Man in the High Castle by Philip K. Dick (1962)

I am a mask, concealing the real. Behind me, hidden, actuality goes on, safe from prying eyes. (Mr Tagomi, p.227)

### An alternative history

The Man in the High Castle is set in 1962 in an America which lost the Second World War. Through the everyday lives and worries of a bunch of characters in San Francisco, and a couple in Colorado, Dick slowly drip feeds to the reader the story of how this alternative history came about.

Most alternative history have a ‘point of divergence’, the point where the fictional alternative branches off from actual history. Here it is the attempt of Italian immigrant Giuseppe ‘Joe’ Zangara who, on 15 February 1933, to assassinate President Elect Franklin D. Roosevelt. In actual history Zangara got off five shots but missed the President; in Dick’s alternative version, Zangara shoots Roosevelt dead.

In ‘our’ history Roosevelt went on to mastermind the New Deal which helped pull America out of the Great Depression and ensured she was ready to wage war in Europe and the Pacific after the Japanese attacked Pearl Harbour in December 1941. America’s economic and military might were decisive in beating both the Nazis and the Japanese Empire.

In Dick’s alternative universe, no Roosevelt, no New Deal, America was unprepared for war and so a) the Japanese successfully destroyed the U.S. Navy at Pearl Harbour, going on to seize the Philippines, Australia, Hawaii, and then the West Coast of America, leading up to Capitulation Day in 1947.

Meanwhile, Dick’s alternative history of the war in Europe has the Nazis seizing Malta forcing Churchill to resign (p.70). His successors are all non-entities who fail to rally Britain while the Germans a) decisively conquer North Africa before b) turning east to defeat Russia, pushing the surviving Russians far back into Asia and then c) sending a fleet across the Atlantic which conquers the Eastern United States. Due to their slow start, the Americans never develop the atom bomb, the Germans get there first and nuke Washington DC. Now the Germans run a unified Europe under German rule, Festung Europa.

As the novel opens the Japanese are smoothly administering what is now known as the P.S.A. or Pacific States of America, main city San Francisco where most of the action is set. Their rule is mostly benign, if very hierarchical based on race, so that everyone has a ‘place’, above or below everyone else: Japs at the top, Caucasians next, Mediterranean Europeans next, blacks at the bottom.

They rule with relative freedom and civilisation compared to the Eastern Seaboard, where the Nazis have implemented their anti-Jewish policies, which they have also extended into Central and Southern America. The Military Governor of the Eastern states was for a while Erwin Rommel, the victor in North Africa. It was only when he was replaced in 1949 that the full implementation of the race laws and the concentration camps kicked in.

We learn that Hitler is now a disease-raddled recluse and has been succeeded as Führer by Martin Bormann, with much gossip about the other Nazi leaders, Goebbels, Göring and so on.

One character admires the Germans’ technical know-how, exemplified by the way they have sealed and drained the Mediterranean (!), giving them a vast new area to colonise. But several characters are less keen about their attempts to solve ‘the African Problem’, which appears to have consisted in exterminating the entire black population. A high level Japanese briefing states that the Germans’ genocidal policies in Eastern Europe, and Africa, have been an economic catastrophe.

There are some readers for whom just the outlines of alternative histories are thrilling, and I have to admit that I’m one of them. It’s fairly standard procedure, but I’m still a sucker for the way the facts which I’ve summarised above, emerge in the narrative only through hints and casual references in the dialogue or thoughts of the characters. This makes the glimpses and hints of what has happened in this alternative view of world history all the more tantalising and intriguing.

### The plot

So that’s the dramatic and large-scale historical background against which Dick sets his handful of more or less humdrum characters, and shares their private worries and concerns.

Robert Childan runs American Artistic Handicrafts Inc, a successful business selling senior Japanese officials authentic Americana and antiques, from Mickey Mouse watches to handguns from the Wild West. He is trying to pull off a deal with a Mr Tagomi and goes with great trepidation to his office in the Nippon Times Building. Childan has completely assimilated the Japanese idea of ‘place’, the notion that everyone knows their place in hierarchical Japanese culture. So Childan is alert to keeping the black porters in their place, trying to gain favour and place by bowing and scraping to the Japanese and so on. This assimilation of Japanese values even extends to thinking in a highly fragmented, truncated, Japanese prose style.

