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From the archives: The 1988 Nullarbor UFO Mystery – Solved

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This article originally appeared in The Skeptic, Volume 3, Issue 5, from 1989.

In January 1988, reports of UFO sightings over Australia’s Nullarbor region were widely reported in the Australian media. The editor of the Star ‘newspaper’ judged the story to be of sufficient interest to merit front page treatment in its January 22 edition. On the request of Popular Astronomy editor Ian Ridpath, retired meteorologist A.T. Brunt conducted an investigation into the sightings. This is his report.

Quite a few unusual lights have been sighted over Australia’s Nullarbor Region, but none have received the notoriety of the two 1988 incidents. There are no towns of any size between Ceduna and Norseman or Kalgoorlie (Figure 1); most are railway sidings or road settlements of just a few people. Although the Eyre Highway runs closer to the coast than the Nullarbor Plain itself, the whole area has become known as the ‘Nullarbor’. Between Madura and Eucla, an area known locally as ‘The Basin’, there is a line of 100m hills to the north, but east of Eucla the highway is located on higher ground.

A black and white line drawing of a map of the Nullarbor region of southern Australia. Two Xs mark the location of incidents discussed in the article, close to Madura.
In the top right is a representation of the whole of Australia with the Nullarbor shaded in black in the lower left. Below this is a zoomed-in view showing the Transcontinental railway running east from Kalgoorlie and through Forrest, Hughes and Denman. Below this, the Eyre Highway runs east from Norseman (north of Esperance) through the coastal areas of Madura, Mundrabilla Roadhouse, Eucla and east through Ceduna. Marked by a thicker line is the Great Australian Bight (an ocean bay with high cliff coast) south of this. The scale shows 0-300kms and roughly down the centre is marked the SA/WA Border.
Figure 1: Location map: area of incidents marked X

It really is a perfect area for ‘UFO’ spotting. The dry, desert conditions give rise to decreased cloudiness, there are no city lights to distract the spotter, road and rail traffic is fairly sparse and the horizons are so flat and wide. There is an awesome splendour about the night skies there that has to be seen to be appreciated.

A line drawing of a shape like a flower bud with a scribble in the centre, above a wobbly line. Drawn by a driver who was travelling eastwards on the Eyre Highway, who was forced into evasive action due to seeing a bright light that 'jumped about a bit' and that was shaped like 'an egg in an eggcup and about 1 metre wide'
Figure 2

The first of the 1988 incidents occurred about 4:20 am Central Daylight Saving Time (CDST) on 20 January, when the Knowles family was travelling eastwards on the Eyre Highway. About 40km west of the Mundrabilla Roadhouse, they saw a light over the road ahead of them. At first they thought it was the light from a truck approaching them from the east, but the light became brighter and bigger, frightening them into taking evasive action. The driver of the car said that the light appeared and disappeared ‘after jumping about a bit.’ He described its shape ‘like an egg in an eggcup and about 1 metre wide’ and its colour as ‘bright and white with a yellow centre.’ His sketch of its shape was included in newspaper articles (figure 2).

There were other vehicles within 30 or 40km but the occupant of only one, a truck driven by Graham Henley, reported seeing any unusual light. He was driving east some distance ahead of the Knowles’ vehicle and said he saw a light that was ‘too high up to be another truck or vehicle’, it was ‘white and yellow in colour’ and it ‘disappeared and reappeared’. The crew of a tuna boat fishing in Bight waters ‘hundreds of kilometres away’ also saw a strange light on the same night and it was elongated in the vertical, but no direction or elevation of this light was reported.

The Knowles family claimed that their car was picked up by the ‘UFO’ and as it was dumped, a tyre burst. They also claimed that a black ash covered the car and that there were indentations on the car’s roof. They drove off at high speed and were obviously very distressed and somewhat hysterical when first interviewed.

Their vehicle was subjected to thorough inspections on several occasions by the Police and various UFO research groups in Australia, but none of these inspections showed anything unusual about the car. There was no black ash inside or outside the car; the only addition was a black deposit on the metal rims of the two front tyres, which was consistent with material from the brake linings. The rear right-hand tyre had burst in a normal manner, such as one would expect from a vehicle driven at high speed, leaving some rubber marks on the wheel arch. The dents on the roof were insignificant, and there was no proof that they were not there before the event. So there was nothing mysterious, only the unusual, egg-shaped white and yellow light they saw. The second incident occurred about 1 a.m. Central Standard Time on 17 October 1988 in roughly the same area. There seems no doubt that the first incident helped to precipitate the second. A bus, driven by Mr Peter Chapman with 25 passengers on board, was travelling westward along the Eyre Highway about 20km west of the Mundrabilla Roadhouse. The driver saw a light on the righthand (northern) side of the bus and woke five of the passengers who also saw the light.

Newspaper reports said that the driver was ‘terrified’ but he evidently wasn’t sufficiently terrified to waken the other 20 passengers sleeping in the bus. He didn’t stop to observe the light, which he described as ‘a bright white light which appeared to be hovering about 20m above ground and giving the impression that the light was moving. ‘ He also said that ‘the bright light followed the bus for about 10 miles as they travelled at high speed to escape.

One passenger said she saw the light in the driver’s mirror; she thought ‘it was a reflection of the headlights of a transport behind the coach.’ The highway tends slightly south of due west in this sector and, with comments like ‘on the right-hand side’ and ‘in the rear-view mirror’, it does seem that the most likely direction of the light was from the north-east. No unusual effects on the bus and no unusual marks were reported. Also, there were no comments on the shape of the light which the driver said was ‘not bright enough to illuminate the bus or the surroundings’.

Investigation of the weather conditions prevailing at the time of these incidents showed that each was characterised by fairly cloudless and calm conditions, although such conditions resulted from differing meteorological situations. In order to find a factor which might be common to both incidents, their salient features have been extracted and listed in Table 1 for comparison purposes. Apart from the fact that they both occurred on the Eyre Highway west of the Mundrabilla Roadhouse, there seems to be nothing which one could say was definitely common to both incidents.

Feature20 Jan 1988 sighting17 Oct 1988 sighting
Location  About 40km W of the Mundrabilla RoadhouseAbout 20km W of the Mundrabilla Roadhouse
Time of yearSummerSpring
Direction of travel of observersEastWest
Likely bearing of lightFrom eastFrom north west
Shape of lightVertically elongatedNot specified
Claimed physical effectsCar lifted, black ash, etcNone
Prevailing weather conditionsStrong high pressure area W of Perth. Very pronounced ridge of high pressure along the whole southern coastline of W.A., extending as far east as Ceduna. 0-2 eighths low cloud, very light windsHigh pressure area of the head of the Bight. Almost cloudless. 1-2 eighths high cloud. Very light winds, e.g., Forrest E 2 knots  
Upper air temperatureTemperature inversion at For- rest 3800 to 5300 ft approx 5°. Greatest increase in temperature near the top of the inversion layer. Stronger inversion in the ridge of high pressure along the coast, e.g., Esperance 8°CMarked temperature inversion. 1000-1400 ft, 8°C at Forrest. Greatest change of temperature near bottom of inversion layer    
Table 1 : Comparison of the 1988 incidents

That is, until the upper air temperature profiles are examined. In each case, the nearest temperature sounding (Forrest, about 1 00km to the south) showed a marked temperature inversion – that is, warmer air overlying colder air. These soundings are shown in Figures 3(a) and 3(b). Again, one can pick out differences in the two profiles, but the fact remains that on both occasions there were marked departures from the usual temperature decrease with height.

Figures 3a and 3b are two line graphs of Air temperature profile 7 am 20/01/88. On the Y axis is Height (thousands of feet) and X is unlabelled, starting at 0 and with an 8 after two half ticks or one major tick, with 7 major ticks in total.
The lines begin at 8 on X and 10 on Y then move down and to the right, with some switching back as they go.
Figures 3a and 3b

The meteorological situations are interesting. The surface weather chart for 6 am CDST 20 January 1988 (Figure 4) shows a pronounced ridge of high pressure extending along the whole of the southern coastline of Western Australia from a High centred well west of Perth. This is quite unusual for a summer chart. The ridge was over 1000km in length and, as ridges associated with subsiding air and increased stability, it is understandable that the Forrest inversion was not an isolated one. In fact, inversions were evident over the whole 1000km (plus) length of the ridge from Ceduna to the SW corner of Western Australia, but they were much stronger along the coastline; for example, at Esperence the inversion was 8° C.

Figure 4, a weather chart for 6 am CCST 20/1/88. The surface weather is shown by isobar lines on the black and white map. A Ridge of high pressure is noted, from a High point in the west, and a Trough to the right, moving north from the Low in the lower right. The High pressure ridge follows the coastline past Forrest and to Ceduna.
Figure 4: Weather chart for 6 am CDST 20/1/88

The surface chart for 3 am CST 17 October 1988 (Figure 5) is a little different. It shows a large high pressure area over the head of the Great Australian Bight, again with evidence for widespread inversions over the Bight area. All the evidence showed that the inversion at Forrest was representative of the area where the sighting took place.

Figure 5: a weather chart for 3 am CST 17/10/88 showing a large high pressure area over the head of the Great Australian Bight. The black and white map is marked with isobars
Figure 5: Weather chart for 3 am CST 17/10/88

The refractive properties of inversions have been described in many meteorological texts, but, in view of the general lack of knowledge about meteorological optics (even among scientists) it is appropriate to summarise what refraction does in the lower levels of the atmosphere.

