History of science garbage dumps – two for the price of one

I acquired the book under review here back in 2024 shortly after it was first published and having read it was astounded at how bad it actually was. I started to write a review but after much effort and more than 8000 words, I was about half way through and couldn’t take anymore. I put it to one side aiming to take it up again later, I never did. Recently on an Internet forum somebody asked if anybody knew the book and what they thought of it? I replied with my honest opinion that I thought it was crap and was asked if I had written a review of it. I replied with the explanation given above and the enquirer asked if he could read my unfinished review, as did several others. Having dug it out and reread it, I sent it to those who wished to read it. I have now posted it here to warn any other potential readers  of those subpar tome. I will only point out that the chapters I haven’t reviewed here are just as bad as the ones I have reviewed.

Back in 2019, I decided to buy the highly praised debut book by Violet Moller, The Map of KnowledgeHow Classical Ideas Were Lost and FoundA History in Seven Cities (Picador, 2019). Typical of the promotion for this volumes was Peter Frankopan’s cover blurb:

A lovely debut from a gifted young author. Violet Moller brings to life the ways in which knowledge reached us from antiquity to the present day in a book that is as delightful as it is readable.

I have a lot of respect for Peter Frankopan so, I took the plunge. When I tried to read this highly praised volume, Frankopan was not alone in his gushing praise, I found it factually inaccurate and shoddy so I gave up. More recently an internet acquaintance asked me my opinion of the book and I said I wouldn’t recommend it. He then asked me why and I said, to be honest I have a negative view of the book  but I can’t remember why! One evening I took it down from the shelf and reread parts of it and came to the conclusion that it was even worse than I remembered.

Given these facts, it might seem surprising that, when Violet Moller’s new book was launched, with similar fanfares, although nothing from prominent historians, I bought a copy. Given the title, I simply couldn’t resist, Inside The Stargazers PalaceThe Transformation of Science in 16th-Century Northern Europe (One World, 2024). If I claim to have even a modicum of expertise in the history of science it is in The Transformation of Science in 16th-Century Northern Europe a topic to which a substantial percentage of this blog has been devoted over the last sixteen years. I wish I had resisted!

Image

Moller sets out her intentions in a nineteen page PrologueBefore in which she explains, quite correctly, that substantial progress was made in advancing science in Europe in the sixteenth century before the seventeenth-century Scientific Revolution. She also correctly notes that these advances were still mixed up with the so-called occult sciences, astrology and alchemy. She writes:

The stars, or rather astronomy, will be our guide. This was the  most prestigious of the mathematical disciplines, one that long played a leading role in the development of science in part because it was often the starting point for investigation of the natural world. People have always built places to observe, to enhance their understanding of the night sky.

And then:

In my last book, The Map of Knowledge, I followed three major scientific texts as they were transmitted and transformed in the Middle Ages , following them on a thousand-year journey through seven cities that ended in 1500. This is where we will begin, taking up where we left off and travelling to seven places north of the Alps where people studied the stars and made instruments in their quest to deepen their understanding of the world around them.

If Moller had actually delivered that which she outlines in this prologue in an accurate factual manner then this would have been a good book, unfortunately, she doesn’t. The book is littered with errors inaccuracies and an incredible amount of waffle. A couple of inaccuracies from this prologue to give a taste before we dive into the morass. 

A central theme of the book is instruments and she writes:

By the second century CE, Ptolemy had an array of instruments at his fingertips, simple ones for measurement like quadrants but also more complex astrolabes and armillary spheres which could calculate and predict celestial activity.

Ptolemy did not have astrolabes. He uses the name for what we now call armillary spheres. Ptolemy’s armillary sphere was a large observational instrument, which was used to measure the positions of celestial object, as described in Book V of the Almagest,  and was not used for calculations. 

Throughout her book Moller seems to be obsessed with clocks and it starts in the prologue with the following:

Of all the astronomical instruments developed before the telescope, clocks were the most significant. Being able to accurately measure time had a profound influence on so many aspects of life, and a singular effect on the accuracy and potential use of astronomical observations. There had been clocks of various kinds for centuries; water clocks were popular in the Arab world and famously reached Europe when the caliph Harun al-Rashid sent one to the emperor Charlemagne – a classic example of one-upmanship masquerading as generosity. 

Let’s quote Wikipedia:

Water clocks are some of the oldest time-measuring instruments. The simplest form of water clock, with a bowl-shaped outflow, existed in Babylon, Egypt, and Persia around the 16th century BC. Other regions of the world, including Indiaand China, also provide early evidence of water clocks, but the earliest dates are less certain. Water clocks were used inancient Greece and in ancient Rome, as described by technical writers such as Ctesibius (died 222 BC) andVitruvius (died after 15 BC).

[…]

Some water clock designs were developed independently, and some knowledge was transferred through the spread of trade. These early water clocks were calibrated with a sundial. While never reaching a level of accuracy comparable to today’s standards of timekeeping, the water clock was a commonly used timekeeping device for millennia, until it was replaced by more accurate verge escapement mechanical clocks in Europe around 1300.

Put simple medieval Europeans didn’t need to be told by Harun al-Rashid what a water clock was.

We move to the first of Moller’s ‘seven places,’ Nuremberg! If only I knew an expert on the history of science in sixteenth century Nuremberg, who could point out Moller’s errors. Moller doesn’t actually engage with the extensive and varied mathematical and astronomical culture of sixteenth-century Nuremberg but only presents potted biographies of Regiomontanus, who lived and died in the fifteenth century, Albrecht Dürer, Wenzel Jamnitzer and a purple prose section on Augsburg and the Fugger. 

The chapter opens with a general account, which is OK, briefly discusses Hans Sachs’ The Book of Trades noting that it doesn’t contain an instrument maker, not surprising as it wasn’t a recognised trade, which she doesn’t mention. She then indulges her spleen for clocks by introducing Peter Henlein (1485–1542), she delivers a typical Moller nonsense:

In the early years of the sixteenth century Peter Henlein, a local artisan, made a small portable clock designed to be worn around the neck or fastened onto clothing—the first known watch, called a ‘living egg’ because of its shape and the miniscule steel cogs that turned inside it. Henlien’s workshop produced hundreds of these…

Henlein was indeed one of the first craftsmen to make small ornamental portable clocks which were often worn as pendants or attached to clothing and is credited with inventing the watch. He did not produce hundreds of these and he did not produce the egg shaped watches that became popular around 1580 twenty years after his death. 

Enter Regiomontanus who also featured in her earlier book and it is interesting to note that her account of his wanderings between leaving Vienna in 1461 and arriving in Nuremberg in 1471 is highly inaccurate in both books but the two accounts also contradict each other! I’ll just stick to the new book.

Moller quotes Regiomontanus’ letter in which he explains his move to Nuremberg in 1471 “on account of the availability of instruments, particularly the astronomical instruments on which the entire science of the heavens is based, but also on account of the very great ease of all sorts of communication with learned men everywhere.” 

She complains that Regiomontanus doesn’t receive the attention he deserves, “There is only one biography of him in English (translated from the German) and his presence in Nuremberg today is slight, although there is a small observatory named after him. I don’t quite know what Moller expects, although my friends at the highly active observatory will be pleased to have got a mention. I recently had a discussion on social media with other experts on the history of astronomy about producing a new Regiomontanus biography, which given his very broad pallet of activities would be a horrendous task. There are however numerous scientific papers on the various aspects of his life and work. 

We get a brief sketch of his life up to his work with Peuerbach in which Moller calls Regiomontanus a Latinized ‘nickname’–it’s a toponym! She also fails to note that he was never called that, the name was first used by Melanchthon sixty years after his death. We then get the following:

Then in 1461, disaster struck – Peuerbach died suddenly, aged just thirty-eight. Regiomontanus had lost his collaborator and friend, at a time when astronomers were thin on the ground. Fortunately, he had met someone the year before who could help. Cardinal Johannes Bessarion … Regiomontanus must have felt he had entered the very gates of heaven when he entered when he arrived at Bessarion’s elegant house and saw the library. 

Firstly, Bessarion’s name was not Johannes, it was Basilios. We get no mention of the fact that Bessarion had sought out Peuerbach to make new translation from the Greek of the Almagest, which he couldn’t do as he didn’t speak Greek but agreed to write an undated Epitome of the Almagest. Bessarion then invited him to return to Italy with him, Peuerbach accepted but only on the condition that Regiomontanus also went. So, Bessarion’s adoption of Regiomontanus into his familia was agreed before Peuerbach’s death. Moller tells us:

Regiomontanus taught Bessarion astronomy and mathematics , receiving tuition in Greek in return…

Bessarion did indeed teach Regiomontanus Greek but I know of no lessons in astronomy and maths for Bessarion.  We get told: 

He and Bessarion spent the next four years travelling around Italy together … In 1467 Regiomontanus was tempted back over the Alps by an offer from Matthias Corvinus, King of Hungary, whose recent victory against the Turks had left him in possession of several rare manuscripts. Unable to resist the prospect of new texts, Regiomontanus set off northwards to the Hungarian court in Buda, a rare beacon of humanism outside Italy. 

Regiomontanus left Italy in 1465 and it is not known where he was for the next two years, so if he headed northwards when he went to Hungary is not known. He received no offer from Matthias Corvinus but travelled to Esztergom (German Gran) to the court of the Archbishop János Vitéz (c. 1408–1472) as a potential member of staff for the newly established University of Bratislava. Vitéz had  earlier been a patron of Peuerbach’s and most probably wanted to engage Regiomontanus for his skills as an astrologer. Regiomontanus later transferred to Matthias Corvinus’ court in Buda. Corvinus did not have ‘several rare manuscripts’ but had established a royal library, the Bibliotheca Corviniana in 1465, one of the most renowned libraries in the Renaissance world, which had grown to about 3,000 codices, which included about four to five thousand various works, many of classical Greek and Latin authors. That is four times as large as the library of Bessarion that Moller waxes lyrical about over several pages.

Moller now tells us:

A few years later still in Matthias’ service, Regiomontanus wrote a letter to a fellow scholar at the University of Erfurt … This letter written in July 1471 is an invaluable source of information on his plans, … One of his priorities was to calculate new planetary tables based on his own improved observations; another was to set up a printing press to publish a selection of scientific works.  

Moller then tells how valuable Regiomontanus’ time in Italy was and can’t resist, “Italy was the main beneficiary of manuscripts brought from Constantinople after it was taken by the Ottomans in 1453…”  the flood of manuscripts out of Constantinople in 1453 is a myth. She adds, Occasionally he discovered manuscripts for himself…” Regiomontanus’ main occupation was to seek out and make copies of manuscripts for Bessarion. 

 We return to Matthias, “In 1471, King Matthias sent Regiomontanus to Nuremberg to work on a new set of astronomical tables based on new, improved observations.”

Actually, according to legend Regiomontanus was asked in Buda why astrological prognostication were so inaccurate, to which he replied because the astronomical data on which they are based is too inaccurate. He then requested permission from Matthias to leave Buda and travel to Nuremberg to carry out his programme of observations. The letter from July 1471, which Moller had actually quoted earlier in her narrative was actually written from Nuremberg, a fact that she quotes,  where he had been living since 2 June at the latest. 

Moller now rambles on extensively about Regiomontanus’ workshop, his famous Tradelist (1474), in which he announced the books he intended to publish, and his intention also to manufacture scientific instruments. In the early history of printing Regiomontanus’ Tradelist is a fascinating and interesting document and it is right to draw attention to it but Moller’s comments on his workshop are totally speculative as we know absolutely nothing about it. Although here Moller allows herself another blunder, she writes:

The list contains several works by Ptolemy, including his masterpiece on astronomy the Almagest, and Euclid’s foundational text on mathematics, the Elements (neither had been printed with their diagrams before [my emphasis])

Neither had even been printed! The first Latin edition of the Almagest printed in 1515 and the first Greek edition in 1538. The first edition of the Elements was that of Ratdolt in 1482.

Moller quotes from the Tradelist, “There shall be made also astronomical instruments for celestial observations,” leaving out the next sentence, “And also other things for common daily use, the names of which it would be tedious to relate.” She then goes on to say:

 “In this period, if you wanted an astrolabe, you either had to make on yourself using a manual, or specifically commission one from a goldsmith. There were no dedicated instrument shops, but as scholarship spread in Europe, more and more people became interested in measuring the stars, transmuting metals, and distilling tinctures. As the demand for astrolabes, glass vessels and other specialist equipment rose, people started making them to sell, setting up centres of production to cater for the new market. … Regiomontanus was a pioneer in this field…

Unfortunately for Moller, and her glorification of Regiomontanus the instrument maker, when he moved to Nuremberg there were already many workshop producing astronomical instruments, which is one of the two reasons he moved there, as he wrote in that letter from July 1471, which she quotes six pages earlier:

Quite recently I have made [observations] in the city of Nuremberg…for I have chosen it as my permanent home, not only on account of the availability of instrument, particularly the astronomical instrument on which the entire science of the heavens is based…

Apparently she doesn’t actually read what she writes! Nuremberg would continue to be the major centre for the production of scientific instruments until at least the middle of the sixteenth century. 

Moller tries to present the printer publisher, Regiomontanus, as some sort of highly influential role model in the history of scientific publishing but, although he was the first scientific publisher, there is little or no evidence that he influenced anybody apart from Erhard Ratdolt. Moller, of course, tries to push the story that Ratdolt learnt printing working for Regiomontanus in Nuremberg but there is absolutely no factual evidence for this theory. I argue that given the impact of Regiomontanus’ Ephemerides and Calendaria, and his reputation as an astrologer, that if Ratdolt had learnt his trade from him he would have loudly announced the fact, when he set up his own publishing house in Venice. 

Moller’s obsession with clocks come out with another quote from the Tradelist, “The Tradelist mentions of a planetarium or astronomical clock being made in the workshop, ‘a work clearly to be gazed upon as a marvel’…  The actual quote,  “In the workshop of the artisan a planetarium is under continuous development. A work clearly to be gazed upon as a marvel” makes no mention of an astronomical clock and a planetarium is not an astronomical clock.

Following Regiomontanus’ death, Moller gives out another piece of ahistorical garbage, she writes:

Mathematical printing continued, and in the following decades the city became a flourishing centre with Regiomontanus’ own  De Triangulis (1533), Copernicus’ De Revolutionibus (1543) and Cardano’s Ars Magna testament to ‘Regiomontanus’ importance, not only as a mathematician and astronomer, but also as a publicist a publicist and architect of the renaissance of mathematics.’ (The quote is from Paul Rose’s The Italian Renaissance of Mathematics p. 109).

All three books were published by Johannes Petreius, who had nothing to do with Regiomontanus’ efforts as a printer/publisher, but who had learnt the printing trade from his uncle Adam Petri in Basel before moving to Nuremberg in 1523 almost certainly to try and fill the gap left by the death of Anton Koberger. Moller never mentions Petreius  the most important scientific publisher in Europe in the first half of the sixteenth century or Koberger, who started printing in Nuremberg a year before Regiomontanus and was in the last decades of the fifteenth century and the first decades of the sixteenth, the biggest printer publisher in the whole of Europe. 

Moller now moves on to Regiomontanus’s partner in Nuremberg, Bernhard Walther and the house he purchased, when he retired in 1501. When I read what she now wrote I didn’t know whether to laugh or cry:

He had two windows and a balcony built onto the top floor of the southern gable  and installed his instruments there, creating a modest, yet ground-breaking observatory – the first identifiable one in northern Europe. 

