Étiquette : Ibn Al-Haytam
What follows is an edited transcript of a lecture by Karel Vereycken on the subject of “Perspective in XVth-century Flemish religious painting”.
It was delivered at the international colloquium “La recherche du divin à travers l’espace géométrique” (The quest for the divine through geometrical space) at the Paris Sorbonne University on April 26-28, 2006, under the direction of Luc Bergmans, Department of Dutch Studies (Paris IV Sorbonne University).
« Perspective in XVth-century Flemish religious painting ». At first glance, this title may seem surprising. While the genius of fifteenth-century Flemish painters is universally attributed to their mastery of drying oil and their intricate sense of detail, their spatial geometry as such is usually identified as the very counter-example of the “right perspective”.
Disdained by Michelangelo and his faithful friend Vasari, the Flemish « primitives » would never have overcome the medieval, archaic and empirical model. For the classical “narritive”, still in force today, stipulates that only « Renaissance » perspective, obeying the canon of « linear », “mathematical” perspective, is the only « right », and the “scientific” one.
According to the same narrative, it was the research carried out around 1415-20 by the Duomo architect Filippo Brunelleschi (1377-1446), superficially mentioned by Antonio Tuccio di Manetti some 60 years later, which supposedly enabled Leon Battista Alberti (1404-1472), proclaiming himself Brunelleschi’s intellectual heir, to invent « perspective ».
In 1435, in De Pictura, a book entirely devoid of graphic illustration, Alberti is said to have formulated the premises of a perspectivist canon capable of representing, or at least conforming to, our modern notions of Cartesian space-time (NOTE 1), a space-time characterized as « entirely rational, i.e. infinite, continuous and homogeneous », « in one word, a purely mathematical space [dixit Panofsky] » (NOTE 2)
Long afterwards, in a drawing from the Codex Madrid, Leonardo da Vinci (1452-1519) attempted to unravel the workings of this model.
But in the same manuscript, he rigorously demonstrated the inherent limitations of the Albertian Renaissance perspectivist canon.
The drawing on f°15, v° clearly shows that the simple projection of visual pyramid cross-sections on a plane paradoxically causes their size to increase the further they are from the point of vision, whereas reality would require exactly the opposite. (NOTE 3)
With this in mind, Leonardo began to question the mobility of the eye and the curvilinear nature of the retina. Refusing to immobilize the viewer on an exclusive point of vision (NOTE 4), Leonardo used curvilinear constructions to correct these lateral deformations. (NOTE 5) In France, Jean Fouquet and others worked along the same lines.
But Leonardo’s powerful arguments were ignored, and he was unable to prevent this rewriting of history.
Despite this official version of art history, it should be noted that at the time, Flemish painters were elevated to pinnacles by Italy’s greatest patrons and art connoisseurs, specifically for their ability to represent space.
Bartolomeo Fazio, around the middle of the 15th century, observed that the paintings of Jan van Eyck, an artist billed as the « principal painter of our time », showed « tiny figures of men, mountains, groves, villages and castles rendered with such skill that one would think them fifty thousand paces apart. » (NOTE 6)
Such was their reputation that some of the great names in Italian painting had no qualms about reproducing Flemish works identically. I’m thinking, for example, of the copy of Hans Memlinc‘s Christ Crowned with Thorns at the Genoa Museum, copied by Domenico Ghirlandajo (Philadelphia Museum).
But post-Michelangelo classicism deemed the non-conformity of Flemish spatial geometry with Descartes’ « extended substance » to be an unforgivable crime, and any deviation from, or insubordination to, the « Renaissance » perspectivist canon relegated them to the category of « primitives », i.e. « empiricists », clearly devoid of any scientific culture.
Today, ironically, it is almost exclusively those artists who explicitly renounce all forms of perspectivist construction in favor of pseudo-naïveté, who earn the label of modernity…
In any case, current prejudices mean that 15th-century Flemish painting is still accused of having ignored perspective.
It’s true, however, that at the end of the XIVth century, certain paintings by Melchior Broederlam (c. 1355-1411) and others by Robert Campin (1375-1444) (Master of Flémalle) show the viewer interiors where plates and cutlery on tables threaten to suddenly slide to the floor.
Nevertheless, it must be admitted that whenever the artist « ignores » or disregards the linear perspective scheme, he seems to do so more by choice than by incapacity. To achieve a limpid composition, the painter prioritizes his didactic mission to the detriment of all other considerations.
For example, in Campin’s Mérode Altarpiece, the exaggerated perspective of the table clearly shows that the vase is behind the candlestick and book.
Jan van Eyck’s Lam Gods (Mystic Lamb) in Ghent is another example.
Never could so many figures, with so much detail and presence, be shown with a linear perspective where the figures in the foreground would hide those behind. (NOTE 7)
But the intention to approximate a credible sense of space and depth remains.
If this perspective seems flawed by its linear geometry, Campin imposes an extraordinary sense of space through his revolutionary treatment of shadows. As every painter knows, light is painted by painting shadow.
In Campin’s work, every object and figure is exposed to several sources of light, generating a darker central shadow as the fruit of crossed shadows.
Van Eyck influenced by Arab Optics?
This new treatment of light-space has been largely ignored. However, there are several indications that this new conception was partly the result of the influence of « Arab » science, in particular its work on optics.
Translated into Latin and studied from the XIIth century onwards, their work was developed in particular by a network of Franciscans whose epicenter was in Oxford (Robert Grosseteste, Roger Bacon, etc.) and whose influence spread to Chartres, Paris, Cologne and the rest of Europe.
It should be noted that Jan van Eyck (1395-1441), an emblematic figure of Flemish painting, was ambassador to Paris, Prague, Portugal and England.
I’ll briefly mention three elements that support this hypothesis of the influence of Arab science.
Robert Campin (master of Flémalle) in the Werl Triptych (1438) and Jan van Eyck in the Arnolfini portrait (1434), each feature convex mirrors of considerable size.
It is now certain that glaziers and mirror-makers were full members of the Saint Luc guild, the painters’ guild. (NOTE 8)
But it is relevant to know that Campin, now recognized as having run the workshop in Tournai where the painters Van der Weyden and Jacques Daret were trained, produced paintings for the Franciscans in this city. Heinrich Werl, who commissioned the altarpiece featuring the convex mirror, was an eminent Franciscan theologian who taught at the University of Cologne.
These convex and concave (or ardent) mirrors were much studied during the Arab renaissance of the IXth to XIth centuries, in particular by the Arab philosopher Al-Kindi (801-873) in Baghdad at the time of Charlemagne.
Arab scientists were not only in possession of the main body of Hellenic work on optics (Euclid‘s Optics, Ptolemy‘s Optics, the works of Heron of Alexandria, Anthemius of Tralles, etc.), but it was sometimes the rigorous refutation of this heritage that was to give science its wings.
After the decisive work of Ibn Sahl (Xth century), it was that of Ibn Al-Haytam (Latin name : Alhazen) (NOTE 9) on the nature of light, lenses and spherical mirrors that was to have a major influence. (NOTE 10)
As mentioned above, these studies were taken up by the Oxford Franciscans, starting with the English bishop of Lincoln, Robert Grosseteste (1168-1253).
In De Natura Locorum, for example, Grosseteste shows a diagram of the refraction of light in a spherical glass filled with water. And in his De Iride he marvels at this science which he connexts to perspective :
« This part of optics, so well understood, shows us how to make very distant things appear as if they were situated very near, and how we can make small things situated at a distance appear to the size we desire, so that it becomes possible for us to read the smallest letters from incredible distances, or to count sand, or grains, or any small object.«
Grosseteste’s pupil Roger Bacon (1212-1292) wrote De Speculis Comburentibus, a specific treatise on « Ardent Mirrors » which elaborates on Ibn Al-Haytam‘s work.
Flemish painters Campin, Van Eyck and Van der Weyden proudly display their knowledge of this new scientific and technological revolution metamorphosed into Christian symbolisms.
Their paintings feature not only curved mirrors but also glass bottles, which they use as a metaphor for the immaculate conception.
A Nativity hymn of that period says:
« As through glass the ray passed without breaking it, so of the Virgin Mother, Virgin she was and virgin she remained… » (NOTE 11)
The Treatment of Light
In his Discourse on Light, Ibn Al-Haytam develops his theory of light propagation in extremely poetic language, setting out requirements that remind us of the « Eyckian revolution ». Indeed, Flemish « realism » and perspective are the result of a new treatment of light and color.
« The light emitted by a luminous body by itself -substantial light- and the light emitted by an illuminated body -accidental light- propagate on the bodies surrounding them. Opaque bodies can be illuminated and then in turn emit light. »
This physical principle, theorized by Leonardo da Vinci, is omnipresent in Flemish painting. Just look at the images reflected in the helmet of St. George in Van Eyck‘s Madonna to Canon van der Paele (NOTE 12).
In each curved surface of Saint George’s helmet, we can identify the reflection of the Virgin and even a window through which light enters the painting.
The shining shield on St. George’s back reflects the base of the adjacent column, and the painter’s portrait appears as a signature. Only a knowledge of the optics of curved surfaces can explain this rendering.
« Light can penetrate transparent bodies: water, air, crystal and their counterparts. »
« Transparent bodies have, like opaque bodies, a ‘receiving power’ for light, but transparent bodies also have a ‘transmitting power’ for light.«
Isn’t the development of oil mediums and glazes by the Flemish an echo of this research? Alternating opaque and translucent layers on very smooth panels, the specificity of the oil medium alters the angle of light refraction.
In 1559, the painter-poet Lucas d’Heere referred to van Eyck‘s paintings as « mirrors, not painted scenes.«
Before the advent of « right » central linear perspective, art historians sought a coherent explanation for its birth in the presence of several seemingly disparate vanishing points by theorizing a so-called central « fishbone » perspective.
In this model, a number of vanishing lines, instead of coinciding in a single central vanishing point on the horizon, either end up in a « vanishing region » (NOTE 13), or align with what some call a vertical « vanishing axis », forming a kind of « fishbone ».
French Professor Dominique Raynaud, who worked for years on this issue, underscores that « all medieval treatises on perspective address the question of binocular vision », notably the Polish scholar Witelo (1230-1280) (NOTE 15) in his Perspectiva (I,27), an insight he also got from the works of Ibn Al-Haytam.
Witelo presents a figure to defend the idea that
« the two forms, which penetrate two homologous points of the surface of the two eyes, arrive at the same point of the concavity of the common nerve, and are superimposed at this point to become one » (Perspectiva, III, 37).
A similar line of reasoning can be found in Roger Bacon‘s Perspectiva Communis, written by John Pecham, Archbishop of Canterbury (1240-1290) for whom:
« the duality of the eyes must be reduced to unity »
So, as Professor Raynaud proposed, if we extend the famous vanishing lines (i.e., in our case, the « fish bones ») until they intersect, the « vanishing axis » problem disappears, as the vanishing lines meet. Interestingly, the result is a perspective with two vanishing points in the central region!
Suddenly, the diagrams drawn up to demonstrate the « empiricism » of the Flemish painters, if viewed from this point of view, reveal a legitimate construction probably based on optics as transmitted by Arab science and rediscovered by Franciscan networks and others.
Two paintings by Jan van Eyck clearly demonstrate that he followed this approach: The Madonna with Canon van der Paele of 1436 and the Dresden Tryptic of 1437.
What seemed a clumsy, empirical approach in the form of a « fishbone » perspective (left) turns out to be a binocular perspective construction.
Was this type of perspective specifically Flemish?
A close examination of works by Ghiberti, Donatello and Paolo Uccello, generally dating from the first half of the XVth Century, reveals a mastery of the same principle.
But this whole demonstration is merely a look into the past through the eyes of modern scientific rationality. It would be a grave error not to take into account the immense influence of the Rhenish (Master Eckhart, Johannes Tauler, Heinrich Suso) and Flemish (Hadewijch of Antwerp, Jan van Ruusbroec, etc.) « mystics ».