We all know that light travels in straight lines provided the medium is homogeneous. For most of the time, the atmosphere acts as a homogeneous medium, but there are exceptions when sharp discontinuities in the vertical structure of the air cause aberrations in the straight line path. And one of the main discontinuities is a pronounced temperature inversion when there is a sharp density difference in the air above and below the inversion. This causes refraction and the path of light is bent downwards, giving the impression that the object is seen much higher than it really is.

For example, the wave fronts from a distant light source on the Earth’s surface will be quite regular until the upper part of the wave front passes through the inversion. Here the temperature is higher, the speed of light is fractionally greater, and this part of the wave front is speeded up. Such a distorted wave front (upper part speeded up, lower part retarded) may reach an observer in a suitable position and his eyes see an image (normal to the wave front) in a position which is well above where the surface light source actually is. Such an image is known as a superior mirage (see Figure 6).

Figure 6 - diagram of how a 'superior mirage' is created. On the left, a car is travelling to the right along the surface, below an inversion layer of air, itself below the higher, less dense air. The car's line of actual sight is drawn in a solid line, but when it passes through the inversion layer, the perceived sight continues straight on the diagonal trajectory (shown by a dotted line, which connects with the superior mirage, a bright light in the sky). Following the solid sight line, there's a truck coming from the right, whose lights are creating the mirage as it drives up a hill ahead of the car, coming towards it.

The Glossary of Meteorology defines a mirage as ‘a refraction phenomenon wherein an image of some object is made to appear displaced from its true position.’ The key word is ‘displaced’, but it is important to realise that distortions of shape, colour, size and intensity also occur. These distortions obviously make identification of the object more difficult.

Even under the most steady meteorological conditions with a simple temperature profile, when it is possible to see a good identifiable mirage for many minutes, it should be stressed that the air is moving and the path taken by the light reaching the observer’s eyes is subject to changing meteorological conditions. When the temperature profile is more complex, multiple images may appear, some in grossly distorted forms with unusual colouring. Some of the distorted forms can fool even those quite used to the characteristics of refracted images.

When either the observer or the object is in motion, the images can appear and disappear quite rapidly or they can seem to perform rapid gyrations creating the illusion of extraordinary spacecraft. In addition, interference between incident and refracted rays can produce complicated mirages whilst focussing of the rays can ‘cause bright and dazzling images which jump about or even disappear at the slightest movement.’

When an inversion is horizontally extensive, such as in a long ridge of high pressure, it is possible for light rays to be bent several times following the shape of the earth’s surface, in much the same way that radar ducting takes place. When there is a wide horizon and an extensive inversion, it is possible to see the mirage of a light which may be 100-150km away. The light is usually on the earth’s surface but the refracted image (often distorted) can appear as a light at low elevations in the sky.

It is important to remember that the atmosphere can act as a lens under refractive conditions and the size and intensity of images can be magnified many times. The magnification can be so great that large objects, like mountains or islands have be ‘seen’ at sea over verified distances of up to 1000km (The Marine Observer, 1981). Each instance of long-distance mirages is associated with a pronounced and widespread inversion, such as those found in long ridges of high pressure.

Some of the best examples of refracted lights in Australia would be the ‘Min-Min Lights’ of Queensland. Invariably, there is never a sound or any physical trace when these ghostly lights are seen bobbing up and down above the treetops. In each case, there is ample evidence for a marked inversion and the direction of the ghostly light fits in with the direction of a distant stretch of highway, sometimes 100-150km away. The brighter lights come from truck spotlights at high beam (used to avoid kangaroos and wandering stock), but Min-Min lights have been known to be caused by distant cars. These bizarre lights in the sky are never seen on windy nights, or cloudy nights, only on the occasions when it is fairly calm and clear, the atmosphere being stable enough for inversions to occur.

And the Nullarbor lights are the same. You will never see them on windy or cloudy nights. On clear, calm nights passengers waiting at sidings on the long, straight transcontinental railway line have reported seeing the light of an approaching train for at least an hour before it actually arrived. At the normal train speed of 110 km per hour, people must be able to see the headlight of a train which would be at least 110km away at the time. It first appears as a light in the sky and only in the last 10 to 15 minutes does it ‘come to earth’, as it were. Australian National Railways advise that, at high beam, these lights are of approximately 2000 candle power; no wonder their refracted lights can be seen at such great distances over the flat Nullarbor. The Brown Mountain UFOs (Klass 1974) are good examples of refracted lights from American trains, but in much more irregular country.

The very scattered road traffic over the Nullarbor must also generate mirage-like lights in the sky, particularly some of the interstate trucks which are specially equipped for night travel. Campers on the Nullarbor report strange lights at times, some of which could perhaps be attributed to activities at the Woomera rocket range. It is interesting that one of ·Australia’s best hoaxers, the Nullarbor Nymph (Geniece Brooker Scott) spent many nights posing as a wild girl living with kangaroos and confirmed that she has seen lights in the sky; she said ‘they could be meteorites or satellites-or something else!’

To return to the 1988 incidents. The unusual lights seen on both occasions were obviously refracted images of distant light sources, because both occasions were associated with pronounced temperature inversions. If additional confirmation is needed, the light seen on 20 January 1988 ‘jumped about a bit’ typical of refraction focussing and was elongated in the vertical, which fits the towering type of distortion one would expect from the inversion shape on that particular night. The inversion on 17 October 1988 should have given rise to a squat (horizontally elongated) image, but Mr Chapman did not specify its shape.

It is one thing to be confident about refraction causing an image in the sky, but quite another to find out what actually caused the light which was refracted. So much depends on the attitude of the light source and the height and strength of the inversion that it is difficult to specify what distance would result in the type of focussing necessary to produce a bright and dazzling image.

Let us consider the observed facts on both occasions. The Knowles family on 20 January saw the light to the east which they ‘first thought was a truck approaching from the east’. There were no bright astronomical bodies in that direction and the sun was 29° below the horizon; besides, its azimuth was 145°. There were, however, several vehicles, both eastbound and westbound on that section of the Eyre Highway at the time (Basterfield and Brooke, 1988). Although some of the other drivers reported no unusual lights, it should be remembered that this is typical of refracted lights.

It is difficult to determine which vehicle was in the correct position to permit focussing of the refracted light and cause a ‘bright and dazzling image’, but one cannot rule out a westbound vehicle descending into Eucla (100km to the east) because of its elevated position. A vehicle at that distance would not have been considered to be part of the incident.

This leads to the conclusion that the first impressions of the Knowles family were correct, ie, that it was indeed ‘a truck approaching from the east’. It was the distorted image of its headlights which was so frightening and bizarre. All the other things that happened to their vehicle were either of their own doing or their own imagination whilst in a state of fright, as none of their claims in this regard were substantiated by inspections of the vehicle.

The vertically elongated image observed by the crew of the tuna boat on the same night would obviously have been from a different light source. Nevertheless, the tuna boat was still near the ridge of high pressure and the same widespread inversion would have covered its position. So they too would have observed a refracted light in the sky but, without any direction indicators, it would be impossible to say what the light source was. The most obvious choice is another ship.

In the second incident, the light appeared to be ‘hovering about 20m above the ground’ and ‘on the right-hand side of the bus’, the most likely direction being from the north east. Basterfield (1988) identified the light source as being the planet Jupiter and indeed its position (azimuth 040°, elevation 26°) seems correct, especially as the observation was made over a line of low hills and the sky was almost cloudless. There is no doubt that refraction in the inversion layer would have changed this normally bright light into a distorted and enlarged image. In addition, it was recorded that the driver and passengers were aware that they were almost exactly in the area of the first incident nine months earlier and they certainly would have been looking for lights.

It is interesting that Australian National Railways advised that there was a westbound goods train between Denman and Hughes, approaching the WA/SA border at the precise time and date. The bearing of this light was 040° from the sighting position but the distance (170km) puts it slightly out or range, especially in view of the line of 100m hills between the headlight of the train and the observer. Nevertheless, mirages have been observed over that distance. In view of the fact that the bus driver and the passengers saw only one light, it must have been the planet Jupiter. They would not be the first to call planets ‘UFOs’; this is quite easily done when refraction distorts their normal shape and intensity.

So, if anyone is looking for UFOs (strange lights) they should certainly try the wide open spaces of the Nullarbor. But stay near the highway as this is the best producer of unusual lights. Never choose windy nights or cloudy nights; it is necessary to have the faintly calm, clear nights which are indicative of inversion conditions when refraction occurs. Best of all, choose a night when the high pressure centre is near you or a long ridge of high pressure extends over you. Even though there is a roadside sign near the WA/SA border warning travellers to beware of UFOs, it is hoped that you will be better informed. There are quite a few occasions each year when pronounced inversions cover the area, so be on the look-out for them. However, the type of refraction focussing such as the Knowles family experienced is much rarer; the light source has to be at the right focal length and the height and length of the inversion have to be just right for a large dazzling image to appear.

If you see a strange light, stop, note the time and take rough bearings of the direction and elevation whilst watching its movement, reporting this to the nearest police. There is no need to be alarmed or to panic like the Knowles family; no-one has ever been hurt by such lights. Rest assured, we are not being invaded by extra-terrestrial beings from wherever-the unusual lights are naturally occurring refraction phenomena. Many of the ‘UFO’ interpretations seem to come from people who ignore the known wonders of our atmosphere; they seem to be unaware that science fact is much more wonderful than ‘UFO’ fiction.

