Posts Tagged ‘Pluto’

History Debunked Refutes Ethnomathematics/Rehumanizing Mathematics

September 8, 2020

This is another video from History Debunked. In it, youtuber and author Simon Webb attacks Ethnomatics, sometimes also called Rehumanizing Mathematics. This is a piece of modern pseudo-scholarship designed to help Black children tackle Maths. The idea is that Blacks perform poorly compared at Maths compared to other ethnic groups. This is held to be because Maths is the creation of White men, and this puts Blacks off studying and mastering it.

The solution has been to scrutinise African societies for their indigenous Maths, especially the Dogon of Mali. They have been chosen as the chief model for all this, as they possessed extremely advanced astronomical and mathematical knowledge. In the 1970s there was a book, The Sirius Mystery by Robert K.G. Temple, which claimed that they owed this advance knowledge to contact with space aliens. Apparently this claim was subsequently dropped 10 – 15 years later, and the claim made instead that they were just superlative astronomers and mathematicians themselves. But Dogon Maths is held to be different from White, western Maths because it’s spiritual. History Debunked then goes on to demonstrate the type of pseudo-scientific nonsense this has lead to by providing a link to an Ethnomathematics paper and reading out its conclusion. It’s the kind of pretentious verbiage the late, great Jazzman, Duke Ellington, said stunk up the place. It’s the kind of postmodern twaddle that Sokal and Bricmont exposed in their Intellectual Impostures. It’s deliberately designed to sound impressive without actually meaning anything. There’s a lot of talk about expanding cognitive horizons and possibilities, but History Debunked himself says he doesn’t understand a word of it. And neither, I guess, will most people. Because it doesn’t really mean anything. It’s just there to sound impressive and bamboozle the reader into thinking that somehow they’re thick because they don’t, while the fault is entirely the writers.

I think History Debunked is a man of the right, and certainly his commenters are Conservatives, some with extremely right-wing views. He’s produced a series of videos attacking the pseudo-history being pushed as Black History, and apparently Seattle in America is particularly involved in promoting this nonsense. But he expects it to come over here in a few years. Given the way Black History month has jumped the Atlantic, I think he’s right.

There’s been a particular emphasis on find ancient Black maths and science for some time I know. For a brief while I got on well with a Black studies group when I was a volunteer at the slavery archives in the former Empire and Commonwealth Museum. That was before I read their magazine and got so annoyed with it and its attitude to Whites that I sent them a whole load of material arguing to the contrary, and pointing out that in places like the Sudan, Blacks were being enslaved and oppressed not by White Europeans, but by the Arabs. I also sent them material about the poor Whites of South Africa, who also lived in grinding poverty thanks to Apartheid. This was stuff they really didn’t want to hear, and I was told that if I wanted to talk to them further, I should do so through someone else. They were also interested in finding examples of Black maths and science. I sent them photocopies and notes I’d made of various medieval Muslim mathematicians. These were Arabs and Persians, like al-Khwarizmi, who gave his name to the word algorithm, Omar Khayyam, best known in the west for his Rubayyat, but who was also a brilliant mathematician, al-Haytham, who invented the camera obscura in the 12th century and others, rather than Black. But they were grateful for what I sent them nonetheless, and I thanked me. This was before I blotted my copybook with them.

I’m reposting this piece because, although it comes from the political, it is correct. And you don’t have to be right-wing to recognise and attack this kind of postmodern rubbish. Sokal and Bricmont, the authors of the book I mentioned early attacking postmodernism, were both men of the left. Sokal was a physicist, who taught maths in Nicaragua under the left-wing Sandinista government. They wrote the book because they took seriously George Orwell’s dictum that writing about politics means writing clearly in language everyone can understand. And even if you believe that Black people do need particular help with maths because of issues of race and ethnicity, Ethnomathematics as it stands really doesn’t appear to be it. It just seems to be filling children’s heads with voguish nonsense, rather than real knowledge.