This trend began to flourish again with the rediscovery of the Christianized neo-Platonism of Dionysius the Areopagite (Vth-VIth century), made accessible… by the new translations of the Franciscan Grosseteste in Oxford.
The spiritual vision of the Aeropagite, expressed in a powerful imagery language, is directly reminiscent of the metaphorical approach of the Flemish painters, for whom a certain type of light is simply the revelation of divine grace.
In On the Heavenly Hierarchy, Dionysius immediately presents light as a manifestation of divine goodness. It ennobles us and enables us to enlighten others:
« Let those who are illuminated be filled with divine clarity, and the eyes of their understanding trained to the work of chaste contemplation; finally, let those who are perfected, once their primitive imperfection has been abolished, share in the sanctifying science of the marvelous teachings that have already been manifested to them; similarly, let the purifier excel in the purity he communicates to others; let the illuminator, gifted with a greater penetration of spirit, equally fit to receive and transmit light, happily flooded with sacred splendor, pour it out in pressing streams on those who are worthy… » [Chap. III, 3]
Let’s think again of the St. George in Van Eyck‘s Madonna to Canon van der Paele, which indeed pours forth the multiple images of the Virgin who enlightens him.
This theo-philosophical trend reached full maturity in the work of Cardinal Nicolas of Cusa (Cusanus) (1401-1464) (NOTE 16), embodying the extremely fruitful encounter of this « negative theology » with Greek science, Socratic knowledge and Christian Humanism.
In contrast to both a science « without a hypothesis of God » and a metaphysics with an esoteric drift, an agapic love leads it to the education of the greatest number, to the defense of the weak and the humiliated.
But let’s sketch out some of Cusanus’ key ideas on painting.
In De Icona (The Vision of God) (1453), which he sent to the Benedictine monks of the Tegernsee, Cusanus condenses his fundamental work On Learned Ignorance (1440), in which he develops the concept of the coincidence of opposites. His starting point was a self-portrait of his friend « Roger », the Flemish painter Rogier van der Weyden, which he sent together with his sermon to the monks.
This self-portrait, like the multiple faces of Christ painted in the XVth century, uses an « optical illusion » to create the effect of a gaze that fixes the viewer, regardless of his or her position in front of the altarpiece.
In De Icona, written as a sermon, Cusanus asks monks to stand in a semicircle around the painting and watch this gaze pursue them as they move along the segment of the curve. In fact, he elaborates a pedagogical paradox based on the fact that the Greek name for God, Theos, has its etymological origin in the verb theastai (to see, to look at).
As you can see, he says, God looks at you personally, and his gaze follows you everywhere. He is therefore one and many. And even when you turn away from him, his gaze falls on you. So, miraculously, although he looks at everyone at the same time, he nevertheless establishes a personal relationship with each one. If « seeing » for God is « loving », God’s point of vision is infinite, omniscient and omnipotent love.
A parallel can be drawn here with the spherical mirror at the center of Jan van Eyck’s painting The Arnolfini portrait, painted in 1434, nineteen years before this sermon.
Firstly, this circular mirror is surrounded by the ten stations of Christ’s Passion, juxtaposed by a rosary, an explicit reference to God.
Secondly, it reveals a view of the entire room, an image that completely escapes the linear perspective of the foreground. A view comparable to the allcompassing « Vision of God » developed by Cusanus.
Finally, we see two figures in the mirror, but not the image of the painter behind his easel. These are undoubtedly the two witnesses to the wedding. Instead of signing his painting with « Van Eyck invent. », the painter signed his painting above the mirror with « Van Eyck was here » (NOTE 17), identifying himself as a witness.
As Dionysius the Aeropagite asserted:
« [the celestial hierarchy] transforms its adepts into so many images of God: pure and splendid mirrors where the eternal and ineffable light can shine, and which, according to the desired order, reflect liberally on inferior things this borrowed brightness with which they shine. » [Chap. III, 2]
The Flemish mystic Jan van Ruusbroec (1293-1381) evokes a very similar image in his Spiegel der eeuwigher salicheit (Mirror of eternal salvation) when he says:
« Ende Hi heeft ieghewelcs mensche ziele gescapen alse eenen levenden spieghel, daer Hi dat Beelde sijnre natueren in gedruct heeft. » (And he created each human soul as a living mirror, in which he imprinted the image of his nature).
And so, like a polished mirror, Van Eyck’s soul, illuminated and living in God’s truth, acts as an illuminating witness to this union. (NOTE 18)
So, although the Flemish painters of the XVth century clearly had a solid scientific foundation, they choose such or such perspective depending on the idea they wanted to convey.
In essence, their paintings remain objects of theo-philosophical speculation or as you like « intellectual prayer », capable of praising the goodness, beauty and magnificence of a Creator who created them in His own image. By the very nature of their approach, their interest lay above all in the geometry of a kind of « paradoxical space-light » capable, through enigma, of opening us up to a participatory transcendence, rather than simply seeking to « represent » a dead space existing outside metaphysical reality.
The only geometry worthy of interest was that which showed itself capable of articulating this non-linearity, a « divine » or « mystical » perspective capable of linking the infinite beauty of our commensurable microcosm with the immeasurable goodness of the macrocosm.
- Recently, Italian scholars have pointed to the role of Biagio Pelacani Da Parma (d. 1416), a professor at the University of Padua near Venice, in imposing such a perspective, which privileged only the « geometrical laws of the act of vision and the rules of mathematical calculation ».
- Erwin Panofsky, Perspective as Symbolic Form, p.41-42, Les Éditions de Minuit, Paris, 1975.
- Institut de France, Manuscrit E, 16 v° « the eye [h] perceives on the plane wall the images of distant objects greater than that of the nearer object. »
- Leonardo understands that Albertian perspective, like anamorphosis, condemns the viewer to a single, immobile point of vision.
- See, for example, the slight enlargement of the apostles at the ends of Leonardo da Vinci’s Last Supper in the Milan refectory.
- Baxandall, Bartholomaeus Facius on painting, Journal of the Warburg and Courtauld Institutes, 27, (1964). Fazio is also enthusiastic about a world map (now lost) by Jan van Eyck, in which all the places and regions of the earth are depicted recognizably and at measurable distances.
- To escape this fate, Pieter Bruegel the Elder used a cavalier perspective, placing his horizon line high up.
- Lionel Simonot, Etude expérimentale et modélisation de la diffusion de la lumière dans une couche de peinture colorée et translucide. Application à l’effet visuel des glacis et des vernis, p.9 (PhD thesis, Nov. 2002).
- Ibn Al-Haytam (Alhazen) (965-1039) wrote some 200 works on mathematics, astronomy, physics, medicine and philosophy. Born in Basra, after working on the development of the Nile in Egypt, he travelled to Spain. He is said to have carried out a series of highly detailed experiments on theoretical and experimental optics, including the camera obscura (darkroom), work that was later to feature in Leonardo da Vinci’s studies. Da Vinci may well have read the lengthy passages by Alhazen that appear in the Commentari of the Florentine sculptor Ghiberti. According to Gerbert d’Aurillac (the future Pope Sylvester II in 999), Bishop of Rheims, brought back from Spain the decimal system with its zero and an astrolabe, it was thanks to Gerard of Cremona (1114-c. 1187) that Europe gained access to Greek, Jewish and Arabic science. This scholar went to Toledo in 1175 to learn Arabic, and translated some 80 scientific works from Arabic into Latin, including Ptolemy’s Almagest, Apollonius’ Conics, several treatises by Aristotle, Avicenna‘s Canon, and the works of Ibn Al-Haytam, Al-Kindi, Thabit ibn Qurra and Al-Razi.
- In the Arab world, this research was taken up a century later by the Persian physicist Al-Farisi (1267-1319). He wrote an important commentary on Alhazen’s Treatise on Optics. Using a drop of water as a model, and based on Alhazen’s theory of double refraction in a sphere, he gave the first correct explanation of the rainbow. He even suggested the wave-like property of light, whereas Alhazen had studied light using solid balls in his reflection and refraction experiments. The question was now: does light propagate by undulation or by particle transport?
- Meiss, M., Light as form and symbol in some fifteenth century paintings, Art Bulletin, XVIII, 1936, p. 434.
- Note also the fact that the canon shows a pair of glasses…
- Brion-Guerry in Jean Pèlerin Viator, sa place dans l’histoire de la perspective, Belles Lettres, 1962, p. 94-96, states in obscure language that « the object of representation behaves most often in Van Eyck as a cubic volume seen from the front and from the inside. Perspectival foreshortening is achieved by constructing a rectangle whose sides form the base of four trapezoids. The orthogonals thus tend towards four distinct points of convergence, forming a ‘vanishing region' ».
- Dominique Raynaud, L’Hypothèse d’Oxford, essai sur les origines de la perpective, PUF, Paris 1998.
- Witelo was a friend of the Flemish Dominican scholar Willem van Moerbeke, a translator of Archimedes in contact with Saint Thomas Aquinas. Moerbeke was also in contact with the mathematician Jean Campanus and the Flemish neo-Platonic astronomer Hendrik Bate van Mechelen.
- Cusanus was above all a man of science and theology. But he was also a political organizer. The painter Jan van Eyck fought for the same goals, as evidenced by the ecumenical theme of the Ghent polyptych. It shows the Mystic Lamb, symbolizing the sacrifice of the Son of God for the redemption of mankind, capable of reuniting a church torn apart by internal differences. Hence the presence of the three popes in the central panel, here united before the lamb. Van Eyck also painted a portrait of Cardinal Niccolo Albergati, one of the instigators of the great Ecumenical Council organized by Cusanus in Ferrara and then moved to Florence. If Cusanus called Van der Weyden « his friend Roger », it is also thought that Robert Campin may have met him, since he would have attended the Council of Basel, as did one of his commissioners, the Franciscan theologian Heinrich Werl.
- Jan Van Eyck was one of the first painters in the history of art to date and sign his paintings with his own name.
- Myriam Greilsammer’s book L’Envers du tableau, Mariage et Maternité en Flandre Médiévale (Editions Armand Colin, 1990) documents Arnolfini’s sexual escapades. Arnolfini was taken to court by one of his victims, a female servant. Van Eyck seems to have understood that the knightly Arnoult Fin, Lucchese financier and commercial representative of the House of Medici in Bruges, required the somewhat peculiar presence of the eye of the lord.
By Karel Vereycken
(texte original en français)
“The ink of the scholar is holier than the blood of the martyr.”Sayings (Hadith) most often attributed to the Prophet.
“Seek knowledge from the Cradle to the Grave.”
“Seek knowledge even as far as China.”
We live in a time of cruel stupidity. While the history of civilization is characterized by multiple cultural contributions allowing an infinite and magnificent mutual enrichment, everything is done to dehumanize us.
By dint of media coverage of the most extreme crimes, notably by claiming that such and such an abject or barbaric act has been committed « in the name » of such and such a belief or religion, everything is done to set us against each other. If we do not react, the famous thesis of a « Clash of Civilizations », concocted by the British Islamologist Bernard Lewis (Henry Kissinger’s, Zbigniew Brzezinski’s and Samuel Huntington’s mentor) as an evil tool of geopolitical manipulation, will become a self-fulfilling prophecy.
In order to combat prejudices and dangerous misunderstandings about “Islam” (with 1.6 billion believers a non-negligible part of the world’s population), here follows a brief overview of the major contributions of the Arab-Muslim civilization.
By recalling two major contributions of the “Golden Age” of Islam, notably Arab astronomy and mutazilism, what is at stake here is the recognition that –just like Memphis, Thebes, Alexandria, Athens and Rome– Baghdad, Damascus and Cordoba were major crucibles of a universal civilization which is ours today.
While Europe has come to recognize that the invention of printing took place in China long before Gutenberg, and that America was visited way before Christopher Columbus, consensus and group think keeps repeating that the Arabs contributed nothing to the progress of science.