References

  • Basterfield, K. & Brooke, R., The Mundrabilla Incident – January 20th 1988, UFO Research Aust. Newsletter, April 1 988.
  • Basterfield, K., The Mundrabilla. ‘UFO’ of October 17th 1988, UFO Research Australia., 1988.
  • Corliss, W. R., Handbook of unusual natural phenomena, Sourcebook Project, USA, 1 977.
  • Humphries, W.T., Physics of the Air, McGraw-Hill Book Co., London, 1929.
  • Klass, P. J., UFOs Explained, Random House, New York, 1976.
  • Sheaffer, R.S., The UFO verdict, Prometheus Books, Buffalo, 1981.
  • The Marine Observer, Vol. 61, No. 1 ,232, April 1971.
  • Viezee, W., ‘Optical Mirage’, extract from Scientific study of UFOs, Condon, E., Bantam Books, 1969.

IQ tests continue to flourish, in spite of inherent biases, because we so badly want to feel special

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This article originally appeared in The Skeptic, Volume 3, Issue 5, from 1989.

Mensa hit the news in August when they launched a search for Britain’s 1,000 brightest children in the Sunday Times. Later, they admitted this was a ‘stunt’ to attract media attention. They may have gotten more than they wanted: on 14 August the Independent reported that educational psychologists said the tests Mensa was administering were “culturally biased towards white, middle-class children” and pointed out that “the test assumes that intelligence is based on the ability to read, write, spell, and do arithmetic. Einstein and Leonardo da Vinci, two of the greatest brains to ever have lived, both suffered from dyslexia.”

This is neither the first time Mensa has searched for so-called ‘gifted’ children, nor the first time IQ tests have been criticized. And yet, we continue to believe, paranoiacally, in IQ test scores, and a society based on them continues to exist. This is not sour grapes on my part: I was trawled in just such a child-testing exercise when I was 14. This is, by the way, a matter of deep embarrassment on my part, so I do hope you won’t tell anyone…

Same routine: Mensa supplied a test to be taken at home, supervised by parents. Those who passed went on to some sort of central testing place where the tests were supervised by Mensa’s flunkies. It’s hard to see why people think testing at home encourages cheating. Since you have to take a supervised test afterwards, where would cheating get you? Certainly in my parents’ house these things were taken very seriously, and no trickery went on. I found the test ridiculously easy, and was sent on for the supervised tests.

I remember my mother posted my final score and my letter of acceptance from Mensa on the refrigerator, proudly. I was enrolled, and I began getting Mensa newsletters. I think I went to one meeting. It was all adults: Mensa had no idea what to do with the 14-year-olds they had recruited. When I was 17, a new friend said rather forcibly that the idea of Mensa was snobbish and, worse at that time, ‘straight’. I resigned, over my father’s protests: “I like reading the newsletters!” I told him he should join himself. I guess he thought he wouldn’t qualify even though he always used to say, “you got it from somewhere, you know.”

View of a test paper with someone's hand writing on it - a white student holds a red and black pencil in their right hand and is writing on the test paper on a cream-coloured desk
A student taking a test writes their answers with a pencil

People talk in the British press about the damage that being labelled ‘not clever’ could cause. I had the opposite problem: I was an ‘underachiever’. I could think quickly and score well on standardized tests, so why wasn’t I an ‘A’ student? My IQ test scores pursued me like an animated yardstick in a cartoon. Of course, the school would never tell me what they were. I’m not sure why, but I gather asking what your own IQ score is, is about like asking someone else what their age or income is. I guess they figure, if you know, you might tell someone. Such is the power of the IQ score.

Mensa should acquire two books for its library: Stephen Jay Gould’s The Mismeasure of Man and David Owen’s None of the Above: Behind the Myth of Scholastic Aptitude. Both are classics of critical thinking about the science of intelligence. Both call into question some of the basic assumptions we make about intelligence, aptitude, and education.

Gould’s book traces the history of science’s attempts to measure intelligence, from measuring skulls, to weighing brains, to test scores. Over and over, white, middle-class male scientists found that white, middle-class male brains were biggest, strongest, quickest. And regularly, a little while later, along came someone else who proved that their work was faulty, biased, and sometimes even fraudulent.

Into the fray came Binet, the grandfather of IQ testing. His assignment was to devise a test which would identify children with learning disabilities so they could be helped. That was all. He specifically said, according to Gould:

The scale, properly speaking, does not permit the measure of intelligence, because intellectual qualities are not superposable, and therefore cannot be measured as linear surfaces are measured.

Gould, p. 151

Binet foresaw the potential difficulties for children if his system were used to rank them, as it is now. He worried about self-fulfilling prophecies:

It is really too easy to discover signs of backwardness in an individual when one is forewarned.

Binet refused to label the results of his tests as inborn intelligence. His successors in America, however, seized on mass intelligence testing as a way of life, and abused the results in exactly the ways Binet had foreseen. And a few he had not: the results of the first mass intelligence tests, conducted by the US Army in World War I, were used as evidence in favour of limiting immigration in 1924 Congressional debates.

David Owen’s book concentrates on a later outgrowth: the SATs. These ‘Scholastic Aptitude Tests’ are taken by all American teenagers who want to go to college. The idea behind them sounds all right: America is huge, State curricula differ, and colleges need some way of comparing the many applicants from different areas and different schools. So far, so good.

Owen, however, shows – often hilariously – that what the SATs really test is your ability to think like the people who designed the test. He explains how the questions work, how to identify the correct answers without doing the arithmetic, and even gives a short course in how to answer questions about the content of the provided paragraphs without actually reading them.

The SATs are administered by the Educational Testing Service in Princeton, NJ. Most students assume a connection with Princeton University; there is none. The ETS is an independent, secretive organization which has parlayed tests into a fortune (tax-free) and which administers more tests every year.

ETS now supplies tests for licensing teachers, hairdressers, golfers, among many others, and for admitting graduate students, law students, and medical students. It’s quite an empire. ETS reacts a bit like the British government when challenged: they claim superior knowledge, refuse to give information, and lose inquiries in red tape. They also accuse critics of wanting to destroy the fabric of society. A bit excessive, perhaps.

Fortunately, America has a legal system which allows challenges even to its major institutions. Recently, a court ruled that New York State’s use of SAT scores to award state scholarships discriminates against girls. This was the first time a court has ever confirmed the SATs sex bias. Result: New York State is designing a new test. Oh, well…

The criticisms these books raise are biting, legitimate, and undoubtedly right on the money. And yet… it’s very hard to shake the nervous feeling that there must be something in it: it’s so accepted. What would I rather believe? That I think exactly like the unoriginal, conservative, middle-class white men who design the tests? Or that I really am smarter than 99% of the rest of the population?

When I was a kid, I had a button which was an advertising gimmick for General Electric: “Be nice to me, I’m going to be a GEnius someday.” I guess I’m still working on it.

From the archives: The many traditions of Christmas that are now lost to history

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This article originally appeared in The Skeptic, Volume 3, Issue 5, from 1989.

Of all the traditional festivals we celebrate each year, Christmas is one of the richest in terms of its customs. It is a time for rituals – some relatively modern, like Christmas Cards and Christmas Trees, and some exceedingly ancient, such as exchanging gifts and hanging decorations. There’s the build up to Christmas (“how many shopping days is it now?!”), and then there’s the aftermath. Christmas is one of the most important events in the year, and almost everyone will, to some extent, have some part to play in its customs.

The origins of our modern Christmas are ancient: in antiquity the winter solstice was celebrated on the 25th day of December, as the ‘Birthday of the Unconquered Sun’. This midwinter festival was a joyous time marked by festal fires to celebrate the slow departure of Winter, and to usher in fertility and good fortune. It was only around the beginning of the 4th Century that Christianity assigned the Nativity of Christ to the date of the existing pagan festival. The revamped festival soon absorbed influences from other sources, including those of the Germanic midwinter feast of ‘Yule’. By the 11th Century ‘Christ’s Mass’ had solidified into an uneven fusion of the Christian Nativity with Yule, Roman and pagan customs.

Many of these traditional elements were condemned as superstitious by the Protestant Reformation. Today, recognisable pieces of pagan ritual still remain: the mumming plays, with their pre-Christian themes of death and resurrection; sword dancing and wassailing.

One pagan practice that has nearly died out is the wearing of animal disguises at the Winter festival. In this country the custom lives on in the ‘Mari Lwyd’ Hobby Horse of Llangynwyd, with its hinged snapping jaws and bottle-glass eyes. Mari Lwyd visits the houses of the village wassailing – drinking toasts and singing the health of everyone on the route.

A Mari Lwyd 
Creator: R. Fiend 
Copyright: © Mari Lwyd, R. Fiend via Wikicommons CC BY-SA 3.0
A Mari Lwyd horse skull from Wales, a horse skull on a pole with bells and ribbons and a white sheet. Creator: R. Fiend, via Wikicommons CC BY-SA 3.0

Memories of the ancient Fire Festivals live on with the Yule log. One Christmas Eve tradition, now sadly in decline, was to carry the new Yule log into the house and set it alight with the remnants of the previous year’s; it was commonly believed that to burn the log for twelve hours or more would ensure that the following year would be free of misfortune, and that the charred remains of the Yule log could preserve the house from fire, storms and lightning.

Another custom with extremely ancient origins is the decoration of buildings with greenery during the Christmas period. Today we buy our Christmas decorations man-made, pre-cut and shrink-wrapped; but whatever their form, evergreens such as holly, ivy and mistletoe have long been symbols of life and fertility, and their presence at midwinter festivals serves to ensure that life will return again.

