Its legendary
hardness
abrades the toughest materials.
Richard-Dawkins-The-Devil-s-Chaplain
SCIENCE AND SENSIBILITY
a true clone of a baby, the dinner would never have gone ahead, especially at the height of the Dolly-inspired cloning controversy. You cannot have it both ways.
I want to conclude with a rather idiosyncratic approach to the matter of science and ethics: ethical treatment of scientific truth itself. I want to suggest that objective truth sometimes needs the same kind of protection as the libel laws now give to individuals. Or at least to suggest that the Trades Descriptions Act might be more imaginatively invoked. I'll say a little about this first, in the light of Prince Charles's recent plea for public money to do research into 'alternative medicine'.
If a pharmaceutical company advertises its pills as curing headaches, it must be able to demonstrate, in double-blind controlled trials, that its pills do indeed cure headaches. Double-blind means, of course, that neither the patients, nor the testers, know until afterwards which patients received the dose, and which the placebo control. If the pills cannot pass this test - if numerous strenuous efforts fail to distinguish them from a neutral placebo - I presume the company might be in danger of prosecution under the Trades Descriptions Act.
Homeopathic remedies are big business, they are advertised as efficacious in various ways, yet they have never been demonstrated to have any effect at all. Personal testimony is ubiquitous, but it is useless evidence because of the notorious power of the placebo effect. This is exactly why 'orthodox' medicines are obliged to prove themselves in double-blind trials. *
I do not want to imply that all so-called 'alternative medicines' are as useless as homeopathy. For all I know, some of them may work. But they must be demonstrated to work, by double-blind placebo-control trials or some equivalent experimental design. And if they pass that test, there is then no longer any reason to call them 'alternative'. Mainstream medicine would simply adopt them. As the distinguished journalist John Diamond wrote movingly (like many patients dying of cancer, he had false hopes cruelly raised by a succession of plausible quacks) in The Independent recently:
There is really no such thing as alternative medicine, just medicine that works and medicine that doesn't. . . There isn't an 'alternative' physiology or anatomy or nervous system any more than there's an alternative map of London which lets you get to Battersea from Chelsea without crossing the Thames.
? Homeopathy has special problems with double-blind control testing. I discuss this in my Foreword to John Diamond's Snake Oil (see pp. 181-4).
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? But I began this final section in more radical terms. I wanted to extend the concept of libel to include lies that may not damage particular people but damage truth itself. Some twenty years ago, long before Dolly showed it was plausible, a book was published claiming, in great detail, that a rich man in South America had had himself cloned, by a scientist code-named Darwin. As a work of science fiction it would have been unexceptionable, but it was sold as sober fact. The author and publishers were sued, by Dr Derek Bromhall, who claimed that his reputation as a scientist was damaged by his being quoted in the book. My point is that whatever damage may or may not have been done to Dr Bromhall, far more important was the damage done to scientific truth itself.
That book has faded from memory and I bring it up only as an example. Obviously I want to generalize the principle to all deliberate falsifications, misrepresentations, of scientific truth. Why should a Derek Bromhall have to prove himself personally damaged, before we can prosecute a book which wantonly publishes lies about the universe? As will be obvious I'm no lawyer but, if I was, rather than constantly feel the need to drag things down to the question of whether particular humans have been damaged, I think I would like to stand up and defend truth itself. No doubt I shall be told - and convinced - that a court of law is not the right place for this. But in the wider world, if I am asked for a single phrase to characterize my role as Professor of Public Understanding of Science, I think I would choose Advocate for Disinterested Truth.
SCIENCE, GENETICS A N D ETHICS
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? /
1. 5 Trial By Jury
Trial by jury must be one of the most conspicuously bad good ideas anyone ever had. Its devisers can hardly be blamed. They lived before the principles of statistical sampling and experimental design had been worked out. They weren't scientists. Let me explain using an analogy. And if, at the end, somebody objects to my argument on the grounds that humans aren't herring gulls, I'll have failed to get my point across.
Adult herring gulls have a bright yellow bill with a conspicuous red spot near the tip. Their babies peck at the red spot, which induces the parents to regurgitate food for them. Niko Tinbergen, Nobel Prize- winning zoologist and my old maestro at Oxford, offered naive young chicks a range of cardboard dummy gull heads varying in bill and spot colour, and shape. For each colour, shape or combination, Tinbergen measured the preferences of the baby chicks by counting their pecks in a standard time. The idea was to discover whether naive gull chicks are born with a built-in preference for long yellow things with red spots. If so, this would suggest that genes equip the young birds with detailed prior knowledge of the world in which they are about to hatch - a world in which food comes out of adult herring gull beaks.
Never mind the reason for the research, and never mind the con- clusions. Consider, instead, the methods you must use, and the pitfalls you must avoid, if you want to get a correct result in any such experiment. These turn out to be general principles which apply to human juries as strongly as to gull chicks.
First, you obviously must test more than one chick. It could be that some chicks are red-biased, others blue-biased, with no tendency for herring gull chicks in general to share the same favourite colour. So, by picking out a single chick, you are measuring nothing more than individual bias.
So, we must test more than one chick. How many? Is two enough? No, nor is three, and now we must start to think statistically. To make
38
? it simple, suppose that in a particular experiment we are comparing only red spots versus blue spots, both on a yellow background, and always presented simultaneously. If we test just two chicks separately, suppose the first chick chooses red. It had a 50 per cent chance of doing so, at random. Now the second chick also happens to choose red. Again, the odds were 50 per cent that it would do so at random, even if it were colourblind. There's a 50 per cent chance that two randomly choosing chicks will agree (half of the four possibilities: red red, red blue, blue red, blue blue). Three chicks aren't enough either. If you write down all the possibilities, you'll find that there's a 25 per cent chance of a unanimous verdict, by luck alone. Twenty-five per cent, as the odds of reaching a conclusion for the wrong reason, is unacceptably large.
How about twelve good chicks and true? Now you're talking. If twelve chicks are independently offered a choice between two alternatives, the odds that they will all reach the same verdict by chance alone are satisfyingly low, only one in 2048.
But now suppose that, instead of testing our twelve chicks indepen- dently, we test them as a group. We take a maelstrom of twelve cheeping chicks and lower into their midst a red spotted dummy and a blue spotted dummy, each fitted with an electrical device for auto- matically tallying pecks. And suppose that the collective of chicks registers 532 pecks at red and zero at blue. Does this massive disparity show that those twelve chicks prefer red? Absolutely not. The pecks are not independent data. Chicks could have a strong tendency to imitate one another (as well as imitate themselves in lock-on effects). If one chick just happened to peck at red first, others might copy him and the whole company of chicks join in a frenzy of imitative pecking. As a matter of fact this is precisely what domestic chicken chicks do, and gull chicks are very likely the same. Even if not, the principle remains that the data are not independent and the experiment is therefore invalid. The twelve chicks are strictly equivalent to a single chick, and their summed pecks, however numerous, might as well be only a single peck: they amount to only a single independent result.
Turning to courts of law, why are twelve jurors preferred to a single judge? Not because they are wiser, more knowledgeable or more practised in the arts of reasoning. Certainly not, and with a vengeance. Think of the astronomical damages awarded by juries in footling libel cases. Think how juries bring out the worst in histrionic, gallery-playing lawyers. Twelve jurors are preferred to one judge only because they are more numerous. Letting a single judge decide a verdict would be like letting a single chick speak for the whole herring gull species. Twelve
TRIAL BY JURY
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? SCIENCE AND SENSIBILITY
heads are better than one, because they represent twelve assessments of the evidence.
But for this argument to be valid, the twelve assessments really have to be independent. And of course they are not. Twelve men and women locked in a jury room are like our clutch of twelve gull chicks. Whether they actually imitate each other like chicks, they might. That is enough to invalidate the principle by which a jury might be preferred over a single judge.
In practice, as is well documented and as I remember from the three juries that it has been my misfortune to serve on, juries are massively swayed by one or two vocal individuals. There is also strong pressure to conform to a unanimous verdict, which further undermines the principle of independent data. Increasing the number of jurors doesn't help, or not much (and not at all, in strict principle). What you have to increase is the number of independent verdict-reaching units.