In the 1300 years separating the Greek astronomer from Alexandria, Claudius Ptolemy (ca. 100-178 AD) from the Polish Nicolaus Copernicus (1473-1543), they pretend, nothing but “a black hole”.
In 1958, in his book The Sleepwalkers, British Hungarian writer Alfred Koestler, who helped Sydney Hook to co-found the CIA’s cultural cold war front, the Congress for Cultural Freedom, epitomized western arrogance, writing:
the Arabs had merely been the go-betweens, preservers and transmitters of the heritage. They had little scientific originality and creativeness of their own. During the centuries when they were the sole keepers of the treasure, they did little to put it to use. (…) and by the fifteenth century, the scientific heritage of Islam had largely been taken over by the Portuguese Jews. But the Jews, too, were no more than go-betweens, a branch of the devious Gulf-stream which brought back to Europe its Greek and Alexandrine heritage, enriched by Indian and Persian additions.
Nothing is more false. Definitely, one must be born on the right spot to be allowed to have a seat in the train of history…
Copernicus himself, unlike Koestler, was perfectly familiar with Arab astronomy. In 1543, in his De Revolutionibus, he quotes several Arab scientists, more precisely Al-Battani, al-Bitruji, al-Zarqallu, Ibn Rushd (Averroes) and Thabit ibn Qurra. Copernicus also refers to al-Battani in his Commentariolus, a manuscript published posthumously. Later, the great Johannes Kepler (1571-1630) would also refer to Ibn Al-Haytam in his work on optics.
In reality, Copernicus and even more Kepler, whose creative genius cannot be overrated, came up with answers to questions raised by several generations of Arab astronomers preceding them and whose contribution remains largely ignored and even worse, unexplored. To this day, with about 10,000 manuscripts preserved throughout the world, a large part of which has still not been the subject of a bibliographic inventory, the Arab astronomical corpus constitutes one of the best preserved components of medieval scientific literature waiting to be rediscovered.
Science and religion versus slavery
Before examining the contributions of Arab astronomy, a few words about the intimate link between Islam and the development of science.
According to tradition, it was in 622 AD that the Prophet Muhammad and his companions left Mecca and set out for a simple oasis that would become the city of Medina.
If this event is known as the “Hegira”, an Arabic word for emigration, break-up or exile, it is also because Mohammad broke with a societal model based on blood ties (clan organization), in favor of a model of a shared destiny based on belief. In this new religious and societal model, where each person is supposed to be a “brother,” it is no longer permissible to abandon the poor or the weak as was the case before.
The powerful clans in Mecca did everything they could to eliminate this new form of society, which diminished their influence.
The “Medina Constitution” allegedly proclaimed equality among all believers, whether they were free men or slaves, Arabs or non-Arabs.
The Koran advocates strict equality between Arabs and non-Arabs in accordance with the Prophet, who said, in his farewell address:
“There is no superiority of an Arab over a non-Arab, or of a non-Arab over an Arab, and no superiority of a white person over a black person or of a black person over a white person, except on the basis of personal piety and righteousness.”(Reported by Al-Bayhaqi and authenticated by Shaykh Albani in Silsila Sahiha no. 2700).
Hence, if after the Prophet’s passing away, slavery and slave trade became a common practice in close to all Muslim countries, he cannot be held accountable. Zayd Ibn Harithah, according to tradition, after having been the slave of Khadija, Muhammad’s wife, was freed and even adopted by Muhammad as his own son.
For his part, Abu Bakr, Muhammad’s companion and successor as the first Caliph (Arab word for “successor”), also freed Bilal ibn-Raba, the son of a former Abyssinian princess who had been enslaved. Bilal, who had a magnificent voice, was even appointed the first muezzin, that is to say the one who calls for prayer five times a day from the top of one of the mosque’s minarets.
Among the first verses revealed to the Prophet Muhammad one finds :
“Read! And your Lord is the Most Generous,(Surat 96).
Who taught by the pen — Taught man that which he knew not.”
The Prophet also states,
“The best among you (Muslims) are those who learn the Koran and teach it.”
Other sayings, often attributed to the Prophet, clearly invite Muslims to seek knowledge and cherish science :
“The ink of the scholar is more sacred than the blood of the martyr”.
“Seek knowledge from the Cradle to the Grave”.
“Seek knowledge even as far as China”.
The mosque is therefore much more than a place of worship, it is a school of all sciences, where scholars are trained. It serves as a social and educational institution: it may be completed with a madrassa (Koranic school), a library, a training center, or even a university.
As in most religions, in Islam, practices and rituals are punctuated by astronomical events (years, seasons, months, days, hours). Every worshipper must pray five times a day at times that vary depending on where he or she is on Earth: at sunrise (Ajr), when the sun is at its zenith (Dhohr), in the afternoon (Asr), at sunset (Magrib) and at the beginning of the night (Icha). Astronomy, as a spiritual occasion to fine-tune one’s earthly existence according to the harmony of the Heavens, is omnipresent.
As an example, to underscore its importance, July 16, 622 AD, the first day of the lunar year, was declared the first day of the Hegira calendar. And during the eclipse of the sun, mosques host a special prayer.
Islam encourages Muslims to guide themselves by the stars. The Koran states :
“And He is the One who made the stars for you
to guide you with them in darkness of the land and the sea”.
With such an incentive, early Muslims could not but feel compelled to perfect astronomical and navigational instruments. As a result, today more than half of the stars used for navigation bear Arabic names. It was only natural that the faithful constantly tried to improve astronomical calculations and observations.
The first reason to do so is that during the Muslim prayer, the worshipper has to prostrate himself in the direction of the Kaaba in Mecca, so he has to know how to find this direction wherever he is on Earth. And the construction of a mosque will be decided according to the same data.
The second reason is the Muslim calendar. The Koran states :
“The number of months in the sight of Allah is twelve (in a year)-
so ordained by Him the day He created the heavens and the earth;
of them four are sacred: that is the straight usage.”
Clearly, the Muslim calendar is based on the lunar months, which are approximately 29.5 days long. But 12 times 29.5 days is only 345 days in the year. This is far from the 365 days, 6 hours, 9 minutes and 4 seconds that measure the duration of the rotation of the Earth around the Sun…
Finally, a last challenge was posed by the interpretation of the lunar movement. The months, in the Muslim religion, do not begin with the astronomical new moon, defined as the moment when the moon has the same ecliptic longitude as the sun (it is therefore invisible, drowned in the solar albedo); the months begin when the lunar crescent starts to appear at dusk.
The Koran says: “(Muhammad), they ask you about the different phases of the moon. Tell them that they are there to indicate to people the phases of time and the pilgrimage season.”
For all these reasons, the Muslims could not be satisfied with either the Christian or the Hebrew calendar, and had to create a new one.
In order to forecast the phases of the moon, new methods of calculation and new instruments capable of observing them were required. The calculation of the day when the crescent moon starts to become visible again was a formidable challenge for the Arab scholars. To predict this day, it was necessary to be able to describe its movement in relation to the horizon, a problem whose resolution belongs to a rather sophisticated spherical geometry.
It was the determination of the direction of Mecca from a given location and the time of prayers that led the Muslims to develop such geometry. To solve these problems, it is necessary to know how to calculate the side of a spherical triangle of the celestial sphere from its three angles and the other two sides; to find the exact time, for example, it is necessary to know how to construct the triangle whose vertices are the zenith, the north pole, and the position of the Sun.
The field of astronomy has strongly stimulated the birth of other sciences, in particular geometry, mathematics, geography and cartography. Some people like to recall that Platonists and Aristotelians were arguing about rather abstract concepts, each of them believing that reason was sufficient to understand nature. Arab astronomy, on the other hand, played a decisive role in the emergence of a true scientific method by verifying the various hypotheses, by building measuring instruments and astronomical observatories and by rigorously recording observations over many years.
The question then arises as to where this infatuation with science and astronomy could have come from, in a culture essentially centered on religion?
A first answer comes from the fact that in the 8th century, shortly after the birth of Sunnism (656), Kharidjism (657) and Shi’ism (660), but independently of these currents, a school of Muslim theological and philosophical thought appeared, founded by the revolutionary theologian Wasil ibn Ata (700-748), a current known as “mutazilism” (or motazilism), branded in the West as “the rationalists” of Islam. One explanation of its name came from the fact that the mutazili refused to take part in the internal strife inside factions using theological interpretations for earthly power, the arab word iʿtazala meaning “to withdraw”.
Wasil was born in Medina in the Arabian Peninsula and moved to Basra, now in Iraq. From there he formed an intellectual movement that spread all over the Arab-Muslim world. Many of his followers were merchants and non-Arabs (mawâlî) from Iranian or Aramaic “converted” families, victims of the Omayyad dynasty’s discriminating policies between Arabs and non-Arabs. This hypothesis is sufficient to back the claim of a Mutazilite participation in the overthrow of the Omayyad and that dynasty’s replacement with the Abbasid.
In a clear break with dualistic cosmology (Mazdeism, Zoroastrianism, Manichaeism, etc.), Mutazilism insists on the absolute unity of God, conceived as an entity outside time and space. For them, there is a close relationship between the unity of the Muslim community (Ummah) and the worship of the Lord. The Mutazilites are closely inspired by the Koran, and it is quite wrong to present them as the “free thinkers” of Islam.
However, “we reject faith as the only way to religion if it rejects reason,” the Mutazilite saying goes. Relying on reason (the logos dear to the Greek thinkers Socrates and Plato), which it considers compatible with Islamic doctrines, Mutazilism affirms that man can, outside of any divine revelation, access knowledge.
Just as Augustine, a christian, emphasized man can advance on the path of truth, not only through the Gospel (revelation), but by reading “the Book of Nature”, a reflection and foretaste of divine wisdom. One book of the Bible, The Book of Wisdom, recognizes that
For from the greatness and the beauty of created things(Book of Wisdom, 13:5)
their original author,
by analogy, is seen.
The Mutazilites differed from their opponents in their teaching that God has endowed man with reason specifically so that he can come to know the moral order in creation and its Creator; that is what reason is for. Reason is central to man’s relationship to God.
In the Fundamentals, the great Mutazilite theologian Abdel al Jabbar Ibn Ahmad (935-1025), whose texts were discovered only in the 1950’s by Egyptian scholars in a mosque in Yemen, begins by positing the primary duty to reason: « If it is asked: What is the first duty that God imposes you? Say to him: Speculative reasoning which leads to knowledge of God, because He is not known intuitively or by the senses. Thus, He must be known by reflection and speculation ».
Therefore, Reason logically precedes revelation. Reason first needs to establish the existence of God before undertaking the question as to whether God has spoken to man. Natural theology mus be antecedent to theology.
Al Jabbar says: « The stipulates of revelation concerning what we should say and do are no good until after there is knowledge of God, » which knowledge comes from reason. « Therefore, » he concludes, « it is incumbent on me to establish His existence and to know Him so that I can worship Him, give Him thanks and do what satisfies Him and avoid disobedience toward Him ».
How does Reason lead man to the conclusion of God’s existance? It is through the observation of the ordered universe that man first comes to know that God exists, says Al Jabbar. As he sees hat nothing in the world is its own cause, but is caused by something else, man arrives at the contingent nature of creation. From there, man reasons to the necessity of a Creator, an uncaused cause.
The concept of an inherent nature in things (tab’) means that God, though he is the First Cause, acts indirectly through secondary causes, such as the physical law of gravity. In other words, God does not immediately or directly do everything. He does not make a rock fall; gravity does. God allows some autonomy in his creation, which has its own set of rules, according to how it was made.
As Mutazilite writer and theologian Uthman al-Jahiz (765-869) stated, every material element has it own nature. God created each thing with a nature according to which it consistently behaves. The unsupported rock will always fall where there is gravitational pull. These laws of nature, then, are not an imposition of order from without by a commander-in-chief, but an expression of it from within the very essence of things, which have their own integrity. Creation is possessed of an intrinsic rationality from the Creator. That is why and how man is able to understand God’s Reason as manifested in his creation (This does not discount God’s ability to supercede natural laws in the case of a miracle). From that standpoint, the act of discovery of the nature and beauty of things, by each human individual, brings him closer to God.