The Church has found a convenient context for these fundamental beliefs: the berries of the holly symbolise the blood of Christ, and its prickles His Crown of Thorns. Mistletoe, however, occupies a special place. It has long had sacred and magical associations (it was the Golden Bough of classical legend) and to the Church it remains thoroughly pagan – by tradition it is never allowed to hang in a place of worship. For a long time mistletoe was the centrepiece of the ‘Kissing-Bough’, a large garland of greenery and ornaments which was hung from the ceiling of the main living-room.

Surprisingly, the Christmas tree is a relatively new tradition; originally of German origin, it spread to America in the 18th century, before coming to England, it is thought, in the early 1800’s. Queen Victoria and Prince Albert had their first tree in 1841, and its popularity soon spread.

Most areas have their own local Christmas customs; an interesting example is ‘Tolling the Devil’s Knell’, which takes place every Christmas Eve at All Saints’ Church in Dewsbury, West Yorkshire. The tenor bell sounds a stroke for every year since Christ’s Nativity – with the final stroke coinciding exactly with the first chime of midnight. Christ is born and Satan is dead – but every year the Devil tries to reappear, and one extra chime must be sounded to banish him, or he will return to plague the parish for the next twelve months.

But for all its fascination, Christmas is still a time better experienced than discussed. As an old Cornish Christmas Wassailers’ song has it:

            Ask not the reason, from where it did spring;
            For you know very well, it’s an old ancient thing

I hope you enjoy your customs this year – whatever they are – and a very Happy Christmas to you all!

Folklore and rituals say so much about society, even if the superstition behind them isn’t true

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This article originally appeared in The Skeptic, Volume 3, Issue 5, from 1989.

“If you’re so skeptical…” a colleague said to me the other day. I wondered what I’d said, what sort of hole I’d dug for myself, what incriminating evidence I was about to face. “If you’re so skeptical, why do you believe in all that folklore rubbish? People dancing round maypoles, wearing antlers, dressing wells with flowers and bearing rushes? What’s it supposed to achieve? Good luck? Prosperity? A fruitful harvest? In this day and age, it’s ridiculous. Why don’t you and your lot tell them it’s all rubbish?”

“Me and my lot”? I felt like a hit-man in some sort of skeptical Mafia. But did she have a point? In one sense, I think she did. For instance, I cannot honestly believe that the locals in the Helston Furry Dance in Cornwall are really driving out the darkness of Winter and welcoming in the luck of Summer. Nor can I believe that the bizarre South Queensferry Burryman – covered from head to toe with sticky thistle burrs – keeps the town in good fortune as long as his annual Parade is observed. And I cannot believe that whoever draws the Cream of the Well – the first water – on New Year’s morning will be certain of good luck in the coming year.

Two men in uniform flank a central 'Burry Man', a Scottish traditional dress in which a man is covered in burrs, hat covered in flowers and a sash made of a folded Royal Standard of Scotland, showing the red dragon on a yellow background. He holds two  waist-high poles decorated withh leaves and flowers (to support himself as he walks). Image by Michael Mabbott.
John Nicol, South Queensferry’s current Burry Man, takes a rest in full regalia supported by his two attendants (2007). Credit: Michael Mabbott. Source: Wikimedia Commons, Creative Commons Attribution-Share Alike 3.0 Unported.

Having said this, why, last New Year, was I the First Foot – the dark-haired man standing in the cold outside the front door at a minute to midnight, with a penny in my pocket, a lump of coal in one hand and a piece of bread in the other? If I don’t believe and if, as I suspect, many others who take part in customs don’t believe, why do we all do it?

The answer, of course, is that there is far more to ritual than a claimed supernatural result. Rituals in themselves cannot affect the material universe, but they can have great importance and meaning for individuals, and for society.

So can we believe and not believe, at the same time? Bergen Evans, in his classic book The Natural History of Nonsense says that “we function on a dozen different levels of intelligence”. He is surely correct, but – call me a traitor if you will – I find his relentless cut-and-dried exposure of human error and stupidity wearisome. Naturally I don’t think that birds choose their mates on St Valentine’s day, but it’s such a lovely idea…

Coincidentally, the previous evening I had watched The Wicker Man, an obscure (but now cult) film from the early seventies. In it, Neil Howie (Edward Woodward) is a devoutly religious Presbyterian police sergeant and lay preacher who has been called to a remote Scottish island – Summerisle – to investigate the disappearance of a young local girl. In fact, there is no missing girl; Sergeant Howie has been chosen for his special qualities and lured to Summerisle for a quite different reason. The island’s fruit and crops have failed, and one more failure would mean disaster for the island.

According to the tradition of the island, a sort of folky druidic mish-mash served up by Lord Summerisle – Christopher Lee at his full height – there is only one solution: to appease the Goddess of the Sun and the Orchards with the dreadful sacrifice of a true Christian believer. Sergeant Howie is imprisoned in a huge wickerwork pyre in the shape of man, and burns to a martyr’s death.

It’s a good yarn, with the subtle twist that you’re never quite sure whether Lord Summerisle really believes in what he’s doing. Is the ‘religion’, with all its traditional elements of hobby-horse, fool and teaser, a religion at all? Is it genuine folk-memory, of the kind – albeit free of sacrifice – that survives to this day around the country? Or is it all a cynical manipulation by Lord Summerisle?

It is interesting to consider the question of why we sometimes accept and do things which – if we try to intellectualise – appear hard to justify. However you care to explain it, the fact is that ordinary people do get up to extraordinary things.

From the archives: Perpetuum mobile – the fruitless search for perpetual motion

This article originally appeared in The Skeptic, Volume 3, Issue 3, from 1989.

The promise of a machine which runs forever, a perpetual motion machine, is irresistible. Perpetual motion was a hot topic in the last century, because the age of the engineer was at its height and the demand for new energy sources great. It is no coincidence that the science involved was worked out at this time; yet even today, over a century later, people continue to propose machines which don’t work.

The reason for the enduring popularity of perpetual motion is of course the dream of conjuring energy from nothing. Were this feasible, all coal-fired power stations, with their carbon dioxide and sulphurous emissions, could be closed; likewise, nuclear fission power plants, with their radioactive waste; and the need to disfigure the landscape with arrays of solar cells or windmills would vanish. The enormous sums spent on energy research could be redeployed, and cheap energy made readily available to developing countries. The inventor of a free energy source would be feted throughout the world.

Perpetual motion proposals are of two types, and the distinction is crucial. A Perpetual motion machine of the first kind actually creates energy. Some of this is inevitably rendered inaccessible through friction losses in bearings, or air drag on moving parts, or the like; but the rest is available to the world as free energy. By contrast, a perpetual motion machine of the second kind neither creates nor destroys energy. It runs forever by completely eliminating friction in the bearings, air drag, and such; but any attempt to extract energy from it causes it to slow down.

These two types of machine respectively contravene the first and second laws of thermodynamics. The first law states that energy is conserved, and the second that entropy increases. More on these in a moment.

Most publicity attaches to perpetual motion proposals of the first kind. Their proponents generally agree with scientists as to the laws of force and torque operating within their machines. The law of force was first elucidated by Isaac Newton three centuries ago, and states that Force=Mass x Acceleration. Similarly, angular acceleration is proportional to the applied torque.

Once it is accepted that undisturbed motion is a body’s natural state, that it alters its velocity (i.e., accelerates) only when a force is acting on it, and that slowing down is not the natural state but the result of frictional forces, the path to Newton’s laws is easy and intuitive. It nevertheless took a genius of Newton’s magnitude to overthrow the Aristotelian model of space and time.

But, crucially, the same people do not accept that the force and torque laws also imply conservation of energy. This makes good sense: no force, no velocity change, no energy change. But in a complicated machine the same principle is one step further removed from the forces and torques which people can feel, and is often beyond untutored intuition. I am told, with a don’t-blind-me-with-science look, ‘Maybe, but what is wrong with my machine?’ Perpetual motion advocates, having once got into a physicist’s office, are reluctant to leave until a lengthy impasse is reached.

One catch occurs so often it is worth singling out. Perpetual motion machines, in common with many others, a.re almost invariably cyclic; after sufficient operation, called a cycle, the machine returns to its initial configuration. A wheel making one complete turn is the simplest example. (Cyclicity is a matter of convenience, since a non-cyclic machine would be difficult to exploit.) In evaluating cyclic machines, it is essential to consider the energy balance over a complete cycle. Cyclic machines with an obvious acceleration mechanism in one part of the cycle, but a subtle deceleration process in another, are particular favourites.

Even more subtle are those machines which interchange energy between its various forms: motion, heat, latent heat of evaporation (the ‘drinking bird’, a popular toy), electromagnetism, and so on. Some of the subtleties are quite ingenious, but if physics is operating as it has been understood for three centuries, the catch is inevitably there somewhere.

Perpetual motion machines of the second kind, though less commercially attractive, are no less interesting. Moreover, they exist! From Newton’s laws it follows that an isolated system in motion, with no forces or torques acting on it, exhibits precisely perpetual motion of the second kind. How can this be reconciled with the running down of a top due to the friction at its tip? The answer is that the energy has not been destroyed, but converted into heat at the tip. Since heat is motional energy of the atoms in the tip, we could still see continuing motion if our eyesight were good enough. The motion is therefore perpetual, though on an atomic scale rather than an everyday one. We say the energy of the top has degraded into heat, and this process translates into physics through the second law of thermodynamics. It is a consequence of our inability to see things on the atomic scale, rather than a fundamental property of nature like the first law.

A further subatomic example of the second kind is electrons orbiting the atomic nucleus. Obviously, there is no air resistance! Because of the peculiarities of the quantum theory of atomic processes, we can no longer picture the process simply. Nevertheless, the criterion for perpetual motion of the second kind is still satisfied: verifiable predictions are not altered unless the system is disturbed. In other words, the electron does not ‘run down’. Energy conservation still holds good in quantum mechanics.