Oddly enough, the bizarre American system of televising trials opens up a real possibility of improving the jury system. By the end of trials such as those of Louise Woodward or O. J. Simpson, literally thousands of people around the country have attended to the evidence as assiduously as the official jury. A mass phone-in might produce a fairer verdict than a jury. But, unfortunately, journalistic discussion, radio talk- shows and ordinary gossip would violate the Principle of Independent Data and we'd be back where we started. The broadcasting of trials, in any case, has horrible consequences. In the wake of Louise Woodward's trial, the Internet seethed with ill-spelled and ungrammatical vicious- ness, the cheque-book journalists were queuing up, and the unfortunate judge presiding had to change his telephone number and employ a bodyguard.
So, how can we improve the system? Should twelve jurors be locked in twelve isolation chambers and their opinions separately polled so that they constitute genuinely independent data? If it is objected that some would be too stupid or inarticulate to reach a verdict on their own, we are left wondering why such individuals are allowed on a jury at all. Perhaps there is something to be said for the collective wisdom that emerges when a group of people thrash out a topic together, round a table. But this still leaves the principle of independent data unsatisfied.
Should all cases be tried by two separate juries? Or three? Or twelve? Too expensive, at least if each jury has twelve members. Two juries of six members, or three juries of four members, would probably be an improvement over the present system. But isn't there some way of
40
? testing the relative merits of such alternative options, or of comparing the merits of trial by jury versus trial by judge?
Yes, there is. I'll call it the Two Verdicts Concordance Test. It is based on the principle that, if a decision is valid, two independent shots at making it should yield the same result. Just for purposes of the test, we run to the expense of having two juries, listening to the same case and forbidden to talk to members of the other jury. At the end, we lock the two juries in two separate jury rooms and see if they reach the same verdict. If they don't, neither verdict has been proved beyond reason- able doubt, and this would cast reasonable doubt on the jury system itself.
To make the experimental comparison with Trial by Judge, we need two experienced judges to listen to the same case, and require them too to reach their separate verdicts without talking to each other. Which- ever system, Trial by Jury or Trial by Judge, yields the higher score of agreements over a number of trials is the better system and might, if its Concordance Score is high, even be accredited for future use with some confidence.
Would you bet on two independent juries reaching the same verdict in the Louise Woodward case? Could you imagine even one other jury reaching the same verdict in the O. J. Simpson case? Two judges, on the other hand, seem to me rather likely to score well on the concordance test. And should I be charged with a serious crime, here's how I want to be tried. If I know myself to be guilty, I'll go with the loose cannon of a jury, the more ignorant, prejudiced and capricious the better. But if I am innocent, and the ideal of multiple independent decision-takers is unavailable, please give me a judge.
TRIAL BY JURY
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? 1. 6 Crystalline Truth and
Crystal Balls21
A celebrated film star 'places four quartz crystal clusters in the four corners of her bathtub every time she takes a bath'. This doubtless has some mystic connection with the following recipe for meditation.
Each of the four quartz crystals in the meditation room should be 'programmed' to project gentle, loving, relaxing, crystalline energy towards all those present within the Meditation group. The quartz crystals will then generate a field of positive crystalline energy surrounding everyone in the room.
Language like this is a con-trick. It sounds 'scientific' enough to bamboozle the innocent. 'Programming' is what you do to computers. The word means nothing when applied to crystals. 'Energy' and 'field' are carefully defined notions in physics. There is no such thing as 'loving' or 'crystalline' energy, whether positive or no. *
New Age lore also advises placing a quartz crystal in your water jug. 'You will soon appreciate the sparkling purity of your crystal water. ' See how the trick works. Somebody with no understanding of the real world could make a kind of 'poetic' association with 'crystal clear' water. But that is no more sensible than trying to read by the light of a ('bright as a') button. Or putting ('hard as') nails under your pillow to assist an erection.
Try the following experiment when you next suffer from 'flu': hold your personal quartz crystal and visualize yellow light radiating through it. Then place your crystal in a jug of water and drink this water the next day; one cup of water at two-hourly intervals. You will be amazed at the result!
Drinking water at two-hourly intervals is a good idea anyway, when you have flu. Putting a quartz crystal in it will have no additional effect. In
*And, by the way, the next time you visit an 'alternative' therapist who claims to be 'balancing your energy fields', challenge them to say what they mean. The answer will be absolutely nothing.
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? CRYSTALLINE TRUTH AND CRYSTAL BALLS
particular, no amount of 'visualizing' of coloured light will change the composition of either the crystal or the water.
Pseudoscientific drivel like this is a disturbingly prominent part of the culture of our age. I have limited my examples to crystals because I had to draw a line somewhere. But 'star signs' would have done just as well. Or 'angels', 'channelling', 'telepathy', 'quantum healing', 'homeopathy', 'map-dowsing'. There is no obvious limit to human gullibility. We are docile credulity-cows, eager victims of quacks and charlatans who milk us and grow fat. There is a rich living to be made by anyone prepared to prostitute the language - and the wonder - of science.
But isn't it all - crystal ball gazing, star signs, birth stones, ley-lines and the rest - just a bit of harmless fun? If people want to believe in garbage like astrology, or crystal healing, why not let them? But it's so sad to think about all that they are missing. There is so much wonder in real science. The universe is mysterious enough to need no help from warlocks, shamans and 'psychic' tricksters. These are at best a soul- sapping distraction. At worst they are dangerous profiteers.
The real world, properly understood in the scientific way, is deeply beautiful and unfailingly interesting. It's worth putting in some honest effort to understand it properly, undistracted by false wonder and prostituted pseudoscience. For illustration, we need look no farther than crystals themselves.
In a crystal such as quartz or diamond the atoms are arranged in a precisely repeating pattern. The atoms in a diamond - all identical carbon atoms - are arrayed like soldiers on parade except that the precision of their dressing far outsmarts the best-drilled guards regiment, and the atomic soldiers outnumber all the people that have ever lived or ever will. Imagine yourself shrunk to become one of the carbon atoms in the heart of a diamond crystal. You are one of the soldiers in a gigantic parade, but it'll seem a little odd because the files are arrayed in three dimensions. Perhaps a prodigious school of fish is a better image.
Each fish in the school is one carbon atom. Think of them hovering in space, keeping their distance from each other and holding their precise angles, by means of forces that you can't see but which scientists fully understand. But if this is a fish school, it is one that - to scale - would fill the Pacific Ocean. In any decent-sized diamond, you are likely to be looking along arrays of atoms numbering hundreds of millions in any one straight line.
Carbon atoms can take up other crystal lattice formations. To revert to the military analogy, they can adopt alternative drill conventions.
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? SCIENCE AND SENSIBILITY
Graphite (the 'lead' in pencils) is also carbon, but it's obviously nothing like diamond. In graphite, the atoms form sheets of hexagons, like chicken wire. Each sheet is loosely bonded to those above and below it, and when impurities are present the sheets slide easily against each other, which is why graphite is a good lubricant. Diamond is very much not a lubricant.
Its legendary hardness abrades the toughest materials. The atoms in soft graphite and hard diamond are identical. If you could persuade the atoms in graphite crystals to adopt the drill rules of diamond crystals, you'd be rich. It can be done, but you need colossal pressures and high temperatures, presumably the conditions that naturally manufacture diamonds, deep in the earth.
If hexagons make a sheet of flat graphite, you can imagine that interspersing some pentagons among the hexagons could make the sheet buckle into a curve. Place exactly 12 pentagons strategically among 20 hexagons and the curve bends round into a complete sphere. Geometers call it a truncated icosahedron. This is exactly the pattern of the sewing seams on a football. The football is, therefore, theoretically a pattern into which carbon atoms might spontaneously fall.
Mirabile dictu, exactly this pattern has been discovered among carbon atoms. The team responsible, including Sir Harry Kroto of Sussex University, won the 1996 Nobel Prize for Chemistry. Called Buckminsterfullerene, it is an elegant sphere of 60 carbon atoms, linked up as 20 hexagons interspersed with 12 pentagons. The name honours the visionary American architect Buckminster Fuller (whom I was privileged to meet when he was a very old man*) and the spheres are affectionately known as buckyballs. They can combine together to make larger crystals. Like graphite sheets, buckyballs make good lubricants, probably because of their spherical shape: they presumably work like tiny ball bearings.
Since the buckyball's discovery, chemists have realized that it is just a special case of a large family of 'buckytubes' and other 'fullerenes'. Carbon atoms can theoretically join up to form an Aladdin's cave of fascinating crystalline forms - another aspect of the unique property that qualifies carbon to be the fundamental element of life.