Hence, Muzatilism gives human reason (the faculty of thinking) and freedom (the faculty of acting) a place and importance not only unknown in other trends of Islam but even in most philosophical and religious currents of the time. Against fatalism (“mektoub!” = it was written!), which was the dominant tendency in Islam, mutazilism affirms that the human being is responsible for his acts.
More than five centuries before Erasmus, Mutazilite faith and philosophy offered already the foundations to solve most of the sterile theological disputes that would destroy the Renaissance and throw Europe in the abyss of self-destruction known as the “wars of religion”.
Here are the five Fundamentals (Principles), described by Abdel al Jabbar and summarized in 2015 by economist Nadim Michel Kalife:
—Monotheism (Al Tawhid) whose concept of God is beyond the simple intellect of the human mind. That is why the verses of the Koran describing God “sitting” on a throne should be interpreted only allegorically and not literally. Hence the Mutazilites called their opponents anthropomorphists who sought to reduce God who is unknowable to a human appearance. And they concluded that this one detail (!) of the Koran is sufficient to prove that the Koran is not “uncreated” but “created” by Allah, via man, to make it accessible to the believer, and therefore, that it can and should evolve and adapt according to the times and circumstances ;
—Divine justice (Adl) is about the origin of evil in our world where God is all-powerful. Mutazilism proclaims free will, where evil is man’s doing and not God’s will, because God is perfect and therefore cannot do evil or determine man to do it. And, if human wrongdoings were the will of God, punishment would lose all meaning since man would be doing nothing but respecting the divine will. This unquestionable logic allowed Mutazilism to refute predestination and the « mektoub » of the Sunni schools;
—Promise and threat (al-Wa’d wa al-Wa’id): this principle concerns the judgment of man at his death and that of the last judgment where God will reward the obedient in the heavenly paradise, and punish those who disobeyed him by damning them eternally in the fires of hell;
—The intermediate degree (al-manzilatu bayn al-manzilatayn), the first principle opposing Mutazilism to the Sunni schools. A great sinner (murder, theft, fornication, false accusation of fornication, drinking alcohol, etc. ) should be judged neither as a Muslim (as Sunnism thinks) nor as a disbeliever or kâfir (as the Kharidjites think), but considered in an intermediate degree from which, when he dies, he will go to hell if he failed to be redeemed by God’s mercy ;
—To order the good and blame the blameworthy (al-amr bil ma’ruf wa al-nahy ‘an al munkar): this principle authorizes even rebellion against authority when it is unjust and illegitimate, to prevent the victory of evil over all. This principle attracted the hatred of the ulama (theologians) and imams (predicators) who saw it as a manouver to weaken their own authority over the faithful. And the Seljuk Turks considered it a serious danger since it called into question their power… over the Arabs.
Mutazilism under the Abbasid
In Baghdad, it was with the rise of the Abbasid Caliphate in 749 that Mutazilism gained influence, first under the Caliph Hâroun al-Rachîd (765-809) (“Aaron the Well-Guided”) and then under his son, Al-Ma’mûn (786-833) (“The one to be trusted”). Shortly before his death in 833, the latter made Mutazilism the official doctrine of the Abbasid Empire.
This was too much for the conservative ulama and imams who rebelled against the Caliph’s enlightened vision that created a space for secular society and limited their grip over society. Faced with the revolt, the Abbasid administration (made up largely of Persians), which was won over to Mutazilism, carried out a ruthless crackdown on Sunni (Arab) clerics for fifteen years, from 833 to 848. This bloody persecution left an increasingly bitter taste in people’s minds, especially when the Abbasid power refused to release Muslim prisoners in the hands of the Byzantines if they did not renounce the dogma of the “uncreated” nature of the Koran…
Finally, in 848, Caliph Jafar al-Mutawakkil (847-861), changed course completely and asked the traditionalists to preach hadiths according to which Muhammad had condemned the Mutazilites and their supporters.
Dialectical theology (Kalâm) was banned and the Mutazilites were not any longer welcome at the Baghdad court. This was also the end of the spirit of tolerance and the return of persecution against Christians and Jews. If the craze for science continued, Mutazilism disappeared with the fall of the Abbasids and the destruction of Baghdad by the Mongols in the 13th century.
Mutazilism also influenced Judaism. The Kitab Al-Amanat Wa’l-I’tiqadat – that is, the Book of Beliefs and Opinions – by the tenth-century Jewish rabbinic scholar Saadia Gaon (882-942), who lived in Baghdad, draws its inspiration from Christian theological literature as well as from Islamic models. The Kitab al-Tawhid, the Book of Divine Unity, by Saadia’s Karaite contemporary, Jacob Qirqisani (d. 930), is unfortunately lost.
This makes the German Islamologist Sabine Schmidtke say:
The new tradition of Jewish rational thought that emerged in the course of the ninth century was, in its initial phase, mainly informed by Christian theological literature, both in its content and methodology. Increasingly, specifically Mutazilite Islamic ideas, such as theodicy [*1] and human free will, as well as the emphasis on the oneness of God (tawhid), resonated among Jewish thinkers, many of whom eventually adopted the entire doctrinal system of the Mutazila. The now emerging ‘Jewish Mutazila’ dominated Jewish theological thought for centuries to come.
Brothers in Purity
Also worth mentioning in this context, are the Epistles of the Brothers in Purity (Ikwân al-Safâ), an encyclopedia of 52 epistles (dealing with mathematics, natural sciences, rational sciences and theological sciences), composed between the beginning of the ninth and the end of the tenth century and containing common knowledge. The text will be promoted by the Ismailis, an esoteric branch of shiite islam strongly contesting the ruling powers of that time. Produced in Basra, in present-day Iraq, the book, neo-platonic in character, is a collective work. As for the authors, designated under the mysterious name of Brothers of Purity, they belonged to a brotherhood of sages and intellectuals who met regularly to organize sessions of discussion, readings and recitation. Its followers considered that knowledge was an indispensable condition for any spiritual and mystical elevation. Its avant-garde character is apparent in its hymn to tolerance advocating a plurality of paths to salvation. Some experts believe that the Epistles of the Brothers in Purity are the work of a high-level Pythagorean philosopher, a disciple of the mutazilist platonic, al-Kindi.
Leaving aside, therefore, the errors that were very real, it has to be recognized and underscored that the optimistic philosophical vision of Mutazilism (reason, free will, responsibility, perfectibility of man) strongly contributed to the emergence of a true « golden age » of Arab culture and sciences.
Finally, it is not uninteresting to note that today, “neo-Mutazilite” currents are appearing in reaction to obscurantist doctrines and the barbaric acts they provoke. For the Egyptian reformist thinker Ahmad Amin, “the death of mutazilism was the greatest misfortune that befell Muslims; they committed a crime against themselves.”
In 762, the second Abbasid caliph Al-Mansur (714-775) (“the victorious”) began construction of a new capital, Baghdad. Called Madinat-As-Salam (City of Peace), it houses the court palace, the mosque and the administrative buildings. Built on a circular plan, it is inspired by previous traditions, notably the one that gave birth to the Iranian city of Gur (current name: Firouzabad).
We are in the heart of fertile Mesopotamia, the “land between the rivers”, essentially the Euphrates and the Tigris, both of which have their source in Turkey. It is here that the Sumerians invented irrigation, agriculture (cereals and livestock) [*2], and writing (3400 years BC), starting in the 10th millennium BC.
Baghdad, a powerful and refined city, reigned over the entire East and became the capital of the Arab world. Crossed by the Tigris River, populated today by some 10 million inhabitants, it remains the largest city in Iraq as well as the second most populated city in the Arab world (behind Cairo in Egypt).
The Abbasid cities were built on huge sites. The palaces and mosques of Samarra, the new capital from 836, stretch along the banks of the Tigris for 40 kilometers. To match the scale of the sites, monumental buildings were erected, such as the Abu Dulaf Mosque or the Great Mosque of Samarra, which had no equivalent elsewhere. Its curious spiral minaret (52 meters high) inspired in the following centuries the Western representations of the Tower of Babel.
Moreover, by relying on an extremely disciplined and obedient army from Khorassan (a region in north-eastern Iran) [*3], as well as on an elaborate system of stagecoaches and mail distribution, the Abbasid rulers managed to increase their hold on the provincial governors. The latter, who in the time of the Omayyad caliphs paid little tax on the pretext that they had to spend locally for the defense of the caliphate’s borders, now had to pay the taxes imposed by the ruler.
The New “Paper” Road
After the military victory against the Chinese in the battle of Talas (a city in present-day Kyrgyzstan) in 751, the year that marked the most eastern advance of the Abbasid armies, Baghdad opened up to Chinese and Indian cultures.
The Abbasid quickly assimilated a number of Chinese techniques, in particular paper-making, an art developed in Samarkand (capital of Sogdiana, now in Uzbekistan), another stopover city on the Silk Roads. The craftsmen of this city smoothed the paper with an agate stone. The resulting extremely smooth and shiny surface absorbed less ink and as a result, both sides of the same sheet became usable. The Chinese, who had invented silk paper, did not need to smooth their paper because they wrote with brushes and not with pens.
Hâroun al-Rachîd was very interested in the industrial production of paper. He ordered the use of paper in all the administrations of the Empire: it is easier to manufacture, less expensive and more secure than silk, because one cannot easily erase what is written on it. He developed the paper factories of Samarkand and established similar ones in Baghdad, Damascus and Tiberias around 1046 – the paper of Tripoli or Damascus was then referred to, and its quality was considered better than that of Samarkand – in Cairo before 1199, where it was used as a packaging for goods, and in Yemen at the beginning of the 13th century. At the same time, several paper factories were established in North Africa. There were 104 paper factories in Fez, Morocco, before 1106, and 400 paper mills between 1221 and 1240. They will emerge in Andalusia, Spain, in Jativa near Valencia in 1054 and in Toledo in 1085.
The first Abbasid caliphs led the economic transition from the Umayyad model of tribute, booty or the sale of slaves to an economy based on agriculture, manufacturing, trade and taxes. The introduction of more energy dense modes of technologies modes of energy (compared to the former ones), will revolutionize irrigation and agriculture:
–Construction of canals ensuring irrigation and limiting flooding;
–Construction of dams and the exploitation of the mechanical energy they produce;
–Construction of water mills;
–Use of tidal energy;
–Construction of windmills;
–Distillation of kerosene used as fuel for lamps and used since. [*4]
Industrial uses of water mills in the Islamic world date back to the 7th century. During the time of the Crusades, all provinces of the Islamic world had operating mills, from al-Andalus and North Africa to the Middle East and Central Asia.
These mills performed various agricultural and industrial tasks.
When Erasmus’ follower Cervantes’ Don Quichote starts attacking the windmills of La Mancha, a Spanish region where Arab influence was notable, he not only ironially mocks the cult of chivalry, but also the insane undertaking called the crusades.
Irrigation, inherited from the ancient world (floods of the Nile in Egypt, canals in Mesopotamia, pendulum wells (shadoof), water wheels used to raise water (noria), dams in Transoxiana, Khuzistan and Yemen, underground galleries at the foot of the mountains in Iran (qanat) or in the Maghreb (khettara), is organized thanks to a solid community organization and the intervention of the State.
Abbasid artisans and engineers will develop machines (such as pumps) incorporating crankshafts and use gears in mills and water-lifting machines. They will also use the dams to provide additional power to watermills and water-lifting machines. Such advances will allow the mechanization of many agricultural and industrial tasks and free up the workforce for more creative occupations.
Agricultural production gains in diversity : cereals (wheat, rice), fruits (apricots, citrus fruits), vegetables, olive oil (Syria and Palestine), sesame (Iraq), roe, rapeseed, flax or castor oil (Egypt), wine production (Syria, Palestine, Egypt), dates, bananas (Egypt), sugar cane.