A large-scale example is the earth orbiting the sun. Meteorite strikes and other external influences, which affect the motion, are separate issues. Clearly perpetual motion of the second kind is common on celestial and atomic scales, but rare on Earth. However, we now know how to set up a simple quantum state as large as we like. The secret is to cool the system sufficiently near to absolute zero. The most famous example is superconductivity, currently in vogue, in which an electric current circulates in a wire loop with zero resistance, needing no battery to drive it. Although the current itself is still invisible, its effects are observable. Another example is superfluidity, in which a liquid flows up the inside of a tube immersed in it, and back down the outside, indefinitely.

How do these systems beat the second law? This law is ultimately only probabilistic reasoning, used in the absence of detailed information about each atom. Since we normally ask questions only about large-scale quantities, the enormous number of atoms being averaged over guarantees our answers accurate with almost total certainty. (Entropy relates to the amount of information needed to specify the system at the atomic level.) In the examples just given, we are dealing not with millions of particles, but with one electron, one planet, one known quantum state. Our reasoning then is exact; the second law is a different form of reasoning used in different circumstances. Proposals which violate the second law, all ultimately equivalent to impossible heat engines, tend to be more subtle than proposals of the first kind.

Finally, for theory, conservation of energy still holds in Einstein’s theory of relativity, provided that mass m is seen as a further form of energy E, related by the famous equation E = mc2 where c is the speed of light. Because this is so large, mass is a very concentrated form of energy: we can do 300 million times better by converting the mass of a tank of petrol than by burning it! The complexity of nuclear reactors indicates the difficulty of transforming mass into accessible energy. But if, conversely, we invest energy in making antimatter, we have the perfect fuel, for antimatter spontaneously converts to readily accessible energy when mixed with matter. Just one tenth of a gram of antimatter, safely confined, would propel a car for life!

We now turn to the entertaining history of perpetual ‘motion. Arthur Ord-Hume’s book, Perpetual Motion: the History of an Obsession (Allen & Unwin, 1977), gives a modern survey.

Today it is difficult to imagine a time when energy conservation was not firmly established, and the equivalence of different forms of energy, particularly heat, was fiercely debated. Yet that was the situation up to the middle of the last century; and earlier still, before Mayer, Joule and Helmholtz settled the first law, and Carnot and Clausius the second, perpetual motion proponents should be judged by their own times.

A Sanskrit manuscript from the first half of the fifth century refers to a wheel, free to rotate about a horizontal axis, with sealed holes drilled in radially from the circumference, part filled with mercury. Once started. the wheel was supposed to maintain its rotation. Presumably its inventor fell for the ‘cyclic’ fallacy, believing that the extra moment, due to the mercury on the descending side of the wheel moving under centrifugal force to the circumferential end of the tube, provides sufficient impetus to keep the whole thing going.

This is the earliest known coherent suggestion for perpetual motion. It is also the prototype of many proposed in Europe, in which weights attached to the circumference of the wheel dispose themselves further from the axis on the descending side of the wheel than the ascending.

Some of these were marvellously intricate, and the Marquis of Worcester; who is believed to have constructed the first practical steam engine, claimed success for one in 1655. (‘Worcester’s biographer, Henry Dircks, published in 1861 a comprehensive survey of the preceding three centuries of perpetual motion.)

This was pre-dated by the Italian philosopher Zimara, who in 1518 proposed a crank (inoperable, incidentally) for linking a windmill to a set of bellows aimed at it. Interconversion between forms of energy, here wind and mechanical energy, is a characteristic concept of perpetual motion. Perpetual motion was eminently respectable during the Renaissance: contemporary with Zimara, Leonardo da Vinci was involved in drafting sketches for six designs. By far the most common proposals concerned self-propelling water wheel. The water mill was the dominant mechanical device in Europe; what could be more natural than to harness its power to raise the water once more. The aptly named Robert Fludd ‘1574-1637), an English physician, and Georg Bockler, of Nurnberg, were two leading visionaries of this kind. It mattered little that John Wilkins, Cromwell’s brother-in-law and later Bishop of Chester, tested a similar scheme unsuccessfully during the Civil War, and pronounced his scepticism in 1648. Perpetual motion was in the air of the time. Wilkins, in fact, continued to be fascinate by perpetual motion to the end of his life.

The decline of a great many superstitions in the Age of Reason left perpetual motion untouched, for it could still be phrased as a scientific hypothesis. Indeed, proposals proliferated from the 1720’s onwards. The 18th century also saw the first clock to be powered by changes in atmospheric pressure, giving an illusion of perpetual motion, by the London clockmaker James Cox. It now rests in the Victoria & Albert Museum.

In the last century, while the laws of thermodynamics were being established, the harnessing of electromagnetism led to a new series of proposals. These all essentially coupled motors back to generators. In fact, the earliest coherent magnetic proposal goes far as back as 1570, when a Jesuit priest suggested that an iron ball, rolling down a ramp under gravity, could be drawn back along a different path by a magnet. We now know that any magnet strong enough to do this would keep the ball from rolling in the first place.

The combination, last century, of the mechanic explosion and popular ignorance led to exploitation and fraud. E.P. Willis, a machinist of Connecticut, charged admission to view an asymmetrical-wheel machine, which he set up in New Haven and subsequently New York. It was maintained in a glass case and was actually powered by compressed air passed up a strut and over one of the gears. Willis simply challenged viewers to state hew the machine could run, rather than claim perpetual motion.

No such constraints attached to Charles Redheffer, who in 1812 set up a machine in Philadelphia which ran unceasingly. Needless to say, viewing was not free of charge. A team of experts sent to examine it in connection with Redheffer’s application for funding detected that the wear on two connected gears was on the wrong side, and were satisfied that fraud was involved. They did not detect its nature, but instead built a similar machine with concealed clockwork, and a winder disguised as an ornamental knob. Redheffer privately offered its owner, Sellers, a large sum to reveal his secret. Instead, Sellers denounced Redheffer. Worse was to come in New York, where Redheffer, undaunted, built a further machine. The submarine pioneer, Robert Fulton, recognised its uneven speed through one cycle as characteristic of a crank (appropriately), and denounced it on the spot. He then dismantled a suspicious-looking support strut to reveal a catgut-belted drive, run by a man turning a wheel in a nearby room. The crowd, which had paid $5 a man, then a large sum (ladies free, for some reason) demolished the remainder, and Redheffer fled.

Perhaps the finest fraud was perpetrated by John Keely, again of Philadelphia, In 1875 he unveiled a complicated variant on the steam engine, into which he would blow for half a minute and then pour in five gallons of water. After a whizzbang show of manipulating various valves and taps, he would then announce that the apparatus was charged with a mysterious vapour, at a pressure of 10,000 pounds to the square inch. Keely claimed that the power source was the disintegration of water. Latterday enthusiasts prefer, like Keely, to tap new forms of energy, rather than deny its conservation. This is theoretically possible but it is highly unlikely that easily exploitable new forms will be found.

The main reason for Keely’s success—he raised over a million dollars to set up the Keely Motor Company—was showmanship. Keely was an imposing figure with an air of honesty, who was given to baffling the uninitiated with phrases like ‘hydropneumatic pulsating vacu engine’, ‘sympathetic equilibrium’, and ‘quadruple negative harmonics’. Such pseudoscientific terms are often used by today’s charlatans; plus ca change! With men of science Keely was more guarded, and took pains to ensure none cot examine his machines closely.

In the 1880’s the Keely Motor Company, discouraged by his failure to produce a commercial motor, cut off his funding. He found an alternative source in a wealthy widow, and promptly unveiled a new idea: vibrating energy in the aether, which underlay the disintegration of water. The Motor Company sued him for reimbursement, but he claimed his latest idea was unrelated to earlier ones and refused to pay. After a spell in prison, he succeeded in satisfying the courts of this. Keely was forced to tread warily when his benefactress attempted to have leading scientific figures validate his device. Testa and Edison declined, but a visit in 1805 led the engineers involved to suspect compressed air sources. They were right. After Keely’s death three years later, the son of one of his backers promptly rented the house, and found it was comprehensively ‘wired’ to a three-ton air tank in the basement.

The first patent on a perpetual motion proposal was granted in Britain in 1635. only twelve years after patenting was introduced. By 1775, the Parisian Academy of Sciences was refusing to accept schemes. Since this was long before the establishment of energy conservation, the gentlemen of Paris can only have been disillusioned by the repeated failure of all such devices in practice. Nearly a hundred years later, the US Patent Office decreed that a working model should be submitted within one year of the initial application; but enthusiasts still gummed up the works, and finally, in 1911, a working model was demanded from the start.

This rule has, inevitably, been challenged in the courts within the last decade, with inventor Howard Johnson finally winning US patent 4151431 on his `magnetic motor’. Nevertheless, the world hardly waits with bated breath. The current furore over Joseph ‘Newman’s motor, which supposedly taps into hitherto unknown gyroscopic fields associated with sub-atomic particles, further demonstrates that perpetual motion will never die away entirely. (Present-day physics successfully predicts the spin properties of elementary particles to a staggering one part in a hundred million, which is as far as experiments have gone.) However, Newman’s device runs, it has proved subtle enough to confound several scientists. The story of perpetual motion exemplifies the entire human endeavour: an upward crawl to enlightenment, with theory and practice advancing side by side; momentous discoveries by pioneers, which become the bedrock on which the next advances are built; gradual diffusion of the new ideas into general awareness; and ever the self-deluded, and the charlatans preying on ignorance.