Not every atom has carbon's talent for joining copies of itself. Other crystals contain more than one kind of 'soldier', alternating in some elegant pattern. In quartz crystals it is silicon and oxygen instead of carbon; in common salt it is electrically charged atoms of sodium and chlorine. Crystals naturally break along lines that betray the underlying
*He was billed to give us a short lecture but, unscripted, he held us spellbound for three hours.
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? CRYSTALLINE TRUTH AND CRYSTAL BALLS
regimental drill pattern. That is why salt crystals are square, why the honeycomb columns of the Giant's Causeway stand as they do, and why diamond crystals are, well, diamond-shaped.
All crystals 'self-assemble' under locally acting rules. Their component 'soldiers', floating in free solution in water, spontaneously plug themselves into 'gaps' on the surface of the existing crystal, where they exactly fit. So a crystal may grow in solution from a tiny 'seed' - perhaps an impurity like the sand grain at the heart of a pearl. There is no grand design of buckyballs, quartz crystals, diamonds or anything else. This principle of self-assembly runs right through living structure, too. DNA itself (the genetic molecule, the molecule at the centre of all life) can be regarded as a long, spiral crystal in which one half of the double helix self-assembles on a template provided by the other. Viruses self-assemble like elaborately complex crystal-clusters. The head of the T4 bacterio- phage (a virus that infects bacteria) actually looks like a single crystal.
Go into any museum and look at the collection of minerals. Even go into a New Age shop and look at the crystals on display, along with all the other apparatus of mumbo-jumbo and kitsch con-trickery. The crystals won't respond to your attempts to 'program' them for meditation, or 'dedicate' them with warm, loving thoughts. They won't cure you of anything, or fill the room with 'inner peace' or 'psychic energy'. But many of them are very beautiful, and it surely only adds to the beauty when we understand that the shapes of the crystals, the angles of their facets, the rainbow colours that flash from inside them, all have a precise explanation which lies deep in the patterns of atomic lattice-work.
Crystals don't vibrate with mystical, loving energy. But they do, in a much stricter and more interesting sense, vibrate. Some crystals have an electric charge across them, which changes when you physically deform the crystal. This 'piezo-electric' effect, discovered in 1880 by the Curie brothers (Marie's husband and his brother), is used in the styluses of record players (the 'deforming' is done by the groove of the turning record) and in some microphones (the deforming is done by sound waves in the air). The piezo effect works in reverse. When a suitable crystal is placed in an electric field it deforms itself rhythmically. Often the timing of this oscillation is extremely accurate. It serves as the equivalent of the pendulum or balance wheel in a quartz watch.
Let me tell you one last thing about crystals, and it may be the most fascinating of all. The military metaphor makes us think of each soldier as a metre or two from his neighbours. But actually almost all the interior of a crystal is empty space. My head is 18 centimetres in diameter. To
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? SCIENCE AND SENSIBILITY
keep to scale, my nearest neighbours in the crystalline parade would have to be standing more than a kilometre away. No wonder the tiny particles called neutrinos (even smaller than electrons) pass right through the earth and come out the other side as if it wasn't there.
But if solid things are mostly empty space, why don't we see them as empty space? Why does a diamond feel hard and solid instead of crumbly and full of holes? The answer lies in our own evolution. Our sense organs, like all our bits, have been shaped by Darwinian natural selection over countless generations. You might think that our sense organs would be shaped to give us a 'true' picture of the world as it 'really' is. It is safer to assume that they have been shaped to give us a useful picture of the world, to help us to survive. In a way, what sense organs do is assist our brains to construct a useful model of the world, and it is this model that we move around in. It is a kind of 'virtual reality' simulation of the real world. Neutrinos can pass straight through a rock but we can't. If we try to, we hurt ourselves. When constructing its simulation of rock, the brain therefore represents it as hard and solid. It's almost as though our sense organs are telling us: 'You can't get through objects of this kind. ' That's what 'solid' means. That's why we perceive them as 'solid'.
In the same way we find much of the universe, as science discovers it, difficult to understand. Einstein's relativity, quantum uncertainty, black holes, the big bang, the expanding universe, the vast slow movement of geological time - all these are hard to grasp. No wonder science frightens some people. But science can even explain why these things are hard to understand, and why the effort frightens us. We are jumped- up apes, and our brains were only designed to understand the mundane details of how to survive in the stone-age African savannah.
These are deep matters, and a short article is not the place to go into them. I shall have succeeded if I have persuaded you that a scientific approach to crystals is more illuminating, more uplifting, and also stranger, than anything imagined in the wildest dreams of New Age gurus or paranormal preachers. The blunt truth is that the dreams and visions of gurus and preachers are not nearly wild enough. By scientific standards, that is.
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? I ? 'U Postmodernism Disrobed
Review of Intellectual Impostures by Alan Sokal and Jean Bricmont
Suppose you are an intellectual impostor with nothing to say, but with strong ambitions to succeed in academic life, collect a coterie of reverent disciples and have students around the world anoint your pages with respectful yellow highlighter. What kind of literary style would you culti- vate? Not a lucid one, surely, for clarity would expose your lack of content. The chances are that you would produce something like the following:
We can clearly see that there is no bi-univocal correspondence between linear signifying links or archi-writing, depending on the author, and this multi- referential, multi-dimensional machinic catalysis. The symmetry of scale, the transversality, the pathic non-discursive character of their expansion: all these dimensions remove us from the logic of the excluded middle and reinforce us in our dismissal of the ontological binarism we criticised previously.
This is a quotation from the psychoanalyst Felix Guattari, one of many fashionable French 'intellectuals' outed by Alan Sokal and Jean Bricmont
in their splendid book Intellectual Impostures, which caused a sensation when published in French last year, and which is now released in a completely rewritten and revised English edition. Guattari goes on indefinitely in this vein and offers, in the opinion of Sokal and Bricmont, 'the most brilliant melange of scientific, pseudo-scientific and philosophical jargon that we have ever encountered'. Guattari's close collaborator, the late Gilles Deleuze had a similar talent for writing:
In the first place, singularities-events correspond to heterogeneous series which are organized into a system which is neither stable nor unstable, but rather 'metastable', endowed with a potential energy wherein the differences between series are distributed . . . In the second place, singularities possess a process of auto-unification, always mobile and displaced to the extent that a paradoxical element traverses the series and makes them resonate, enveloping the corresponding singular points in a single aleatory point and all the emissions, all dice throws, in a single cast.
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? SCIENCE AND SENSIBILITY
It calls to mind Peter Medawar's earlier characterization of a certain type of French intellectual style (note, in passing, the contrast offered by Medawar's own elegant and clear prose):
Style has become an object of first importance, and what a style it is! For me it has a prancing, high-stepping quality, full of self-importance, elevated indeed, but in the balletic manner, and stopping from time to time in studied attitudes, as if awaiting an outburst of applause. It has had a deplorable influence on the quality of modern thought. . .
Returning to attack the same targets from another angle, Medawar says:
I could quote evidence of the beginnings of a whispering campaign against the virtues of clarity. A writer on structuralism in the 77mes Literary Supplement has suggested that thoughts which are confused and tortuous by reason of their profundity are most appropriately expressed in prose that is deliberately unclear. What a preposterously silly idea! I am reminded of an air-raid warden
in wartime Oxford who, when bright moonlight seemed to be defeating the spirit of the blackout, exhorted us to wear dark glasses. He, however, was being funny on purpose.
This is from Medawar's 1968 Lecture on 'Science and Literature', reprinted
23
in Pluto's Republic . Since Medawar's time, the whispering campaign has
raised its voice.
Deleuze and Guattari have written and collaborated on books described
by the celebrated Michel Foucault as 'among the greatest of the great. . . Some day, perhaps, the century will be Deleuzian. ' Sokal and Bricmont, however, remark that
These texts contain a handful of intelligible sentences - sometimes banal, sometimes erroneous - and we have commented on some of them in the footnotes. For the rest, we leave it to the reader to judge.
But it's tough on the reader. No doubt there exist thoughts so profound that most of us will not understand the language in which they are expressed. And no doubt there is also language designed to be unintelligible in order to conceal an absence of honest thought. But how are we to tell the difference? What if it really takes an expert eye to detect whether the emperor has clothes? In particular, how shall we know whether the modish French 'philosophy', whose disciples and exponents have all but taken over large sections of American academic life, is genuinely profound or the vacuous rhetoric of mountebanks and charlatans?