An appointment was made for two o’clock. Have to shut store, he knew as he hung up the phone. No choice. Have to keep goodwill of such customers; business depends on them. (p.10)

Not only Childan’s but numerous other characters think and even speak in the same truncated style. It is a bit weird but gives a verbal coherence to the book which really distinguishes it and which I enjoyed.

He held the squiggle of silver. Reflection of the midday sun, like boxtop cereal trinket, sent-away acquired Jack Armstrong magnifying mirror. Or – he gazed down into it. Om, as Brahmins say. Shrunk spot in which all is captured. Both, at least in hint. The size, the shape. He continued to inspect dutifully. (p.219)

Frank Frink is a Jew whose tour of duty in the army got him out of the East, now controlled by the Nazis. He’s been working at a factory run by a Mr Wyndam-Matson but has just been fired for speaking out of turn. But a colleague, Ed McCarthy, suggests they go into business together, manufacturing fake ‘antique’ guns. They blackmail Wyndam-Matson, threatening to expose the fact that he is himself manufacturing fake antiquities as a side activity to his ostensible metal working factory, unless he gives them \$2,000. He coughs up, and the pair set up a workshop in a ramshackle basement and start producing a new style, of contemporary jewelry designs, calling the company Edfrank Productions.

Wyndam-Matson has a mistress or girlfriend who irritates him, especially when she decides to tell him at length about the novel she’s reading, The Grasshopper Lies Heavy. It is an alternative history whose author, H. Abendsen, speculates about what might have happened if Roosevelt hadn’t been assassinated, but had brought America out of the Depression and pursued aggressive anti-Nazi policies, such that America and Britain had won the Second World War. Nonsense, Wyndam-Matson snorts.

Frank Frink’s ex-wife Juliana Frink left him some while ago, and now scrapes a living as a judo teacher in the Mountain Zone between the occupied West and East coasts. We are introduced to her as she handles two lippy lorry drivers at a truck stop café. She takes one, an Italian, home to bed. Next morning she discovers he fought for the Italian army during the war and Dick uses the Italian’s wartime experiences to gives us more alternative war history, specifically about the campaign in North Africa. They both agree about how fanatical the British became as it became clear the Allies were going to lose, and about the brutality of their use of phosphorus bombs and napalm once the Germans were advancing across England.

More to the point, this guy, Joe Cinnadella, is also reading The Grasshopper Lies Heavy, and at points in their day Juliana picks it up and reads sections which lead to further comments on whether the right side won the wear, and why. Juliana happens to know that the author of the book, Abendsen, lives in the Rocky Mountain states, somewhere in Colorado, in a heavily fortified encampment which he fancifully calls The High Castle.

The Mr Tagomi that Robert Childan is so anxious to suck up to and sell a good quality piece of Americana to, himself only wants to buy it in order to give it as a gift to, and impress, a visitor from Europe, Mr Baynes. We watch Baynes fly across the Atlantic in one of the new atomic-powered airliners, and wind up a German he gets into conversation with and who turns out to be an unrepentant anti-semitic Nazi.

As the plot proceeds we learn that Baynes is not Swedish, as he pretends to be. His name is Rudolf Wegener, he is a member of the German Abwehr, and he has been sent by a faction of the German Partei to make contact with a retired 80-year-old Japanese general, General Tedeki, former Imperial Chief of Staff, here in San Francisco. Lots of heavy hints are dropped but it’s only at page 190 of this 250-page novel that we find out why.

In the office of Mr Tagomi, Baynes/Wegener reveals to General Tedeki that the German Wehrmacht are planning to create an ‘incident’ in the neutral zone of America, which will lead German forces to intervene, and which will be carefully arranged to draw the Japanese in, escalating diplomatic tension and then – the Wehrmacht are planning a sudden nuclear attack on the Japanese Home Island which will wipe them out. This top secret plan is named Operation Dandelion.