Actually, Walther added the entire third floor to the building. I will show you a picture of his balcony to explain my reaction!

Image
Walther House with Observatory Window in the south gable
Photo: Nora Reim
Source: Astronomie in Nürnberg

As you can see it is actually a stone window sill on which he supported his instruments when making observations. It is probably less that a metre long and maybe thirty centimetres wide at its widest point. Moller, who obviously not done the necessary research seriously thinks Walther built a balcony because  later when discussing the observatory of Wilhelm IV of Hesse-Kassell, she wonders whether Walther’s balcony served as a role model for Wilhelm’s observing balcony. 

She uses Walther’s house to introduce Albrecht Dürer, who bought the house in 1509, because it had been Walther’s house, and it is today a museum dedicated to Dürer. After a couple of introductory lines of biography Moller send Dürer off on his traditional journeyman years of travel and then writes:

When he returned to marry Agnes Frey, the daughter of a wealthy brass maker, he was a master of copperplate engraving, an almost unknown art in Nuremberg.

Copperplate engraving was an almost unknown art everywhere. Also, when Dürer returned to Nuremberg in 1494 he was anything but a master in the art but a shaky beginner. There are three small copperplate prints from that year that are very obviously the work of a beginner. Also, he didn’t learn the art during his journeyman years of travel. Copper plate engraving was invented by gold smiths and Dürer certainly learnt the art in his father’s workshop. Moller now tackles his first journey to the south, which she following the tradition went to Venice. Modern research doubts that on that first journey  Dürer ever left Germany. However, Moller writes:

There were many reasons for him to visit the magical city on the lagoon, but high on the list must have been visiting its printing presses and gathering expertise and contacts for the venture he was about to launch in Nuremberg.

The knowledgeable reader must ask himself at this point, why would Dürer visit Venice to look at printing presses, when by 1595 his godfather Anton Koberger was the biggest printer publisher in Europe. Koberger had printed the Nuremberg Chronicle in 1593, which is full of woodblock prints from the workshop of Michael Wolgemut, Dürer’s master! From Koberger and Wolgemut, Dürer could and did learn everything he needed to know about setting up a print workshop. 

We now get a piece of arrant bullshit:

The workshop gave Dürer control, just as it had Regiomontanus. Here he was able to oversee every stage of his cultural output, from initial design to finished painting or print. Dürer’s success in this endeavour, along with the house’s preservation, give us unprecedented access [my emphasis] to one of the most important and innovative workshops, there has ever been. It is a portal into the sixteenth century and the life of Albrecht Dürer. 

All leading Renaissance artists set up their own workshops giving them control. Whilst in detail different, Dürer’s workshop was no more innovative that those of Lorenzo Ghiberti (1378–1455), Andrea del Verrocchio (c. 1435–1488), Leonardo’s master, or Dürer’s own master, Michael  Wolgemut (1434–1519), who taught Dürer the art of woodblock printing and introduced him to the concept of selling prints individually, which Moller seems to think Dürer invented. He turned the concept into big business but he didn’t invent it. 

After a passage of purple prose about the workshop Moller delivers her next metaphorical history of art, pratfall: 

Dürer was awestruck by the natural world, obsessed with studying and capturing it. In 1503, he turned his forensic gaze upon a patch of weeds, dug from the surrounding countryside and carried back to the studio where, using pen, ink and watercolour he produced an image of ground-breaking naturalism and beauty. Every plant in the Great Piece of Turf is identifiable, each blade of grass perfectly rendered. This study of nature is scientific in detail and accuracy. Even the roots and soil are shown; it is the first image of its kind.

The Great Piece of Turf is not a parch of weeds, dug from the surrounding countryside and carried back to the studio, it is an artificial construct carefully put together to create an illusion of realism, which is in fact hyper-realistic.

Moller keeps trying to forge a link between Dürer and Regiomontanus that simply didn’t exist. For example, she write:

Inspired by what he had seen in Italy and by Regiomontanus’ enterprise in Nuremberg…

She seems to think that because Regiomontanus set up a printing works in Nuremberg to print books in 1471 that Dürer was copying him when he set up an artist’s workshop in 1495 specialising in woodcut prints. Dürer had served his apprenticeship in the workshop of Michael Wolgemut, who specialised in woodcut prints!  

The quote above has a bizarre footnote:

Dürer was a leading member of a circle of intellectuals who saw themselves as Regiomontanus’ successors, men like Walther, Willibald Pirckheimer, Johannes Werner and Johannes Schöner.

Apart from Walther, these men did not see themselves as Regiomontanus’ successors but had varied and complex backgrounds. Although Pirckheimer, Werner, and Schöner were all major scientific figures in Nuremberg during the period Moller covers , she makes no other mention of them or any attempt to describe their significant contributions to Renaissance science. Any non-expert reading her footnote would probably think, “who the fuck are they?”

After a couple of paragraphs of waffle about the importance of patronage, Moller now drifts off to write a five page gloss on the banking family the Fuggers of Augsburg in a chapter about Nuremberg. This ends in Antwerp where we then get the following:

Dürer, visiting in 1520 on his ill-fated mission to find a whale, noted that it was ‘constructed altogether new and at great expense, with a particular tower, wide and large, and with a beautiful garden’.

It would appear that Moller expects her readers to be fully informed about Dürer’s expedition to Zeeland to view a whale beached by a storm, because she gives no further explanation of this statement, except:

Dürer returned home to Nuremberg, weakened from an illness he had caught on his travels and disappointed he had neither secured Charles V’s patronage nor encountered a whale. 

Dürer didn’t travel to the Netherlands to see a whale, that was simply an accidental opportunity that occurred whilst he was there. He travelled because the Holy Roman Emperor Maximillian I had died in 1519 and with his death Dürer had lost his Imperial Pension. He travelled to the crowing of Charles V as emperor in Aachen to get his Imperial pension renewed , an endeavour in which he was successful. Apparently that news never reached Moller. 

Before leaving Dürer, it is interesting to note that in a book with the subtitle, The Transformation of Science in 16th-Century Northern Europe Moller completely ignores the three maths book Dürer authored, Various Lessons on the Fortification of Cities, Castles, and Localities (Etliche Underricht zu Befestigung der Stett, Schloss und Flecken) (1527), Four Books on Human Proportion (Vier Bücher von menschlicher Proportion) (1528) and Four Books on Measurement (Underweysung der Messung mit dem Zirckel und Richtscheyt or Instructions for Measuring with Compass and Ruler) (1525). The latter was the first mathematics book printed in German and was translated into Latin and several major European languages. He also, together with Johann Stabius produced a world map. Most telling in a book which the author says, The stars, or rather astronomy, will be our guide, she completely ignore the fact that Dürer provided the images for the first ever in Europe printed star maps produced by Johann Stabius and Conrad Heinfogel.

We now get a page and a half devoted to the goldsmith Wenzel Jamnitzer, who moved to Nuremberg in 1534, who as Moller points out was famous for his delicate gold flower but also for his book on the theory of perspective Perspectiva corporum regularium (Perspective of the Regular Solids), which was illustrated by Jost Amman (1539–1591). He was also an instrument maker. Moller tells us:

In 1562, Jamnitzer commissioned a portrait of himself. However, unlike Amman’s goldsmith in the Book of Trades, he is not painted holding the tools of his trade. In his left hand is a silver conversion rule he made himself, designed to compare the weights of different metals; in his right a variable proportional compass – precise mathematical instruments rather than pliers of hammers.

What Jamnitzer is holding in his hands are the tools of his trade! She then goes onto give other examples of Jamnitzer presented with mathematical instruments. Then she writes: 

In presenting himself as more than a craftsman, Wenzel was taking the mantle directly from Dürer, continuing his crusade to elevate the status of artists, scholars and artisans. His emphasis on the scientific aspects of his career shows how it was developing during the century, and with it, those who practiced it. 

Jamnitzer was possibly the best goldsmith who worked in Nuremberg during the Early Modern Period but he was by no means the only one who designed and made scientific or mathematical instruments and not even the first to do so. Moller is here trying to claim some sort of special status for Jamnitzer that he simply didn’t have. 

Moller closes this train wreck of a chapter with a quite frankly ludicrous claim.

Thanks to Regiomontanus, Dürer, and Jamnitzer, Nuremberg was the first place in northern Europe where the combination of commercial success and technological ambition came together to create a new world of knowledge, an inspiring example to others; the city remained a thriving centre of instrument making, but this example too was beginning to spread to other places.

Nuremberg was a major centre for the production of scientific instruments before Regiomontanus moved there; in fact, that’s one of the principle reasons he moved there. It is not known if Regiomontanus actually produced any instruments in Nuremberg. In terms of instrument made in Nuremberg, Jamnitzer was very much a late comer. Whilst Regiomontanus set standards for the quality of his scientific publishing, he general impact as a  printer/publisher was minimal compared to the contemporary publishing house of Anton Koberger or in scientific publishing compared to the slightly later Johannes Petreius. Although commercially more successful, Dürer’s workshop was no different to that of his master Michael Wolgemut, from whom he learnt the art of making and marketing woodcut prints. In general Moller completely ignores the people who actually made Nuremberg the centre of a new world of knowledge, Erhard Etzlaub, Willibald Pirckheimer, Johannes Werner and Johannes Schöner, Georg Hartman, Johannes Stabius (not a resident but a frequent visitor), Johannes Neudörffer and, Thomas Venatorius, and many other minor figures. 

Having right royally screwed the history of science of sixteenth century Nuremberg, Moller now takes us to the University of Louvain in the Spanish Netherlands. She opens with the arrival of a young John Dee in 1547 and tells us:

It’s hard to believe Dee would not have passed through Antwerp on his way to Louvain, which lies a few hours’ walk through the gently undulating countryside to the south-east.

Antwerp to Louvain is 43.5 kilometres as the crow flies so allowing for normal roads about fifty kilometres by road, it’s  not exactly what I would describe as a few hours walk. After a lot of waffle about Antwerp, Louvain and the Spanish Netherlands we arrive at the University of Louvain, and Moller informs us:

When Dee arrived, Louvain University had been educating young men for a little over a century. Known as the ‘Athens of Belgium,’ [Really? Belgium didn’t exist then!] it had grown quickly and was now only second to Paris in reputation.

“…now only second to Paris in reputation?” I known an awful lot of European universities who would seriously dispute that claim. Apart from anything else Louvain only acquired a university library in 1636. 

She continues:

Having completed the traditional BA degree, the three main MA subjects on offer were theology, philosophy and medicine. 

On the medieval university the MA was a teaching qualification, qualifying the holder to teach undergraduates. The advanced study was for a doctorate and the three subjects were theology, law and medicine.

We get a lot of background detail about the history of the university till we arrive at Andreas Vesalius, who we are told studied in the arts faculty as an undergraduate without a date, it was from 1528 to 1532. “Before long he became he became interested in the family business,” which was medicine. Moller then delivers up the story about Vesalius and Gemma Frisius stealing bits of a skeleton from a gibbet in 1536. Somehow she neglects to mention that Vesalius left Louvain to study medicine in Paris between 1533 and 1536, only returning to Louvain because of armed hostilities. 

We now get brief sketches of the life stories of Gemma Frisius and Gerhard Mercator. We are already eight pages into the chapter when finally on page nine we finally get something from the history of science:

In 1529, aged twenty-one and just one year after graduating his BA, he published a new edition of Peter Apian’s astronomical manual of 1524, Cosmographia, ‘carefully corrected and with all errors set to right, by Gemma Frisius’. 

So far so good but the title is Cosmographicus liber not Cosmographia and it is not an astronomical manual, it’s a cosmography manual as the title says, which means it covers astronomy, astrology, geography, cartography, navigation, surveying, instrument making etc. Moller continues:

Gemma Frisius had arrived, and from that moment on, the eyes of Europe looked to the Low Countries for progress in geography, cartography, and astronomy.

Correct would be, with the publication of the second edition of Apian’s Cosmographicus liber by Gemma Frisius, Louvain became a new additional centre for progress in geography, cartography, and astronomy, in northern Europe alongside Nuremberg, Ingolstadt, Vienna, Tübingen, Basel and Paris. Moller sinks deeper in the mire:

Apian’s text is a layman’s introduction to astronomy, geography and mathematical instruments, which Frisius adapted to make it more even more [sic] accessible. 

Written in Latin and highly technical, the Cosmographicus liber is hardly a layman’s introduction but a serious textbook for cosmography. Also, although Frisius expanded it, and would continue to do so over many new editions, he didn’t, in any real sense make it mor accessible.

Moller continues:

In a canny commercial move, he also began making instruments to sell alongside the text. There were very few workshops producing items like astrolabes and astronomer’s rings, while books like Cosmographia were introducing them to a wider audience, creating a new market. 

Nuremberg had a large number of workshops producing mathematical and astronomical instruments, which Moller simply chose to ignore in her highly inadequate account of the city. Georg Hartmann (1489–1564) for example produced sundials, astrolabes, armillary spheres and globes. He was probably the most prolific astrolabe maker in Europe, as he was the first to introduce the serial production of the instrument. We return to Moller:

His next move was to design ‘a geographical globe with the most important stars of the celestial sphere’ – a combined terrestrial and celestial globe. He worked in collaboration with his friend Gaspar van der Heyden, a local goldsmith who did the engraving work. 

[…]

He [Gaspar van der Heyden] had already made a globe in 1527 with the monk from Mechelen, Franciscus Monachus. The ‘gores’ (the petal-shaped segments on which the maps were printed before being pasted onto the globes) would have been printed at the publishers in Antwerp, but pasted and finished in the workshop where the spheres were made and inscribed, ‘Gaspar van der Heyden, from whom this work which cost much money and no less labour, may be acquire’.

Gemma published On the Principles of Astronomy and Cosmography, with Instructions for the Use of Globes, and information on the world and on Islands and Other Places Recently Discovered (like  his first book printed in Antwerp) to go with the globe. 

[…]

In the early sixteenth century, only a small number of workshops produced these marvellous objects [globes], usually engraved sphere of wood or metal made in commission for wealthy clients. The printing press made a new kind of globe possible, one that was made of two hollow hemispheres, usually of wood but sometimes papier mâché and plaster, glued together with the maps printed on gores and then pasted onto the surface. This type of globe was cheaper and easier to produce, enabling workshops to make theme in larger numbers for general sale rather than on commission, reducing the price and increasing their availability. Gemma saw the potential of this and ran with it. His combined globe, which was being produced in Louvain workshops by 1530, was the first of several that he designed, each one with improved geographical information which was constantly being updated by sailors and merchant returning to Antwerp from voyages.

There is an awful lot to unpack here. As far as we know the first cartographer to produce printed gores for a globe was Martin Waldseemüller (c.1470–1520), who made a very small globe, 12cm, of his famous world wall map, the first to use the name America, both in 1507. None of the globes have survived but four sets of gores are still extant. 

Unlike his map, Waldseemüller’s globe had little impact and it was Johannes Schöner (1477–1547), one of those mathematical practitioners from Nuremberg, who Moller ignored, who is credited with the first serial production of printed globes. Schöner produced a 27 cm terrestrial printed globe in 1515. This was followed by a matching celestial globe in 1517. He established the concept of matching pairs of terrestrial and celestial globes and the way that they were mounted that remained a standard down to the end of the nineteenth century. Standards also adopted by Gemma Frisius and his pupil Mercator. The cartography of the terrestrial globe was clearly based on the Waldseemüller wall map and the only surviving copy of the wall map, now in the Library of Congress, was that owned by Schöner. In 1533, Schöner produced a new pair of terrestrial and celestial globes with updated cartography. 