Sokal and Bricmont are professors of physics at, respectively, New
48
? York University and the University of Louvain. They have limited their critique to those books that have ventured to invoke concepts from physics and mathematics. Here they know what they are talking about, and their verdict is unequivocal: on Lacan, for example, whose name is revered by many in humanities departments throughout American and British universities, no doubt partly because he simulates a profound understanding of mathematics:
. . . although Lacan uses quite a few key words from the mathematical theory of compactness, he mixes them up arbitrarily and without the slightest regard for their meaning. His 'definition' of compactness is not just false: it is gibberish.
They go on to quote the following remarkable piece of reasoning by Lacan:
Thus, by calculating that signification according to the algebraic method used here, namely:
S (signifier)
-=s (the statement)
s (signified)
With S=(-1), produces: s=V-1
You don't have to be a mathematician to see that this is ridiculous. It recalls the Aldous Huxley character who proved the existence of God by dividing zero into a number, thereby deriving the infinite. In a further piece of reasoning which is entirely typical of the genre, Lacan goes on to conclude that the erectile organ
. . . is equivalent to the V-1 of the signification produced above, of the/ou/ssance that it restores by the coefficient of its statement to the function of lack of signifier (-1).
We do not need the mathematical expertise of Sokal and Bricmont to assure us that the author of this stuff is a fake. Perhaps he is genuine when he speaks of non-scientific subjects? But a philosopher who is caught equating the erectile organ to the square root of minus one has, for my money, blown his credentials when it comes to things that I don't know anything about.
The feminist 'philosopher' Luce Irigaray is another who is given
whole chapter treatment by Sokal and Bricmont. In a passage
reminiscent of a notorious feminist description of Newton's Principia 2
(a 'rape manual'), Irigaray argues that E=mc is a 'sexed equation'. Why? Because 'it privileges the speed of light over other speeds that are vitally necessary to us' (my emphasis of what I am rapidly coming to
POSTMODERNISM DISROBED
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? SCIENCE AND SENSIBILITY
learn is an in-word). Just as typical of the school of thought under examination is Irigaray's thesis on fluid mechanics. Fluids, you see, have been unfairly neglected. 'Masculine physics' privileges rigid, solid things. Her American expositor Katherine Hayles made the mistake of re-expressing Irigaray's thoughts in (comparatively) clear language. For once, we get a reasonably unobstructed look at the emperor and, yes, he has no clothes:
The privileging of solid over fluid mechanics, and indeed the inability of science to deal with turbulent flow at all, she attributes to the association of fluidity with femininity. Whereas men have sex organs that protrude and become rigid, women have openings that leak menstrual blood and vaginal fluids . . . From this perspective it is no wonder that science has not been able to arrive at a successful model for turbulence. The problem of turbulent flow cannot be solved because the conceptions of fluids (and of women) have been formulated so as necessarily to leave unarticulated remainders.
You don't have to be a physicist to smell out the daffy absurdity of this kind of argument (the tone of it has become all too familiar), but it helps to have Sokal and Bricmont on hand to tell us the real reason why turbulent flow is a hard problem (the Navier-Stokes equations are difficult to solve).
In similar manner, Sokal and Bricmont expose Bruno Latour's confu- sion of relativity with relativism, Lyotard's 'postmodern science', and the widespread and predictable misuses of Godel's Theorem, quantum theory and chaos theory. The renowned Jean Baudrillard is only one of many to find chaos theory a useful tool for bamboozling readers. Once again, Sokal and Bricmont help us by analysing the tricks being played. The following sentence, 'though constructed from scientific terminology, is meaningless from a scientific point of view':
Perhaps history itself has to be regarded as a chaotic formation, in which acceleration puts an end to linearity and the turbulence created by acceleration deflects history definitively from its end, just as such turbulence distances effects from their causes.
I won't quote any more, for, as Sokal and Bricmont say, Baudrillard's text 'continues in a gradual crescendo of nonsense'. They again call attention to 'the high density of scientific and pseudoscientific terminology - inserted in sentences that are, as far as we can make out, devoid of meaning'. Their summing up of Baudrillard could stand for any of the authors criticized here, and lionized throughout America:
50
? In summary, one finds in Baudrillard's works a profusion of scientific terms, used with total disregard for their meaning and, above all, in a context where they are manifestly irrelevant. Whether or not one interprets them as metaphors, it is hard to see what role they could play, except to give an appearance of profundity to trite observations about sociology or history. Moreover, the scientific terminology is mixed up with a non-scientific vocabulary that is employed with equal sloppiness. When all is said and done, one wonders what would be left of Baudrillard's thought if the verbal veneer covering it were stripped away.
But don't the postmodernists claim only to be 'playing games'? Isn't it the whole point of their philosophy that anything goes, there is no absolute truth, anything written has the same status as anything else, no point of view is privileged? Given their own standards of relative truth, isn't it rather unfair to take them to task for fooling around with word-games, and playing little jokes on readers? Perhaps, but one is then left wondering why their writings are so stupefyingly boring. Shouldn't games at least be entertaining, not po-faced, solemn and pretentious? More tellingly, if they are only joking around, why do they react with such shrieks of dismay when somebody plays a joke at their expense? The genesis of Intellectual Impostures was a brilliant hoax perpetrated by Alan Sokal, and the stunning success of his coup was not greeted with the chuckles of delight that one might have hoped for after such a feat of deconstructive game playing. Apparently, when you've become the establishment, it ceases to be funny when somebody punctures the established bag of wind.
As is now rather well known, in 1996 Sokal submitted to the American journal Social Text a paper called 'Transgressing the Boundaries: towards
a transformative hermeneutics of quantum gravity'. From start to finish
the paper was nonsense. It was a carefully crafted parody of postmodern metatwaddle. Sokal was inspired to do this by Paul Gross and Norman
Levitt's Higher Superstition: the academic left and its quarrels with science, an important book which deserves to become as well known in Britain
as it already is in America. Hardly able to believe what he read in this
book, Sokal followed up the references to postmodern literature, and
found that Gross and Levitt did not exaggerate. He resolved to do something about it. In Gary Kamiya's words:
Anyone who has spent much time wading through the pious, obscurantist, jargon-filled cant that now passes for 'advanced' thought in the humanities knew it was bound to happen sooner or later: some clever academic, armed with the not-so-secret passwords ('hermeneutics', 'transgressive', 'Lacanian',
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'hegemony', to name but a few) would write a completely bogus paper, submit it to an au courant journal, and have it accepted . . . Sokal's piece uses all the right terms. It cites all the best people. It whacks sinners (white men, the 'real world'), applauds the virtuous (women, general metaphysical lunacy) . . . And it is complete, unadulterated bullshit - a fact that somehow escaped the attention of the high-powered editors of Social Text, who must now be experiencing that queasy sensation that afflicted the Trojans the morning after they pulled that nice big gift horse into their city.
Sokal's paper must have seemed a gift to the editors because this was a physicist saying all the right-on things they wanted to hear, attacking the 'post-Enlightenment hegemony' and such uncool notions as the existence of the real world. They didn't know that Sokal had also crammed his paper with egregious scientific howlers, of a kind that any referee with an undergraduate degree in physics would instantly have
detected. It was sent to no such referee. The editors, Andrew Ross and others, were satisfied that its ideology conformed to their own, and were perhaps flattered by references to their own works. This ignominious piece of editing rightly earned them the 1996 Ig Nobel Prize for literature.
Notwithstanding the egg all over their faces, and despite their feminist pretensions, these editors are dominant males in the academic lekking arena. Andrew Ross himself has the boorish, tenured confidence to say things like, 'I am glad to be rid of English Departments. I hate literature, for one thing, and English departments tend to be full of people who love literature'; and the yahooish complacency to begin a book on 'science studies' with these words: 'This book is dedicated to all of the science teachers I never had. It could only have been written without them. ' He and his fellow 'cultural studies' and 'science studies' barons are not harmless eccentrics at third-rate state colleges. Many of them have tenured professorships at some of America's best univer- sities. Men of this kind sit on appointment committees, wielding power over young academics who might secretly aspire to an honest academic career in literary studies or, say, anthropology. I know - because many of them have told me - that there are sincere scholars out there who would speak out if they dared, but who are intimidated into silence. To them, Alan Sokal will appear as a hero, and nobody with a sense of humour or a sense of justice will disagree. It helps, by the way, although it is strictly irrelevant, that his own left-wing credentials are impeccable.