I also remember the wild claims made about the Dogon and their supposed contact with space aliens. Part of it came from the Dogon possessing astronomical knowledge well beyond their level of technology. They knew, for example, that Sirius has a companion star, invisible to the naked eye, Sirius B. They also knew that our solar system had nine planets, although that’s now been subsequently altered. According to the International Astronomical Association or Union or whatever, the solar system has eight planets. Pluto, previously a planet, has been downgraded to dwarf planet, because it’s the same size as some of the planetoids in the Kuiper Belt. Lynn Picknett and Clive Prince discuss this in one their books,The Stargate Conspiracy (London: Little, Brown & Company 1999), which claimed that the American intelligence agencies were secretly preparing a fake UFO landing in order to convince everyone that the space gods really had arrived, and set up a one-world dictatorship. This hasn’t happened, and I’ve seen the Fortean Times and other weird magazines trying to explain their book as a high-level hoax which people took too seriously. I don’t believe this, as they seemed very serious at the time. The Dogon believe that the first human ancestors, and some of their gods, came from the sky. Hence Temple’s claim that they were contacted by space aliens. Picknett and Prince, however, sided with sceptics like Carl Sagan. They argued instead ithat the Dogon owed it to a French priest, anthropologist or colonial administrator, I’ve forgotten which, who visited them in the 1920s and who was extremely interested in astronomy. This seems to me to be far more likely than that they either got it from space aliens or that they far better mathematicians and astronomers than they could have been at their level of development.

The Dogon are fascinating as their homes and villages are laid out to be microcosms of the male and female human body and the universe. The book African Mythology by Geoffrey Parrinder, London: Hamlyn 1967, describes the layout of a Dogon house thus:

The shape of the Dogon house is symbolical. The floor is like the earth and the flat roof like heaven. The vestibule is a man and the central room woman, with store rooms at her sides as arms. The hear at the end is her head. The four posts are the man and woman entwined in union. So the family house represents the unity of man and woman and God and the Earth. This is accompanied by the elevation and ground plan of a typical Dogon house. (p. 49).

There’s also this diagram of an idealised Dogon village:

The caption for the diagrame reads:

Like the house, the Dogon village represents human beings. The smithy is at the head like a hearth in a house. The family houses in the centre and millstones and village represent the sexes. Other altars are the feet. (p. 51).

Truly, a fascinating people and I have no problem anybody wanting to study them. But it should be in anthropology, ethnography or comparative religion, not maths.

But it struck me that if teachers and educators want to enthuse and inspire young minds with what maths Africans were studying, they could start with ancient Egypt and the great Muslim civilisations of the Sahara and north Africa, like Mali. Aminatta Forna in one of her programmes on these civilisations was shown an ancient astronomical text from the medieval library of one of these towns, which she was told showed that Muslims knew the Earth orbited the sun before Copernicus and Galileo. I doubt that very much. It looks like a form of a combined helio-and geocentric system, first proposed by the ancient Greeks, and then taken up by some medieval astronomers not just in Islam, but also in Christian Europe. In this system, all the other planets when round the Sun, which orbited the Earth. Close to the modern system, but not quite. But it showed that the Black citizens of that civilisation were in contact with the great currents of Muslim science, and that they would have had learnt and taught the same kind of Maths that was being investigated and researcher right across the Muslim world, from India to Morocco and further south to Mali. One of the Black educationalists would like to translate one of these books from Arabic, the learned language of Muslim civilisation, and use it as an example of the kind of maths that was also taught in Black Africa.

Or you could go right back to ancient Egypt. Mathematical texts from the Land of the Nile have also survived in the Moscow and Rhind mathematical papyri. These have various maths problems and their solution. For example, problem No. 7 of the Moscow papyrus is about various calculations for a triangle. This runs

Example of calculating a triangle.

If you are told: A triangle of 2 thousands-of-land, the bank of 2 of 2 1/2;

You are to double the area: result 40 (arurae). Take (it) 2 1/2 times; result [100. Take its square root, namely] 10. Evoke 1 from 2 1/2; what results is 2/5. Apply this to 10; result 4. It is 10 (khet) in length by 4 (khet) in breadth. From Henrietta Midonick, The Treasury of Mathematics: 1 (Harmondsworth: Pelican 1965) p. 71.