Although very few of Schöner’s globes have survived, they were made of  papier mâché and plaster, we now from correspondence that they were very much in demand and that he sold comparatively many of them, throughout Europe. The celestial globe in Hans Holbein’s painting The Ambassadors, painted in London in 1533, is one of Schöner’s and the small terrestrial globe is at least based on Schöner’s work. Schöner also printed books on how to use his globes, Luculentissima quaedam terrae tortius descriptio (A Very Clear Description of the Whole Earth) for his terrestrial globe and Solidi et sphaerici corporis sive globi astronomici canones usum (Manual for the Use of the Solid Spherical body and Astronomical Globe) for his celestial globe.

The demand for Schöner’s globes was very high and he could not fulfil it. In the 1520’s the Antwerp printer publisher, Roeland Bollaert had Schöner’s books but couldn’t get any of his globes. It was he who commissioned Franciscus Monachus (c. 1490–1565) together with Gaspar van der Heyden (c. 1496–c. 1549) to produce a terrestrial globe together with a descriptive book De Orbis Situ ac descriptione ad Reverendiss. D. archiepiscopum Panormitanum, Francisci, Monachi ordinis Franciscani, epistola sane qua luculenta. (A very exquisite letter from Francis, a monk of the Franciscan order, to the most reverend Archbishop of Palermo, touching the site and description of the globe), which he printed in  Antwerp, in 1524. None of the Monachus globes have survived.

In 1529, as Moller correctly pointed out Roeland Bollaert printed the second edition of Peter Apian’s Cosmographia as edited by the young Gemma Frisius. A year later he commissioned Frisius together with Gaspar van der Heyden to produce a new terrestrial globe and this is the globe that Moller describes as a combined terrestrial and celestial globe. For this Frisius wrote his De principiis astronomiae et cosmograpiae deque usu globi (Principles of Astronomy and Cosmography and the Use of the Globe), which was published by the Antwerp publisher Johannes Graheus. It is probably that Roeland Bollaert had died in the meantime. Monarchus had also acknowledged his debt to both Schöner and Peter Apian in his De Orbis Situ. None of these globes have survived. 

This globe “the first of several that he designed”! In 1536, Frisius produced, in imitation of Schöner, a matched pair of terrestrial and celestial globes. One of each has survived but the terrestrial globe has lost its stand. Interestingly, Frisius’ celestial globe uses for the constellations the images created by Dürer for the Stabius/Dürer/Heinfogel printed star maps that Moller didn’t think worth mentioning.  The globe from 1530 and the globe pair from 1536 were the only globes that Gemma Frisius produced. Moller claims the 1536 globe pair was commissioned by the Emperor Charles V, it wasn’t. Charles V granted him a patent which is something else altogether. 

Gerard Mercator, who was a pupil of Gemma Frisius, provided the italic inscriptions on the globe pair from 1536, Moller informs us:

Mercator had already made several maps by this point and had begun to use an Italian cursive script called cancellerescato mark up place names. 

Mercator’s earliest map, a wall map of the Holy land was produced in 1537 after he had finished work on Frisius’ globes. 

Having dealt with the history of Frisius’ globe production I’ll go back to Moller’s description of his publication in 1533 of the appendix to the third edition of the Cosmographia explaining triangulation. This she manages reasonably well although her explanation of triangulation is a bit terse. She then ruins it with the following:

Triangulation made it possible, for the first time, to correctly locate places on a map, to capture the vast tracts of the planet and plot them onto the page to scale. The whimsical maps of the Middle Ages like the Mappa Mundi in Hereford cathedral, which its absence of geographical knowledge, presented a vision of the cosmos based on imagination and faith, were gradually replaced by accurate charts and surveys.

I politely suggest that Moller takes a course of study in the histories of surveying and cartography. Whilst triangulation, as described by Frisius, improved the accuracy of surveying, map makers had been producing reasonably accurate maps long before Frisius was born, using other methods of surveying. Some of those methods were actually described in Peter Apian’s Cosmographia that Frisius took over. The Mappa Mundi in Hereford cathedral is one is termed a philosophical map and serves a different function, namely that of presenting a philosophical, in this case Christian, world view. She then goes off the rails with:

Maps enabled geography (the description of the world based on observation and measurement) to gradually eclipse cosmography (the conception of the universe based on philosophy and conjecture), changing the way humanity saw the world and how to approach it as an area of study.

I really don’t know where to begin in dismantling this wonderfully wrong pair of definitions. Perhaps we could start with the book that Ptolemy wrote in the second century CE, his Geōgraphik Hyphgēsis, lit. Geographical Guidance, which was titled in Latin in different edition both Geographia and Cosmographia. This was a collection of maps based as far as possible on observation and measurement, although it presupposed the philosophical assumption that the oecumene, i.e. Europe, Asia, Africa, constituted the entire world. Later the two words became distinguished, geography referring to what we now understand under the term, and cosmography referring to a description of the entire cosmos, which included geography as one of its constituents along with astronomy etc. Exactly that which Apian’s Cosmographia delivered. 

There are lots and lots of examples of maps based on observation and measurement, as far as it went, between Ptolemy’s Geographia and the invention of triangulation.

We now get a lot of filler about how the workshops in Louvain might have appeared, we don’t actually know, then Moller makes the following categorical claim: 

By the mid-1540s the workshops of Louvain were famous for producing the most accurate and most beautiful tools for studying astronomy that money could buy, eclipsing even the masters of Nuremberg.

This is hyperbolic hogwash. The instruments coming out of Louvain were indeed excellent quality but they did not eclipse the masters of Nuremberg. 

We get nothing almost nothing from Moller about Mercator’s cartographical work, although he is without doubt the most significant cartographer of the sixteenth century. We do get a longish account of his imprisonment on religious ground and then on his friendship with John Dee. Moller tells us that they spent their time discussing astrology. In this context she also claims: 

“Astrology had been under attack for several decades; Mercator and Dee were keen to ground it on a more scientific basis and place it within Copernicus’ new cosmographical framework.”  

Astrology was always under attack from somebody or other but I know of no  special state of attack in the first half of the sixteenth century: Steven Vanden Broecke has this to say about those discussions as related by John Dee:

Except for the present disc, Mercator has left no explicit record of his attitude towards astrology prior to his departure from Louvain to Duisburg in 1552. An important indirect source, however, is John Dee’s Propaedeumata Aphoristica (1558), which is dedicated to Mercator. After graduating from the University of Cambridge, the English polymath, John Dee (1527±1608) made two study tours to Louvain, one in the summer of 1547 and a second from June 1548 until at least July 1550. Apparently Dee spent much of his second stay at Louvain `learning and philosophizing ’ with Mercator. The precise content of these discussions is clarified in the preface: `Your next to last letter, in which you seemed to wish to refresh my memory of that noble debate formerly carried on between us, has given me an occasion to choose, in preference to all others, that subject which I am now to treat.’  

In other words, the topic of the Propaedeumata Aphoristica is the same as that of parts of Dee and Mercator’s debates at Louvain. Nicholas Clulee’s studies have established the Propaedeumata as Dee’s attempt to provide astrology with a firm physical and epistemological basis. In the common vein of Aristotelian natural philosophy, Dee explains that natural change is ultimately caused by celestial influence, adding the no less unexceptional conviction that such change is subject to a natural and predictable causality[1].

Traditionally Aristotelian, no mention of Copernicus!

Towards the end of the chapter Moller tells us:

Gemma died in 1555, and Mercator had left Louvain for the peace of Protestant Duisburg over the German border three years earlier, but the workshop continued to thrive under Gemma’s son Cornelius and his colleague Walter Arsenius. The number of instruments that survive suggest impressive production levels, and makers across the continent were influenced by the design and quality the city stood for, just as astronomers were enabled to make better, more accurate observations than ever before.

So much hogwash in one brief paragraph. Cornelius Gemma didn’t make instruments and in terms of the earlier comments on astrology in Louvain it is interesting to note that he shared in his father’s efforts to restore ancient Ptolemaic practice to astrology, drawing on the Tetrabiblos. What was that about Copernicus? Gualterus Arsenius, Gemma Frisius’ nephew, was the head of the family that actually produced the largest number of astronomical instruments in the Louvain workshop. The workshop was productive but no more or less so than other major European instrument workshops. The instruments from Louvain were no more accurate than those from earlier European workshops. 

Moller ramps up the stupidity a couple of lines further on:

The expertise in designing evermore accurate instruments enhanced the quality of observational data, its usefulness and status. This strengthened the role of instruments in the scientific enterprise; today, technology is so integral it is no longer possible to draw a line between the two. Modern astronomy is cutting-edge technology, and the complex telescopes that empower us to see into the darkest corners of the universe have their roots in the workshops of Louvain, and the standards and ideals that were generated there.

This is in the favourite expression of my friend the HISTSCI_HULK pure hyperbolics. The instruments makers in Louvain did not create any new or novel instruments and although their quality was high, their accuracy was not greater than other astronomical instrument makers in the sixteenth century. Lastly astronomy had been the cutting-edge technology for its time since at the latest Ptolemy. To suggest that modern astronomy has its roots in the workshops of Louvain any more than in the workshops of Nuremberg, of medieval Baghdad, ancient Alexandria or first millennium BCE Mesopotamia is quite simply bullshit.

Having entered Louvain with the young John Dee, Moller now takes us back with him to his house in Mortlake, in those days a small parish on the Thames about ten miles to the west of the City of London. Moller wishes to present Dee’s house and its library as one of her “Stargazer’s Palaces”. As with so many people who write about Dee she emphasises his occult activities whilst almost totally ignoring his scientific activities. She mentions, quoting Dee, that when he returned from Louvain he brought globes and scientific instruments with him, pointing out their scarcity in England at the time. Then she tells us:

Globes were not produced domestically until the 1590s, so the only way to get one, or two (from 1551 onwards the publication of Mercator’s celestial globe to go with the terrestrial one of 1541 set the fashion for them almost always being sold in pairs [my emphasis]), was to import them from abroad. 

Both Gemma Frisius and Mercator made matching pairs of terrestrial and celestial globes in imitation of Johannes Schöner, who “set the fashion for them almost always being sold in pairs.”

She mentions several times his financial problems and his difficulties in finding patrons/employment, whilst hardly mentioning his extensive, and historically very important, employment as an advisor and teacher of navigation, cartography etc. for the Muscovy Company amongst others. This is made even more bizarre, as she explains that Dee owned instruments designed by Richard Chancellor (c. 1521–1556). She writes:

Chancellor was a navigator who had been introduced to Dee by their mutual patron Sir Henry Sidney. He led voyages for the Muscovy Company which failed to find the Northeast Passage, but opened trade with Russia and took Chancellor to Ivan the Terrible’s court in Moscow.

She fails to mention that Dee, who worked as an advisor, teacher, and supplier of charts and instruments for ships masters and pilots of the Muscovy Company, was actually Chancellor teacher. He also wrote his The Astronomicall and Logisticall Rules and Canons to calculate the Ephemerides to be used on the first Northeast Passage voyage, by Willoughby and Chancellor.

We now get a classic, Moller writes:

Sailors needed instruments, especially astrolabes to help them navigate…

To quote David King, leading historian of scientific instruments and one of the greatest living experts on astrolabes, “astrolabes were never used for navigation.” In case you think she was referring to mariner’s astrolabe, she continues: 

…and one of these, now in a museum in Belgium, is engraved with Edward VI the Duke of Northumberland’s coats of arms. It was made in 1552 by Thomas Gemini, a founder of the instrument making trade in England, who was affected by the same religious persecution that pushed Mercator to flee Louvain and settle in the Protestant backwater of Duisburg. 

We then get the “life stories” of Thomas Gemini, Leonard Digges, and Thomas Digges all in one page of the book. …

At this point, as noted above I broke off in frustration!


[1] Steven Vanden Broecke, Dee, Mercator, and Louvain Instrument Making: An Undescribed Astrological Disc by Gerard Mercator (1551), Annals of Science, 58, 2001, 219-240 p. 226

Leave a comment

Filed under Book Reviews, History of Astronomy, History of Cartography, History of cosmography

From τὰ φυσικά (ta physika) to physics – LXI

More than twenty years would pass between Newton’s awakening and his extraordinary period of learning in the mid 1660s and his finally putting pen to paper and writing the Principia. That period of his life is one that in popular history is full of myths and legends. 

Image
Godfrey Kneller portrait of Isaac Newton 1689 Source Wikimedia Commons

The whole period starts with a tangle of myths. There is a myth that Newton already had the concept of universal gravitation, the central element of  his Principia, in the middle of the 1660s. Central elements of this are the apple story, both myth and legend, and the Annus mirabilis myth. I have dealt with the apple story in great detail here and am not going to repat myself. As I explained, also in great detail, the Annus mirabilis, in which it is claimed that in one year during the plague in 1665, the young Newton, he turned twenty-three in that year, basically discovered everything–calculus, optics, universal gravity–for which he later became famous. As I point out in my analysis this is total rubbish but the myth persists. In all of this, Newton himself is to blame because of claims that he made fifty years later:

In the beginning of the year 1665 … [claims about mathematics and optics]

And in the same year I began to think of gravity extending to ye orb of the Moon ] (having found out how to estimate the force with wch [a] globe revolving within a sphere presses the surface of the sphere) from Keplers rule of the periodic times of the Planets being in sesquialterate proportion of their distances from the centre of their Orbs, I deduced that the forces wch keep the Planets in their Orbs must [be] reciprocally as the squares of the distances from the centres about wchthe revolve: & thereby compared the force requisite to keep the Moon in her Orb with the force of gravity at the surface of the earth, & found them answer pretty nearly.[1]

In his Waste Book, a large notebook inherited from his stepfather, during this period Newton, inspired by Descartes, made three geometrical determination of circular motion none of which is of particular importance. Of interest is that at this time he didn’t accept the law of inertia. However, these determinations led on to his comparison of the “endeavour  of the Moon to recede from the centre of Earth” with the force of gravity at the surface of the earth. He found that gravity if somewhat more that 4,000 times as great. He also substituted Kepler’s third law (that the cubes of the mean radii of the planets vary as the squares of the periods) into his formular for centrifugal force [taken from Huygens]: “the endeavours of receding from the Sun [he discovered] will be reciprocally as the squares as their distances from the Sun.” Here was the inverse-square relation resting squarely on Kepler’s third law and the mechanics of circular motion.[2]

Newton’s elaboration, in old age, on what he had actually achieved in the 1660s was designed to silence his critics and to establish his priority for everything, at the time motivated by his dispute with Leibniz over the calculus. The comments on gravity were posthumously aimed at Robert Hooke (1635–1703) and Hooke’s claim that Newton had the concept of universal gravity from him. This goes back to an exchange from 1679, Newton in he meantime being occupied with teaching, mathematics, alchemy, and theology, having done nothing more on the question of gravity.

Following their bitter dispute over optics, Hooke having rudely dismissed Newton’s first paper from 1672, the two had had no contact. However, in 1679, Hooke now secretary of the Royal Society wrote to Newton to reestablish contact. He asked Newton if he was aware of his hypothesis on planetary motions as compounded of a tangential motion and “ an attractive motion towards the centrall body…” 

Hooke was referring to a remarkable paragraph that had concluded his Attempt to prove the Motion of the Earth (1647, republished in 1679 in his Lectiones Cutlerianae). There he had mentioned a system of the world he intended to describe.