In a detailed post-mortem of his famous hoax, submitted to Social Text but predictably rejected by them and published elsewhere, Sokal
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? notes that, in addition to numerous half truths, falsehoods and non- sequiturs, his original article contained some 'syntactically correct sentences that have no meaning whatsoever'. He regrets that there were not more of the latter: 'I tried hard to produce them, but I found that, save for rare bursts of inspiration, I just didn't have the knack. ' If he were writing his parody today, he'd surely have been helped by a virtuoso piece of computer programming by Andrew Bulhak of Melbourne: the Postmodernism Generator. Every time you visit it at http://www.
a true clone of a baby, the dinner would never have gone ahead, especially at the height of the Dolly-inspired cloning controversy. You cannot have it both ways.
I want to conclude with a rather idiosyncratic approach to the matter of science and ethics: ethical treatment of scientific truth itself. I want to suggest that objective truth sometimes needs the same kind of protection as the libel laws now give to individuals. Or at least to suggest that the Trades Descriptions Act might be more imaginatively invoked. I'll say a little about this first, in the light of Prince Charles's recent plea for public money to do research into 'alternative medicine'.
If a pharmaceutical company advertises its pills as curing headaches, it must be able to demonstrate, in double-blind controlled trials, that its pills do indeed cure headaches. Double-blind means, of course, that neither the patients, nor the testers, know until afterwards which patients received the dose, and which the placebo control. If the pills cannot pass this test - if numerous strenuous efforts fail to distinguish them from a neutral placebo - I presume the company might be in danger of prosecution under the Trades Descriptions Act.
Homeopathic remedies are big business, they are advertised as efficacious in various ways, yet they have never been demonstrated to have any effect at all. Personal testimony is ubiquitous, but it is useless evidence because of the notorious power of the placebo effect. This is exactly why 'orthodox' medicines are obliged to prove themselves in double-blind trials. *
I do not want to imply that all so-called 'alternative medicines' are as useless as homeopathy. For all I know, some of them may work. But they must be demonstrated to work, by double-blind placebo-control trials or some equivalent experimental design. And if they pass that test, there is then no longer any reason to call them 'alternative'. Mainstream medicine would simply adopt them. As the distinguished journalist John Diamond wrote movingly (like many patients dying of cancer, he had false hopes cruelly raised by a succession of plausible quacks) in The Independent recently:
There is really no such thing as alternative medicine, just medicine that works and medicine that doesn't. . . There isn't an 'alternative' physiology or anatomy or nervous system any more than there's an alternative map of London which lets you get to Battersea from Chelsea without crossing the Thames.
? Homeopathy has special problems with double-blind control testing. I discuss this in my Foreword to John Diamond's Snake Oil (see pp. 181-4).
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? But I began this final section in more radical terms. I wanted to extend the concept of libel to include lies that may not damage particular people but damage truth itself. Some twenty years ago, long before Dolly showed it was plausible, a book was published claiming, in great detail, that a rich man in South America had had himself cloned, by a scientist code-named Darwin. As a work of science fiction it would have been unexceptionable, but it was sold as sober fact. The author and publishers were sued, by Dr Derek Bromhall, who claimed that his reputation as a scientist was damaged by his being quoted in the book. My point is that whatever damage may or may not have been done to Dr Bromhall, far more important was the damage done to scientific truth itself.
That book has faded from memory and I bring it up only as an example. Obviously I want to generalize the principle to all deliberate falsifications, misrepresentations, of scientific truth. Why should a Derek Bromhall have to prove himself personally damaged, before we can prosecute a book which wantonly publishes lies about the universe? As will be obvious I'm no lawyer but, if I was, rather than constantly feel the need to drag things down to the question of whether particular humans have been damaged, I think I would like to stand up and defend truth itself. No doubt I shall be told - and convinced - that a court of law is not the right place for this. But in the wider world, if I am asked for a single phrase to characterize my role as Professor of Public Understanding of Science, I think I would choose Advocate for Disinterested Truth.
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? /
1. 5 Trial By Jury
Trial by jury must be one of the most conspicuously bad good ideas anyone ever had. Its devisers can hardly be blamed. They lived before the principles of statistical sampling and experimental design had been worked out. They weren't scientists. Let me explain using an analogy. And if, at the end, somebody objects to my argument on the grounds that humans aren't herring gulls, I'll have failed to get my point across.
Adult herring gulls have a bright yellow bill with a conspicuous red spot near the tip. Their babies peck at the red spot, which induces the parents to regurgitate food for them. Niko Tinbergen, Nobel Prize- winning zoologist and my old maestro at Oxford, offered naive young chicks a range of cardboard dummy gull heads varying in bill and spot colour, and shape. For each colour, shape or combination, Tinbergen measured the preferences of the baby chicks by counting their pecks in a standard time. The idea was to discover whether naive gull chicks are born with a built-in preference for long yellow things with red spots. If so, this would suggest that genes equip the young birds with detailed prior knowledge of the world in which they are about to hatch - a world in which food comes out of adult herring gull beaks.
Never mind the reason for the research, and never mind the con- clusions. Consider, instead, the methods you must use, and the pitfalls you must avoid, if you want to get a correct result in any such experiment. These turn out to be general principles which apply to human juries as strongly as to gull chicks.
First, you obviously must test more than one chick. It could be that some chicks are red-biased, others blue-biased, with no tendency for herring gull chicks in general to share the same favourite colour. So, by picking out a single chick, you are measuring nothing more than individual bias.
So, we must test more than one chick. How many? Is two enough? No, nor is three, and now we must start to think statistically. To make
38
? it simple, suppose that in a particular experiment we are comparing only red spots versus blue spots, both on a yellow background, and always presented simultaneously. If we test just two chicks separately, suppose the first chick chooses red. It had a 50 per cent chance of doing so, at random. Now the second chick also happens to choose red. Again, the odds were 50 per cent that it would do so at random, even if it were colourblind. There's a 50 per cent chance that two randomly choosing chicks will agree (half of the four possibilities: red red, red blue, blue red, blue blue). Three chicks aren't enough either. If you write down all the possibilities, you'll find that there's a 25 per cent chance of a unanimous verdict, by luck alone. Twenty-five per cent, as the odds of reaching a conclusion for the wrong reason, is unacceptably large.
How about twelve good chicks and true? Now you're talking. If twelve chicks are independently offered a choice between two alternatives, the odds that they will all reach the same verdict by chance alone are satisfyingly low, only one in 2048.
But now suppose that, instead of testing our twelve chicks indepen- dently, we test them as a group. We take a maelstrom of twelve cheeping chicks and lower into their midst a red spotted dummy and a blue spotted dummy, each fitted with an electrical device for auto- matically tallying pecks. And suppose that the collective of chicks registers 532 pecks at red and zero at blue. Does this massive disparity show that those twelve chicks prefer red? Absolutely not. The pecks are not independent data. Chicks could have a strong tendency to imitate one another (as well as imitate themselves in lock-on effects). If one chick just happened to peck at red first, others might copy him and the whole company of chicks join in a frenzy of imitative pecking. As a matter of fact this is precisely what domestic chicken chicks do, and gull chicks are very likely the same. Even if not, the principle remains that the data are not independent and the experiment is therefore invalid. The twelve chicks are strictly equivalent to a single chick, and their summed pecks, however numerous, might as well be only a single peck: they amount to only a single independent result.
Turning to courts of law, why are twelve jurors preferred to a single judge? Not because they are wiser, more knowledgeable or more practised in the arts of reasoning. Certainly not, and with a vengeance. Think of the astronomical damages awarded by juries in footling libel cases. Think how juries bring out the worst in histrionic, gallery-playing lawyers. Twelve jurors are preferred to one judge only because they are more numerous. Letting a single judge decide a verdict would be like letting a single chick speak for the whole herring gull species. Twelve
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heads are better than one, because they represent twelve assessments of the evidence.
But for this argument to be valid, the twelve assessments really have to be independent. And of course they are not. Twelve men and women locked in a jury room are like our clutch of twelve gull chicks. Whether they actually imitate each other like chicks, they might. That is enough to invalidate the principle by which a jury might be preferred over a single judge.
In practice, as is well documented and as I remember from the three juries that it has been my misfortune to serve on, juries are massively swayed by one or two vocal individuals. There is also strong pressure to conform to a unanimous verdict, which further undermines the principle of independent data. Increasing the number of jurors doesn't help, or not much (and not at all, in strict principle). What you have to increase is the number of independent verdict-reaching units.