Breeding remains important for food, for the supply of raw materials (wool, leather) and for transport (camels, dromedaries, horses). Sheep are present everywhere but buffalo farming is developing (marshes of lower Iraq or Orontes). Small poultry, pigeon and bee farms are in high demand. The people’s diet is predominantly vegetarian (rice cake, wheat porridge, vegetables and fruits).
A number of industries will emerge from this agro-industrial revolution, including the first textile factories, the production of ropes, silk and, as noted above, the manufacture of paper. Finally, metalworking, glassware, ceramics, tooling and crafts also experience high levels of growth during this period.
Charlemagne, Baghdad and China
Finally, in the eighth and ninth centuries, seeking to counter the Omayyad and the Byzantine Empire, Abbasid and Carolingian Franks conclude several agreements and alliances.
Three diplomatic missions were sent by Charlemagne to the court of Hâroun al-Rachîd and the latter sent at least two embassies to Charlemagne. The caliph sent him many gifts, such as spices, fabrics, an elephant and an automatic clock, described in the Frankish Royal Annals of 807. It marked the 12 hours with copper balls falling on a plate at each hour, and also had twelve horsemen who appeared in turn at the same intervals.
The same caliph sent a diplomatic mission to Chang’an (now called Xi’an), capital of the Tang dynasty. Chang’an being the eastern terminus of the Silk Road, the western market of Chang’an became the center of world trade. According to the record of the Tang Six Authority, more than 300 nations and regions had trade relations with Chang’an.
Maritime Silk Road
These diplomatic relations with China were contemporary with the maritime expansion of the Muslim world into the Indian Ocean and the Far East. Apart from the Nile, Tigris and Euphrates, navigable rivers were uncommon, so transport by sea was very important. The ships of the caliphate began to sail from Siraf, the port of Basra, to India, the Straits of Malacca and Southeast Asia.
Arab merchants dominated trade in the Indian Ocean until the arrival of the Portuguese in the 16th century. Hormuz was an important center for this trade. There was also a dense network of trade routes in the Mediterranean, along which Muslim countries traded with each other and with European powers such as Venice or Genoa.
The Silk Road crossing Central Asia passed through the Abbasid caliphate between China and Europe. At that time, Canton, or Khanfu in Arabic, a port of 200,000 people in southern China, had a large community of traders from Muslim countries. And when the Chinese Emperor Yongle decided to send his famous flotilla of ships to Africa, he chose Admiral Zheng He (1371-1433), a court eunuch who was born a Muslim. And when in 1497 the Portuguese captain Vasco da Gama reached the Kenyan city of Malindi, he was able to obtain an Arab pilot who took him directly to Kozhikode (Calicut) in India. In short, a sailor who knew how to navigate on the stars.
Scientific and cultural renaissance
Thus, it is under the caliphate of Hâroun al-Rachîd and his son Al-Ma’mûn, that Baghdad and the Abbasids will experience a real golden age, both in the sciences (philosophy, astronomy, mathematics, medicine, etc.) and in the arts (architecture, poetry, music, painting, etc.). For the British writer Jim Al-Khalili, “the fusion of Greek rationalism and Mutazilite Islam will give rise to a humanist movement of a type that will hardly be seen before 15th century Italy.”
In the field of sciences, an assimilation of Hellenistic, Indian and Persian astronomical doctrines took place very early. Several Sanskrit [*5] and Pehlevi [*6] writings were translated into Arabic.
Indian works by the astronomer Aryabhata (476-560), a prominent scientist of the Indian Gupta Renaissance, and the mathematician Brahmagupta (590-668) were cited early on by their Arabic counterparts. A famous translation into Arabic appeared around 777 under the title Zij al-Sindhind (or Indian Astronomical Tables). Sources indicate that this text was translated after the trip of an Indian astronomer invited to the court of the Abbasid caliph Al-Mansur in 770. The Arabs also adopted the sines (inherited from Indian mathematics) which they preferred to the chords used by Greek astronomers. From the same period, a collection of astronomical chronicles compiled over two centuries in Sassanid Persia and known in Arabic as the Zij al-Shah (or Royal Tables).
In the field of music, the Persian-born Arab musician Ishaq al-Mawsili (767-850), among others, can be mentioned. A composer of about two hundred songs, he was also a virtuoso on the oud (a kind of lute with a short neck but no frets). He is credited with the first system of codification of learned Arabic music.
Respecting the visual arts, let us first stress that, contrary to the prevailing opinion, the Koran does not prohibit figurative images. There is no explicitly stated and universally accepted “ban” on images of living figures in Islamic legal texts. On the other hand, Islam, like other major religions, condemns the worship of idols.
From the eighth to the fifteenth century, numerous historical and poetic texts, both Sunni and Shi’a, many of which appeared in Turkish and Persian contexts, include admirable depictions of the Prophet Muhammad. The purpose of these images was not only to praise and pay homage to the Prophet, but represent occasions and central elements for the practice of Muslim faith.
In this respect, the book by the German art historian Hans Belting with the catchy title Florence & Baghdad, Renaissance Art and Arab Science (2011) is not only misleading but downright outrageous. Belting presents “Islam” as an aniconic faith (banning all human and animal representations), while in reality, besides exquisite calligraphy and geometric patterns in search for the infinite, representations of men and animals are an essential part of Islamic artistic expression.
In addition, other religions have experienced strong outbreaks of iconoclasm. For example, and this is one of the reasons why so little is known about ancient Greek painting, between 726 and 843, the Byzantine Empire ordered the systematic destruction of images representing Christ or the saints, whether they were mosaics adorning church walls, painted images or book illuminations.
From there on, Belting, for whom Islam is in essence an aniconic civilization, has great difficulty in demonstrating what he announces in the title: the influence of Arab science (notably Ibn al-Haytam work on human vision) on the Renaissance in Florence (in particular its definition of “geometric perspective”). In fact, presenting himself as an erudite, peaceful and “objective” scholar, Belting’s book feeds into the bellicose thesis of a supposed “Clash” of civilizations, while claiming the opposite.
The first manifestations of pictorial art in the Arab-Muslim world date back to the Omayyad period (660-750). It is from this period that date the famous “desert castles”, such as Qusayr ‘Amra, in Eastern Jordan. Covered with wall paintings, these palaces reflect a contribution of the Byzantine, but also Persian Sassanid modes of representation. Thus, in the palace of Qusayr ‘Amra, used as a resort by the Caliph or his princes for sport and pleasure, the frescoes depict constellations of the zodiac, hunting scenes, fruits and women in the bath.
In the field of literature, Al-Rashid built up a vast library including a collection of rare books as well as thousands of books that kings and princes of the ancient world offered him.
For example, Kalila and Dimna, also known as the Indian Fables of Bidpaï, one of the most popular works of world literature. Compiled in Sanskrit nearly two thousand years ago, these animal fables, from which Aesop and La Fontaine drew, were translated from China to Ethiopia. Translated into Arabic around 750 by Ibn al-Muqaffa, they were richly illustrated in the Arab, Persian and Turkish worlds. The oldest illustrated Arabic version was probably produced in Syria in the 1200s. The landscape is symbolized by a few elements: a strip of grass, shrubs with stylized leaves and flowers. Men and animals are represented with bright colors and simplified lines.
A true manual for the education for kings, one of the fables evokes the idea,
of creating a university dedicated to the study of languages,
ancient and modern, and to the preservation,
in renewed forms, of the heritage of the human species…
And at the end of his story, the wise Bidpaï warns the young king Dabschelim:
“I must emphasize this last point: my stories require, at this stage, no extra commentary, wretched imaginings, or vapid guesswork by you, me, or anyone else. The very worst habit would be that of moralizing away the effective substance. Thus the urge to tag tidy little rationalizations, persuasive formulas, intellectual summaries, symbolical labels, or nay other convenient pigeon-holing device, mus be steadfastly resisted. Mental encapsulation perverts the medecine, rendering it impotent. It amount to a bypass around the story’s true destination; to explain away is to forget. It is also a type of hypocrisy – poisonous, an antidote to truth. Thus, let the stories which you can remember do their own work by their very diversity. Familiarize yourself with them, but fiddle with them not.”
Also noteworthy is The Sessions of the poet and man of letters Al-Hariri (1054-1122) [*7], written at the end of the tenth century and which had a tremendous diffusion throughout the Arab world. The text, which recounts the adventures of the brigand Abu Zayd, is particularly suitable for illustration.
Al-Ma’mûn and the Houses of Wisdom (Bayt al-Hikma)
After a violent dispute with his brother who sought to remove him from power, Al-Ma’mûn, the youngest son of Al-Rashid, became the eighth Abbasid caliph in 813. He was particularly interested in the work of scholars, especially those who knew Greek. He gathered in Baghdad thinkers of all beliefs, whom he treated magnificently and with the greatest tolerance. They all wrote in Arabic, a language that allowed them to understand each other. He brought manuscripts from Byzantium to enrich the vast library of his father. Open to scholars, translators, poets, historians, physicians, astronomers, scientists and philosophers, this first public library became the basis of the Bayt Al-Hikma (the “Houses of Wisdom”) combining translation, teaching, research and even public health activities, long before the Western universities. It was here that all known scientific manuscripts of the time, especially Greek writings, were gathered for study.
In Baghdad, this cultural bubbling will not remain confined to the Court but will go down to the street as this description of Baghdad by Ibn Aqul (died in 1119) testifies:
“First there is the large space called the Bridge Square. Then the Birds’ Market, a market where one can find all kinds of flowers and on the sides of which are the elegant stores of the money changers. (…) Then the caterers’ market, the bakers’ market, the butchers’ market, the goldsmiths’ market, unrivaled for the beauty of its architecture: high buildings with teak beams, supporting corbelled rooms. Then there is the huge booksellers’ market, which is also the gathering place for scholars and poets, and the Rusafa market. In the markets of Karkh and the Gate of the Ark, the perfumers do not mix with the merchants of grease and products with unpleasant smells; in the same way the merchants of new objects do not mix with the merchants of used objects.”
Persia, the Nestorians and medicine
As a model for the Houses of Wisdom, the Persian influence and precedents are often mentioned. It is true that the Barmakids, a family of Persian origin [*8], had a great influence on the first Abbasid caliphs.
In fact, al-Ma’mûn’s tutor was Jafar ben Yahya Barmaki (767-803), a member of the family of the Armenians and the son of the Persian vizier of his father Al-Rashid. The Persian elite who advised the Abbasid caliphs took a keen interest in the works of the Greeks, whose translation had begun during the reign of the Sassanid king Khosro I Anushirvan (531-579).
The latter founded the Academy of Medicine in Gondichapur. Many Nestorian (Christian) scribes and scholars had taken refuge there after the Council of Ephesus in 431. [*9]
The liturgical language of the Nestorians was Syriac, a Semitic dialect [*10].
Like the Jews, these Nestorian Christians possessed a cosmopolitan culture and a knowledge of languages (Syriac and Persian) that enabled them to act as intermediaries between Iran and its neighbors. And thanks to their access to the wisdom of ancient Greece, they were often employed as physicians. [*11]
The Academy of Medicine of Gondichapur [*12] had reached its peak in the 5th century thanks to the Syriac scholars expelled from Edessa. In this school, medicine was taught based on the translations of the Greek scholar and physician Claudius Galen. These teachings were put into practice in a large hospital, a tradition taken up in the Muslim world. This school was a meeting place for Greek, Syriac, Persian and Indian scholars, whose scientific influence was mutual. Heir to the Greek medical knowledge of Alexandria, the school of Gondichapur trained several generations of physicians at the court of the Sassanid and later at that of the Muslim Abbasid. As early as 765, the Abbasid caliph Al-Mansur, who reigned from 754 to 775, consulted the head of the Gondichapur hospital, Georgios ben Bakhtichou, and invited him to Baghdad. His descendants will work and teach medicine there. Long after the establishment of Islam, the Arab elites sent their sons to this Nestorian Christian school.