This depends upon three Suppositions. First, That all Coelestial Bodies whatsoever, have an attraction or gravitating power towards their own Centers, whereby they attract not only their own parts, and keep them from flying from them, as we may observe the earth to do, but that they also attract all other Coeletial Bodies that are within the sphere of their activity  … The second supposition is this, That all bodies whatsoever that are put into a direct and simple motion, will so continue to move forward in a streight line, till they are by some other effectual powers deflected and bent into Motion. Describing a Circle, Ellipsis, or some other compounded Curve Line. The third supposition is, That these attractive powers are so much more powerful in operating, by much how much the nearer the body wrought upon is to their own Centers. Now what these several degrees are I have not yet experimentally verified …[3]

Hooke is on the way to the concept of universal gravity but hasn’t arrived there yet. He is, however, obviously progressing past the concept that each planet has its own gravity, as expressed, for example, by Copernicus in De revolutionibus. His second supposition is obviously the principle of inertia and he correctly defines the dynamic elements of orbital motion. It is, however, important to note that whilst Hooke gives a good verbal account of his hypothesis on planetary motions he doesn’t provide a rigorous mathematical demonstration of it, and in fact never did. The difference between what Hooke achieved and what Newton would go on to do was summed up very neatly by Alexis Clairaut (1713–1765), after reviewing Hooke’s work, he wrote:

“what a distance there is between a truth that is glimpsed and a truth that is demonstrated”[4]

On the basis of this letter Hooke later claimed that he had given Newton the concept of universal gravitation. Newton countered by saying that Hooke’s letter had merely returned his thoughts to a topic that he had already thought through earlier. The exchange between the two disputatious scholars continued on the subject of how an object would fall from a high tower if the earth was moving. Newton made a mistake in his analysis of the case, which Hooke corrected, surprisingly mildly, and the exchange petered out. 

We now arrive at the legend that supposedly led to Newton putting pen to paper and writing the Principia. This is the infamous coffee house meeting in London between Hooke, Christopher Wren (1632–1723) and Edmond Halley (1656–1742) following a meeting of the Royal Society in January 1684. I’ve described this in detail in an earlier post but I will give a brief summary here. The question raised during the conversation is, given an inversed squared law of gravity would this lead to Kepler’s elliptical planetary orbits and his three laws. Wren offered a prize of a book worth forty shillings–that’s two pounds and one should remember that ten pounds p.a. was a labourer’s wage–to the first to provide a demonstration that this was indeed the case. Hooke claimed that he already had the solution but would only reveal it when the other two had failed to find one.

 In August, Edmond Halley travelled to Cambridge and visited Newton in his chambers. Whether he had gone there to specifically put the question to Newton or he was there on other business and took the opportunity to do so, is not known. 

According the Newton’s account as told to Abraham DeMoivre many years later, Halley asked Newton, “what he thought the Curve would be that would be described by the Planets supposing the force of attraction towards the Sun to be reciprocal to the square of the distance from it. Sir Isaac replied immediately that it would be an Ellipse…” Here was Newton claiming to know the answer to Wren’s question. Halley asked Newton how he knew it and he replied, “I have calculated it…”

Newton searched for this calculation but failed to find it but then promised Halley that he would send him the solution. Although Newton’s search seems like a charade, the claimed earlier solution really did exist:

Recently a copy of the demonstration has been identified. In it, began (as he later asserted) by demonstrating Kepler’s law of areas. Using the law of areas and accepting Hook’s definition of the dynamic elements of orbital motion, he showed first that the forces vary inversely as the square of the distance at the two apsides of an ellipse and then the same relation holds for every point on an ellipse. If the inverse-square relation initially flowed from the substitution of Kepler’s third law into the formula for centrifugal force under the simplifying assumption of circular orbits, the demonstration  of its necessity in elliptical orbits far excelled in difficulty what had been a simple substitution. In fact, the demonstration, which probably dated from early 1680, was one of the two foundation stones on which the concept of universal gravity rested.[5]

In November of 1684, Halley received his solution in the form of the nine page manuscript De motu corporum in gyrum ( On the Motion of Bodies in an Orbit) brought to him by Edward Paget, a young fellow of Trinity College. 

Not only did it demonstrate that an elliptical orbit entails an inverse-squared force to one focus, but it also sketched a demonstration of the original problem: An inverse-square force entails a conic orbit, which is an ellipse for velocities below a certain limit. Starting from postulated principles of dynamics, the treatise demonstrated Kepler’s second and third laws as well. It hinted at a general science of dynamics of a projectile through a resisting medium.[6]

Halley realised that he was in possession of a potential revolution in celestial mechanics. He immediately returned to Cambridge to talk to Newton about this treatise and on 10 December made a report to the Royal Society:

Mr. Halley gave an account, that he had lately seen Mr. Newton at Cambridge. Who had shewed him a curious treatise, De motu; which, upon Mr Halley’s desire, was, he said, promised to be sent to the Society to be entered upon their register.

Mr Halley was desired to put Mr. Newton in mind of his promise for the securing his invention to himself till such time as he could be at leisure to publish it. Mr. Paget was desired to join with Mr. Halley.[7]

Newton now set about revising his manuscript for publication with the same intensity and single mindedness that he had devoted to the study of the modern mathematics and sciences in the period between 1664 and 1670. The revision took the best part of three years and the final product the three volumes of his Philosophiæ Naturalis Principia Mathematica (The Mathematical Principles of Natural Philosophy) finally appeared in July 1687.  

Image
Newton’s own copy of Principia with Newton’s hand-written corrections for the second edition, now housed in the Wren Library at Trinity College, Cambridge Source: Wikimedia Commons

[1] Richard S. Westfall, Never at Rest: A Biography of Isaac Newton, CUP, ppb. 1983, p. 143

[2] Westfall p. 152.

[3] Westfall p. 382.

[4] Quoted by W.W. Rouse Ball, An Essay on Newton’s Principia (Macmillan, 1893) p. 69 via Wikipedia

[5] Westfall pp. 387-88

[6] Westfall p. 404

[7] Westfall p. 404

4 Comments

Filed under History of Physics, History of science, Newton

Me & Country Joe

This is one of my occasional autobiographical posts and has nothing to do with the history of science so, if you come here just for that you can skip this post. I also chronicles the heavy use of psychedelic drugs so, if you have problems with that, once again you can skip this post. 

On Saturday 7 March, the singer, songwriter, musician, and political activist, Joseph Allen McDonald, better known as Country Joe, died of complications from Parkinson’s in Berkeley California. Country Joe and his music wove their way through my life over many years and left strong traces in my development.

As I have documented elsewhere, my mother died under tragic circumstances of a heart attack at Christmas in 1966. My brother had already left home and was in fact already married and father of my eldest nephew. My two sisters, both older than me, left home in the summer of 1967 to begin their careers, leaving just me and my father in the family home. We left the village in northeast Essex, where I grew up, and moved to London where my father worked. He decided it would be better if my education was not interrupted and so I entered the boarding  house of the grammar school in Colchester, where I had spent the first four years of my secondary education, in the autumn of 1967.  To say that I was not a happy bunny would be an understatement and I slowly drifted ever more into a malaise, which ended with me getting expelled at the end of the academic year 68/69. 

My father now got me admitted to Holland Park Comprehensive School the flag ship of the Labour Government’s comprehensive education policy. It counted both Stephen and Hilary Benn, the sons of Anthony Benn the notorious Labour politician, and the step children of Roy Jenkins, the future President of the European Commission, amongst its pupils. Also attending were Damien and Nico Korner the sons of blues musician Alexis Korner, who served as chairman of the PTA. The school was huge but had a comparatively small sixth form, of which I was now a member. Like myself many of the sixth formers had been expelled from other schools, many of them from notable public schools.

At this point in my life, I was living with my father and first step mother in Colville Place, which is just off Tottenham Court Road in the West End. Not long after I started at Holand Park one of my fellow students introduced me to DSK a crazy white Rhodesian Jew, his description, who had been expelled from both Westminster Public School and Holland Park, who lived not far away from where I lived, in Grape Stret, which is behind the Shaftsbury Theatre, long time home of the musical Hair. I had already started smoking dope shortly before getting expelled in Colchester and DSK introduced me to LSD, or as we called it Acid. 

We became best friends and I spent most of my free time together with him, smoking vast quantities of dope and dropping acid about once a week. DSK was a minor dealer so my drug consume didn’t cost me anything. We would wander around the streets of Soho at night tripping out of our heads, stopping at the all night Whimpey Bar for sustenance. We attended concerts, I saw Sly and the Family Stone high as a kite at the Lyceum Theatre, a truly mind blowing experience but very often we just stayed in DSK’s room listening to albums whilst exploring the psychedelic stratosphere. Much Pink Floyd  and Sid Barrett’s The Madcap Laughs found their way regularly onto the turntable but two albums had the biggest impact on me and my future development. Firstly, the Grateful Dead’s Live Dead, which made me a lifelong Dead Head and which remains my all time favourite album and secondly Country Joe and the Fish, Electric Music for the Mind and Body, the start of a lifelong love affair with the music of Country Joe.

Image
Source: WikimediaCommons

 This was the age of the big rock festivals and in the summer of 1970, the Bath Festival of Blues and Progressive Music was announced with a stellar line up including Led Zeppelin, Pink Floyd, Flock, It’s a Beautiful Day, Jefferson Airplane, Santana, Frank Zappa and the Mothers of Invention, and many others but I wanted to go because Country Joe was on the bill. To earn the money for a ticket and the coach fare  to Bath I worked for a time in the Fitzroy Taverne legendary watering hole of the Bloomsbury Set, Dylan Thomas, Augustus John and many others. At the appointed time I duly took a coach to Bath and then a bus out to the festival site in Shepton Mallet. 

From the beginning the festival fulfilled all expectations, with one superb set following another. On Saturday evening, Led Zeppelin took to the stage and delivered up three hours of pure dynamite. The people who care about such things rate it as possibly their best ever live performance. I grew increasingly worried because I knew that Country Joe was due to follow them onto the stage with just an acoustic guitar and I feared he would die a death.

To add to my fears, by the time Country Joe finally took to the stage after midnight it was raining quite heavily. With his acoustic guitar strapped to his chest Country Joe walked up to the solitary microphone in the middle of the stage. “Is this microphone working?” It obviously  was. “Sorry about the rain.” “GIVE US AN F!” 150, 000 people gave him an F and we were off with Fixin’ to Die Rag. In a masterful demonstration of charisma Country Joe captured the audience completely and delivered up a wonderful set of his songs finishing up with Fixin’ to Die Rag twice as encores. The audience wanted more. Country Joe explained that he was currently recording an album of poems about WWI and he would now play one of them but it was a long, quiet song and the audience would have to be very still. He then played Jean Desprez a ballad about a young boy who tried to save a wounded French soldier, its almost ten minutes long. It was still pissing down but you could have heard a pin drop. As he finished I think more than half the audience had tears in their eyes. The album War War War is superb

After the festival was over I travelled down to South Wales and my second summer season working on the archaeological excavation of a Roman fort in Usk, run by University College Cardiff. Whilst there I got presented with an end of first year Cardiff student, who had absolutely no digging experience, and told to teach him how to dig. We soon discovered that we had both just come from the Bath Festival and went on to become best friends and are still in contact fifty five years later. 

In autumn 1970, I went up to University College Cardiff to study archaeology despite having royally screwed up my A-levels, too much dope and acid! Through the people I had already got to know at Usk I immediately became a Student’s Union insider and, amongst other things began to work for the Union Events, the group that ran the concerts, as a stagehand, on the door, fly poster and whatever. I continued to do so long after I dropped out in 1971 at the end of my first year.

In 1973, Country Joe released his excellent Paris Sessions album of largely feminist songs recorded with a largely female band. He took this on the road and they played a gig at Cardiff Students Union. A friend of mine was Events secretary in that year and I asked him if I could manage to concert on that evening, he said yes. So, I came to meet Country Joe in person. As they were setting up I got into conversation with Pete Albin, the bass player from Big Brother and the Holding Company, who played base in the Paris Sessions band. And he told me a lot about the history of Country Joe’s music and political career. Later I found myself with the man himself and his road manager in the artists dressing room. We were smoking dope and drinking Newcastle Brown Ale. I told him that I had seen him at Bath and he responded, “ Hundred thousand of you fuckers sitting in the pouring rain and you could have heard a pin drop!” I then asked him if he would perform a solo set before the band set for me and sing Jean Desprez. He said he would and then turned to his road manager, “Do you know why I stopped doing solo concerts?” “No.” “I’m scared shitless of the audience!” This is a man who berated 300,000 at Woodstock for not singing loud enough! 

Later I was stood out in the concert hall with his very cute lady drummer wrapped up in my arms, don’t ask,  listening to him sing Jean Desprez for me. The lady turned to me and said, “I sit behind him every evening but you know I’ve never seen him perform. He’s good isn’t he?”

Sometime later, I can’t remember the exact year, I attended a superb duo concert of Country Joe and Barry Melton, the original fish guitarist, in the then new students union building in Cardiff.

The next highpoint came in 1976, when I finally got to hear the original Country Joe and the Fish lineup live. There was a Bob Marley and the Wailers open air in the football stadium in Cardiff. Country Joe and the Fish were one of the support acts on their reunion tour. I would have attended for Bob Marley but Country Joe and the Fish sealed to deal. On the day of the concert it was pissing down but we had tickets so we went in anyway. We spent the day in the roofed over stands , whilst the field, which was slowly turning into a swamp, where the audience would usually have stood remained empty. Because of the downpour les than 2000 people attended and the promoter went bankrupt. Despite the weather the concert was great and Country Joe and the Fish were the final act on before Marley. The local Rastas, who had come for the Wailers and didn’t want to hear some sixties San Fran hippie band, were restless  and basically jeered when they took the stage. Barry Melton looked out into the rain and said, “In California we call this liquid sunshine,” and they took off. It was pure magic and by the end the Rastas were loudly calling for encores. Ironically it was the last day that it rained before the drought of 76!

There is one final strange episode to my Country Joe odessey. In 2015, I got invited to participate in SciFoo the major unconference, which took place at Google in Mountain View. I flew in in advance to San Francisco and went to Oakland to visit the National Council for Science Education because I knew one of the prominent workers from the Internet. At some point I got introduced to the then Executive Director Eugenie Scott. She lives in Berkley and I can’t remember how the conversation took the turn but it turned out that her next door neighbour was Country Joe!

I still own Electric Music for Mind and Body. In fact, I own four copies the original mono album from 1967 that I bought in 1969, the stereo remix from 1969 that I acquired sometime later and the double CD, one disc is the original mono mix and the other is the stereo mix. Now Country Joe has departed from us, which has stirred up a lot of memories leading to this very personal post. 

5 Comments

Filed under Autobiographical

Was Christianity necessary for the invention of science?

What follows is a classic Renaissance Mathematicus rant! I haven’t had a really good rant in some time and this one was provoked by the following exchange on TSMSFKAT[1]. It’s quite long and I include all of so that you can get the full picture.

The timeline was started by Nancy Pearcy who is a professor at Houston Christian University, which is a private university affiliated with the Baptist General Convention of Texas so we know what her prejudices are. She is also a fellow at the Discovery Institute, which says all one needs to know about her perception of science. The Discovery Institute reject evolution and propagates intelligent design.