Oddly enough, the bizarre American system of televising trials opens up a real possibility of improving the jury system. By the end of trials such as those of Louise Woodward or O. J. Simpson, literally thousands of people around the country have attended to the evidence as assiduously as the official jury. A mass phone-in might produce a fairer verdict than a jury. But, unfortunately, journalistic discussion, radio talk- shows and ordinary gossip would violate the Principle of Independent Data and we'd be back where we started. The broadcasting of trials, in any case, has horrible consequences. In the wake of Louise Woodward's trial, the Internet seethed with ill-spelled and ungrammatical vicious- ness, the cheque-book journalists were queuing up, and the unfortunate judge presiding had to change his telephone number and employ a bodyguard.
So, how can we improve the system? Should twelve jurors be locked in twelve isolation chambers and their opinions separately polled so that they constitute genuinely independent data? If it is objected that some would be too stupid or inarticulate to reach a verdict on their own, we are left wondering why such individuals are allowed on a jury at all. Perhaps there is something to be said for the collective wisdom that emerges when a group of people thrash out a topic together, round a table. But this still leaves the principle of independent data unsatisfied.
Should all cases be tried by two separate juries? Or three? Or twelve? Too expensive, at least if each jury has twelve members. Two juries of six members, or three juries of four members, would probably be an improvement over the present system. But isn't there some way of
40
? testing the relative merits of such alternative options, or of comparing the merits of trial by jury versus trial by judge?
Yes, there is. I'll call it the Two Verdicts Concordance Test. It is based on the principle that, if a decision is valid, two independent shots at making it should yield the same result. Just for purposes of the test, we run to the expense of having two juries, listening to the same case and forbidden to talk to members of the other jury. At the end, we lock the two juries in two separate jury rooms and see if they reach the same verdict. If they don't, neither verdict has been proved beyond reason- able doubt, and this would cast reasonable doubt on the jury system itself.
To make the experimental comparison with Trial by Judge, we need two experienced judges to listen to the same case, and require them too to reach their separate verdicts without talking to each other. Which- ever system, Trial by Jury or Trial by Judge, yields the higher score of agreements over a number of trials is the better system and might, if its Concordance Score is high, even be accredited for future use with some confidence.
Would you bet on two independent juries reaching the same verdict in the Louise Woodward case? Could you imagine even one other jury reaching the same verdict in the O. J. Simpson case? Two judges, on the other hand, seem to me rather likely to score well on the concordance test. And should I be charged with a serious crime, here's how I want to be tried. If I know myself to be guilty, I'll go with the loose cannon of a jury, the more ignorant, prejudiced and capricious the better. But if I am innocent, and the ideal of multiple independent decision-takers is unavailable, please give me a judge.
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? 1. 6 Crystalline Truth and
Crystal Balls21
A celebrated film star 'places four quartz crystal clusters in the four corners of her bathtub every time she takes a bath'. This doubtless has some mystic connection with the following recipe for meditation.
Each of the four quartz crystals in the meditation room should be 'programmed' to project gentle, loving, relaxing, crystalline energy towards all those present within the Meditation group. The quartz crystals will then generate a field of positive crystalline energy surrounding everyone in the room.
Language like this is a con-trick. It sounds 'scientific' enough to bamboozle the innocent. 'Programming' is what you do to computers. The word means nothing when applied to crystals. 'Energy' and 'field' are carefully defined notions in physics. There is no such thing as 'loving' or 'crystalline' energy, whether positive or no. *
New Age lore also advises placing a quartz crystal in your water jug. 'You will soon appreciate the sparkling purity of your crystal water. ' See how the trick works. Somebody with no understanding of the real world could make a kind of 'poetic' association with 'crystal clear' water. But that is no more sensible than trying to read by the light of a ('bright as a') button. Or putting ('hard as') nails under your pillow to assist an erection.
Try the following experiment when you next suffer from 'flu': hold your personal quartz crystal and visualize yellow light radiating through it. Then place your crystal in a jug of water and drink this water the next day; one cup of water at two-hourly intervals. You will be amazed at the result!
Drinking water at two-hourly intervals is a good idea anyway, when you have flu. Putting a quartz crystal in it will have no additional effect. In
*And, by the way, the next time you visit an 'alternative' therapist who claims to be 'balancing your energy fields', challenge them to say what they mean. The answer will be absolutely nothing.
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particular, no amount of 'visualizing' of coloured light will change the composition of either the crystal or the water.
Pseudoscientific drivel like this is a disturbingly prominent part of the culture of our age. I have limited my examples to crystals because I had to draw a line somewhere. But 'star signs' would have done just as well. Or 'angels', 'channelling', 'telepathy', 'quantum healing', 'homeopathy', 'map-dowsing'. There is no obvious limit to human gullibility. We are docile credulity-cows, eager victims of quacks and charlatans who milk us and grow fat. There is a rich living to be made by anyone prepared to prostitute the language - and the wonder - of science.
But isn't it all - crystal ball gazing, star signs, birth stones, ley-lines and the rest - just a bit of harmless fun? If people want to believe in garbage like astrology, or crystal healing, why not let them? But it's so sad to think about all that they are missing. There is so much wonder in real science. The universe is mysterious enough to need no help from warlocks, shamans and 'psychic' tricksters. These are at best a soul- sapping distraction. At worst they are dangerous profiteers.
The real world, properly understood in the scientific way, is deeply beautiful and unfailingly interesting. It's worth putting in some honest effort to understand it properly, undistracted by false wonder and prostituted pseudoscience. For illustration, we need look no farther than crystals themselves.
In a crystal such as quartz or diamond the atoms are arranged in a precisely repeating pattern. The atoms in a diamond - all identical carbon atoms - are arrayed like soldiers on parade except that the precision of their dressing far outsmarts the best-drilled guards regiment, and the atomic soldiers outnumber all the people that have ever lived or ever will. Imagine yourself shrunk to become one of the carbon atoms in the heart of a diamond crystal. You are one of the soldiers in a gigantic parade, but it'll seem a little odd because the files are arrayed in three dimensions. Perhaps a prodigious school of fish is a better image.
Each fish in the school is one carbon atom. Think of them hovering in space, keeping their distance from each other and holding their precise angles, by means of forces that you can't see but which scientists fully understand. But if this is a fish school, it is one that - to scale - would fill the Pacific Ocean. In any decent-sized diamond, you are likely to be looking along arrays of atoms numbering hundreds of millions in any one straight line.
Carbon atoms can take up other crystal lattice formations. To revert to the military analogy, they can adopt alternative drill conventions.
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Graphite (the 'lead' in pencils) is also carbon, but it's obviously nothing like diamond. In graphite, the atoms form sheets of hexagons, like chicken wire. Each sheet is loosely bonded to those above and below it, and when impurities are present the sheets slide easily against each other, which is why graphite is a good lubricant. Diamond is very much not a lubricant.
Its legendary hardness abrades the toughest materials. The atoms in soft graphite and hard diamond are identical. If you could persuade the atoms in graphite crystals to adopt the drill rules of diamond crystals, you'd be rich. It can be done, but you need colossal pressures and high temperatures, presumably the conditions that naturally manufacture diamonds, deep in the earth.
If hexagons make a sheet of flat graphite, you can imagine that interspersing some pentagons among the hexagons could make the sheet buckle into a curve. Place exactly 12 pentagons strategically among 20 hexagons and the curve bends round into a complete sphere. Geometers call it a truncated icosahedron. This is exactly the pattern of the sewing seams on a football. The football is, therefore, theoretically a pattern into which carbon atoms might spontaneously fall.
Mirabile dictu, exactly this pattern has been discovered among carbon atoms. The team responsible, including Sir Harry Kroto of Sussex University, won the 1996 Nobel Prize for Chemistry. Called Buckminsterfullerene, it is an elegant sphere of 60 carbon atoms, linked up as 20 hexagons interspersed with 12 pentagons. The name honours the visionary American architect Buckminster Fuller (whom I was privileged to meet when he was a very old man*) and the spheres are affectionately known as buckyballs. They can combine together to make larger crystals. Like graphite sheets, buckyballs make good lubricants, probably because of their spherical shape: they presumably work like tiny ball bearings.
Since the buckyball's discovery, chemists have realized that it is just a special case of a large family of 'buckytubes' and other 'fullerenes'. Carbon atoms can theoretically join up to form an Aladdin's cave of fascinating crystalline forms - another aspect of the unique property that qualifies carbon to be the fundamental element of life.
Not every atom has carbon's talent for joining copies of itself. Other crystals contain more than one kind of 'soldier', alternating in some elegant pattern. In quartz crystals it is silicon and oxygen instead of carbon; in common salt it is electrically charged atoms of sodium and chlorine. Crystals naturally break along lines that betray the underlying
*He was billed to give us a short lecture but, unscripted, he held us spellbound for three hours.