The story has been presented here as a case history rather than a warning, but if any lesson is to be drawn it is that the best insurance against nonsense is a scientifically educated public. It is faintly credible that the US Navy came close to backing one machine in 1881; but astounding that less than four years ago a jury acquitted a perpetual motionist of fraudulently raising $685,000, because (the attorney later found) it believed perpetual motion and energy creation possible. The sooner that cannot happen, anywhere, the better.

From the archive: Pyramids, pyramyths and pyramidiots

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This article originally appeared in The Skeptic, Volume 3, Issue 3, from 1989.

How can such a simple shape inspire so much nonsense?

What is a pyramid? Is it a polyhedron whose base is a polygon and whose sides are triangles having a common vertex? Well, yes, it is, but it is far more than that. The pyramid, which in its megalithic manifestation played a very important role in the histories of two early civilisations. has excited more speculation and fantasy than has any other solid geometrical shape. Cubes and dodecahedrons have never had the press of the pyramid.

Before we investigate some of the more fantastic myths that have attached themselves to pyramids, we should review some of the facts which, to the inquiring mind, are far more fascinating than the fantasies.

The Pyramids of Egypt

The heading of this section is the title of the book widely regarded as the definitive work on the topic. Written by I.E.S. Edwards, keeper of Egyptian antiquities at the British Museum from 1955-72, this book presents the facts in a most readable form and is the reference for the archaeological information in this article.

The history of Dynastic Egyptian civilisation covers more than 3,000 years, of which the Pyramid Age accounts for fewer than 500, although this form of construction continued, in a much-debased form, for a further 500. There are more than 80 known pyramids in Egypt, some of which are so ruined as to appear only as heaps of rubble.

It is not surprising that many people have exercised their imaginations to speculate on the purpose of these massive stone structures and on the methods used in their construction. Although there is much that is unknown about the Egyptian pyramids there can be little doubt that they were built according to funerary rites of the Egyptian religion and that the construction methods used were quite possible within the limits of technology of the time.

The Egyptian religion was firmly based on the existence of an afterlife, which depended for its continuance un the protection of the mortal remains of the former citizen. In pre-dynastic times, important people were buried under a mound of sand the shape of which seems to have gained some religious significance. During the First and Second Dynasties this mound was made more elaborate and became a rectangular, decorated mud brick structure, called a mastaba. Naturally enough, the mastaba of the Pharaoh was the most imposing, although many fine examples have been found of those of nobles and officials.

In the Third Dynasty, circa 2680 BC, the Pharaoh of the time, User, was fortunate in having as his Chancellor, one Imhotep, who is credited with the building of the first pyramid (and, incidentally, the world’s first large stone building). Imhotep was deified by later Egyptians, possibly the first recorded instance of someone ‘coming up through the ranks’.

It is tempting to speculate that Imhotep thought to himself one day ‘If I put another mastaba on top of the first one and then another on top of that, until I reach six, then my Pharaoh will be much more important than his old Dad’, but excavations of Zoser’s Step Pyramid reveal that many changes in design occurred during its construction.

First, an unusual square mastaba was built in the unusual material of stone. Then it was added to, in various stages, until it became rectangular, then built upwards to become a four-step pyramid, then extended on two sides and upwards to become a six-step pyramid, which was its final form. All of this indicates that there was no sudden infusion of new ideas from ‘somewhere else’ that suddenly changed ‘primitive’ Egyptians into brilliant engineers and stonemasons, a theory beloved of the more irrational speculators on matters Egyptian. It is clear that Imhotep was an unusually intelligent man but it is equally clear that his ideas did not spring from mysterious sources. His learning curve is inscribed in stone.

From the first step pyramid, we can trace the development of this form of architecture through the first true pyramid, to the apogee of pyramid building, the Great Pyramid of Khufu at Giza. This is the one about which all the fantasies have been constructed and it certainly is a remarkable piece of engineering. The first notable fact about the Great Pyramid is that the time which elapsed between the invention of pyramid architecture by lmhotep and the construction of this, the largest and best of them all, was only a little over a century.

The Great Pyramid is unique in many ways. When it was built. it was the heaviest building (at around 6 million tonnes) ever built. It still is. It consists of approximately 2.3 million blocks of stone, with an average weight of 2.5 tonnes. Its base is 227 metres square, accurate to within 20 cm on each side. Its original height was 150m, although the top 15 m have disappeared. It is accurately aligned to the four cardinal points, with its least accurate side, the east, diverging by only 5′ 30″ from true north-south, which, for a civilisation that had no compass, was not bad.

Its base covers 13.1 acres, its sides make an angle to the ground of 51′ 52″ and it was built using technology no more sophisticated than the lever, the roller, the inclined plane, stone and copper tools, intelligent minds and hard work.

We should clear up a few popular misconceptions at this stage, misconceptions largely propagated by the works of wilfully ignorant authors such as Erich von Däniken, who surely must hold the distinction of being more wrong about more things than any other person on Earth.

The Egyptians were not primitive people at all. They were every bit as intelligent and sophisticated as we are today, and, although their technology was simple, it was adequate for the task and they were expert in its application.

The Egyptians did not use slaves to build the pyramids but citizens who were paid in food for their work (there is even evidence that the Egyptians invented the strike for better wages). We know that the expert work on the pyramids was carried out by a full-time team of craftsmen, and we can assume that much of the heavy labour was carried out by unskilled ‘casual labour’, probably the local farmers who had nothing to do while their land was inundated by the annual Nile flood.

The Egyptians moved large blocks of stone on wooden sleds, pulled by teams of men with ropes. Von Däniken would have us believe at the Egyptians had no rope and that wood was in short supply because ‘trees did not grow in abundance along the Nile’. Both statements are lies. Many ropes have been found in Egyptian tombs, and the Egyptians used a lot of wood, much of which they acquired on trade with neighbouring countries, and many examples of which have been found.

The Egyptians did not carry out human sacrifice in dynastic times (although there is some evidence that pre-dynastic Egyptians did) and there is no evidence that live humans were sealed in pyramids with their dead Pharaoh. This latter is almost certainly Hollywood invention.

Mummification was carried out for the purpose of preserving the remains of Egyptians for the afterlife and not, as von Däniken would have it, for resurrection by returning astronauts. The techniques of mummification are available to us in some considerable detail, from existing texts. The internal organs were removed and stored separately from the body, and the body was treated with various salts and resins and wrapped in linen.

All of this may have been counter-productive, as some older mummies of earlier Egyptians, merely buried without treatment, have survived better than those of Pharaohs. The evidence suggests that desiccation caused by interment in dry sand is a far better preservative than any of the treatments given to pharaonic corpses.

What really gives the lie to von Däniken, how-ever, is the fact that the brain was removed in pieces, through the nose, and not preserved. The Egyptians believed that the heart was the seat of the soul, and that the brain was not of particular importance. In the case of von Däniken, this may well be true.

Motivation

We will look further at some of the fantasies that have been built around the Great Pyramids later, but first let us consider ‘why build a pyramid in the first place?’

The answer to that is that we do not know. There are many logical hypotheses (and many more illogical ones) but there is no doubt that the purpose was of a religious nature. It may be that the pyramid was seen as a ‘stairway to the heavens’ for the dead Pharaoh to ascend to his rightful place alongside the sun god.

There is not direct evidence that the pyramids were the actual burial site of the kings, as no pharaonic remains have ever been found inside or under a pyramid. The pyramids may have been built as a memorial and not as a tomb, although, in the absence of direct evidence, the latter purpose seems to be more likely.

One hypothesis, proposed by German-British physicist Kurt Mendelssohn, postulates that the existence of the pyramids was secondary to the fact of their construction. Mendelssohn proposes that the rulers of the recently unified Egyptian kingdom needed some work of national importance to weld together the various regional groups into a cohesive and centralised state. Mendelssohn’s theory, propounded in his book The Riddle of the Pyramids, argues this case very well and, whether true or not, it is certainly logical and it does explain some of the mysteries that surrounded these giant structures. This hypothesis falls within the parameters of reasonable speculation, as do many others associated with a period of history which, while better documented than many other ancient eras, is far from comprehensively understood.

What surviving texts tell us about the ancient Egyptians is at considerable variance with the popular mythology that surrounds them. They were practical and intelligent people, not given to excessive mysticism which is an error generated by the fact that the majority of surviving literature is concerned with death, which in turn is explained by the fact that their tombs survived the millennia in far better shape than did their mundane dwellings.

Although there is clear evidence that the Egyptians had sufficient knowledge of astronomy to enable them to devise an accurate calendar, and thus to be able to predict their most important annual event, the flooding of the Nile, there is no suggestion that they developed astrology, a fact that should endear them to all skeptics.

In general, the Egyptians come down to us as remarkably likeable people, with little of the cruelty and brutality that characterises so many ancient civilisations, and not a few modern ones.

We do not know why the pyramid became such an important structure to the Egyptians, but there may be a clue in the sheer pragmatism of the shape. Once the decision is made to build on a monumental scale, the pyramid makes the most sense to people who had not devised arches or free-standing columns. Once you build a pyramid, assuming you do it properly, it tends to stay put. Staying up is far simpler than falling down for a well-built pyramid.

We should also address the claim commonly made by those who know nothing of Egyptian history and culture and who seek to achieve wealth and fame by writing books which are firmly rooted in that ignorance. This claim is the ‘it would be impossible for us today to build the Great Pyramid’.