It’s amazing to think that the boys at the scribal school were being taught all this millennia ago. It gives you a real sense of connection with the ancient schoolkids reading it. You can imagine them, hunched over with their pen and ink, busily cudgeling their brains while the teacher prowls about them. The Babylonians were also renowned as the pioneers of early mathematics. They even uncovered a school when they excavated Ur of the Chaldees in the 1920s, complete with the maths and other texts the schoolboys – female education didn’t exist back then, but I’m willing to be corrected – were required to learn. As a schoolboy character in the Fast Show used to say: ‘Brilliant!’ You don’t need to burden modern African societies like the Dogon with spurious pseudo-history and pseudo-science, when the real historic achievements of ancient Egypt and medieval Africa are so impressive.

It struck me that even if you don’t use the original Egyptian maths texts to teach maths – which would be difficult, as their maths was slightly different. Their method of calculating the area of a field of four unequal sides yields far too high a figure, for example – you could nevertheless inspire children with similar problems. Perhaps you could do it with assistance of a child or two from the class. You could bring them out in front of everyone, give them and ancient Egyptian headdress, and then arranged the lesson so that they helped the teacher, acting as pharaoh, to solve it. Or else pharaoh showed them, his scribes, and thus the class. This is certainly the kind of thing that was done when I was a kid by the awesome Johnny Ball on the children’s maths and science programme, Think of a Number. And every week, as well as showing you a bit of maths and science, he also showed you a trick, which you could find out how to do by dropping him a line. It was the kind of children’s programme that the Beeb did very, very well. It’s a real pity that there no longer is an audience for children’s programmes and their funding has subsequently been cut.

Here’s History Debunked’s video attacking Ethnomathematics. He also attacks a piece of ancient baboon bone carved with notches, which he states has been claimed is an ancient prehistoric African calendar. He provides no evidence in this video to show that it wasn’t, and says its the subject of a later video. If this is the one I’m thinking of, then that is a claim that has been accepted by mainstream archaeologists and historians. See Ivor Grattan-Guinness, The Fontana History of the Mathematical Sciences (London: Fontana Press 1998) p. 24.

If you want to know more about ancient and medieval maths, and that of the world’s many indigenous cultures, see the book Astronomy before the Telescope, edited by Christopher Walker with an introduction by the man of the crumpled suit and monocle himself, Patrick Moore (London: British Museum Press 1998).

This has chapters on astronomy in Europe from prehistory to the Renaissance, but also on astronomy in ancient Egypt, Babylonia, India, Islam, China, Korea and Japan, North and South America, traditional astronomical knowledge in Africa and among Aboriginal Australians, Polynesia and the Maori. It can be a difficult read, as it explores some very technical aspects, but it is a brilliant work by experts in their respective fields.

BBC 2 Programme Next Week on Possibility of Life on Pluto

July 2, 2020

Way back in the 1970s David Bowie as Ziggy Stardust asked if there was life on Mars. Things have advanced since then, and a new programme on BBC 2 next Monday, 6th July 2020, ponders the possibility that life might exist on the dwarf planet traditionally at the edge of our solar system: Pluto. From being a dead world, Pluto is geologically active and possesses organic chemistry, the building blocks of life. Which raises the question of whether life of some sort exists there.

The programme’s titled Pluto: Back from the Dead and the  blurb for it on page 62 on next week’s Radio Times for 4th – 10th July 2020 reads

New discoveries from the edge of the solar system are transforming what is known about Pluto, thanks to the New Horizons space probe that took the first-ever close up images of the dwarf planet. This Horizon documentary reveals that Pluto, once thought to be geologically dead, is an active world of stunning complexity, with mountains carved from ice, a nitrogen glacier that appears to be moving and a recently active volcano. The data sent back has led some scientists to speculate that there may even be life on Pluto today.

David Butcher’s piece about the programme on page 60 adds

There might be life on Pluto. It sounds far fetched, but that’s the conclusion some scientists have reached, and its one of the unexpected new angles explored in this intriguing edition of Horizon.