Nancy Pearcey @NancyRPearcey

Well-known science writer Loren Eiseley points out that many great civilizations have risen and fallen without developing the scientific method–which implies that that it requires some kind of “unique soil in which to flourish.” And what is that unique soil? To his own surprise, Eiseley discovered that: “It is the Christian world which finally gave birth in a clear, articulate fashion to the experimental method of science.” Why is that? Eiseley goes on to explain that “Science began its discoveries . . .in the faith, not the knowledge, that it was dealing with a rational universe controlled by a Creator who did not act upon whim nor interfere with the forces He had set in operation.” (Darwin’s Century) Eiseley is using the term “faith” not to say it was irrational but in the sense that it had to PRECEDE actual scientific investigation. Before science can get off the ground, certain tacit assumptions have to be in place–for example, that there is an intelligible order in nature–what we call “laws” of nature. Here’s how one historian put it: “The use of the word ‘law’ in such contexts [in talking about nature] would have been unintelligible in antiquity, whereas the Hebraic and Christian belief in a deity who was at once Creator and Law-giver rendered it valid.” (A. R. Hall, The Scientific Revolution, 1500-1800)

However, she was reacting to a quote from the effluent spewing apology for an academic Jordan Peterson, who had this to say for himself.

“With the death of God, many other things die… one of the things that dies when God dies is science—and no one expected that.” Why? Science isn’t neutral—it’s built on unprovable religious-like axioms: – Truth exists – Truth is understandable – Understanding truth is good – Good itself is real Those aren’t scientific claims. They’re metaphysical. Strip away the foundation of “good” (and God), and the whole pursuit collapses. Peterson: The gap between believing in good and believing in God? “Very narrow.” In a world obsessed with “facts only,” is he right that pure atheism undermines the very enterprise of science?

When I read this total piffle from Jordi P, I picture his sitting in a padded cell in a straight jacket flustering his inanities to an apparition standing in the corner that only he can see. 

Pearcey in response tells us, quoting Loren Eiseley (1907–1977), an anthropologist and philosopher, that it was Christianity that gave birth to the scientific method . She goes on to back up this claim with a quote from historian of science, A. R. Hall (1920–2009). Hall was a leading figure in the establishment of the modern history of science in the 1950s and 60s. However, he was a man caught in his own prejudices who got an awful lot wrong. 

Sarah Salviander, PhD astrophysicist and Christian, now takes up the cudgels for Christianity as not just the catalyst of the scientific method but of science itself and progenerated the Scientific Revolution

Sarah Salviander @sarahsalviander

A lot of people believe science was inevitable, like humanity was just progressing in that direction or it was an emergent property of civilization. That’s not at all the case. You don’t get science unless you first believe in the possibility of science. That’s why Christianity provided the unique set of beliefs that finally set off the Scientific Revolution.

Michal J A Paszkiewicz @MichalYouDoing amongst other things translator into English of Riccioli’s Almagestum Novum(1651) now joined the discussion with a perfectly reasonable and historically correct comment.

Christianity helped science considerably, but wasn’t a prerequisite. Astronomy, for example, has been an exact science for over 5000 years.

Sarah Salviander @sarahsalviander now let loose a major heap of codswallop 

It hasn’t, though. Ancient people were excellent at tracking celestial motions, but that was for a variety of non-scientific reasons mostly to do with calendars, timekeeping, navigation, and astrology. For thousands of years, people thought the Earth was at the center of the universe. They didn’t really care if that was an accurate representation of nature, because it didn’t matter as long as the model yielded accurate predictions. Copernicus posited a Sun-centered model for its simplicity and elegance, which was championed by Galileo who supported it (albeit imperfectly) through observation. It was finally made into a highly-precise scientific model by Kepler, a deeply devout Christian who for several years pursued a fraction-of-a-degree difference between the data and the model, because he believed in God’s precision. It wasn’t until Kepler that astronomy became a mathematical science. I encourage you to read “The Soul of Science” by Pearcey and Thaxton to understand why the unique set of ideals and assumptions of Christianity were necessary (though not sufficient) for the rise of modern science.

Michal J A Paszkiewicz @MichalYouDoing responds with a very reasonable, historically accurate 

It has, though. See e.g. John North’s “Cosmos”, which presents hundreds of pages of evidence of this. The problem of discarding “calendars, timekeeping, navigation, and astrology” as non-scientific is this just becomes a tautological demarcation. Even if timekeeping and navigation weren’t a science – they are (and those scientists working on accurate timekeeping would be deeply upset you had said this) – the reason for building the mathematical models, testing them, and updating the models doesn’t change whether it is a science or not. You could similarly discard a large part of Christian involvement in Early Modern astronomy, as they were similarly primarily interested in calendars, timekeeping, and navigation (see eg p.1 of Heilbron’s “the Sun in the Church”). Discarding astrology is also problematic, as parts of ancient astrology were directly connected to real physical phenomena that occurred. For example, we know well that the ancient Egyptians could accurately predict when the Nile floods would happen based on celestial observations. The same methods would have been accurate up until the 1960s. Things we consider parts of geophysics today used to be part of astrology – such as predicting the tides. Of course there were a lot of other things included in astrology, and it took a long time to segregate that from the rest. But this segregation was all part of the scientific process. Not discovering heliocentrism isn’t a valid way of forming a demarcation theory either. It is entirely arbitrary. Why not make it the moment of discovery of our galactic motion? Or going further back, the moment of discovery of Earth’s sphericity, the abandonment of homocentric spheres, the abandonment of the central fire, or perhaps the first step out of arithmetic to geometric celestial models? You said it yourself – they cared about accurate predictions. Isn’t that what scientists strive for? Copernicus wasn’t the first to strive for simplicity and elegance. Ptolemy did the same, as did Hipparchus before him, and Plato before him. Why, the Metonic cycles were simple and elegant. Islamic and Indian scholars were also making advances in astronomy through the medieval period. Copernicus benefited not only from European work, although transmission was rarely direct. Why decide that Kepler’s work was the first “mathematical science”? Because it was more accurate than the one before? Every step along the way had improved on previous accuracies. Once again, an arbitrary distinction. I follow Pearcey and read what she writes. But here she and Thaxton are off the mark. Christianity did a lot for science. Both in terms of providing a worldview that helped, in building a stable society that had time for it, and though funding it at great expense. It was perhaps necessary for the achievements of science having come as far as they are today, but Christianity wasn’t necessary for science in general.

Sarah Salviander doubles down introducing the term modern science as if it were something other than science and citing the cliché that the Scientific Revolution began with Copernicus, implying that Copernicus is ‘modern Science’. 

I appreciate your explanation, but I still disagree. Just because something is methodically studied or modelled doesn’t make it modern science. The Scientific Revolution is considered to have begun with Copernicus, and for a reason.

Enter the HISTSCI_HULK  stomping into the timeline in  hobnailed boots!

What you are spouting is a childish, fantasy version of the history of astronomy, which isn’t even entertaining.

Sarah Salviander is naturally indignant

Perhaps I’m naive, but I’m fairly optimistic that if Michal and I were having this conversation in person, you wouldn’t insert yourself and try to insult me this way. The three of us might even have a productive conversation. But with a screen and probably thousands of miles between us, you feel compelled to disagree with me this way. Which is fine – it’s your right. But I find it very odd.

I replied in my usual style.

There is no other to express the rubbish that you are spouting without writing a 5000 word essay on the real history of science.

Before I analyse Ms. Salviander’s version of the history of science in general and the history of astronomy in particular, I would point out that if we were sitting in a café having this discussion, I might choose other words but I would react in exactly the same way to the rubbish she is spouting.

In her reply to Michal’s correct comment that astronomy has been a science for 5000 years, Ms. Salviander stacks the deck by introducing her own arbitrary definition of what constitutes science. Leaving astrology out of it, she cancels the scientific status of navigation, calendrics, and timekeeping, all of which normally enjoy the status of being applied sciences. She then drops a bomb:

For thousands of years, people thought the Earth was at the center of the universe. They didn’t really care if that was an accurate representation of nature because it didn’t matter as long as the model yielded accurate predictions.

The ancient astronomers did care very much that their cosmologies were an accurate representation of nature. They observed the cosmos empirically and drew a picture based on what they had observed. They were being scientific. Their models yielded accurate predictions because they were models based on empirical observation.

Salviander continues:

Copernicus posited a Sun-centered model for its simplicity and elegance, which was championed by Galileo who supported it (albeit imperfectly) through observation. It was finally made into a highly-precise scientific model by Kepler, a deeply devout Christian who for several years pursued a fraction-of-a-degree difference between the data and the model, because he believed in God’s precision. It wasn’t until Kepler that astronomy became a mathematical science.

Copernicus posited a Sun-centred model in order to get rid of the Ptolemaic equant point. It was neither simple nor elegant; in fact, it was more complex than the then current geocentric model from Peuerbach. None of Galileo’s observation directly supported a heliocentric model. The phases of Venus observed by several astronomers refuted a pure geocentric cosmos but were compatible with a Capellan or Tychonic geo-heliocentric model and not just a heliocentric one, and they did not require the Earth to move for which there was absolutely no empirical evidence.

I can’t escape the feeling that Salviander means here that ancient astronomers didn’t really care if that was an accurate representation of nature because their model was not heliocentric, or as she puts it Sun-centred. I have to repeat something that I’ve said many times over the years, viewed from the Earth the cosmos is geocentric, i.e. the Earth’s at the centre. From the surface of the Earth you can’t observe that the cosmos is heliocentric, which is what makes the mental leap that Aristarchus and Copernicus took so extraordinary.

Kepler did indeed produce the most accurate mathematical model using Tycho’s data but even he couldn’t get around the fact that there was no empirical evidence that the Earth moved in anyway whatsoever. 

The statement “It wasn’t until Kepler that astronomy became a mathematical science” is the most mind-blowing piece of ignorance about the history of astronomy that I have ever encountered. The Babylonians had sophisticated algorithmic algebraic models of the cosmos at the latest in the middle of the first millennium BCE. The Greeks preferred using geometry and Eudoxus produced his homocentric spheres model of the cosmos in the fourth century BCE. In the same century his model was improved by Callippus and then further improved by Aristotle. All three models one hundred percent mathematical.

In the second century CE, Ptolemaeus produced his deferent-epicycle model based on earlier work by Apollonius. Once again, one hundred percent mathematical. In the medieval period various Islamic astronomers criticised and improved the Ptolemaic model most notably in mathematical terms, Nasir al-Din al-Tusi in the thirteenth century and Ibn al-Shatir in the fourteenth century. 

Copernicius’ model was total based on the Ptolemaic model incorporating the work of both al-Tusi and al-Shatir. Astronomy had always been a mathematical science ever since the astronomers in Mesopotamia had begun to track the movement of the celestial bodies, way back in the third millennium BCE. 

I will now turn my attention to the central claim of the discussion, that Christianity was pivotal in the creation/invention of the Scientific Method. First of all, we have the problem, what exactly is the scientific method or for that matter what is science? 

Alan Chalmers published a very successful book in 1976, titled What is This Thing Called Science? In which he attacked the empiricists answer to this question. Probably the most well know philosopher of science is Thomas Kuhn with his paradigms and paradigm shifts, although the people who most often quote his name or the terms don’t actually know what a paradigm or a paradigm shift are. However, he is not alone. How about Popper and falsification, Feyerabends’ Anything Goes, Lakatos’ Methodology of Scientific Research Programmes, Toulmin’s Evolutionary Model? I could go on for hours, I spent ten years at a leading German university studying history and philosophy of science or in German, Wissenschaftstheorie und Wissenschaftsgeschichte, but I think you get the picture. There have been literally hundreds of attempts to produce a clear definition of science, since at least Aristotle, including such famous names as Bacon and Descartes, Hume and Kant. There is still no clear winner in the philosophical debate. It gets even worse if you get down to basics. Science comes from the Latin scientia the translation of the Greek episteme. They both mean simply knowledge but what is knowledge? Go ask the epistemologists but be prepared for an answer that takes six months to explicate and leaves you no wiser when they’ve finished. 

We now turn our attention to scientific method, Pearcey quoting Loren Eiseley states “It is the Christian world which finally gave birth in a clear, articulate fashion to the experimental method of science,” having previously stated that many great civilizations have risen and fallen without developing the scientific method–which implies that that it requires some kind of “unique soil in which to flourish.” It is the Christian world which finally gave birth in a clear, articulate fashion to the experimental method of science.” Why is that? Eiseley goes on to explain that “Science began its discoveries . . .in the faith, not the knowledge, that it was dealing with a rational universe controlled by a Creator who did not act upon whim nor interfere with the forces He had set in operation.” What we have here is the combination of two myths. Firstly, that the concept of an ordered nature governed by laws is a Christian concept and secondly that the scientific method first came into being in the Early Modern Period. Both claims are quite simply hogwash.

On the myth that the concept of a law governed nature is Christian, I will simply quote Wikipedia:

In Europe, systematic theorizing about nature (physis) began with the early Geek philosophers and scientists and continued into the Hellenistic and Roman imperial periods, during which times the intellectual influence of Roman lawincreasingly became paramount.

The formula “law of nature” first appears as “a live metaphor” favoured by Latin poets Lucretius, Virgil, Ovid, Manilius, in time gaining a firm theoretical presence in the prose treatises of Seneca and Pliny. Why this Roman origin? According to [historian and classicist Daryn] Lehoux’s persuasive narrative, the idea was made possible by the pivotal role of codified law and forensic argument in Roman life and culture.

For the Romans … the place par excellence where ethics, law, nature, religion and politics overlap is the law court. When we read Seneca’s Natural Questions, and watch again and again just how he applies standards of evidence, witness evaluation, argument and proof, we can recognize that we are reading one of the great Roman rhetoricians of the age, thoroughly immersed in forensic method. And not Seneca alone. Legal models of scientific judgment turn up all over the place, and for example prove equally integral to Ptolemy’s approach to verification, where the mind is assigned the role of magistrate, the senses that of disclosure of evidence, and dialectical reason that of the law itself.[2]

Put simply, you won’t find a guide to the laws of nature anywhere in the Bible, this is a philosophical concept that Christianity absorbed from Neo-Platonism and Stoicism in its early years. 

Myth one disposed of, now onto the scientific method. This time I’m going to quote myself from an earlier blog post. 

Rather like the terms the greatest or the father of, inventor of the scientific method is an attribute that has been applied to a myriad of scholars down through the ages, Aristotle, Archimedes, Ibn al-Haytham, Galileo, Bacon (both Roger and Francis), Descartes and Newton are just some of the more prominent historical figures who invented the scientific method. Makes for kind of a crowded field doesn’t it?

The real problems start when one tries to define what exactly “The” scientific method actually is. In reality there isn’t any such animal. There are a related family of methods and practices that have been used over the centuries to produce, test and question scientific hypotheses and theories, not one single golden method.

The next problem is that these methods and practices are not exclusive or restricted to science but are procedures that are used in problem solving in almost all areas of human activity. However, if I just refer to them as methods of problem solving it doesn’t seem so impressive and at the same time it robs science of its claim to being special.

All these methods consist of is the application of logical reasoning about a problem to form a hypothetical solution, the testing of that hypothetical solution and the repeated application of logical reasoning to analyse the results of those tests. It is literally impossible to judge when humanoids first started using this approach to solve problems.