Barely has Wegener handed over a cigarette case full of microfilms proving his assertions when Mr Tagomi’s secretary rings up to announce that a number of Nazi goons are in the lobby throwing their weight around and demanding to be let up to Tagomi’s office. They have come to arrest Wegener. He gave himself away when he made contact with an Abwehr agent in a department store, who was being watched by the Nazi Sicherheitsdienst or SS.

To grasp this plotline it helps to understand that right from the start the Nazi state was divided into mutually loathing sections or departments, which competed and jostled with each other. The Wehrmacht is the army, the Abwehr which Wegener works for is the intelligence service, and the SS is staffed by psychopaths and sadists.

• Dick has extrapolated the historical tensions which we know about from the history books, on for another 17 years after the end of the war, an intellectually interesting exercise
• and dramatised these tensions, so that
• we are witness to the contrasting attitudes of different Nazi officials, often deeply distrustful of each other
• and, a t a higher level, as it were, we frequently overhear Japanese and American characters expressing their contempt for the endless internecine feuding of the unstable Nazi regime

This is where Freiherr Hugo Reiss, the Reichs Consul in San Francisco, comes in. He cordially dislikes his opposite number in the SS, Kreuz vom Meere, an officious thug. It is vom Meere who is overseeing the trailing and entrapment of Wegener. When he asks for co-operation, Reiss is inclined to delay and obfuscate. Until, that is, he receives a direct personal call from the new Head of the Partei, Kanzler Josef Goebbels. Who orders him to give full co-operation to the SS in the case of Wegener. Jawohl, mein Führer. He puts the phone down, shaking, while vom Meere watches with a brutal smile on his face.

This is the background to the armed goons who come to Mr Tagomi’s office to arrest him. However, they hadn’t bargained with Japanese pride, and in particular with Mr Tagomi’s fondness for authentic American antiques. Now that strand of the plot, which had been introduced right back at the start in Robert Childan’s antiques emporium, comes into play. Mr Tagomi takes an authentic Wild West Colt .44 out of his desk and points it at the door, with the evident approval of General Tedeki. When the SS men smash the door open and saunter towards Wegener, Tagomi shoots them both down. There will be consequences, but this is Japanese territory, so what precisely they will be…

Meanwhile, the scenes with Juliana Frink and her Italian lover, Joe Cinnadella, move on in counterpoint to the San Francisco scenes. First he accidentally on purpose misses the truck he was meant to be part-driving, which leaves without him. Then he suggests they drive to the nearest city, Denver, so he can show his new girl a good time. It’s on the way, in the car (her car), while he’s driving, that Juliana insists on reading out long excerpts from The Grasshopper Lies Heavy, which leads to them discussing the national characteristics of the Italians, Germans, Russians, Americans and Japanese. In fact, suddenly and spontaneously she suggests that they drive on the hundred miles or so to the author’s supposed ‘castle’ redoubt up in the hills. Sure, says Joe, after we’ve had a good time in Denver.

But in Denver things turn bad. Joe has a haircut which reduces his hair to a close crop, and has it dyed blonde. He takes Juliana shopping but in a focused mechanical way. He makes sure she buys a low-cut blue dress and half-cup bra. They check into a swanky hotel and she is looking forward to a night on the town, when Joe brutally announces that they are going to dine early, then leave for the High Castle.

Finally, it dawns on Juliana that Joe is not Italian at all. He had been wearing a black hairpiece. He didn’t have a haircut, he simply removed the wig to reveal his blonde Aryan haircut. He is a German agent. He has been sent with a wad of cash to do whatever it takes to assassinate the author of the anti-German novel, The Grasshopper Lies Heavy. ‘So why do you need me?’ Juliana whines pitifully. Because this Abendsen guy has a fondness for sexy black-haired Mediterranean types. Like Juliana. Hence the low cut dress. They’ll get invited in. Abendsen will be attracted to Juliana, while Joe does his dirty work.