The insights come courtesy of New Horizons, a tiny spacecraft that travelled 3.26 billion miles to the edge of the solar system, and sent back amazingly detailed imagery.

It reveals a geologically fertile world with, among other features, a nitrogen glacier and a recently active volcano. Moreover, Pluto’s abundant supply of organic molecules and liquid water suggest some form of alien life might exist.

Pluto isn’t alone in possessing mountains of ice. They also exist on Titan and the other moons of the outer solar system. Titan also possesses organic chemistry, which is why scientists are particularly interested in it for clues about the origin of life on Earth. And it was also at one considered that it too may have life. Carl Sagan also suggested that it might even have volcanoes of frozen gas. There’s an illustration of Titan with one such volcano erupting by the astronomy/science Fiction artist David A. Hardy in his and Patrick Moore’s The New Challenge of the Stars. I don’t know if such volcanoes actually exist there. I haven’t seen anything about the Huygens probe to Saturn and its moons finding any.

Scientists also began speculating that life might also exist in the frozen wastes of the outer solar system after someone suggested that the difference of a few degrees’ temperature between light and shadow on them might be enough to provide the energy to drive life. The quantum physicist and SF author Stephen Baxter expanded this into a short story in his Xelee sequence, collected in the his short story anthology, Vacuum Diagrams. I think that story, however, was set further out in one of the dwarf planets of the Kuiper Belt.

After all this time searching the solar system, I think it’s extremely unlikely that there’s life on Pluto. But who knows, perhaps I’m wrong. It would be truly epoch-making if I was and Pluto did possess a biosphere, even if it was only simply microbial organisms.

The programme’s on BBC 2 at 9.00 pm on Monday, 6th July.


Astronomer Vladimir Firsoff’s Argument for Space Exploration as a Positive Alternative to War

December 2, 2019

Vladimir Firsoff was a British astronomer and the author of a series of books, not just on space and spaceflight, but also on skiing and travel. He was a staunch advocate of space exploration. At the end of his 1964 book, Exploring the Planets (London: Sidgwick & Jackson) he presents a rather unusual argument for it. He criticises the scepticism of leading astronomers of his time towards space exploration. This was after the Astronomer Royal of the time had declared that the possibility of building a vehicle that could leave the Earth’s atmosphere and enter space was ‘utter bilge’. He points out that the technology involved presented few problems, but that ordinary people had been influenced by the astronomers’ scepticism, and that there are more pressing problems on Earth. Against this he argued that humanity needed danger, excitement and sacrifice, the emotional stimulation that came from war. Space exploration could provide this and so serve as a positive alternative, a beneficial channel for these deep psychological needs. Firsoff wrote

The traditional planetary astronomy has exhausted its resources. No significant advance is possible without escape beyond the Earth’s atmosphere. The orbital observatories to come will reveal much that is now hidden about the other planets. Space travel is a short historical step ahead. The basic technical problems have been solved, and the consummation of this ancient dream is only a matter of a little effort, experiment and technical refinement. When Bleriot flew the Channel the Atlantic had already been spanned by air lines. And so today we have already landed on Mars – even Triton and Pluto have been reached.

But do we really like to have our dreams come true?

Possibly that happy extrovert the technologist has no misgivings. He sees the Solar System as an enlargement of his scope of action, and has even suggested preceding a descent on Mars by dropping a few bombs, “to study the surface” (this suggestion was widely reported in the press). Yet the astronomer does not relish the prospect of leaving his ivory tower to become a man of action. He is troubled by this unfamiliar part, and a small voice at the back of his mind whispers insidiously that his cherished theories and predictions may, after all, be false. The dislike of space travel is psychologically complex, but there is no mistaking its intensity among the profession.

The general public shares these enthusiasms  and apprehensions, more often than not without any clear reasons why. The Press (with a very capital P) feeds them with predigested mental pulp about what those ‘wonderful people’ the scientists have said or done (and not all scientists are 12 feet tall). At the same time the scientist is a ‘clever man’, and the ‘clever man’ is traditionally either a crank or a scoundrel, and why not both? Whatever we do not understand we must hate.