Timothy I (727-823) was the Christian patriarch of the Church of the East (“Nestorian”) between 780 and 823. His first decision was to establish the seat of his church in Baghdad, where it was to remain until the end of the thirteenth century, thus forging privileged links between the Nestorians and the Abbasid caliphs. A man with a good command of Syriac, Arabic, Greek and eventually Pehlevi, Timothy enjoyed the consideration of the Abbasid caliphs Al-Mahdi, Al-Rashid and Al-Ma’mûn.
During his forty-three years of pontificate, the Eastern Church lived in peace. Moreover, the Nestorians played a major role in the spread of Christianity in Central Asia as far as China via the Silk Road. In Central Asia, before the arrival of Islam, it was Sogdian, (the Iranian language of Sogdia and its capital Samarkand) that served as the lingua franca on the Silk Road. [*13]
Translating, understanding, teaching, improving
In Baghdad and Basra, in the Houses of Wisdom, the histories and texts collected after the collapse of the empire of Alexander the Great were translated and made available to scholars, texts initially collated and translated from Syriac into Persian under the aegis of the Sassanid emperors.
The Arab historian and economist Ibn Khaldun (1332-1406), who came from a large Andalusian family of Yemeni origin, paid tribute to this effort to preserve and disseminate the Greek heritage: “What happened to the sciences of the Persians whose writings, at the time of the conquest, were annihilated by order of Omar? Where are the sciences of the Chaldeans, the Assyrians, the inhabitants of Babylon? Where are the sciences that reigned among the Copts in the past? There is only one nation, that of the Greeks, whose scientific productions we possess exclusively, and that is thanks to the care that Al-Ma’mûn took in translating these works.”
These first translations into Arabic made available to the Arab-Muslim world hundreds of texts on philosophy, medicine, logic, mathematics, astronomy, music, etc., from Greek, Pehlevi, Syriac, Hebrew, Sanskrit, etc, including those of Plato, Aristotle, Pythagoras, Sushruta, Hippocrates, Euclid, Charaka, Ptolemy, Claudius Galen, Plotinus, Aryabhata and Brahmagupta.
They were accompanied by reflections, commentaries, translations of commentaries, etc. and gave rise to a new form of literature. According to the Nestorian patriarch Timothy I, it was at the request of the Caliph Al-Mahdi that he translated Aristotle’s Topics from Syriac into Arabic. He also wrote a treatise on astronomy entitled The Book of Stars, now lost.
An astrology and astronomy enthusiast, Al-Ma’mûn once made it a condition of peace with the Byzantine Empire to hand over a copy of the Almagest, Ptolemy’s main work, which was supposed to summarize all Greek astronomical knowledge. In 829, in the upper district of Baghdad, he built the first permanent observatory in the world, the Baghdad Observatory, allowing his astronomers, who had translated the Astronomical Treatise of the Greek Hipparchus of Nicaea (190-120 B.C.), as well as his star register, to methodically monitor the movement of the planets.
Here is what Sâ’id al-Andalusî (1029-1070) tells us about Al-Ma’mûn’s interest in astronomy and his efforts to advance it:
“As soon as Al-Ma’mûn became caliph, his noble soul made every effort to attain wisdom, and to this end he was particularly concerned with philosophy; moreover, the scholars of his time studied in depth a book by Ptolemy and understood the diagrams of a telescope that was drawn therein. So Al-Ma’mûn gathered all the great scholars present throughout the regions of the caliphate, and he asked them to build the same kind of instrument so that they could observe the planets in the same way as Ptolemy had done and those who had preceded him. The object was built and the scholars brought it to the city of al-Shamâsiyya in the region of Damascus in the Sham in the year 214 AH (829 AD). Through their observations they determined the exact duration of a solar year as well as the inclination of the sun, the exit of its center and the situation of its various faces, which allowed them to know the state and positions of the other planets. Then the death of the caliph al-Ma’mûn in 218 A.H. (833) put an end to this project, but they nevertheless completed the astronomical telescope and named it ‘the Ma’mûn telescope’”
Now, let me present you a short list of the main astronomers, mathematicians, thinkers, scholars and translators who frequented the Houses of Wisdom:
—Al-Jahiz (776-867). The encyclopedic approach of this Mutazilite is conceived as « a necklace gathering pearls » or as a garden which, with its plants, its harmonious organization and its fountains, represents in miniature the whole universe. He sketches the principle of the evolution of species;
—Al-Khwarizmi (780-850), (in Latin Algorithmus). This Persian mathematician and astronomer, according to some a Zoroastrian converted to Islam, would have been a follower of mutazilism. He is best known for having invented the method of solving mathematical problems, which is still used today and which is called algorithm. He studied for some time in Baghdad but it is also reported that he made a trip to India. Al Khawarizmi invented the word algebra (from the Arabic word j-b-r, meaning force, beat or multiply), introduced the Indian numerical system to the Muslim world, institutionalized the decimal system in mathematics, and formalized the testing of scientific hypotheses based on observations;
—Sahl Rabban al-Tabari (786-845), a Jewish astronomer and physician whose name means “The son of the rabbi of Tabaristan”. His son Ali was the tutor of al-Razi (865-925). An alchemist who became a physician, he is said to have isolated sulfuric acid and ethanol and was among the first to advocate their medical use. He greatly influenced the conception of hospital organization in connection with the training of future doctors. He was the object of much criticism for his opposition to Aristotelianism;
—Al-Hajjaj (786-823) made the first Arabic translation of Euclid’s Elements from Greek. He also translated Ptolemy’s Almagest;
—Al-Kindi (801-873) (known as Alkindus), considered the father of Arab philosophy, was a mutazilist. He was a prolific author (about 260 books) and explored all fields: geometry, philosophy, medicine, astronomy, physics, arithmetic, logic, music and psychology. Along with his colleagues, Al-Kindi was entrusted with the translation of the manuscripts of Greek scholars. After the death of Al-Ma’mun in 833, he was considered too much of a mutazilist, fell into disgrace and his library was confiscated;
—The Banu Musa (“children of Moses”) brothers, three brilliant sons of a deceased astrologer, friend of the Caliph. Mohammed will work on astronomy; Ahmed and Hassan on the canals linking the Euphrates to the Tigris, a guarantee of the control and optimization of their respective floods. They published the Book of Ingenious Mechanisms, an inventory of new techniques and machines [*14];
—Hunayn ibn Ishâk (808-873) (known as Iohannitius). This Nestorian Christian was entrusted by Al-Ma’mun with the task of overseeing the quality of translations; a physician, he translated some of the works of the Greek physician Claudius Galen;
—Thabit ibn Qurra (836-901), a Syrian astronomer, mathematician, philosopher and musicologist;
—Qusta ibn Luqa (820-912), a Greek Byzantine physician, also a philosopher, mathematician, astronomer, naturalist and translator. A Christian of the Melkite Church, he spoke both Greek (his mother tongue) and Arabic, as well as Syriac. Considered, along with Hunayn ibn Ishaq, as one of the key figures in the transmission of Greek knowledge from Antiquity to the Arab-Muslim world. He was the translator of Aristarchus of Samos for whom the Earth revolved around the Sun and the author of a treatise on the astrolabe;
—Ibn Sahl (940-1000), in the footsteps of Al-Kindi, wrote a treatise on burning mirrors and lenses around 984, explaining how they can focus light on a point. His work was perfected by Ibn Al-Haytam (965-1040) (Latin name: Alhazen), whose writings reached as far as Leonardo da Vinci, via the Commentaries of Ghiberti. In Ibn-Sahl, we find the first mention of the law of refraction, later rediscovered in Europe as the law of Snell-Descartes.
Drawn into Bagdad for the opportunities it offered, these scholars generally worked in teams in a totally interdisciplinary spirit. Al-Ma’mûn, monitoring the science projets and noting the contradictions that arose from the translations of Greek, Persian and Indian sources, fixed with the scholars the next great scientific challenges to be met:
–To obtain, thanks to more efficient astronomical observatories, tables of astronomical ephemerides [*15] of greater precision than those of Ptolemy;
–To calculate with precision the circumference of the Earth with more advanced methods than those of the Greek astronomer Eratosthenes (3rd century BC);
–Produce a world map integrating the latest geographical knowledge concerning the distances between cities and the size of the continents;
–Deciphering the Egyptian hieroglyphs that Al-Ma’mûn had discovered during his trip to Egypt.
Translations of Plato
By asserting that what had advanced science at this period was the rediscovery of Aristotle and his purely empiricist method, one forgets the rediscovery of Plato, whose dialectical and hypothetical method has often done more for science than blind empiricism.
Al-Kindi’s intense involvement in the Platonic tradition is reflected in his summaries of the Apology and the Crito, and in his own works that paraphrase the Phaedo or are inspired by the Meno and the Symposium. The Syrian scientist Ibn al-Bitriq, a member of Al-Kindi’s “circle” in Bagdad, translated the Timaeus.
Otherwise, the House of Wisdom’s top translator, Hunayn ibn Ishaq and his circle translated the Greek physician Claudius Galen’s commentaries on the Timaeus, especially his On what Plato said in the Timaeus in a medical way and his On the doctrines of Hippocrates and Plato. And from Hunayn’s own works, we know that some of his students translated Galen’s lost Greek summaries of Plato’s Cratylus, Sophist, Parmenides, Euthydemus, Republic and Laws. Finally, the physician al-Razi presented and commented on Plutarch’s treatise On the Generation of the Soul in the Timaeus.
possible for some, complicated for others
In the West, the name of Al-Kindi is best known in association with The Apology of Al-Kindi, an anonymous text of the time. It is probably a fictitious dialogue between two believers, one Muslim (Abdallah Al-Hashimi), the other Christian (Al-Kindi), both criticizing the other’s and praising one’s own religion and inviting the other to join him! This dialogue supposedly took place at the time of the caliph Al-Ma’mûn. What we know about the open-mindedness of the Caliph does not contradict this assertion. The earliest known mention of the existence of this Apology came to us from Al-Biruni (973-1048).
The manuscript of Al-Kindi’s Apology was translated into Latin in 1142 at the request of Peter the Venerable (1092-1156), grand abbot of the abbey of Cluny, the most powerful and important in Latin Europe. That same year, after visiting Toledo, he conceived the idea of a systematic refutation of the Muslim religion, which he considered heretical and errant.
Here is how he explains the translation he has just ordered of the Koran (the Lex Mahumet pseudoprophete) by a team of translators (including an Arab) brought together for the occasion:
“Whether one gives the Mohammedan error the shameful name of heresy or the infamous one of paganism, one must act against it, that is, write. But the Latins and especially the moderns, the ancient culture perishing, according to the word of the Jews who once admired the polyglot apostles, do not know any other language than that of their native land. So they could neither recognize the enormity of this error nor stop it. So my heart was inflamed and a fire burned in my meditation. I was indignant that the Latins did not know the cause of such a perdition and their ignorance robbed them of the power to resist it; for no one answered, for no one knew. So I went to find specialists in the Arabic language which has allowed this deadly poison to infest more than half the globe. I persuaded them, by dint of prayers and money, to translate from Arabic into Latin the history and doctrine of this wretched man and his very law, which is called Koran”.
Accused hence “the Arabic language which allowed this deadly poison (Islam) to infest more than half of the globe”…
This declaration of war was undoubtedly required to motivate his troops. Let us recall that Eudes de Châtillon, the grand prior of the abbey of Cluny, who will become Pope Urban II in 1088, will be, in 1095, at the origin of the first crusade sending the bandits who ravaged France, to go and wage war elsewhere.