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regimental drill pattern. That is why salt crystals are square, why the honeycomb columns of the Giant's Causeway stand as they do, and why diamond crystals are, well, diamond-shaped.
All crystals 'self-assemble' under locally acting rules. Their component 'soldiers', floating in free solution in water, spontaneously plug themselves into 'gaps' on the surface of the existing crystal, where they exactly fit. So a crystal may grow in solution from a tiny 'seed' - perhaps an impurity like the sand grain at the heart of a pearl. There is no grand design of buckyballs, quartz crystals, diamonds or anything else. This principle of self-assembly runs right through living structure, too. DNA itself (the genetic molecule, the molecule at the centre of all life) can be regarded as a long, spiral crystal in which one half of the double helix self-assembles on a template provided by the other. Viruses self-assemble like elaborately complex crystal-clusters. The head of the T4 bacterio- phage (a virus that infects bacteria) actually looks like a single crystal.
Go into any museum and look at the collection of minerals. Even go into a New Age shop and look at the crystals on display, along with all the other apparatus of mumbo-jumbo and kitsch con-trickery. The crystals won't respond to your attempts to 'program' them for meditation, or 'dedicate' them with warm, loving thoughts. They won't cure you of anything, or fill the room with 'inner peace' or 'psychic energy'. But many of them are very beautiful, and it surely only adds to the beauty when we understand that the shapes of the crystals, the angles of their facets, the rainbow colours that flash from inside them, all have a precise explanation which lies deep in the patterns of atomic lattice-work.
Crystals don't vibrate with mystical, loving energy. But they do, in a much stricter and more interesting sense, vibrate. Some crystals have an electric charge across them, which changes when you physically deform the crystal. This 'piezo-electric' effect, discovered in 1880 by the Curie brothers (Marie's husband and his brother), is used in the styluses of record players (the 'deforming' is done by the groove of the turning record) and in some microphones (the deforming is done by sound waves in the air). The piezo effect works in reverse. When a suitable crystal is placed in an electric field it deforms itself rhythmically. Often the timing of this oscillation is extremely accurate. It serves as the equivalent of the pendulum or balance wheel in a quartz watch.
Let me tell you one last thing about crystals, and it may be the most fascinating of all. The military metaphor makes us think of each soldier as a metre or two from his neighbours. But actually almost all the interior of a crystal is empty space. My head is 18 centimetres in diameter. To
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keep to scale, my nearest neighbours in the crystalline parade would have to be standing more than a kilometre away. No wonder the tiny particles called neutrinos (even smaller than electrons) pass right through the earth and come out the other side as if it wasn't there.
But if solid things are mostly empty space, why don't we see them as empty space? Why does a diamond feel hard and solid instead of crumbly and full of holes? The answer lies in our own evolution. Our sense organs, like all our bits, have been shaped by Darwinian natural selection over countless generations. You might think that our sense organs would be shaped to give us a 'true' picture of the world as it 'really' is. It is safer to assume that they have been shaped to give us a useful picture of the world, to help us to survive. In a way, what sense organs do is assist our brains to construct a useful model of the world, and it is this model that we move around in. It is a kind of 'virtual reality' simulation of the real world. Neutrinos can pass straight through a rock but we can't. If we try to, we hurt ourselves. When constructing its simulation of rock, the brain therefore represents it as hard and solid. It's almost as though our sense organs are telling us: 'You can't get through objects of this kind. ' That's what 'solid' means. That's why we perceive them as 'solid'.
In the same way we find much of the universe, as science discovers it, difficult to understand. Einstein's relativity, quantum uncertainty, black holes, the big bang, the expanding universe, the vast slow movement of geological time - all these are hard to grasp. No wonder science frightens some people. But science can even explain why these things are hard to understand, and why the effort frightens us. We are jumped- up apes, and our brains were only designed to understand the mundane details of how to survive in the stone-age African savannah.
These are deep matters, and a short article is not the place to go into them. I shall have succeeded if I have persuaded you that a scientific approach to crystals is more illuminating, more uplifting, and also stranger, than anything imagined in the wildest dreams of New Age gurus or paranormal preachers. The blunt truth is that the dreams and visions of gurus and preachers are not nearly wild enough. By scientific standards, that is.
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? I ? 'U Postmodernism Disrobed
Review of Intellectual Impostures by Alan Sokal and Jean Bricmont
Suppose you are an intellectual impostor with nothing to say, but with strong ambitions to succeed in academic life, collect a coterie of reverent disciples and have students around the world anoint your pages with respectful yellow highlighter. What kind of literary style would you culti- vate? Not a lucid one, surely, for clarity would expose your lack of content. The chances are that you would produce something like the following:
We can clearly see that there is no bi-univocal correspondence between linear signifying links or archi-writing, depending on the author, and this multi- referential, multi-dimensional machinic catalysis. The symmetry of scale, the transversality, the pathic non-discursive character of their expansion: all these dimensions remove us from the logic of the excluded middle and reinforce us in our dismissal of the ontological binarism we criticised previously.
This is a quotation from the psychoanalyst Felix Guattari, one of many fashionable French 'intellectuals' outed by Alan Sokal and Jean Bricmont
in their splendid book Intellectual Impostures, which caused a sensation when published in French last year, and which is now released in a completely rewritten and revised English edition. Guattari goes on indefinitely in this vein and offers, in the opinion of Sokal and Bricmont, 'the most brilliant melange of scientific, pseudo-scientific and philosophical jargon that we have ever encountered'. Guattari's close collaborator, the late Gilles Deleuze had a similar talent for writing:
In the first place, singularities-events correspond to heterogeneous series which are organized into a system which is neither stable nor unstable, but rather 'metastable', endowed with a potential energy wherein the differences between series are distributed . . . In the second place, singularities possess a process of auto-unification, always mobile and displaced to the extent that a paradoxical element traverses the series and makes them resonate, enveloping the corresponding singular points in a single aleatory point and all the emissions, all dice throws, in a single cast.
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It calls to mind Peter Medawar's earlier characterization of a certain type of French intellectual style (note, in passing, the contrast offered by Medawar's own elegant and clear prose):
Style has become an object of first importance, and what a style it is! For me it has a prancing, high-stepping quality, full of self-importance, elevated indeed, but in the balletic manner, and stopping from time to time in studied attitudes, as if awaiting an outburst of applause. It has had a deplorable influence on the quality of modern thought. . .
Returning to attack the same targets from another angle, Medawar says:
I could quote evidence of the beginnings of a whispering campaign against the virtues of clarity. A writer on structuralism in the 77mes Literary Supplement has suggested that thoughts which are confused and tortuous by reason of their profundity are most appropriately expressed in prose that is deliberately unclear. What a preposterously silly idea! I am reminded of an air-raid warden
in wartime Oxford who, when bright moonlight seemed to be defeating the spirit of the blackout, exhorted us to wear dark glasses. He, however, was being funny on purpose.
This is from Medawar's 1968 Lecture on 'Science and Literature', reprinted
23
in Pluto's Republic . Since Medawar's time, the whispering campaign has
raised its voice.
Deleuze and Guattari have written and collaborated on books described
by the celebrated Michel Foucault as 'among the greatest of the great. . . Some day, perhaps, the century will be Deleuzian. ' Sokal and Bricmont, however, remark that
These texts contain a handful of intelligible sentences - sometimes banal, sometimes erroneous - and we have commented on some of them in the footnotes. For the rest, we leave it to the reader to judge.
But it's tough on the reader. No doubt there exist thoughts so profound that most of us will not understand the language in which they are expressed. And no doubt there is also language designed to be unintelligible in order to conceal an absence of honest thought. But how are we to tell the difference? What if it really takes an expert eye to detect whether the emperor has clothes? In particular, how shall we know whether the modish French 'philosophy', whose disciples and exponents have all but taken over large sections of American academic life, is genuinely profound or the vacuous rhetoric of mountebanks and charlatans?
Sokal and Bricmont are professors of physics at, respectively, New
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? York University and the University of Louvain. They have limited their critique to those books that have ventured to invoke concepts from physics and mathematics. Here they know what they are talking about, and their verdict is unequivocal: on Lacan, for example, whose name is revered by many in humanities departments throughout American and British universities, no doubt partly because he simulates a profound understanding of mathematics:
. . . although Lacan uses quite a few key words from the mathematical theory of compactness, he mixes them up arbitrarily and without the slightest regard for their meaning. His 'definition' of compactness is not just false: it is gibberish.