Back in San Francisco, someone has reported that Frank is a Jew. He’s having a smoke on the sidewalk outside their workshop when white cops arrest him, take him downtown, confirm that he’s a Jew, and tell him he’s going to be shipped out to the Nazi East Coast.

Probably the biggest event – the one which unifies all the characters in speculating about it – is the death of Martin Bormann, the current Führer. Characters speculate on who will succeed him, with Mr Tagomi’s superiors holding an interesting briefing at which an official runs through the possible successors – including Goring, Heydrich, Goebbels and so on- giving fictitious biographies for what they’ve been doing since the war ended in 1947. For those of us who like actual history, alternative histories like this are always interesting because of the way they shed fresh light and different perspectives on what actually happened.

So:

• will Wegener and Tedeki escape alive from Mr Tagomi’s office?
• will Tedeki manage to get the message about Operation Dandelion back to his superiors in time for them to approach the relevant sections of the German state in order to get Operation Dandelion called off?
• will Frank Frink be deported back to the east Coast and gassed by the Nazis?
• and will Juliana and Joe find the High Castle of this Abendsen guy, manage to get admission, and murder him?

In fact, what happens is several of the characters have nervous breakdowns. In response to being told she is being so comprehensively used as cover in an assassination attempt Juliana has a florid breakdown, asking for pills, delirious, getting into the shower fully dressed, stabbing Joe in the neck with a razor blade and wandering down the hotel corridor stark naked, until hustled back to her room by a maid.

Similarly, Mr Tagomi, the day after the unpleasantness in his office, wanders the streets of San Francisco in a daze, fetching up at Robert Childan’s emporium, who rather forcefully sells him one of the new piece of jewelry, which Tagomi takes to a park bench and tries to get to reveal its secrets, shaking it, threatening it, shouting at it, begging it to open the door of the meaning of life.

All the way through the book Robert Childan is on the edge of sweaty-palmed panic. And he only needs to be reminded that he’s a Jew for Frank Frink to fall into a funk of fear, justifiably so, as it turns out.

This is the ground bass of Dick’s fiction. Characters live with gnawing anxiety which sooner or later blooms into goes madness, nervous breakdown, hallucinations. His texts deal you plots and characters but, like an alcoholic sizing up every room for its stash of booze, is constantly manoeuvring the reader to a place where he can let rip with pages of delirious, drug-fuelled, nervous breakdown prose, delirium, bewilderment, hallucinations, confusion, hysteria.

I wish I understood, he said to himself as he moved along the busy evening sidewalk, by the neon signs, the blaring bar doorways of Grant Avenue. I want to comprehend. I have to. But he knew he never would. Just be glad, he thought. And keep moving. (p.232)

### Ideas and issues

All the characters are considerably more self-aware, given to long intense internal monologues or to lengthy thoughtful conversations, than most people I’ve met in my life. Much of their thoughts and dialogue is devoted to ideas. They are all much more interested in history than most people I’ve ever met, which is fortunate for it allows Dick, through their conversations, to pass along all kinds of backstory information about the course of events of the previous 15 years or so.

It is a very self-aware book. Dick makes it clear to us he knows what he’s doing, and his lead characters are also painfully self-aware at almost all moments.

#### Is alternative history a type of science fiction?

Being the very self-aware novelist that he is, Dick has two of his characters debate this very question. When he is invited to dinner with Paul and Betty Kasouras, the trio end up discussing The Grasshopper Lies Heavy (in the clipped verbless style which dominates so much of the text):

‘Not a mystery,’ Paul said. ‘On contrary, interesting form of fiction possible within the genre of science fiction.’
‘Oh no,’ Betty disagreed. ‘No science in it. Not set in future. Science fiction deals with future., in particular future where science has advanced over now. Book fits neither premise.’
‘But,’ said Paul, ‘it deals with alternate present. Many well-known science fiction novels of that sort.’ (p.109)

There’s plenty of alternative history fiction in the world.