Even if we restrict ourselves to the areas of human activity subsumed under the concepts of science and technology we will never be able to find “the inventor”. Every early potter used this methodology to find better clays for his pots, better methods of firing his kilns, better materials and methods for glazing, which one of them could be said to have invented the scientific method? The same applies to brick makers, tanners, dyers, metal smelters, metal workers, the makers of flint tools and a dozen other groups of hand workers and craftsmen.

I can hear Pearcey and Salviander loudly protesting but potters, brickmakers et al are not scientist and they are not doing science. The whole point is that the scientific method is not confined to science it is a universal rational method of problem solving. Next, they protest but we meant utilising mathematics. Alright, Archimedes in the third century BCE used the scientific method and mathematics in his mechanics, Ptolemaeus in the second century CE and Ibn al-Haytham in the tenth century CE both used the scientific method with mathematics in their optics. None of them lived in the Early Modern period and none of them were Christians. Archimedes, by the way, was Galileo’s role model.

Having built up a full head of steam I could go on and on about the inanities spouted by wanna be historians and philosophers of science particularly those like Pearcey and Salviander blinded by their preconceived prejudices, in their case religious, but I think I’ve said enough for the time being. 


[1] TSMSFKAT:– The Social Media Site Formerly Known As Twitter

[2] The passage is paraphrasing Daryl Lahoux, What Did the Romans Know? An Inquiry into Science and Worldmaking, (University of Chicago Press, 2012) an excellent book that I warmly recommend

15 Comments

Filed under History of Astronomy, History of science, Myths of Science, Uncategorized

England’s first printed-globe maker

The Earth is a sphere, or more precisely it’s an oblate spheroid, that is it is flattened at the poles and has a bulge at the equator. However, the deviations from a true sphere are minimal so, it can be regarded as a sphere for everyday purposes. It is mathematical impossible to simply flatten out the surface of a sphere without distortion. All two-dimensional  maps of the surface of the Earth employ a projection and all projections result in a distortion of one sort or another. The most well know map projection, the Mercator Projection, named after the Flemish cartographer Gerard Mercator (1512–1594), distorts area, meaning that land masses get bigger than they really are the further away from the equator they are. Greenland, which has 2,166, 086 km2, appears greater than Africa, which is fifteen times greater with 30,370,000 km2. This has led to all sorts of arguments about the use of the Mercator Projection, with people claiming falsely it is used to express European superiority over the global south.

The Ancient Greeks already knew that the Earth is a sphere and were aware of the problems of map projection. Ptolemaeus (fl. 150 CE) , who with his Geographike Hyphegesis (Greek: Γεωγραφικὴ Ὑφήγησις; lit. ’Guide to Drawing the Earth’) wrote the most important book on cartography before the Early Modern Period, which contained three different map projections, actually stated that the only accurate way to present the surface of the Earth is with a globe. 

No terrestrial globes have survived from antiquity. Although, there appear to be quite a number of surviving Islamic celestial globes there don’t appear to be any surviving terrestrial ones. There are some records of earlier European terrestrial globes from the fifteenth century, the earliest surviving terrestrial globe, is the Behaim Globe, or Erdapfel,  in Nürnberg designed by Martin Behaim (1459–1507). The sphere was made by Hans Glockengiesser (a family name that translates as bell founder) and Ruprecht Kolberger. The map was painted by Georg Glockendon (d. 1514) and the lettering was done by Petrus Gegenhart. Up till then, all globes were unique, hand crafted, one offs, so-called manuscript globes. The advent of printing in the fifteenth century would change this.

Image
Martin Behaim’s Erdapfel

The earliest known printed globes were the small globes made by Martin Waldseemuller (c. 1470–1520) of his 1507 world map, the first to name America. None of the actually globes survive but there are four sets of surviving globe gores.

Image
Globe gores for the Waldseemüller world map Source: Wikimedia Commons

Serial production of printed globes first took off with the work of the Nürnberger mathematicus, Johannes Schöner (1477–1547), who produced his first printed terrestrial globe in 1515, also based on Waldseemüller’s world map, and a matching printed celestial globe in 1517. Thus, establishing the tradition of matching terrestrial and celestial globe pairs. Schöner produced a new printed globe pair in 1533/34. 

Image
Johannes Schöner’s 1515 printed terrestrial globe Source: Wikimedia Commons

It is clear from correspondence that Schöner was very successful and sold quite a large number of globes but only a couple of his globes have survived. Schöner was not the only Nürnberger mathematicus, who produced globes. We know that Georg Hartmann (1489–1564), who acted as Schöner’s globe salesman in Nürnberg when Schöner was still living in Kirchehrenbach, also manufactured globes, but none of his have survived. 

Both Waldseemüller, with his map, and Schöner, with his globes, published an accompanying cosmographia, a booklet, consisting of instructions for use as well as further geographical and historical information. An innovative printer/publisher in Louvain reprinted Schöner’s cosmographia, Lucullentissima quaedam terrae totius descriptio, and commissioned Gemma Frisius (1508–1555) to make a copy of Schöner’s globe to accompany it. Frisius became a globe maker, as did his one-time student and assistant Gerard Mercator (1512-1594), who went on to become the most successful globe maker in Europe.

Image
Source
Image
Gemma Frisius’ 1536 terrestrial globe Source: Wikimedia Commons

At this time England had no globe makers and the first time printed globes entered England was in 1547, when John Dee (1527–c. 1608) returned to England following his first period of study under Frisius and Mercator in Louvain bringing with him, amongst other mathematical instruments, a pair of Mercator’s globes. It would be another four decades before someone began to make printed globes in England, that someone was Emery Molyneux (d.1598).[1]

We know next to nothing about Molyneux. The one time Tuscan mercenary soldier,  calligraphist and illuminator on vellum, Petruccio Ubaldini (c.1524–c.1600), who worked in England during the reign of Elizabeth I, knew Molyneux and said he was ‘of obscure and humble family background.’ He was probably the Emery Molynox who was presented as William Cooke’s apprentice to the Stationers’ Company in October 1557, suggesting a birthdate around 1543. By the 1580s he had gained as reputation as an able mathematician and maker of mathematical instruments, working in Lambeth to the south of London. Through his business he became acquainted with Richard Hakluyt (1553–1616), and the explorers John Davis (c. 1550–1605), Walter Raleigh (c. 1553–1618), and Thomas Cavendish (1560–1592), as well as the mathematicians Edward Wright (1561–1616) and Robert Hues (1553–1632). He even went to sea with Francis Drake, possibly on the circumnavigation of 1577–1580, as Ubaldini reports ‘He himself has been in those seas and on those coasts in the service of the same Drake’. In his Pathway to Perfect Sayling (1605) Richard Polter commented that Molyneux had been a skilful maker of compasses and hourglasses.

Molyneux and Wright conceived the idea of building globes to promote England’s maritime achievements and it is probable the John Davis introduced them to his patron the rich London merchant William Sanderson (? 1548–1638). The early voyages of exploration and discovery undertaken by English mariners were actually commercial endeavours undertaken in the hope of finding rewarding opportunities for trade. To undertake such voyages the mariners needed to find backers to finance them with the hope of sharing the  potential profits. Sanderson was one such backer. He was the leading sponsor of Davis’ voyage to search for the Northwest passage. He served for several years as a kind of financial manager for Walter Raleigh. Symbolically he named his first three sons Raleigh, Cavendish, and Drake. Sanderson took on Molyneux and Wright’s globe project providing £1,000 initial funding, the equivalent to more than £170,000 in 2017.

Image
Molyneux’s large terrestrial globe National Trust Pentworth House via Wikimedia Commons

As can be seen above Molyneux was embedded in a group of mariners and mathematical practitioners, who cooperated with each other in their endeavours and it was not other with the production of his first terrestrial globe. He gathered information from the navigators and from the rutters, handbooks of written sailing directions, and pilots, navigational handbooks. Edward Wright helped with plotting coastlines and provided some of the Latin translations of the inscriptions. The globe contained the routes of circumnavigations of Drake in red and Cavendish in blue. 

After Molyneux had prepared the manuscript gores these were then engraved and printed by the Flemish engraver and printer Jodocus Hodius (1563–1612).

Image
Jodocus Hondius on a 1619 engraving by his wife Colette van den Keere Source: Wikipedia Commons

Born in Wakken, a village in West Flanders, he grew up in Ghent where he began at the age of eight an apprenticeship as an engraver. In 1584 he fled to London because of religious difficulties in Flanders. In 1587, in London he married Colette van den Keere (1568–1629) the daughter of Hendrik van den Keere (c. 1540–1580), a punch cutter who worked for the printer-publisher Christophe Platin  (c.1520–1589) in Antwerp, and sister of Pieter van den Keere (c. 1571–c. 1646) engraver, publisher and globe maker, who did a lot of cartographical engraving whilst in England. The van den Kerre family had also fled to England around the same time for the same reason. Colette Hondius would later manage her husband’ business in the Netherlands. In England Hondius was particularly associated with publicising the work of Francis Drake. He also engraved charts for the The Mariner’s Mirrour (1588) the English translation of the Spieghel der zeevaerdt (1584) by the Dutch cartographer Lucas Janszoon Waghenaer (c. 1534–c. 1606), as did Augustine Ryther (fl. 1576–1593). The whole English and Dutch cartographical and navigational scene was wheels within wheels in the second half of the sixteenth century. 

Image
Frontispiece of ‘The Mariner’s Mirror’ (1588) written by Lucas Jansz Waghenaer (1533-1606)

Molyneux made a matching celestial globe which was basically a copy of Mercator’s celestial globe of 1551, which was itself based on Gemma Frisius’ 1537 globe, which Mercator had also worked on. Molyneux added the constellations Southern Cross and Southern Triangle to his celestial globe, which he seems to have taken from the diagram of the Antarctic sky by the Italian explorer Andrea Corsali (1487–?) published in 1551.

Image
Molyneux’s large celestial globe Middle Temple via Wikimedia Commons
Image
Mercator’s 1551 celestial globe Source: Wikimedia Commons

In 1589, Richard Hakluyt announced the forthcoming publication of Molyneux’s terrestrial globe at the end of the preface to The Principall Navigations, Voiages and Discoveries of the English Nation. Referring to the map that was inserted into the volume—a reproduction of the “Typus Orbis Terrarum” engraved by Franciscus Hogenberg for Abraham Ortelius’ Orbis Terrarum (1570)—he wrote:

I have contented myselfe with inserting into the worke one of the best generall mappes of the world onely, untill the comming out of a very large and most exact terrestriall globe, collected and reformed according to the newest, secretest, and latest discoveries, both Spanish, Portugall and English, composed by Mr. Emmerie Molineux of Lambeth, a rare Gentleman in his profession, being therin for divers yeeres, greatly supported by the purse and liberalitie of the worshipfull merchant M. William Sanderson. (Wikipedia) 

Molyneux’s globes were the first globes that were not affected by humidity at sea. They were constructed out of flour-paste, as related by the notorious astrologer Simon Forman (1552–1611):

the only way to caste [anything] whatsoever in perfecte forme … and yt is the perfectest and trewest waie of all wayes … and this was the wai that Mullenax did use to cast flowere [flour] in the verie forme (Bodl. Oxf., MS Ashmole 1494, fol. 1491)[2]

Ubaldini’s letters to the Duke of Milan detail Molyneux’s progress on their construction: the first pair were presented to Queen Elizabeth at Greenwich in July 1592; another terrestrial globe was presented with entertainments at Sanderson’s house in Lambeth. The largest and most prestigious globes, bought by royalty, noblemen, and academic institutions, cost £20 each. One example of this first edition survives at Petworth House, Sussex, and a later one, dated 1603 and bearing the arms which had by then been conferred on Sanderson, is now preserved with its matching celestial globe in Middle Temple Library, London.[3]

Molyneux’s large globes were prestige objects for rich customers and patrons or potential patrons. However, he also made small globes for navigators and other mathematical printers that cost as little as £2 but of which none have survived. As was the common practice, to explain the globes, guides to the use where written and published. Molyneux wrote one, The Globes Celestial and Terrestrial Set Forth in Plano, which Sanderson published in 1592 but of which none have survived. Earlier in 1590, Thomas Hood (1556–1620), Mathematicall Lecturer to the Citie of London, had written and published his The Vse of Both the Globes, Celestiall and Terrestriall. In 1594, Thomas Blundeville (c. 1522–c. 1606) in his Exercises containing six treatises including Cosmography, Astronomy, Geography and Navigation in 1594. His third treatisewas as follows:

Item a plaine and full description of both the Globes, aswell Terrestriall as Celestiall, and all the chiefest and most necessary vses of the same, in the end whereof are set downe the chiefest vses of the Ephemerides of Iohannes Stadius, and of certaine necessarie Tables therein con∣tained for the better finding out of the true place of the Sunne and Moone, and of all the rest of the Planets vpon the Celestiall Globe.

A plaine description of the two globes of Mercator, that is to say, of the Terrestriall Globe, and of the Celestiall Globe, and of either of them, together with the most necessary vses thereof, and first of the Terrestriall Globe, written by M. Blundeuill. 

This ends with A briefe description of the two great Globes lately set forth first by M. Sanderson, and the by M. Molineux.

The first voyage of Sir Francis Drake by sea vnto the West and East Indies both outward and homeward.

The voyage of M. Candish vntothe West and East Indies, described on the Terrestriall Globe by blew line.

Also published in 1594 was Richard Hues’ Tractatus de Globis et Eorum Usu (Treatise on Globes and their Use), which went into at least 13 printings and was translated from Latin into Dutch, English and French. Edward Wright’s Certaine Errors in Navigation, published in 1599, included commentary on the use of the terrestrial and celestial globes developed by Molyneux.

Molyneux changed tracks in the 1590s and sought Elizabeth I’s patronage for the production of a new type of cannon. On 27 September 1594, the Queen granted Molyneux a gift of £200 and an annuity of £50. He chose to surrender the latter when, sometime between March or April 1596 and 4 June 1597, he and his wife Anne emigrated toAmsterdam in the Netherlands. It seems that he wanted to distribute his globes to other European princes and Amsterdam, which was fast becoming the centre for globe and map-making, served this purpose better. Either Molyneux or Hondius, who had returned tom the Netherlands in 1594, took the printing plates for the globe with them. 

The States General of the Netherlands showed more interest in Molyneux’s proposed cannon, granting him a twelve year privilege on a similar invention on 26 January 1598. On 6 June Molyneux lodged a second application, but he died in Amsterdam almost immediately afterwards.

On 1 April 1597, Hondius was granted a ten-year privilege to produce a terrestrial globe. In the same year he produced a Dutch translation of Hues’ Tractatus de Globis et Eorum Usu.

Image

Despite a legal challenge by Jacob van Langren (c. 1525–1610), a cartographer and globe maker, who had been producing  both terrestrial and celestial globes, together with his son Arnold, from about 1586 and who had been granted a monopoly by the States General in 1592, Hondius was granted another ten-year privilege on 31 October 1598. Hondius and  his major competitor Willem Janszoon Blaeu (1571–1638), and their families would go on to turn Amsterdam into Europe’s major centre for cartography and globe production in the seventeenth century.

The Molyneux globes caused quite a cultural and social stir in Elizabethan England towards the end of the sixteenth century but following his departure from London and subsequent death, nobody took up the task of continuing to provide, the obviously in demand, printed globes for the practical mathematical community. It would be about sixty years before another craftsman took up the challenge of providing printed terrestrial and celestial globes in England.