They go on to quote the following remarkable piece of reasoning by Lacan:
Thus, by calculating that signification according to the algebraic method used here, namely:
S (signifier)
-=s (the statement)
s (signified)
With S=(-1), produces: s=V-1
You don't have to be a mathematician to see that this is ridiculous. It recalls the Aldous Huxley character who proved the existence of God by dividing zero into a number, thereby deriving the infinite. In a further piece of reasoning which is entirely typical of the genre, Lacan goes on to conclude that the erectile organ
. . . is equivalent to the V-1 of the signification produced above, of the/ou/ssance that it restores by the coefficient of its statement to the function of lack of signifier (-1).
We do not need the mathematical expertise of Sokal and Bricmont to assure us that the author of this stuff is a fake. Perhaps he is genuine when he speaks of non-scientific subjects? But a philosopher who is caught equating the erectile organ to the square root of minus one has, for my money, blown his credentials when it comes to things that I don't know anything about.
The feminist 'philosopher' Luce Irigaray is another who is given
whole chapter treatment by Sokal and Bricmont. In a passage
reminiscent of a notorious feminist description of Newton's Principia 2
(a 'rape manual'), Irigaray argues that E=mc is a 'sexed equation'. Why? Because 'it privileges the speed of light over other speeds that are vitally necessary to us' (my emphasis of what I am rapidly coming to
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learn is an in-word). Just as typical of the school of thought under examination is Irigaray's thesis on fluid mechanics. Fluids, you see, have been unfairly neglected. 'Masculine physics' privileges rigid, solid things. Her American expositor Katherine Hayles made the mistake of re-expressing Irigaray's thoughts in (comparatively) clear language. For once, we get a reasonably unobstructed look at the emperor and, yes, he has no clothes:
The privileging of solid over fluid mechanics, and indeed the inability of science to deal with turbulent flow at all, she attributes to the association of fluidity with femininity. Whereas men have sex organs that protrude and become rigid, women have openings that leak menstrual blood and vaginal fluids . . . From this perspective it is no wonder that science has not been able to arrive at a successful model for turbulence. The problem of turbulent flow cannot be solved because the conceptions of fluids (and of women) have been formulated so as necessarily to leave unarticulated remainders.
You don't have to be a physicist to smell out the daffy absurdity of this kind of argument (the tone of it has become all too familiar), but it helps to have Sokal and Bricmont on hand to tell us the real reason why turbulent flow is a hard problem (the Navier-Stokes equations are difficult to solve).
In similar manner, Sokal and Bricmont expose Bruno Latour's confu- sion of relativity with relativism, Lyotard's 'postmodern science', and the widespread and predictable misuses of Godel's Theorem, quantum theory and chaos theory. The renowned Jean Baudrillard is only one of many to find chaos theory a useful tool for bamboozling readers. Once again, Sokal and Bricmont help us by analysing the tricks being played. The following sentence, 'though constructed from scientific terminology, is meaningless from a scientific point of view':
Perhaps history itself has to be regarded as a chaotic formation, in which acceleration puts an end to linearity and the turbulence created by acceleration deflects history definitively from its end, just as such turbulence distances effects from their causes.
I won't quote any more, for, as Sokal and Bricmont say, Baudrillard's text 'continues in a gradual crescendo of nonsense'. They again call attention to 'the high density of scientific and pseudoscientific terminology - inserted in sentences that are, as far as we can make out, devoid of meaning'. Their summing up of Baudrillard could stand for any of the authors criticized here, and lionized throughout America:
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? In summary, one finds in Baudrillard's works a profusion of scientific terms, used with total disregard for their meaning and, above all, in a context where they are manifestly irrelevant. Whether or not one interprets them as metaphors, it is hard to see what role they could play, except to give an appearance of profundity to trite observations about sociology or history. Moreover, the scientific terminology is mixed up with a non-scientific vocabulary that is employed with equal sloppiness. When all is said and done, one wonders what would be left of Baudrillard's thought if the verbal veneer covering it were stripped away.
But don't the postmodernists claim only to be 'playing games'? Isn't it the whole point of their philosophy that anything goes, there is no absolute truth, anything written has the same status as anything else, no point of view is privileged? Given their own standards of relative truth, isn't it rather unfair to take them to task for fooling around with word-games, and playing little jokes on readers? Perhaps, but one is then left wondering why their writings are so stupefyingly boring. Shouldn't games at least be entertaining, not po-faced, solemn and pretentious? More tellingly, if they are only joking around, why do they react with such shrieks of dismay when somebody plays a joke at their expense? The genesis of Intellectual Impostures was a brilliant hoax perpetrated by Alan Sokal, and the stunning success of his coup was not greeted with the chuckles of delight that one might have hoped for after such a feat of deconstructive game playing. Apparently, when you've become the establishment, it ceases to be funny when somebody punctures the established bag of wind.
As is now rather well known, in 1996 Sokal submitted to the American journal Social Text a paper called 'Transgressing the Boundaries: towards
a transformative hermeneutics of quantum gravity'. From start to finish
the paper was nonsense. It was a carefully crafted parody of postmodern metatwaddle. Sokal was inspired to do this by Paul Gross and Norman
Levitt's Higher Superstition: the academic left and its quarrels with science, an important book which deserves to become as well known in Britain
as it already is in America. Hardly able to believe what he read in this
book, Sokal followed up the references to postmodern literature, and
found that Gross and Levitt did not exaggerate. He resolved to do something about it. In Gary Kamiya's words:
Anyone who has spent much time wading through the pious, obscurantist, jargon-filled cant that now passes for 'advanced' thought in the humanities knew it was bound to happen sooner or later: some clever academic, armed with the not-so-secret passwords ('hermeneutics', 'transgressive', 'Lacanian',
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'hegemony', to name but a few) would write a completely bogus paper, submit it to an au courant journal, and have it accepted . . . Sokal's piece uses all the right terms. It cites all the best people. It whacks sinners (white men, the 'real world'), applauds the virtuous (women, general metaphysical lunacy) . . . And it is complete, unadulterated bullshit - a fact that somehow escaped the attention of the high-powered editors of Social Text, who must now be experiencing that queasy sensation that afflicted the Trojans the morning after they pulled that nice big gift horse into their city.
Sokal's paper must have seemed a gift to the editors because this was a physicist saying all the right-on things they wanted to hear, attacking the 'post-Enlightenment hegemony' and such uncool notions as the existence of the real world. They didn't know that Sokal had also crammed his paper with egregious scientific howlers, of a kind that any referee with an undergraduate degree in physics would instantly have
detected. It was sent to no such referee. The editors, Andrew Ross and others, were satisfied that its ideology conformed to their own, and were perhaps flattered by references to their own works. This ignominious piece of editing rightly earned them the 1996 Ig Nobel Prize for literature.
Notwithstanding the egg all over their faces, and despite their feminist pretensions, these editors are dominant males in the academic lekking arena. Andrew Ross himself has the boorish, tenured confidence to say things like, 'I am glad to be rid of English Departments. I hate literature, for one thing, and English departments tend to be full of people who love literature'; and the yahooish complacency to begin a book on 'science studies' with these words: 'This book is dedicated to all of the science teachers I never had. It could only have been written without them. ' He and his fellow 'cultural studies' and 'science studies' barons are not harmless eccentrics at third-rate state colleges. Many of them have tenured professorships at some of America's best univer- sities. Men of this kind sit on appointment committees, wielding power over young academics who might secretly aspire to an honest academic career in literary studies or, say, anthropology. I know - because many of them have told me - that there are sincere scholars out there who would speak out if they dared, but who are intimidated into silence. To them, Alan Sokal will appear as a hero, and nobody with a sense of humour or a sense of justice will disagree. It helps, by the way, although it is strictly irrelevant, that his own left-wing credentials are impeccable.
In a detailed post-mortem of his famous hoax, submitted to Social Text but predictably rejected by them and published elsewhere, Sokal
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? notes that, in addition to numerous half truths, falsehoods and non- sequiturs, his original article contained some 'syntactically correct sentences that have no meaning whatsoever'. He regrets that there were not more of the latter: 'I tried hard to produce them, but I found that, save for rare bursts of inspiration, I just didn't have the knack. ' If he were writing his parody today, he'd surely have been helped by a virtuoso piece of computer programming by Andrew Bulhak of Melbourne: the Postmodernism Generator. Every time you visit it at http://www.