Whether some, all, or any of it qualifies as science fiction is a topic for a different essay.

#### Alternative histories within the story

Given that the main story is set in an alternative universe, and that half the characters in it are reading a book which gives a further alternative history, the novel thus contains or navigates no fewer than three realities:

1. ‘real’ history – the one we’re living through
2. the alternative history of the novel
3. the alternative alternative history described at some length by H. Abendsen

These three realities curl and intertwine throughout the text, a little like a piece of classical music, with its main theme, secondary theme, and variations on both, reappearing throughout like silver threads. Or, alternatively, like the person standing between two parallel mirrors who sees their reflections stretching into infinity in both directions.

Secrets and lies are a central theme. Or truth and falsehood. Or reality and fantasy. At one point Baynes / Wegener reflects:

Perhaps if you know you are insane then you are not insane. or you are becoming sane, finally. Waking up. I suppose only a few are aware of all this. Isolated persons here and there. but the broad masses… what do they think? All these hundreds of thousands in this city. Do they imagine that they live in a sane world? Or do they guess, glimpse, the truth? (p.45)

Which sums up the broad streak of paranoia which runs throughout Dick’s work – that’s if you take his work very seriously. Or, if you are a tad more critical of his troubled worldview – this kind of thing (‘Look at me, see how I suffer, see how special I am!’) could be interpreted as the adolescent sense that I know this is all fake, but what of all the other poor ‘normals’? Immature.

Similarly, Dick and his characters are well aware of the power of fiction to lie and distort. Since almost every character seems to be reading H. Abendsen’s book, quite a few have extended dialogues or thought monologues about the uncanny power of fiction to create its own realities. These could be quoted to form the basis of a disquisition about fiction and fictions but… don’t we already know that? Isn’t that why people buy airport novels, so they can be completely transported on long haul flights or lying by the pool?

If you were an earnest literary type you could work this insight up into a profound discussion of the nature of fiction. Except it is a nature that pretty much everyone who’s ever read a novel is well aware of.

#### Childan and Kasoura, America and Japan

A prolonged thread is Childan’s on-again, off-again business relationship with a potential pair of Japanese clients, high-place Mr and Mrs Kasoura. He offers them a high value gift,in response to which they invite him to dinner, a scene which is a prolonged tour de force, describing with minute subtlety the wavering atmosphere and tone of the inscrutable orientals, as Childan desperately tries to be polite and submissive. His problems reach a kind of climax when he presents Mr Kasoura with an example of Edfrank’s new, modern, contemporary jewelry.

(In a painful earlier scene we had watched Frank Frink’s shambling, lanky partner, Ed, try to sell some of their new jewelry to Childan, and Childan’s deliberate humiliation of the salesman: here, as in every other aspect of his life, Childan is keen to maintain his place.)

In this ten-page scene (pp.168-179) Childan goes to visit Mr Kasoura at his office, to ask how his wife liked the new contemporary piece he had given him. Kasoura brings the piece from his deskdrawer and reveals that he never passed it on to his wife. He showed it tovarious colleagues who alllaughed at it for being a shapeless blob of metal. Childan feels justifiably humiliated. But then, Kasoura continues, he found himself becoming beguiled by it, attracted to its very formlessness and lack of design. After pondering why, he has come to the conclusion that is contains wu. At which Childan racks his brains to try and remember what the hell wu is. Is it even a Japanese quality or something else they’ve ripped off from the Chinese?

But, Kasoura continues, when he tried to explain this quality to his superiors, they still dismissed it but came up with a suggestion. The general population of South America is still mostly peasant, and they like good luck charms. One of Kasoura’s superiors has contacts with a man who manufactures and ships trinkets to South America by the tens of thousands. This piece might be a model for a new line of good luck charms and trinkets?