The decline and Al-Ghazali
Let us return to the Abbasids. As we have said, with the arrival in power of Al-Mutawakkil in 847, mutazilism was removed from power and the Houses of Wisdom were reduced to simple libraries. This did not prevent a traveller, describing his visit to Baghdad in 891, from reporting that the city contained more than one hundred public libraries. Following the Bayt Al-Hikma model, small libraries were founded on every street corner of the city…
Entangled in endless theological debates between experts and won by sectarianism, the mutazilist elite cut itself off from a people who were losing confidence and eventually welcomed with a sense of relief the obscurantist doctrine of Al-Ghâzalî (1058-1111) (Latin name: Algazel), the worst enemy of the mutazilites.
Al-Ghâzalî proposed a radical solution: philosophy is only right when it agrees with religion – which, according to Al-Ghâzalî, is rare. This leads him to radicalize his position, and to attack more and more the Greco-Arab philosophy, guilty, in his eyes, of blasphemy.
Where someone like the Persian Ibn Sina (980-1037) (Latin name: Avicenna), author of the Canons or Precepts of Medicine (around 1020), crossed Greek philosophy and Muslim religion, Al-Ghazali wanted to filter the first through the second.
Hence his most famous and important work, The Incoherence of the Philosophers, written in 1095. In it, he denounces the “pride” of the philosophers who claim to “rewrite the Koran” through Plato and Aristotle. Their error is above all a logical one, as the title of the book itself indicates, which underlines their “incoherence”: they want to complete the Koran with Greek philosophy, whereas the Koran comes later in history and therefore does not need to be completed. He therefore promotes a much more literal approach to the Koranic text, whereas Ibn Sina defended, cautiously it is true, a metaphorical approach. In truth, it is Aristotelianism and nominalism that triumph. The doctrine opposing Mutazilism became known as Ash’arism.
For Ascharites, to speak of God’s justice and rationality is a double blasphemy, because it amounts to limiting his omnipotence. If God were, as the Mutazilites say, compelled to will what is good, then he would be … compelled, which the Ascharites find theologically unacceptable. Therefore, believers should not admit the idea that God wills good, but submit to the principle that whatever he wills is good because he wills it.
Similarly, it is blasphemous to look for « second causes » in nature, i.e. scientific laws. The world exists because God, at every moment, wants it to exist. Any scientific research, any attempt to apply reason and analysis, is an offense to the divine omnipotence.
For Sébastien Castellion, the rejection of reason by the Ascharite school – and subsequently by much of Muslim civilization – was not an implicit and subterranean process, but an explicit decision based on theological principles. The great jurist Ibn Hanbal, whose school is predominant in Saudi Arabia today, said that « all those who indulge in reasoning by analogy and personal opinions are heretics (…). Accept only, without asking why and without making comparisons. »
The fall of Bagdad
From the eleventh century onward, the Abbasid, whose Empire was fragmenting, called upon the Turkish Seljuk princes to protect them against the Shiites, supported by the Fatimid caliphate of Cairo. Gradually, the Turkish and Mongol troops, coming from Central Asia, ended up governing the security of the Abbasid caliph while letting him exercise his religious power.
Then, in 1258, they deposed the last caliph and confiscated his title of successor of the Prophet, which gave them religious power over the four schools of Sunnism. In order to subdue the Arab and Persian populations, the Seljuk Turks created the madrasa (Koranic school) where the conservative doctrine of Acharite Sunnism was taught to the exclusion of the dialectical Mutazilite theology, considered an ideological threat to Turkish authority over the Arabs.
The Abbasid Empire declined as a result of administrative negligence, abandonment of canal maintenance, flood-induced famine, social injustice, slave revolts, and religious tensions between Shiites and Sunnis. At the end of the 9th century, the Zendj, black slaves (from Zanzibar) who worked in the marshes of the lower Iraq, revolted several times, even occupying Basra and threatening Baghdad. The Caliph restored order at the cost of an unprecedentedly violent repression. The rebels were only crushed in 883 at the cost of many victims. The empire did not recover.
In 1019, the Caliph forbade any new interpretation of the Koran, radically opposing the Mutazilite school. This is a brutal stop to the development of critical thinking and intellectual and scientific innovations in the Arab Empire, the consequences of which are still felt today.
Since the dawn of time (it is the case to say it), man has tried to understand the organization of the stars in the environment near the Earth.
Installations such as Stonehenge (2800 BC) in England allowed the first observers to identify the cycles that determine the place and the exact day when certain stars rise. All these observations posed paradoxes: around us, the earth appears relatively flat, but the Moon or the Sun that we perceive with the same eyes seem spherical. The Sun « rises » and « sets », our senses tell us, but where is the reality?
It seems that Thales of Miletus (625-547 BC) was the first to have really wondered about the shape of the Earth. He thought that the Earth was shaped like a flat disk on a vast expanse of water. Then Pythagoras and Plato imagined a spherical shape, which they considered more beautiful and rational. Finally Aristotle reported some observational evidence such as the rounded shape of the Earth’s shadow on the Moon during eclipses.
The Greek scientist Eratosthenes (276 BC- 194 BC), chief librarian of the Alexandria library, then calculated the Earth’s circumference. He had noticed that at noon, on the day of the summer solstice, there was no shadow on the side of Aswan. By measuring the shadow of a stick planted in Alexandria at the same time and knowing the distance between the two cities, he deduced the circumference of the Earth with a rather astonishing accuracy: 39,375 kilometers against some 40,000 kilometers for current estimates.
Between Ptolemy’s Almagest and Copernicus’ De Revolutionibus, as we have said, Arabic astronomy constitutes “the missing link”.
The original title of Ptolemy’s work is The Mathematical Composition. The Arabs, very impressed by this work, called it “megiste”, from the Greek meaning “very great”, to which they added the Arabic article “al”, to give “al megiste” which became Almageste.
It is important to know that Ptolemy never had the opportunity to re-read his treatise as a whole. After writing the first of the thirteen books of his work, the one on “The Fundamental Postulates of Astronomy”, Ptolemy passed it on to copyists who reproduced it and distributed it widely without waiting for the completion of the other twelve books…
In the end, confronted with observations that called into question his own observations and in order to rectify his errors, Ptolemy wrote another work, after the Almagest, entitled Planetary Hypotheses. The author returned to the models presented in the Almagest while making modifications to the average motions (of the planets) to take into account the latest observations. However, his Planetary Hypotheses went beyond the mathematical model of the Almagest to present a physical realization of the universe as a set of nested spheres, in which he used the epicycles of his planetary model to calculate the dimensions of the universe. Finally, the Almagest also contains a description of 1022 stars grouped into 48 constellations.
Ptolemy also presents stereographic projection invented by Hipparchus, the theoretical basis for the construction of the astrolabe by Arab astronomers.
In the ninth century, when the Arabs became interested in astronomy, knowledge was based on the following principles summarized in the work of Ptolemy:
–Ignoring the assertions of Aristarchus of Samos (310-230 BC) for whom the Earth revolved around the Sun, Ptolemy resumed in the second century AD the thesis of Eudoxus of Cnidus (approx. 400-355 BC) and especially Hipparchus (180 to 125 BC) to assert that the Earth is a motionless sphere placed at the center of the world (geocentrism);
–Ptolemy agreed with Plato, who was inspired by Pythagoras, that the circle was the only perfect form, and that the other bodies turning around the Earth did so according to circular and uniform trajectories (without acceleration or deceleration);
–Yet everyone knew that some planets do not follow these perfect rules. In the 6th century, the neo-Platonic philosopher Simplicius, in his Commentary on Aristotle’s Physics, wrote: “Plato then poses this problem to the mathematicians: what are the uniform and perfectly regular circular motions that should be taken as hypotheses, so that we can save the appearances that the wandering stars present?” ;
–In order to account for the « apparent retrograde motion » of Mars, Hipparchus will introduce other secondary perfect figures, again circles. The articulation and interaction of these “epicycles” gave the appearance of sticking with the observed facts. Ptolemy took up this approach;
–However, the more the precision of astronomical measurements improved, the more anomalies were discovered and the more it was necessary to multiply these interlocking “epicycles”. It quickly became very complicated and inextricable;
–The universe is divided into a sub-lunar region where everything is created and therefore perishable, and the rest of the universe, supra-lunar, which is imperishable and eternal.
Hipparchus of Nicea
The Arab astronomers, for both religious and intellectual reasons that we mentioned at the beginning of this article, initially discovered and then, on the basis of increasingly detailed observations, challenged Hipparchus’ hypotheses, which were the basis of the Ptolemaic model.
Hipparchus imagined a system of coordinates for the stars based on longitudes and latitudes. We also owe him the use of parallels and meridians to locate the Earth as well as the division of the circumference into 360° inherited from the sexagesimal calculation (base 60) of the Babylonians.
In astronomy, his works on the rotation of the Earth and the planets are numerous. Hipparchus explains the mechanism of the seasons by noting the obliquity of the ecliptic: the inclination of the Earth’s axis of rotation. By comparing his observations with older ones, he discovered the precession of the equinoxes due to this tilt: the Earth’s axis of rotation makes a conical movement from East to West and of revolution 26,000 years. Thus in a few millennia, the North Pole will no longer be found with the North Star (Polaris) but with another star, Vega.
Based on Hipparchus, the Arabs perfected and fabricated an important instrument for measuring positions: the astrolabe. This “mathematical jewel” allows to measure the position of stars, planets, to know the time on Earth. Later, the astrolabe was replaced by more precise and easier to use instruments, such as the quadrant, the sextant or the octant.
With the manuscripts at their disposal in the Houses of Wisdom and the observatories of Baghdad and Damascus, the Arab astronomers had texts of an incredible richness but often in flagrant contradiction with their own observations of the movements of the Moon and the Sun. It is from this confrontation that later discoveries were born. The Arabs introduced a lot of mathematics to solve problems, especially trigonometry and algebra.
The Arab astronomers
In order to present the main Arab astronomers and their contributions, here is an excerpt from J. P. Maratray’s remarkable article L’astronomie arabe.
—Al-Khwarizmi (783-850) called Algorithmi.
A mathematician, geographer and astronomer of Persian origin, he was a member of the « House of Wisdom ». He is one of the founders of Arab mathematics, inspired by Indian knowledge, in particular the decimal system, fractions, square roots… He is credited with the term “algorithm”. Algorithms are known since antiquity, and the name of Al-Khwarizmi (Algorithmi in Latin) will be given to these sequences of repeated elementary operations. He is also the author of the term “algebra”, which is the title of one of his works on the subject. He was also the first to use the letter x to designate an unknown in an equation. He wrote the first book of algebra (al-jabr) in which he described a systematic method of solving second degree equations and proposed a classification of these equations. He introduced the use of numbers that we still use today. These “Arabic” numbers are in fact of Indian origin, but were used mathematically by Al-Khwarizmi. He adopted the use of the zero, invented by the Indians in the 5th century, and adopted by the Arabs through him. The Arabs will translate the Indian word “sunya” by “as-sifr”, which becomes “ziffer” and “zephiro”. Ziffer will give “number”, and zephiro, “zero”. Al-Khwarizmi established astronomical tables (position of the five planets, the Sun and the Moon) based on Hindu and Greek astronomy. He studied the position and visibility of the Moon and its eclipses, the Sun and the planets. It is the first completely Arabic astronomical work. A crater of the Moon bears his name.
—Al-Farghani (805-880) called Alfraganus (mentioned in Dante’s Commedia).
Born in Ferghana in present-day Uzbekistan, he wrote in 833 the Elements of Astronomy, based on the Greek knowledge of Ptolemy. He was one of the most remarkable astronomers in the service of Al-Ma’mûn, and a member of the House of Wisdom. He introduced new ideas, such as the fact that the precession of the equinoxes must affect the position of the planets, and not only that of the stars. His work was translated into Latin in the 12th century, and had a great impact on the very closed circles of Western European astronomers. He determined the diameter of the Earth, which he estimated at 10500 km. We also owe him a work on sundials and another on the astrolabe.
—Al-Battani (850-929) called Albatenius.