This claim is both arrant nonsense and likely to be true—nonsense because the reasons cited for the claim lie in techniques the Egyptians were alleged to have and that are no longer available to modern people, and true for an entirely different reason in that it would be hard to conceive of a politician or company director convincing the electorate or the board of the desirability of expending so much wealth on an intrinsically useless structure. (Prince Charles’ opinions on modern British architecture notwithstanding) This question is addressed in Ronald Story’s book Guardians of the Universe? A Japanese construction company estimated in 1980 that the cost of erecting a replica of the Great pyramid, using modern techniques, would be £250 million. If the labour-intensive methods employed by the Egyptians were used, then the cost would approach £18 billion. It would be a brave government indeed that would suggest pyramid building as a cure for unemployment.

As for the ‘lost’ techniques, there is plenty of physical evidence of how the Egyptians chiselled the stones, carried them to the site, used ramps to get them to the necessary elevation and moved them around when there. What techniques have been lost?

Yet another mystery which bedevils the proponents of paranormal explanations is how the concept of pyramid building sprang up in two widely separated cultures as those of Egypt and Central America. The suggestion is that Egyptians colonised Central America and taught the Indians how to do it. This suggestion is difficult to sustain when we consider a few facts.

The Central American pyramids were designed for an entirely different purpose to those of Egypt—ceremonial rather than funerary. All Central American pyramids are at a lower angle than the Egyptian and were designed to be climbed after construction to the temples located on top of them. In the case of the Aztecs, human sacrifice seems to have been the major activity carried out on the pyramids, although this probably was not the case with the Maya.

Methods of construction differed greatly from those used by the Egyptians and, generally, the Central American pyramids were not used for monuments or burial, although one has been found to contain a body of some important person.

The crucial fact that makes any cross-cultural exchange seem to be unlikely is that the earliest pyramids of Mexico are the so-called Temples of the Sun and the Moon at Teotihuacan, about the builders of which little is known, but who have been identified by some mystics as the Lost Tribes of Israel (who else!). These pyramids are comparable in size to those of Egypt, and arc dated at just before the beginning of the Christian era. It would seem to be highly implausible that Egyptians, at the final stages of their long history, would venture halfway around the globe and then teach the natives a technology that they themselves had abandoned nearly two millennia earlier. It is far more likely that the practical significance of the pyramid shape for large construction appealed to two different cultures, neither of whom had developed the arch, quite independently.

We can dispose of the absurd pseudoscientific claims of ancient astronauts, time travellers and remnants of pre-existing high-tech civilisations as espoused by the likes of von Däniken by a simple examination of the facts which have been discovered by genuine archaeologists and other scientists. Such claims can be put down to wilful ignorance on the part of their proponents. Of more interest are some of the weird cults that read mystical significance into the measurements of the pyramids, particularly those of the Great Pyramid of Khufu.

Pyramyths and Pyramidiots

It would appear that the driving force behind the desire to mix measurement with Biblical prophecy, that drove many 19th century British authors to ascribe unwarranted significance to the Great Pyramid, was a distaste for the metric system of measurement, introduced after the French Revolution. No self-respecting and God-fearing Briton was going to take this example of atheistic Frog perfidy lying down. (Readers of middle years or older may have some sympathy with this view.)

Among the first to address this problem was a retired publisher, John Taylor, who believed that the pyramid had been built by Noah, to God’s specifications, and who decided that 25 inches was the size of the Biblical cubit.

Taylor was the first to realise that the dimensions of the Great Pyramid suggested that the Egyptians had knowledge of the ratio pi (π; the ratio of the circumference of the pyramid to its height gives fairly accurate ratio of 1/2π). As it is known that the Egyptians had not developed mathematics on a theoretical level to that extent, this convinced Taylor that the Great Pyramid was divinely inspired and presented a genuine problem to more scientifically inclined scholars.

One possible explanation that has been advanced is that, if the Egyptians used a rolling drum to measure long distances, then pi would have become part of the computation quite fortuitously and Egyptians would have discovered the ratio without being conscious of the fact. Whatever the truth of the matter, Taylor, who was an adherent of the proposition that the British were descended from the Lost Tribes of Israel, was convinced that the Pyramid had been built by these proto-Britons. Obviously, the Egyptians could not have done it, as they were worse than the French. Taylor’s ideas were taken up by no less a personage than the Astronomer Royal for Scotland, Charles Piazzi Smyth. (The real mystery in this story is how someone with such a foreign sounding middle name got to be Astronomer Royal.) Smyth had been a pupil of Sir John Herschell and, like Herschel! and Taylor, he objected to the use of the metric measurement systems, which may help to account for some of the extraordinary theories he later propounded.

Finding that one of the casing stones of the Great Pyramid was approximately 25 inches, equal to Taylor’s cubit. Smyth decided that the inch (one twenty fifth of a cubit and approximately one 10 millionth part of the Earth’s polar radius) must have been the divine unit of length. When it was discovered that the original casing stone was a bit over 25 inches (25.025 in fact), Smyth proposed that the ‘Pyramid inch’ of 1.001 was the actual divine unit (the British unit presumably got worn down a bit in the pocket of one of the Lost Tribesmen).

Of course, it did serve to prove that the British measurement system was divinely inspired, which was one in the eye for those nasty French. Smyth used the pyramid inch and various other measurements made at the Great Pyramid to calculate the density of the Earth, its population and, for all we know, the winner of the third at Ascot.

It is obvious that, given the number of measurements one could make in a huge structure like the Great Pyramid, and with suitably preconceived ideas, one can come up with any answers one likes. This Smyth did.

His book, Our Inheritance in the Great Pyramid, contains over 600 pages of these calculations and predictions. The big problem was that all of this was theory—no actual dimension of one pyramid inch has been found. This was put right when Smyth, on a visit to Egypt, found a mason’s boss on a slab of stone and declared it to be the Divine Standard. The ‘science’ of Pyramidology was now firmly established. It survived the revelation that one of Smyth’s followers had been caught trying to file down the boss to make it more accurate and the discovery that surviving Great Pyramid casing stones were all of different sizes.

With the bit firmly between his teeth, Smyth and his many followers, who included the founders of the Jehovah’s Witnesses, using his Pyramid Inch decided that various internal structures of the Great Pyramid were a record of the past history of the world (naturally beginning in 4004 BC), and that was not all. Further measurements showed that the future history of the world was also contained in the stones. The end of the world was variously predicted as happening in 1874, 1914, 1920 and 1925.

As with all failed predictions, when it does not happen you revise the data to get a new date (see Nostradamus). What Smyth and his followers were doing was bending the data to achieve their preconceived outcomes, a practice still followed by many practitioners of the paranormal.

Smyth could multiply any dimension by a suitably large number and come up with a significant measurement, such as the distance to the sun derived from the height of the pyramid (481 ft x 1000 million = 90 million miles). Not very accurate, and certainly not as accurate as God or a space travelling ET would know them, but they certainly fooled the customers.

Unfortunately for Smyth, like an earlier personage of Egyptian fame, he was nursing a viper in his bosom. His theories, largely because of his position, were treated with a degree of respect that they obviously did not deserve. One of his most ardent supporters was a chemical engineer, who along with his son, decided that to further refine Smyth’s theories more accurate measurements were needed to be made on site. These two set to work to design more accurate instruments to make the measurements as exact as possible. As this took a long time, the engineer finally decided that he was too old to travel to Egypt and his son was sent out alone. He conducted several very accurate triangulations of the site and succeeded in proving conclusively that Smyth was talking through his hat (chapeaulallia?).

The young man, William Matthew Flinders Petrie, stayed on in Egypt to become the greatest Egyptologist of his time and to be regarded by many as the father of scientific archaeology. He was, incidentally, the grandson of the explorer of Australia’s coastline, Matthew Flinders.

The fact that Smyth was wrong has done nothing to dissuade a lot of people from believing his predictions and his theories continue to be recycled to this day.

Pyramid Power or Much Ado About Nothing

All of the foregoing can be explained by the inability of some people to accept that ancient civilisations were capable of carrying out major works of construction or that these monolithic structures are intrinsically useless.

The next stage in the saga of pyramidiocy leaves the world of tangible pyramids and enters the realm of pyramid shape. More particularly, we will look at the effect of pyramids on the shibboleth of the New Age, ‘energies unknown to science’, or ‘euts’ as we will refer to them for typographical reasons.

It was probably inevitable that someone, sometime, would hit upon the idea that the pyramid itself had something to do with the process of mummification. This idea flies in the face of all the evidence of how mummification was carried out, including the records left by the Egyptians themselves, but it is in accord with the thinking of those who persist in seeing a problem where none exists.

Martin Gardner, in his entertaining book The Magic Numbers of Dr Matrix, traces the first reference to this idea to the early years of the twentieth century. At that time. a ‘French occultist’, as Gardner describes him, discovered that a dead cat became mummified after being placed in a model pyramid. As there appeared to be no great call for mummified cats in the ensuing half century, no more research seems to have been carried out.

Then, in the late 1950s, a Czech named Drbal claimed that a razor blade placed under a cardboard pyramid retained its edge for longer than would normally be expected.

Next, we find that various film actors (who may well be the descendants of the Lost Tribes of Israel) claim to be able to meditate better while sitting under a pyramid. Others have claimed that foodstuffs kept in a pyramid retain their freshness, wishes come true when written on paper and placed in a pyramid, pyramids kill bacteria. This is all remarkable stuff, if true, but how true is it?

Let us first consider euts, whether they obey rules, and how a pyramid might channel them.

Whenever a pseudo-scientist or a paranormalist is challenged to explain some phenomenon that science decrees to be highly improbable, he responds with euts. While not wishing to suggest that there are no such things as euts, we are not very encouraged to believe in them by the claims made for them.