Of such promptings the fabric of public opinion is woven into varied patterns.

“Space flight is too expensive. We can’t afford it”… “What is the point of putting a man on the Moon? It is only a lifeless desert.”… “We must feed the backward nations, finance cancer research” (= in practice “buy a new TV set and a new care”)…

Wars are even more expensive and hugely destructive, and cars kill more people than cancer and famine put together.

And yet before 1939 Britain ruled half the world, her coffers were stuffed with gold, she also had 5 million on the dole, slums, an inadequate system of education, poverty and dejection. Came a long and terrible war, a fearful squandering of resources, the Empire was lost, and in the end of it it all the people “had never had it so good”, which for all the facility of such catch-phrases is basically true. Not in Britain alone either-look at West Germany, look at the U.S.S.R.! One half of the country devastated, cities razed to the ground, 30 million dead. BHut in Russia, too, the “people had never had it so good”.

In terms of ‘sound economics’ this does not make any sense. 

The reason is simply: ‘sound economics’ is a fraud, because Man is not an economic animal, or is so only to an extent. He needs danger, struggle, sacrifice, fear, loss, even death, to release his dormant energies, to find true companionship, and-oddly-to attain the transient condition of happiness … among or after the storm.

That German soldier who had scribbled on the wall of his hut: “Nie wieder Krieg heisst nie wieder Sieg, heisst nie wieder frei, heisst Sklaverie” (No more war means no more victory, means never free, means slavery) was a simple soul and he may have survived long enough to regret his enthusiasms among the horrors that followed. Yet the idea, distorted as it was, contained a germ of truth. For heroic endeavour, which the past enshrined as martial valour, is as much a necessity as food and drink. We must have something great to live for.

Hitler’s ‘endeavour’ was diabolical in conception and in final count idiotic, but it cannot be denied that it released prodigious energies both in Germany and among her opponents, and we are still living on the proceeds of this psychological capital.

What we need is a noble uplifting endeavour, and even if we cannot all take direct part in it, we can yet share in it through the newspapers, radio and television, as we did, say, in the epic rescue operation during the Langede mining disaster. It became a presence, everybody’s business-and I doubt if it paid in terms of £ s.d…

You will have guessed what I am going to say.

Mankind needs space flight. Let us have space ships instead of bombers, orbital stations instead of ‘nuclear devices’. The glory of this great venture could do away with war, juvenile delinquency and bank raids. It could be cheap at the price.

It is a fallacy to imagine that money spend on developing spaceflight is lost to the nation; it is only redistributed within it, and it is much better to redistribute it in the form of real wages than in unemployment relief. Besides, real wealth is not in a ledger; it is the work and the willingness to do it.

Yet if we go into space, let us do so humbly, in the spirit of cosmic piety. We know very little. We are face to face with the great unknown and gave no right to assume that we are alone in the Solar System.

No bombs on Mars, please.

For all that they are well meant and were probably true at the time, his arguments are now very dated. I think now that the majority of astronomers are probably enthusiasts for space flight and space exploration, although not all of them by any means are advocates for crewed space exploration. The Hubble Space Telescope and its successors have opened up vast and exciting new vistas and new discoveries on the universe. But astronomers are still using and building conventional observatories on Earth. Despite the vast sums given to the space programme during the ‘Space Race’, it did not solve the problems of crime or juvenile delinquency. And it was resented because of the exclusion of women and people of colour. Martin Luther King led a march of his Poor Peoples’ Party to the NASA launch site to protest against the way money was being wasted, as he saw it, on sending White men to the Moon instead of lifting the poor – mainly Black, but certainly including Whites – out of poverty. And as well as being enthused and inspired by the Moon landings, people also grew bored. Hence the early cancellation of the programme.

And people also have a right to better healthcare, an end to famine and a cure for cancer. Just as it’s also not wrong for them to want better TVs and cars.

But this isn’t an either/or situation. Some of the technology used in the development of space travel and research has also led to breakthroughs in other areas of science and medicine. Satellites, for example, are now used so much in weather forecasting that they’re simply accepted as part of the meteorologists’ tools.