Dick is very careful to have Kasoura explain all this as if he himself is aloof and above mere business considerations. Childan, struggling to keep an absolute straight face throughout, suddenly realises he is being humiliated. Doubly humiliated. Not only did Kasoura start the conversation by saying the piece was junk. But then, having withdrawn that a little with the introduction of the concept of wu, has travelled all the way round to a new level of humilation, this time suggesting that not only is the piece junk, but that it would be appropriate for Childan to take part in an enterprise to mass produce and sell junk.

Childan is flooded with mortification and humiliation and begins to make his departure, promising to take up the contact Mr Kasoura has suggested. Does he read contempt in Kasoura’s eyes? Or professional satisfaction? Or lofty disdain for the whole business?

Suddenly his soul revolts at the endless kow-towing and abasement he has to go through and Childan decides to stand up for his country, its artists and manufactures. Abruptly he changes stance and demands an apology from Mr Kasoura. There is a very long silence as both men stand stock still. Then, very slowly, Mr Kasoura apologises. They shake hands. What expression is in his eyes? Even now, Childan doesn’t know. He leaves Kasoura’s office with a shattering sense that he has no idea what just happened. Did he just throw away the business opportunity of his life? Or did he just proudly stand up for American craftsmanship? Was he tricked into making a foolish decision? Or has he just shown a Jap what spine and character mean? Does Mr Kasoura now respect him? Or despise him even more?

I thought this was a really brilliantly calibrated scene, and more than some of the more obviously thriller-ish moments, really drove home Dick’s central theme of anxiety and disorientation.

#### The I Ching

Several characters – Frank Frink and Mr Tagomi and Juliana – use the I Ching methodology to make decisions, and Dick explains it at some length – the sorting of the forty-nine yarrow sticks whose shape or number indicates a hexagram, which then has to be looked up in The Book of Changes, which then gives a very oblique analysis of your current situation, and obscure advice on what to do next.

I found this whole theme of the book pretty boring, except insofar as it dramatised the intense anxiety of several of the key characters (Childan, Tagomi). They might as well have been examining the innards of chickens or reading patterns in tea leaves or consulting the stars.

Obviously its inclusion adds to the Japanese and generally oriental flavour of much of the prose and subject matter. More interesting, for me, was the several conversations the antique salesman Robert Childan has with Japanese customers. In these Dick very effectively dramatises the vast gap between Anglo-Saxon common sense and the ultra-fastidious and refined tastes and manners of the Japanese.

Finally, Juliana arrives at the Abendsen house which she finds is a perfectly normal suburban stucco-fronted place, with a little drinks party going on. She confronts Abendsen and in particular accuses him of using the I Ching throughout. Eventually he confesses that at every point, the choice of subject matter, characters, plots and development he consulted the oracle extensively.

Juliana then insists on asking for Abendsen’s I Ching equipment and asks the oracle whether The Grasshopper Lies Heavy is true. The oracle says it is.

think what this means is Juliana, Abendsen and his wife all realise that the oracle is communicating to them from an alternative universe, from our universe – and that it has told them what really happened. In other words, the characters know that they are in an alternative, and secondary universe.

What’s odd, in the book, is how calmly everyone takes this, this interpenetration of realities. Juliana walks back to her car and the Abendsens get on with their drinks party, so calmly that I wondered if I’d completely misunderstood the ending.

### Other fictional alternative histories

• The Alteration by Kingsley Amis (1976) – a brilliantly imagined alternative reality in which the Reformation never happened and England is part of the ongoing Catholic Hegemony over all Europe
• SSGB by Len Deighton (1978) – the Germans conquered England in 1940 and now, amid the ruins of London, Scotland Yard detective Douglas Archer tries to solve a murder which leads him to a massive conspiracy
• Russian Hide and Seek by Kingsley Amis (1980) – in an England of the future which has been invaded and conquered by the Russians, a hopeless attempt to overthrow the occupiers is easily crushed
• Fatherland by Robert Harris (1992) – it is 1964, Nazi Germany won the Second World War, and in Berlin detective Xavier March investigates a murder which leads him to uncover the horrific fact at the heart of the German Empire