[1] This post is largely taken from Susan B. Maxwell, Molyneux, Emery (d. 1598), ODNB, Print 23 September 2004, Online 23 September 2004, This version 03 January 2008 and the Wikipedia article which is itself largely taken from Maxwell or directly from her sources.

[2] Maxwell Note 1

[3] Maxwell Note 1

3 Comments

Filed under History of Astronomy, History of cosmography, History of Navigation, Renaissance Science, Uncategorized

From τὰ φυσικά (ta physika) to physics – LX

In the hyperbole of popular history of science Newton’s Philosophiæ Naturalis Principia Mathematica (The Mathematical Principles of Natural Philosophy) often gets labled one of the most important, if not the most important, works in the history of science. If you ask people why it is so regarded most of them will probably reply, because he discovered the law of gravity. As I like to point out Newton didn’t discovery the law of gravity he proved it, which is something else altogether. And although it played a central role in what is the true reason for the significance of Newton’s Principia, it is of itself not the reason. What Newton acheived with his magnum opus was to demonstarted that there exists only one set of laws of mechanics for the terestrial and celestial regions thus breaking a dichotomy in natural philosophy that Aristotle had set up two thousand years early. 

Image
Source: Wikimedia Commons

Aristotle had divided the cosmos into two seperate zone, the sublunar, everthing below the Moon’s orbit, and the supralunar, everything above the Moon’s orbit. According to him different rule existed in the two areas for motion, creating seperate celestial and terestial mechanics. The Stoics produced a philosophy that lifted Aristotles dichotomy but Aristotle won the battle of philosophical systems and his strict division ruled from his own time down to the Early Modern period. 

According to Aristotle the only natural motion in the sublunar sphere was fall straight down to the earth for which he produced a mechanical theory that was factually wrong. He also produced a theory of projectile motion that was even more wrong. In the sixth century John Philiponus began to demolish Aristotles theories of motion showed by experiment that his theory of fall was wrong and introduced the theory that would become the impetus theory for projectile motion. Philiponus’ theories were taken up and expanded by various Islamic scholars. 

In the fourteenth century the Oxford Calculatores and the Paris Physicists anticipated much of Galileo’s work on the laws of fall. In the sixteenth century Tartaglia made further progress on the theory of projectile motion. Throughout the century others made contributions to the discussion on the laws of fall and Tartaglia’s one time student, Giambattista Benedetti (1530–1590), formulated much of the theory of falling bodies attributed to Galileo fifty years before Galileo did so. 

Entering the seventeenth century Guidobaldo dal Monte and Galileo show that the path of a projectile is a parabola and Isaac Beeckman introduced the correct law of inertia. Galileo of course showed experimentally that the Oxford Calculatores were correct and Aristotles theories of fall and projectile motion had been replaced by the laws that we know today. 

However, his theory of the dichotomy between the terrestrial and celestial spheres remained fairly intact till well into the sixteenth century. According to Aristotle the only motion within the celestial realm was perfect, uniform circular motion. It was the job of the astronomers to provide mathematical models to explain away the obvious contradictions between this cosmological prescription and the actual observed motions of the planets. These mathematical models were regarded as useful fictions to calculate the positions of the planets but were not considered to represent reality, this was described by the Aristotelian cosmological model. 

Whereas the terrestial sphere consisted of four elements–water, earth, fire, air–and was subject to change and decay, the celestial sphere consited of the fifth element aether or the quintessence, which was eternal and unchanging. The planets were carried around in nested crystaline sphere driven by a sort of friction model with the outermost sphere moved by the unmoved mover, God in the Christian version of the Aristotelian cosmos. 

Aristotle’s requirement that the celestial sphere was eternal and unchanging led to  his declaration that comets were atmospheric phenomena and it would be comets in the sixteenth century that led to the downfall of Aristotle’s cosmology. Already in the fifteenth century Toscanelli (1397–1482) became the first astronomer to observe comets as if they were celestial objects and track the flight paths. At the same time Regiomontanus tried to measure the paralax of a comet to determine whether it was sub- or supralunar. In the 1530s, a series of comets led to an anewed debate amongst the leading European astronomers on the nature of comets and whether they were sub- or supralunar. This debate coincided with a renewed interest in Stoic philiosophy. The Stoics having rejected Aristotle’s sublunar-supralunar dichotomy had hypothesised that comets were a celestial phenomenon. This debate provoked further intense interest in the question.

In the 1570’s there was a supernova in 1572 followed by a great comet in 1577. Both occurences were shown to be supralunar and Aristotle’s cosmology suffered a serious blow from which it never recovered. The heavens were not  eternal and unchanging and the path of the comet showed that the spheres could not exists. Beyond this the creators of two new, albeit contradictory, mathematical models of the cosmos, the heliocentric model of Copernicus and geo-heliocentric model of Tycho Brahe and their supporters did not accept that their models were useful fictions but insisted that they represented reality. War had been declared between the astronomers, and between the astronomers and the philosophers. A war that would continue for much of the seventeenth century. 

In 1609, Johannes Kepler, who with his elliptical orbits and his three laws of planetary motion, mathematical laws based on Tycho Brahe’s acculmalated observational data, introduced another heliocentric model claiming to be real. He realised that without the spheres a new source of motion for the orbits was necessary and became the first to introduce the concept of a force keeping the planets moving in their orbits. He hypothesised a force analogous to William Gilbert’s magnetism. In 1666, Giovanni Alfonso Borelli (1608–1679) built on Kepler’s concept of forces driving the planets around their orbits. 

Torricelli created the barometer, which seemed to show the existence of a vacuum, something that Aristotle had deemed impossible. Amongst others, Pascal took Torricelli’s work further, showing that air had weight and the vacuum really did exist. However, Descartes refused to accept the existence of the vacuum and having adopted the corpuscular theory from Beeckman filled space with a sea of fine corpuscles in which the planets were carried around not by the forces of Kepler and Borelli but by vortexes.

The above is a brief sketch of a some of the history that has been presented in various episodes of this series. It is intended to describe the state of the developments in terrestrial and celestial mechanics that existed in the second half of the seventeenth century and that the erosion and replacement of the concepts of Aristotle that had held sway on the medieval European university was a gradual process that took place not over years or decades but centuries.

As Newton began to emerge as a serious scholar the complete new terrestrial mechanic existed and had even been brought together in the work of scholars like Christiaan Huygens. The situation in the celestial sphere was somewhat different. By that time the majority of astronomers had accepted Kepler’s elliptical heliocentricity, although the debate about his second law was still rumbling on. However, more scholars accepted Descartes’ corpuscular vortexes than the forces hypothesised by Kepler and Borelli. Also, the terrestrial and celestial spheres were still handled separately.

In the next episode we will see how Isaac Newton confronted by the diverse elements terrestrial and celestial mechanics that existed, when he became interested in them, took them, modified them and welded them into a single unit.

6 Comments

Filed under Uncategorized

Al-Ghazali did not put a stop to Islamic science

It is an established fact that medieval Islamic science rose to spectacular hights and then declined, explaining both aspects is the job of the historian of science. Unfortunately, as in other areas of the history of science a number of myths concerning medieval Islamic science exist. A very widespread myth is that the highly influential Shafi’i Sunni Muslim Iranian polymath Abū Ḥāmid Muḥammad ibn Muḥammad Ghazālī Ṭūsi (C.1058–1111), commonly known as Al-Ghazali, put an end to Islamic science with the publication of his Tahāfut al-Falāsifa (The Incoherence of the Philosophers). It is a myth that the professional windbag and proliferator of myths about the history of science, Neil deGrasse Tyson, often repeats. 

Image
Al-Ghazali Source: Wikimedia Commons

My #histsci colleague, the estimable Tim O’Neill, author of the always excellent History for Atheists, has already thoroughly debunked in a blog post that you can read here. However, I recently stumbled across a wonderful empirical refutation of the hypothesis that I thought I would post here for reference. In a discussion of the fifteenth century observatory of Ulugh Beg in Samarquand, the existence of which is in itself a refutation of the Al-Ghazali myth, Sally P. Ragep writes[1]:

The number of students whom Kāshī reports were engaged in studying the mathematical sciences in Samarquand are staggering but still feasible. [Kāshī informs his father that there are about 500 students studying mathematics in twelve places scattered throughout Samarquand…p. 143] Even taking into account Kāshī’s propensity to exaggerate. He depicts the existence of a well-established group of assembled scholars and students who were devoted to the study of the mathematical sciences at that time. So in an attempt to shed more light on what numbers may (or may not) indicate about what was being studied, table 6.1 presents the findings of a preliminary survey of fifteenth-century works on Islamic astronomy. It shows that roughly 120nauthors wrote about 489 treatises during what we call the long fifteenth century (taking into account authors who began writing in the late fourteenth century as well as those who continued into the early sixteenth): and their works represented by several thousand extant manuscripts witnesses located in repositories throughout the world.

The subject matter can be classified broadly as practical and theoretical, and these topics include cosmology (both celestial and terrestrial reals), instruments, handbooks (zījes) and tables, calendars, timekeeping and astrology. 

Image

Al-Ghazali put an end to Islamic science????


[1]Sally P. Ragep, Fifteenth Astronomy in the Islamic World, in Rivka Feldhay & F. Jamil Rageop eds., Before Copernicus: The Cultures and Contexts of Scientific Learning in the Fifteenth Century, McGill- Queen’s University Press, 2017, pp. 143-160, p. 144

Leave a comment

Filed under History of Astronomy, Myths of Science

Correctly orientated

Jerry Brotton is Professor of Renaissance Studies at Queen Mary University of London and to judge from his page on Wikipedia a bit of an intellectual pop star in England with quite a lot of radio and television programmes to his credit. He is the author of The Renaissance: A Very Short Introduction (OUP, 2006), which pleasingly sets his direction as a Renaissance historian in that he very much emphasises that the Renaissance was not just a North Italian or European occurrence but involved global cross cultural influences. 

Brotton is a very prolific author, who according to Wikipedia:

… writes about literature, history, material culture, trade, and east-west relations, particularly in the sixteenth and seventeenth centuries. He employs interdisciplinary approaches, looking at art, politics, history, travel writing and literature. 

Several of his publications concern map making and it was through his best seller  History of the World in Twelve Maps (Allen Lane, 2012) has been translated into twelve languages and was accompanied by a three-part series on BBC Radio4, that I first came across him.

Image

An excellent book if I may say so. One strong point of the book is in explaining that contrary to modern popular belief north does not have to be at the top of a map. In fact, at different times in different cultures maps could and did have other orientations. Medieval European Mappa Mundi, for example, had east at the top, i.e. they were truly orientated, and medieval Islamic maps had south at the top. I wrote a whole blog post about this topic that borrowed heavily from Brotton’s book.

Brotton has now taken this theme and expanded it as the subject of his most recent book, Four Points of the CompassThe Unexpected History of Direction.[1] 

Image

According to the acknowledgements a book that started life as another series on BBC Radio 4. The opening chapter Orientation open rather surprisingly with NASA’s Blue Marble, the first picture of the complete earth taken by astronauts. Brotton explains that the original image had the south pole at the top and that NASA flipped the picture when then published it because people were used to north being at the top.

Image

Brotton goes on to explain, as I did above,  that although most modern maps have north at the top this was by no means standard in earlier times and other cultures. He then explains that the cardinal points although actually arbitrary are defined rather naturally. The sun rises in the east and sets in the west and the position of the sun at mid-day defines the north south line. At mid-day in the northern hemisphere the sun in due south and in the southern hemisphere due north. Thus, the sun on its daily journey defines the four cardinal points. 

Brotton now explains that north, south, east, and west are words and that then can and do take on other meanings in other contexts. He uses the Wittgensteinian term language games to describe the numerous verbal contexts that the four words can appear in with a wide variety of meanings. He gives a very strong example in that the oldest use of the four cardinal directions on a Mesopotamian map actually refers to wind directions, a usage that became common throughout history. The introduction closes with a fairly long look at the story of the compass, an instrument for determining cardinal directions.

Image

There follows a few words on the order in which the four cardinal directions are enunciated, as opposing pairs, north-south, east-west, clockwise, north, east, south, west, or the Chinese way east, south, west, north. In the chapters that follow each of which is dedicated to one of the four, Brotton has opted for a different system, he follows the sun. Starting in the east, passing through the zenith at middy defining the south-north line and then setting in the west. 

Each of the chapters is filled with a myriad of the uses of the cardinal direction term featured in numerous different cultures, languages, eras, showing the wide variations that the specific contexts give to the term. In the East chapter, for example, he looks at the history of the European perception of the East, the Orient. Each of the terms taken under the magnifying  glass can have both positive and negative connotations. In English, for example, the South can stand for the so-called global south a perceived collection of poor, underdeveloped countries but of the other side it can stand for warm sunlit beaches and palm trees in desirable holiday resorts. A detailed analysis of all the examples Brotton elucidates would make this review as long if not longer than his book. 

However, I will expend a few words on the final chapter on the West. Through out antiquity and much of western or European history, the west had strong negative connotations. It’s where the sun went to die every day so, it became associated with death and decay. This began to change when the Europeans first stumbled upon the Americas. Suddenly the west was a new world a world of possibilities and chances epitomised in the North American slogan “Go West young man!”

Image

Having opened his book with the NASA’s Blue Marble his final chapter is named The Blue Dot, but it is not named after that other iconic image of the Earth from space. Brotton opens with some personal remarks on living in East Berlin and the collapse of the Wall in 1989, living as a northerner in Southern England, and living in South Africa before moving on to the introduction of digital maps and Apples introduction of a blue dot on their maps in the iPhone to show viewers how to get from here to there. This serves as an introduction to a discussion as to whether the reliance on digital maps on computing devices will cause people to lose their sense of place.  

There are a total of twenty-three very good colour illustrations placed together in the centre of the book. However, an art director thought that it would be cool to reproduce these on glossy, deep black pages, which I personally found anything but attractive. I suppose it’s a matter of taste!

Brotton’s book has extensive endnotes for each chapter giving the sources for the information contained in the chapter. There is, however, no separate bibliography listing those sources. The book concludes with an extensive index. 

Brotton has obviously invested an awful lot of work over the years reading and cataloguing all of the widespread references to the four terms that form the subject of his book and which he has here presented in a continuous narrative. He writes well and have a very accessible style and I found it both fascinating and entertaining to read the efforts of his endeavours. However, in the end I couldn’t help asking myself what the actual purpose of the whole enterprise is and who is this book even aimed at. I enjoyed reading it but have no idea who I would recommend it to. 


[1] Jerry Brotton, Four Points of the CompassThe Unexpected History of Direction, Allen Lane, 2024.

2 Comments

Filed under History of Cartography

War of the Wheels – The Wheelie Bin vs. The Wheelchair

Over my lifetime the wheelie bin has become the standard receptacle for the disposal of household rubbish. The are usually fairly large capacity, easy to clean so, reasonably  hygienic and their collection by municipal services is comparatively simply and cost effective. It require just one garbage truck and one driver.

Image
German wheelie bins Source: Wikimedia Commons

On collection day they are placed out on the side of the road, on the sidewalk and the garbage truck drives passed halting briefly for its mechanical arm to pick up the bin and empty it into its interior, before replacing back on the side walk and therein lies the rub.