But I agree with Firsoff in that space is an arena for positive adventure, struggle and heroism, and that it should be humanity’s proper outlet for these urges, rather than war and aggression. I think the problem is that space travel has yet to take off really, and involve the larger numbers of people in the exploration and colonisation space needed to make it have an obvious, conspicuous impact on everyone’s lives. There is massive public interest in space and space exploration, as shown by Prof. Brian Cox’s TV series and touring show, but I think that to have the impact Virsoff wanted people would have to feel that space was being opened up to ordinary people, or at least a wider section of the population than the elite scientists and engineers that now enjoy the privilege of ascending into Low Earth Orbit. And that means bases on the Moon, Mars and elsewhere, and the industrialisation of space.

But I think with the interest shown in the commercial exploitation of space by Jeff Bezos and Elon Musk, that might be coming. And I certainly hope, with Firsoff, that this does provide a proper avenue for the human need for danger and adventure, rather than more war and violence.

Brian Cox Reveals Great Cthulhu on Pluto

June 27, 2019

Brian Cox’s astronomy series, The Planets, shown on BBC 2, came to an end on Tuesday. After taking the viewer on a tour of the solar system and its creation and history, looking at Mercury, Venus, Mars, Jupiter, and Saturn, it finished by looking at the planets in the freezing depths of space almost at its limits – Uranus, Neptune, Pluto, and the various other dwarf planets believed to have come in from the Kuiper Belt, like Quaeor, Varuna, Eris, and one of the strangest objects discovered in the group, Ultima Thule. This last has a dumb-bell shape, formed by two spherical asteroids collided and fused. It also showed some of the spectacular photographs sent back by recent NASA probes into that almost unimaginably remote part of the Solar system.

Far from being a featureless ball of ice, Pluto was shown to be a world of mountains, with craters like the Moon and a heart-shaped plain. This was believed to have been created through liquid water welling up from beneath its icy crust, smoothing over any impact craters on the surface. And one of these topographical features had a name to delight fans of H.P. Lovecraft’s SF/Horror fiction: Cthulhu Macula. Of course, the cold, dim, icy edge of the solar system is very suitable for a place named after one of the malign cosmic gods of the Cthulhu mythos, the Great Old Ones, who seeped down from the stars. Like Great Cthulhu himself, sleeping in his house in the sunken island of R’lyeh in the Pacific, they are dormant, just waiting their chance to return and once again subdue humanity to their hideous power. It also shows how there must be at least one person in NASA, if not the rest of the Astronomical Union, who’s into Lovecraft.

But there’s another, historical reason why this part of Pluto should have been named after one of Lovecraft’s monstrous fictional creations. One of the evil extraterrestrial races in his short stories is the Fungi from Yuggoth, otherwise known as Pluto. These are space travelling giant insects, at least in appearance, who have established bases on Earth. They are masters of surgery. Unable to bring their agents to their homeworld complete, they surgically remove their brains, keeping them in a suitable life-support container when they fly through the depths of space. Lovecraft wrote the story in which they make their appearance the year Clyde Tombaugh discovered Pluto, and so wrote the newly discovered world into the story.

The Planets has been an excellent series, not least for its computer recreations of scenes from the solar system’s remote past. It also had a fitting choice of band for its signature music: Muse. The Bournemouth band have written a series of hits about space and physics, like ‘2nd Law’, ‘Supermassive Black Hole’, while the video for ‘Sing For Absolution’ had them as astronauts fleeing an Earth in the grip of a new Ice Age, to travel into a future when the Sun is hotter and the Earth a burned cinder.

I don’t know if there will ever be a crewed mission to Pluto. Given that it’s five decades since we put men on the Moon, and are only now considering returning there, it’s not going to be any time soon. And I really doubt that we will find Great Cthulhu himself there when we do. Perhaps that’s what was need to keep up interest in space exploration: we should have found Cthulhu there, in his city where the angles are wrong, waiting for when the stars are right.

Ia! Ia! Cthulhu R’lyeh ftagn!