### Other science fiction reviews

1888 Looking Backward 2000-1887 by Edward Bellamy – Julian West wakes up in the year 2000 to discover a peaceful revolution has ushered in a society of state planning, equality and contentment
1890 News from Nowhere by William Morris – waking from a long sleep, William Guest is shown round a London transformed into villages of contented craftsmen

1895 The Time Machine by H.G. Wells – the unnamed inventor and time traveller tells his dinner party guests the story of his adventure among the Eloi and the Morlocks in the year 802,701
1896 The Island of Doctor Moreau by H.G. Wells – Edward Prendick is stranded on a remote island where he discovers the ‘owner’, Dr Gustave Moreau, is experimentally creating human-animal hybrids
1897 The Invisible Man by H.G. Wells – an embittered young scientist, Griffin, makes himself invisible, starting with comic capers in a Sussex village, and ending with demented murders
1898 The War of the Worlds – the Martians invade earth
1899 When The Sleeper Wakes/The Sleeper Wakes by H.G. Wells – Graham awakes in the year 2100 to find himself at the centre of a revolution to overthrow the repressive society of the future
1899 A Story of the Days To Come by H.G. Wells – set in the same future London as The Sleeper Wakes, Denton and Elizabeth fall in love, then descend into poverty, and experience life as serfs in the Underground city run by the sinister Labour Corps

1901 The First Men in the Moon by H.G. Wells – Mr Bedford and Mr Cavor use the invention of ‘Cavorite’ to fly to the moon and discover the underground civilisation of the Selenites
1904 The Food of the Gods and How It Came to Earth by H.G. Wells – scientists invent a compound which makes plants, animals and humans grow to giant size, leading the human giants to rebel against the ‘little people’
1905 With the Night Mail by Rudyard Kipling – it is 2000 and the narrator accompanies a GPO airship across the Atlantic
1906 In the Days of the Comet by H.G. Wells – a passing comet trails gasses through earth’s atmosphere which bring about ‘the Great Change’, inaugurating an era of wisdom and fairness, as told by narrator Willie Leadford
1908 The War in the Air by H.G. Wells – Bert Smallways, a bicycle-repairman from Kent, gets caught up in the outbreak of the war in the air which brings Western civilisation to an end
1909 The Machine Stops by E.M. Foster – people of the future live in underground cells regulated by ‘the Machine’ until one of them rebels

1912 The Lost World by Sir Arthur Conan Doyle – Professor Challenger leads an expedition to a plateau in the Amazon rainforest where prehistoric animals still exist
1912 As Easy as ABC by Rudyard Kipling – set in 2065 in a world characterised by isolation and privacy, forces from the ABC are sent to suppress an outbreak of ‘crowdism’
1913 The Horror of the Heights by Arthur Conan Doyle – airman Captain Joyce-Armstrong flies higher than anyone before him and discovers the upper atmosphere is inhabited by vast jellyfish-like monsters
1914 The World Set Free by H.G. Wells – A history of the future in which the devastation of an atomic war leads to the creation of a World Government, told via a number of characters who are central to the change
1918 The Land That Time Forgot by Edgar Rice Burroughs – a trilogy of pulp novellas in which all-American heroes battle ape-men and dinosaurs on a lost island in the Antarctic

1921 We by Evgeny Zamyatin – like everyone else in the dystopian future of OneState, D-503 lives life according to the Table of Hours, until I-330 wakens him to the truth
1925 Heart of a Dog by Mikhail Bulgakov – a Moscow scientist transplants the testicles and pituitary gland of a dead tramp into the body of a stray dog, with disastrous consequences
1927 The Maracot Deep by Arthur Conan Doyle – a scientist, engineer and a hero are trying out a new bathysphere when the wire snaps and they hurtle to the bottom of the sea, there to discover…

1930 Last and First Men by Olaf Stapledon – mind-boggling ‘history’ of the future of mankind over the next two billion years
1938 Out of the Silent Planet by C.S. Lewis – baddies Devine and Weston kidnap Ransom and take him in their spherical spaceship to Malacandra aka Mars,