I have suffered from a degenerative spinal and pelvic girdle orthopaedic/neurological condition for more than thirty years. Since about fifteen years this has resulted in increasing difficulty in walking. By the beginning of last year, I was down to about five hundred metres with hiking poles before I needed to take a substantial break. In the autumn I suffered another major decline in my ability to walk. On a good day, I can now manage ten metres without aids, but those are very uncertain and with a high risk that I will fall. I have little or no stability. With my hiking poles or my rollator, I can manage about fifty metres, probably less. In my flat I use my rollator more than ninety percent of the time, although my flat is very small. For longer distances I am now dependent on my trusty electric wheelchair. Although not so extreme as my legs I suffer from similar problems with my arms so, I lack the strength necessary for a normal wheelchair.

Image
The Mathematicus Moble

My Mathematicus Mobile is very zippy, has a top speed of 6 kph and can literally turn on a dime. I’m very happy with the boost in mobility that it has brought me. I can even travel with it on the bus and up till now the bus drivers were all very friendly and helpful. When it came to opening the ramp so, I could get on and off. But now back to the wheelie bins.

On refuse collection day, and there are separate ones for, household refuse, recyclable plastic, and waste paper, the bins are lined up along the sidewalk. If the sidewalk is wide enough, I can usually get past with my wheelchair without any problems. However, if the bins are not on the edge of the sidewalk but scattered all over it, which is often the case after the garbage truck driver throws them back empty, I have difficulty getting past.  However, I have learnt to shove them out of the way with one hand whilst steering my wheelchair with the other. I’m also very adroit at clearing shopping trollies out of the way in supermarkets. The problems start when the sidewalks are narrow, as is the case in the side-street in which I live. If the wheelie bins are out on the sidewalk, even if the stand correctly on the edge, there is not enough space for me to get passed. And I’m forced to driver on the road! Just one of the minor irritants one has to live with when mobility disabled.

4 Comments

Filed under Autobiographical

From τὰ φυσικά (ta physika) to physics – LIX

Towards the end of the last episode of this series where I outlined the early life of Isaac Newton, I noted that between 1664 and the early 1670s, he undertook one of the most impressive period of self-study ever. That period I outlined in a post debunking the myth of the mythical Annus mirabilis. A large part of that time was devoted to the experimental study of light, in particular what Newton terms “the phenomenon of colour.” Before Newton it was in general believed that colour resulted through the changing of white light by external influences, becoming discoloured when passing through a prism or a lens, for example. His research showed, as we all know today, that white light itself is actually composed of a myriad of colours each of which has a different index of refraction, the spectrum being produced by white light being refracted. The rainbow is produced by sunlight being refracted by drop of rain water. These discoveries led to Newton’s first appearances in public as a natural philosopher. The first of which was a resounding success and the second boarding on a disaster.

Image
Godfrey Kneller portrait of Isaac Newton 1689 Source: Wikimedia Commons

Before addressing these we need to catch up with Newton’s progress with in the University of Cambridge. In 1669, Isaac Barrow (1630–1677) resigned as Lucasian Professor of Mathematics and recommended the then twenty-six year old Newton as his successor, a recommendation that was accepted by the college authorities and the young Isaac was duly installed.

Image
Portrait of a young Isaac Barrow by Mary Beale (1633–1699) Source: Wikimedia Commons

This simple historical fact throws up several red flags. Firstly, by 1669 Newton had published absolutely nothing, he was a blank sheet but he gets appointed to a professorship? His extreme talent for mathematics had obviously become known to Barrow, who after all recommended him, as probably did others, and he seemed to be the best man for the job so, he was appointed. I once wrote a whole blog post titled, “Only 26 and already a professor” in which I analysed the seemingly extraordinary fact of a twenty six year old unknown being appointed to what is now regarded as the most prestigious chair for mathematics in the world. 

In fact, in its early decades the Lucasian chair was anything but prestigious. Its raise to fame would first begin with Newton’s later career and then be extended by the long list of famous mathematicians and physicists who followed Newton as its occupants. In those early years it was in fact totally insignificant and on the basically still Aristotelian university it almost literally interested no one. This was why Barrow resigned; it didn’t appeal to his self-image. Very, very few students found their way to Newton’s lectures if at all and he oft lectured to an empty lecture hall cutting his lecture short and going back to his chambers. However, it did have a salary, meaning Newton was free to get on with his intensive research.

In the late 1660s Newton’s main area of activity was his research into optics and he now preceded to make an appearance outside the university walls on two levels, practical and theoretical. 

His research had shown him that light was made up of a spectrum of colours each with a different index of refraction. This had major consequences for lenses and telescopes. The images in seventeenth-century telescopes was anything but sharp. They were fuzzy with coloured fringes. It was assumed that this was due to spherical aberration. A spherical lens does not focus all the rays passing through it at a single point but over a mall stretch, leading to a diffuse image. This had been first identified by Ibn al-Haytham (965–c. 1040) in his Kitāb al-Manāẓir, which had been translated in to Latin as De Aspectibus or Perspectiva and was very well known. The theorectical solution was also known. Lenses needed to be ground in other forms–parabolic, hyperbolic–however, people lacked the technical know how to achieve this. It was known that increasing the focal length of the objective lens reduced the spherical aberration leading to the spectacular aerial telescopes of Christiann Huygens (1629–1695) and Johannes Hevelius (1611–1687).

Image
The 140ft telescope of Johannes Hevelius Source

Newton realised that lenses, which are basically prisms, also suffered from chromatic aberration and that this contributed much more to the diffuse image than the spherical aberration. Newton thought that it would be impossible to constuct a lens free of chromatic aberration, a major scientic error in his life, and so he set about construction a telescope that used a mirror to focus the incomming light rays instead of a lens, a reflector.

Newton was by no means the first to think of using a mirror in place of a lens to focus light rays. The reflector telescope has a history that begins with Hero of Alexandia (1st century CE?) as I have documented here. As Newton was still an undergraduate, the Scotish mathematician and astronomer James Gregory (1638–1675) had published a design for a reflecting telescope in his Optica promota (1663) but found the mirrors too difficult to construct. He then moved to London with the hope that London’s best lens-maker, Richard Reeve, could make his mirrors, but he was also unable to achieve the necessary quality to produce a usable image.

Image
Source: Wikimedia Commons

The isolated school boy, Isaac Newton had spent much of his time constructing things with his hands. During his time a grammar school in Grantham the stories say that he made furniture for the doll’s house of the step-daughter of Mr Clarke the apothecary in whose house he lodged. He also made a working model of a windmill which he mounted on the roof of the house. Now having decided that a reflector was the solution to chromatic aberration in telescopes, he set his manual talents to building one. He cast the mirror using an alloy of his own making consisting of copper, tin, and arsenic, which give the mirror a white surface colour, and devised a new method of grinding and polishing, using pitch, to polish the surface. He built the tube and the mounts. The telescope was only about six inches long but magnified nearly forty time in diameter, which made it more powerful that a six foot refractor. This was in 1668 and in 1671 he made a second one which at the urgings of Isaac Barrow he sent to the Royal Society in London, which immediately elected him a fellow in January 1672. The recluse, Isaac Newton, had arrived on the public stage.

Image

It should be noted that although Newton had cracked the problem of producing a functioning reflecting telescope, it was found almost impossible to repeat his success. It was first fifty years later that the mathematician John Hadly (1682–1744) developed ways to make precision aspheric and parabolic objective mirrors for reflecting telescopes. Going on to manufacture both Newtonian and Gregorian telescopes.

In the same year Newton sent a letter to the Royal Society outlining his optical experiments with prisms and the conclusions he had drawn from them: 

A Letter of Mr. Isaac Newton, Professor of the Mathematicks in the University of Cambridge; Containing His New Theory about Light and Colors: Sent by the Author to the Publishee from Cambridge, Febr. 6. 1671/72; In Order to be Communicated to the R. Society

Image

If he had only expected praise for his scientific endeavours he must have been disappointed. 

The two leading experts for things optical, at this time, were Robert Hooke (1635–1703) in London and Christian Huygens (1629–1695) in Paris, both of whom reacted very negatively to Newton’s paper. When asked for his opinion by Oldenburg, the secretary of the Royal Society, Huygens was at first lukewarm and did not appear to see anything new in Newton’s work, implying that he had not really read the paper, but, when pressed, rejected Newton’s theories out of hand. Newton was enraged and in his reply addressed Huygens, a leading figure in European natural philosophy, as if he were addressing a particularly ignorant schoolboy. Huygens said that if the discussion was to be conducted at that level, he would not contribute.

One of Newton’s major problems was that he had used his discoveries to support his own view that light was corpuscular in nature; he argued that the refracting medium imparted spin to a light particle (in the same way as a tennis player imparts spin to the ball, Descartes influence can clearly be seen here), and the different indexes of refraction are a result of the different degrees of spin imparted to the particles of each colour. Both Huygens and Hooke had developed wave theories of light, and it was Hooke who took up the attack.  He interpreted Newton as saying that his theory of colour was dependent on a corpuscular theory of light.  Yet, as he, Hooke, had already philosophically demonstrated that light was propagated in waves, then Newton’s theory must be wrong. This was just the main one of many criticisms that Hooke brought that led to a very tempestuous exchange of letters through Oldenburg over a period of several years.

At first Newton was content to answer, and he even showed that his theory worked equally well for a wave theory of light at the same time producing the best mathematical model for such a theory in the 17th century. A Serie’s of Quere’s Propounded by Mr. Isaac Newton, to be Determin’d by Experiments, Positively and Directly Concluding His New Theory of Light and Colours; and Here Recommended to the Industry of the Lovers of Experimental Philosophy, as they Were Generously Imparted to the Publisher in a Letter of the Said Mr. Newtons of July 8.1672 published  in the Philosophical Transactions of the Royal Society.  

During this period Newton worked on a long exhaustive essay on optics covering all of his research work up until this time, which he intended to publish in the Philosophical Transactions as a glorious rebuttal of all of his critics.  However, Hooke did not let up, and Newton was further beset by criticisms from Ignace Gaston Pardies (1636–1673), a highly respected Jesuit scientist living in Paris who was also something of an expert for optics, and a second Jesuit, the Englishman Francis Hall (1595–1675), also known as Linus of Liège. The dispute with Pardies passed off relative quietly, but the one with Linus dragged on for six years and was continued by his student John Gasgoines after Linus’ death.

Although Linus was not a well-known philosopher, his objections are interesting and significant from a methodological point of view: he complained that he had been unable to repeat Newton’s experiments! This was not an isolated incident as the same thing occurred to Italian Newtonians at the beginning of the 18th century. In the case of the Italians, it turned out that the problem lay in the quality of the glass prisms that they were using and when they replaced them with better quality glass they were able to achieve the same results as Newton.  One can assume that something similar happened in the case of Linus, but we will never know.

The results of this mass of criticism were fairly monumental.  Newton’s patience, never very good at the best of times, gave out. He withdrew the extended optics essay that he had been writing and refused to have any more direct dealing with the Royal Society until 1704.  He never established a relationship with Huygens. The feud with Hooke was patched up, only to break out again in the 1680s when Hooke accused Newton of having stolen the inverse square law of gravitation from him (but that, as they say, is another story). In fact, Newton’s first venture into publishing as such a disaster that he published nothing else until 1687, when he published his magnum opus Philosophiæ Naturalis Principia Mathematica ( The Mathematical Principles of Natural Philosophy)[1]

In 1704, now that both Huygens and Hooke were finally dead, Newton published, in English, that “long exhaustive essay on optics covering all of his research work up until this time”, expanded into his Opticks: or, A Treatise of the Reflexions, Refractions, Inflexions and Colours of Light.

Image
Source: Wikimedia Commons

A Latin edition was published in 1706. Opticks is the most comprehensive volume on the topic published in the early modern period and it covers all then known areas of optics experimentally and mathematically. The opening sentence reads:

My Design in this Book is not to explain the Properties of Light by Hypotheses, but to propose and prove them by Reason and Experiments.

This is a direct challenge to the Cartesians, of which Huygens was one, who expected philosophical explanations of optical phenomena. When he had published that original paper in 1672, one challenge from his critics was that he didn’t explain the nature of colour. Descartes as we saw believed that white light was homogeneous, that is monochrome, so, he had to explain the colours of the rainbow or the spectrum in general, as produced by a prism, for example. Experimenting with a prism Descartes produced the following argument. He stated that the particle of the second element, those that transmitted light, when refracted and rubbing against the particle of the third element, matter, acquired an uneven rotation which manifested itself as colours. 

For Newton it was coloured light that was fundamental not white light and he considered that he had demonstrated this experimentally with his so-called Experimentum Crusis, Newton himself never used the term, (Book I, Part II, Theorem ii), Newton showed that the colour of light corresponded to its “degree of refrangibility” (angle of refraction), and that this angle cannot be changed by additional reflection or refraction or by passing the light through a coloured filter.

Image
Folio 45v of Isaac Newton’s manuscript, New College MS 351/2, Oxford, which contains Newton’s diagram of the experimentum crucis, made at the request of Pierre Varignon for a French translation of the Opticks, 1722 (new.ox.ac.uk) Source Linda Hall Library

In his experiment he passed a beam of sunlight through a prism to produce a spectrum that he then masked so that only a single coloured ray, blue for example, progressed further. He passed this single ray of coloured light through a second prism and observed that although refracted again the ray didn’t change colour in any way. He concluded that the prisms were not added colour to the white light as it passed through, as had been previously believed. 

Image
Newton’s experimentum crucis . Within the darkroom a solar spectrum is projected onto the screen DE via the prism ABC and the aperture G in the screen DE . Only a monochromatic section of the spectrum passes through the small aperture in the screen, that is again deflected using a second prism abc but hardly undergoes any further spreading. In this way Newton showed that the colourless sunlight is made up of irreducible coloured light elements. The illustration is from Newton’s Opticks of 1704, but has been inverted here and has been reproduced with a retrospectively coloured spectrum. Source

Although it still had its critics Opticks became the standard work on optics during the eighteenth century only to be dethroned in the early nineteenth century, when Thomas Young (1773–1829), François Arago (1786-1853) , and Augustin-Jean Fresnel (1788–1827) produced a series of experiments that could not be explain by Newton’s corpuscular theory of light and replaced it with a wave theory.

As a small foot note, because of his theory of colour, Newton is considered one of those who provided the scientific explanation of the rainbow. We now teach schoolchildren that the rainbow has seven colures–red, orange, yellow, green, blue, indigo, violet–with lots of mnemonics to help them remember the correct order. Before Newton, people mostly thought that the rainbow had three, four or five colours and it was Newton who extended the list to seven. In his Opticks he wrote:

In the Experiments of the fourth Proposition of the first Part of this first Book, when I had separated the heterogeneous Rays from one another, the Spectrum pt formed by the separated Rays, did in the Progress from its End p, on which the most refrangible Rays fell, unto its other End t, on which the most refrangible Rays fell, appear tinged with this Series of Colours, violet, indigo, blue, green, yellow, orange, red, together with all their intermediate Degrees in a continual Succession perpetually varying . So that there appeared as many Degrees of Colours, as there were sorts of Rays differing in Refrangibility.

Newton, a closet Pythagorean, did so because there seven note on the diatonic scale.

Image

[1] The preceding six paragraphs are largely lifted from a post I wrote on the topic in 2008 on Will Thomas’ Ether Wave Propaganda blog.

3 Comments

Filed under History of Optics, History of Physics, History of science, Newton