It appears that they can do anything and are not governed by any rules at all. Proponents of pyramid power have claimed that pyramids can, inter alia, mummify flesh, preserve food in natural state and re-sharpen razor blades. It would appear, to the casual observer, that these three acts call for three different applications of energy.

To mummify flesh presupposes an ability to remove water molecules; to sharpen razor blades requires the ability to either add or remove metal atoms; and to preserve food means preserving the status quo. As the material from which the pyramid is constructed does not appear to effect any of these processes (they are available in cardboard, wood, polystyrene, copper, polycarbonate, steel and many other materials) and as they appear to have no con¬trol systems, how is the required process determined? Can the euts itself decide that the object in the pyramid is a razor blade or a dead cat?

If that is so, and that appears to be the only logical conclusion that follows from the claims, then we ap-pear to be dealing with some form of sentient energy. This is an extraordinary concept and would require far more persuasive evidence for its existence than is offered by its proponents. Imagine the problems Einstein would have faced with relativity if gravity could think for itself!

Next, we ask, ‘What is inherent in the pyramid shape that allows it to channel this energy when tidier geometrical solids do not?’ We do not hear about Cube Power or Sphere Power (although this article may generate such thoughts in some minds—it has happened before). The answer is that there is nothing about a pyramid that should give us reason to suppose that this shape holds a privileged position in the world of solids. Far more likely that the proponents of this fallacy are seduced by the supposed mysteries of the Egyptian pyramids and that as a result have invested the shape itself with mystical powers.

There is no reason to believe that pyramids exert some sort of influence on energy, be it known or unknown to science. This, of course, would not matter if there were examples of tests that ‘proved’ the opposite. However, while there are many references in the ‘pro’ literature to such tests, it is difficult to find reference to any properly conducted tests that give factual results rather than subjective opinions. Those tests that have been conducted using a double Hind methodology give no comfort to the proponents of pyramid power.

In a test of French wine, as reported in the Winter 1987-88 edition of the Skeptical Inquirer, wine kept in pyramids was judged to be no different in quality from wine not so stored.

Proponents of pyramid power must fall back on the only rule that ems are known to obey. This is the law that states ‘No paranormal event will occur in any location that contains a sceptic’. This law is better known by its common title of ‘The Psychic’s Cop-Out’, which explains a lot of things other than the failure of pyramids to perform.

To conclude this section on pyramid power, we should refer to the influence of American author and respected sceptic, Martin Gardner, on the level of belief in this unlikely form of energy.

In a satirical article in the June 1974 edition of Scientific American, Gardner made a number of outrageous claims for the powers of pyramids, which were being promoted by his character Dr Matrix. Gardner was astonished at the amount of mail generated by his article, from people who were seeking more details of how pyramids could help them.

Some of Gardner’s tongue-in-cheek claims still form part of the lore of pyramid power, so do not be surprised if cube or sphere power become New Age phenomena in the future.

Although there is nothing particularly mysterious about pyramids, they certainly have exerted an influence upon the imagination of many people for millennia.

Merely reading about how people from early civilisations set about the tasks of construction and how modern people have wrested the secrets from the stones appeals to our romantic instincts. It makes us realise the remarkable mental and physical accomplishments of which the human species is capable and has been capable since the beginning of recorded history. It also makes us realise just how limited must be the imagination of those who cannot take pride in the accomplishments of our species and who must invent super beings to take credit for what humans have done.

As skeptics, we should not resent such people as Erich von Däniken, Charles Piazzi Smyth and the many others. We should pity them for the narrowness of their vision and the meanness of their spirit.

From the archives: Hear our prayers – the Northern Irish prayer efficacy study

This article originally appeared in The Skeptic, Volume 3, Issue 3, from 1989.

A few months ago, The Skeptic reader Cyril James wrote to me asking if I could track down a reference he had seen in New Scientist to a Northern Irish study of the efficacy of prayer. I suggested he write to ask the author of the original piece. Recently, Mr James wrote again to say that the author — Martin Schatzman — had written back promptly and obligingly with details.

Schatzman enclosed a couple of pages from P.B. Medawar’s Induction and Intuition in Scientific Thought, published by Methuen, 1969 (and the American Philosophical Society, 1960). These refer to a study by Francis Galton in 1872. Galton’s purpose in writing his Statistical Inquiries into the Efficacy of Prayer (published by the Fortnightly Review, 1 August, 1872) was, Medawar says, to show that a scientific study could be done.

Galton chose three different lines of enquiry. First, he examined the effect of prayers upon the longevity of the Queen and other members of the royal family (they are, one must presume, prayed for a great deal). Then he compared the rates of stillbirths between the devout and the professional classes generally. And third, he considered the fact that insurance companies make no inquiry into the devoutness of applicants for policies.

Galton found that, excluding accidental and violent deaths, in fact the Royal Family live a shorter time than the other classifications he examined. In all fairness, I have to point out that the clergy live longest of all the groups listed in his table!

He compared stillbirths reported in the clerical newspaper The Record and in The Times, and found the rates the same. And Galton pointed out, “How is it possible to explain why Quakers, who are most devout and most shrewd men of business, have ignored [the considerations of whether the insured-to-be is devout and prays daily], except on the grounds that they do not really believe in what they and others freely assert about the efficacy of prayer?”

Mr James adds that his wife worked for thirteen years as a night nurse in a cancer hospital, and noticed over time that prayers said by and for those under her care made no difference to their survival rate. A hospital chaplain Mr James heard on BBC Radio 4 had noticed a similar effect. and was disturbed to find, when he took careful notes, that he had confirmed it.

Mr James finished up by commenting on the appearance of one of the British Archbishops on television, when said clergyman commented about prayer that, one, Yes you can pray, but don’t expect anything to happen’ and two, ‘Just because you believe something doesn’t make it true.” I have myself been told that ‘you can’t bargain with God,’ and ‘you can’t just ask for birthday presents.”

I remember a devout person I knew explaining: ‘God won’t always give you what you ask for—it might not be good for you.’ (Do we know unequivocally that death is a bad thing? Remember the Afterlife.) In which case, since God knows what I need, why pray at all, except to say generally, “Thy will be done.” Which, if God’s up there, it will be anyway.

One must presume, therefore, that the efficacy of prayer lies in the person’s feeling of contact with Someone Up There who knows what’s going on. In very hard times and frightening circumstances, that sense of reassurance may be a cause for atheists to envy the faithful.

From the archives: In the eye of the beholder – Keeping an eye on iridology

This article originally appeared in The Skeptic, Volume 3, Issue 4, from 1989.

A skeptic has a duty to society and to himself to be a doubter, not an unbeliever; willing to investigate the most bizarre of claims or supposed happenings and to apply care, discretion and judgement to whatever evidence may be presented. At the end of the day he should be satisfied that his conclusion has been fairly arrived at after scrupulous investigation.

For instance – Acupuncture. This extraordinary discipline has been practised and investigated over a long enough period that it should no longer be uncertain whether it is a proven scientific medical method which works or just another old wives’ tale or superstition-an example of how the unscrupulous take advantage of the ignorant and unwary. But are we in fact so sure? It seems utterly absurd to believe that numbers of needles stuck into various parts of the body can influence the course of an illness or induce insensibility or anaesthesia. But it is a medical tool which has been in constant use in China for over two thousand years and is in common use today. There are one billion Chinese. Can they all be wrong?

What would be your immediate and automatic reaction if told that the irises of both human and animal eyes, are directly linked with the body’s internal economy and that one’s wellbeing or otherwise is indicated by marks and lines showing in your irises? And that such guide lines conform with an ordered system that can be mapped and interpreted as an early warning to determine that you are in fact suffering from a condition-or its early onset-of which you were unaware?

It is a fact that the condition of the blood vessels in the interior of the eyeball indicate symptoms of certain diseases – diabetes and cancer being the most obvious – but there are no claims that particular locations within the eyeball are related to specific parts of the body. It is reasonable to accept that if one suffers from a disorder of the blood or lymphatic system, or a condition where foreign substances or microscopic growths are suspended in the blood and circulate throughout the body, expert examination of the eye where blood vessels can be inspected, will betray by their appearance that there is a problem. An ophthalmic specialist who inspects eyes every day will notice unusual symptoms and recognise the signature of various diseases.

Such investigations however are surely very different from the suggestions of the iridologists that every degree around the circle of the iris corresponds exactly with specific organs and parts of the body, so that should a person (or animal) break a leg a mark will show in a particular sector of the iris, enabling a practitioner to diagnose problems and suggest treatments or remedies.

The eyes may mirror the soul but how many readers believe that the soles may mirror the body? This is what another way-out quasi-medical ‘science’ and treatment known as reflexology would have us believe. Is there really any proven basis for belief that certain areas of the soles of the feet relate to other parts of the body? To this writer such suggestions are on a par with the claims of psychic practitioners and mystics who claim to be able to detect the whereabouts of a missing person or body by looking at a map-or the Uri Geller type claims to locate existence of precious substances and valuable deposits in the earth either by examining maps or flying over the territory. · These practices are really not far removed from ‘fortune telling’ by inspection of the soles of the feet or palmistry. I’d just as soon rely on the Tarot-much more fun too.

Once the door to such beliefs is opened even a crack, numbers of similar weird possibilities are disclosed, each mutually supportive and claiming positive results. Nevertheless it behoves us not to prejudge but to examine the evidence. If our readers find this subject sufficiently intriguing, we hope they will submit their views, supported by evidence wherever possible. Who knows, we may even contribute to the ever-growing store of human knowledge.