1943 Perelandra (Voyage to Venus) by C.S. Lewis – Ransom is sent to Perelandra aka Venus, to prevent a second temptation by the Devil and the fall of the planet’s new young inhabitants
1945 That Hideous Strength: A Modern Fairy-Tale for Grown-ups by C.S. Lewis– Ransom assembles a motley crew to combat the rise of an evil corporation which is seeking to overthrow mankind
1949 Nineteen Eighty-Four by George Orwell – after a nuclear war, inhabitants of ruined London are divided into the sheep-like ‘proles’ and members of the Party who are kept under unremitting surveillance

1950 I, Robot by Isaac Asimov – nine short stories about ‘positronic’ robots, which chart their rise from dumb playmates to controllers of humanity’s destiny
1950 The Martian Chronicles – 13 short stories with 13 linking passages loosely describing mankind’s colonisation of Mars, featuring strange, dreamlike encounters with Martians
1951 Foundation by Isaac Asimov – the first five stories telling the rise of the Foundation created by psychohistorian Hari Seldon to preserve civilisation during the collapse of the Galactic Empire
1951 The Illustrated Man – eighteen short stories which use the future, Mars and Venus as settings for what are essentially earth-bound tales of fantasy and horror
1952 Foundation and Empire by Isaac Asimov – two long stories which continue the future history of the Foundation set up by psychohistorian Hari Seldon as it faces down attack by an Imperial general, and then the menace of the mysterious mutant known only as ‘the Mule’
1953 Second Foundation by Isaac Asimov – concluding part of the ‘trilogy’ describing the attempt to preserve civilisation after the collapse of the Galactic Empire
1953 Earthman, Come Home by James Blish – the adventures of New York City, a self-contained space city which wanders the galaxy 2,000 years hence powered by spindizzy technology
1953 Fahrenheit 451 by Ray Bradbury – a masterpiece, a terrifying anticipation of a future when books are banned and professional firemen are paid to track down stashes of forbidden books and burn them
1953 Childhood’s End by Arthur C. Clarke – a thrilling tale of the Overlords who arrive from space to supervise mankind’s transition to the next stage in its evolution
1954 The Caves of Steel by Isaac Asimov – set 3,000 years in the future when humans have separated into ‘Spacers’ who have colonised 50 other planets, and the overpopulated earth whose inhabitants live in enclosed cities or ‘caves of steel’, and introducing detective Elijah Baley to solve a murder mystery
1956 The Naked Sun by Isaac Asimov – 3,000 years in the future detective Elijah Baley returns, with his robot sidekick, R. Daneel Olivaw, to solve a murder mystery on the remote planet of Solaria
1956 They Shall Have Stars by James Blish – explains the invention – in the near future – of the anti-death drugs and the spindizzy technology which allow the human race to colonise the galaxy
1959 The Triumph of Time by James Blish – concluding story of Blish’s Okie tetralogy in which Amalfi and his friends are present at the end of the universe

1961 A Fall of Moondust by Arthur C. Clarke – a pleasure tourbus on the moon is sucked down into a sink of quicksand-like moondust, sparking a race against time to rescue the trapped crew and passengers
1962 A Life For The Stars by James Blish – third in the Okie series about cities which can fly through space, focusing on the coming of age of kidnapped earther, young Crispin DeFord, aboard New York
1968 2001: A Space Odyssey by Arthur C. Clarke – panoramic narrative which starts with aliens stimulating evolution among the first ape-men and ends with a spaceman transformed into galactic consciousness

1971 Mutant 59: The Plastic Eater by Kit Pedler and Gerry Davis – a genetically engineered bacterium starts eating the world’s plastic
1973 Rendezvous With Rama by Arthur C. Clarke – in 2031 a 50-kilometre long object of alien origin enters the solar system, so the crew of the spaceship Endeavour are sent to explore it

1981 The Golden Age of Science Fiction edited by Kingsley Amis – 17 classic sci-fi stories from what Amis considers the Golden Era of the genre, namely the 1950s