He observed the sky from Syria. He is sometimes called “the Ptolemy of the Arabs”. His measurements are remarkably accurate. He determined the length of the solar year, the value of the precession of the equinoxes, the inclination of the ecliptic. He noted that the eccentricity of the Sun is variable, without going so far as to interpret this phenomenon as an elliptical trajectory. He wrote a catalog of 489 stars. We owe him the first use of trigonometry in the study of the sky. It is a much more powerful method than the geometrical one of Ptolemy. His main work is The Book of Tables. It is composed of 57 chapters. Translated into Latin in 1116 by Plato of Tivoli, it will greatly influence the European astronomers of the Renaissance.
—Al-Soufi (903-986) known as Azophi.
Persian astronomer, he translated Greek works including the Almagest and improved the estimates of the magnitudes of stars. In 964, he published « The Book of Fixed Stars », where he drew constellations. He seems to have been the first to report an observation of the large Magellanic cloud (a nebula), visible in Yemen, but not in Isfahan. Similarly, we owe him a first representation of the Andromeda galaxy, probably already observed before him. He described it as « a small cloud » in the mouth of the Arabian constellation of the Great Fish. Its name (Azophi) was given to a crater on the Moon.
—Al-Khujandi (circa 940- circa 1000).
He was a Persian astronomer and mathematician. He built an observatory in Ray, near Tehran, with a huge sextant, constructed in 994. It is the first instrument able to measure angles more precise than the minute of angle. He measures with this instrument the obliquity of the ecliptic, by observing the meridian passages of the Sun. He found 23° 32′ 19 ». Ptolemy found 23° 51′, and the Indians, much earlier, 24°. The idea of the natural variation of this angle never occurred to the Arabs. They discussed for a long time about the accuracy of the measurements, which made their science advance.
—Ibn Al-Haytam (965-1039) called Alhazen.
A mathematician and optician born in Basra in present-day Iraq, he was asked by the Egyptian authorities to solve the problem of the Nile floods. His solution was the construction of a dam towards Aswan. He gave up in front of the enormity of the task (the dam was finally built in 1970!). Faced with this “failure”, he feigned madness until the death of his boss. He made a critical assessment of Ptolemy’s theses and those of his predecessors, and wrote Doubts on Ptolemy. He draws up a catalog of the inconsistencies, without however proposing an alternative solution. Among the inconsistencies he noted were the variation in the apparent diameter of the Moon and the Sun, the non-uniformity of the allegedly circular motions, the variation in the position of the planets in latitude, the organization of the Greek spheres. Observing that the Milky Way has no parallax, he placed it very far from the Earth, in any case further away than Aristotle’s sub-lunar sphere. Despite his doubts, he maintains the central place of the Earth in the universe. Ibn Al-Haytam takes up the work of Greek scholars, from Euclid to Ptolemy, for whom the notion of light is closely linked to the notion of vision: the main question being whether the eye has a passive role in this process or whether it sends a kind of fluid to “interrogate” the object. Through his studies of the mechanism of vision, Ibn Al-Haytam showed that the two eyes were an optical instrument, and that they actually saw two separate images. If the eye sent this fluid, one could see at night, he speculated. He understood that the sunlight reflected off the objects and then entered the eye. But for him, the image is formed on the lens… He took up Ptolemy’s ideas on the rectilinear propagation of light, accepted the laws of reflection on a mirror, and sensed that light has a finite, but very great speed. He studied refraction, the deviation of a light ray as it passes from one medium to another, and predicted a change in the speed of light as it passes. But he could never calculate the angle of refraction. He found that the phenomenon of twilight is related to the refraction of sunlight in the atmosphere, which he tried to measure the height, without success. Already known in antiquity, we owe him a very precise description and the use for experimental purposes of the dark room (camera obscura), a black room that projects an image on a wall through a small hole drilled in the opposite wall. The result of all this optical research is recorded in his Treatise on Optics, which took him six years to write and was translated into Latin in 1270. [*16] In mechanics, he asserted that an object in motion continues to move as long as no force stops it. This is the principle of inertia before the letter. An asteroid bears his name: 59239 Alhazen.
Certainly one of the greatest scholars of medieval Islam, originally from Persia, he was interested in astronomy, geography, history, medicine and mathematics, and philosophy in general. He wrote more than 100 works. He was also a tax collector and a great traveler, especially in India, where he studied language, religion and science. At the age of 17, he calculated the latitude of his native town of Kath (in Persia, now in Uzbekistan). At the age of 22, he had already written several short works, including one on cartography. In astronomy, he observed the eclipses of the Moon and the Sun. He is one of the first to evaluate the errors on his measurements and those of his predecessors. He noticed a difference between the average speed and the apparent speed of a star. He measured the radius of the Earth at 6339.6 km (the correct figure is 6378 km), a result used in Europe in the 16th century. During his travels, he met Indian astronomers who supported heliocentrism and the rotation of the Earth on its axis. He will always be skeptical, because this theory implies the movement of the Earth. But he will ask himself the question: « Here is a problem difficult to solve and to refute ». He believes that this theory does not lead to any mathematical problems. He refuted astrology, arguing that this discipline is more conjectural than experimental. In mathematics, he developed the calculation of proportions (rule of three), demonstrated that the ratio of the circumference of a circle to its diameter is irrational (future number Pi), calculated trigonometric tables, and developed methods of geodesic triangulations.
—Ali Ibn Ridwan (988-1061).
Egyptian astronomer and astrologer, he wrote several astronomical and astrological works, including a commentary on another book of Claudius Ptolemy, the Tetrabible. He observed and commented on a supernova (SN 1006), probably the brightest in history. Its magnitude is estimated today, according to the testimonies that have come down to us, at -7.5! It remained visible for more than a year. He explains that this new star had two to three times the apparent diameter of Venus, a quarter of the brightness of the Moon, and that it was low on the southern horizon. Other western observations corroborate this description, and place it in the constellation of the Wolf.
—From the 11th to the 16th century.
After a first phase, more important observatories were built. The first of them, model of the following ones, is that of Maragheh, in the current Iran. Their purpose was to establish planetary models and to understand the movement of the stars. (…) The school thus constituted will have its apogee with Ibn Al-Shâtir (1304-1375). Other observatories will follow, such as the one in Samarkand in the 15th century, Istanbul in the early 16th century, and, in the West, the one of Tycho Brahe in Uraniborg (Denmark at that time) at the end of the 16th century. The new models were no longer Ptolemaic inspired, but remained geocentric. The physics of the time still refused to put the Earth in motion and to remove it from the center of the world. These models were inspired by the Greek epicycles, keeping the circles, but simplifying them. For example, Al-Tûsî proposes a system comprising a circle rolling inside another circle of double radius. This system transforms two circular motions into an alternating rectilinear motion, and explains the variations of the latitude of the planets. Moreover, it accounts for the variations of the apparent diameters of the stars. But to go further, it will be necessary to change the reference system, which the Arabs refused to do. This change will occur with the Copernican revolution, during the Renaissance, in which the Earth loses its status as the center of the world.
—Al-Zarqali (1029-1087) said Arzachel.
Mathematician, astronomer and geographer born in Toledo, Spain, he discussed the possibility of the movement of the Earth. Like others, his writings will be known to Europeans of the sixteenth and seventeenth century. He designed astrolabes, and established the Toledo Tables, which were used by the great Western navigators such as Christopher Columbus, and served as a basis for the Alphonsine Tables. He established that the eccentricity of the Sun varies, more precisely that the center of the circle on which the Sun rotates moves periodically away from or towards the Earth. A crater of the Moon bears his name, as well as a bridge of Toledo on the Tagus.
—Omar Al-Khayyam (1048-1131).
Known for his poetry, he was also interested in astronomy and mathematics. He became director of the Isfahan observatory in 1074. He created new astronomical tables even more precise, and determined the duration of the solar year with great accuracy, given the instruments used. It is more accurate than the Gregorian year, created five centuries later in Europe. He reformed the Persian calendar by introducing a leap year (Djelalean reform). In mathematics, he was interested in third degree equations by demonstrating that they can have several solutions (he found some of them geometrically). He wrote several texts on the extraction of the cubic roots, and a treaty of algebra.
Astronomer and mathematician, born in the city of Tus in present-day Iran, he built and directed the observatory of Maragheh. He studied the works of Al-Khayyam on proportions, and was interested in geometry. On the astronomical side, he commented on the Almagest and completed it, like several astronomers (Al-Battani…) before him. He estimates the obliquity of the ecliptic at 23°30′.
Persian mathematician and astronomer, he witnessed a lunar eclipse in 1406 and wrote several astronomical works afterwards. He spent the rest of his life in Samarkand, under the protection of Prince Ulugh Beg (1394-1449) who founded a university there. He became the first director of the new observatory of Samarkand. His astronomical tables propose values with 4 (5 according to the sources) digits in sexagesimal notation of the sine function. He gives the way to pass from a system of coordinates to another. His catalog contains 1018 stars. He improves the tables of eclipses and visibility of the Moon. In his treatise on the circle, he obtained an approximate value of Pi with 9 exact positions in sexagesimal notation, that is to say 16 exact decimals! A record, since the next improvement of the estimation of Pi dates from the 16th century with 20 decimals. He leaves his name to a generalization of the Pythagorean theorem to any triangles. This is the Al-Kashi theorem. He introduced the decimal fractions, and acquired a great reputation which made him the last great Arab mathematician astronomer, before the West took over.
—Ulugh Beg (1394-1449).
Grandson of Tamerlan, prince of the Timurid (descendants of Tamerlan). Viceroy from 1410, he acceded to the throne in 1447. He was a remarkable scholar and a poor politician, a position he delegated to devote himself to science. His teacher was Qadi Zada al-Rumi (1364-1436) who developed in him a taste for mathematics and astronomy. He built several schools, including one in Samarkand in 1420 where he taught, and an observatory in 1429. He worked there with some 70 mathematicians and astronomers (including Al-Kashi) to write the Sultanian Tables published in 1437 and improved by Ulugh Beg himself shortly before his death in 1449. The accuracy of these tables will remain unequaled for more than 200 years, and they were used in the West. They contain the positions of more than 1000 stars. Their first translation dates from around 1500, and was made in Venice.
—Taqi Al-Din (1526-1585).
After a period as a theologian, he became the official astronomer of the Sultan in Istanbul. He built an observatory there with the aim of competing with those of European countries, including that of Tycho Brahe. The observatory was opened in 1577. He drew up the Zij tables (“the unbroken pearl”). He was the first to use comma notation, rather than the traditional sexagesimal fractions in use. He observed and described a comet, and predicted that it was a sign of victory for the Ottoman army. This forecast turns out to be erronous, and the observatory is destroyed in 1580… He then devotes himself to mechanics, and describes the functioning of a rudimentary steam engine, invents a water pump, and is fascinated by clocks and optics.
The destruction of the observatory of Istanbul marks the end of the Arab astronomical activity of the Middle Ages. It was not until the Copernican revolution that new progress was made, and what progress! Copernicus and his successors were certainly strongly inspired by the results of the Arabs through their works. Travel and direct contact between scientists of the time were rare. Since Westerners did not understand Arabic, Latin translations probably influenced the West, along with the works of some Greek philosophers who had questioned the central position of the Earth, as Aristarchus of Samos had proposed around 280 BC.
The modern observatory, in its conception, is a worthy successor of the Arab observatories of the late Middle Ages. Unlike the private observatories of the Greek philosophers, the Islamic observatory is a specialized astronomical institution, with its own premises, scientific staff, teamwork with observers and theoreticians, a director and study programs. They have recourse, as today, to increasingly large instruments, in order to constantly improve the accuracy of measurements.
The first of these observatories was built during the reign of Al-Ma’mûn in Bagdad in the 9th century. We have already mentioned the observatory of Ray, near Tehran and second city of the Abbasid Empire after Baghdad, with its monumental wall sextant dating from 994. To these must be added the observatories of Toledo and Cordoba in Spain, Baghdad and Isfahan.
Finally, the one in Maragheh in the north of present-day Iran, built in 1259 with funds collected to maintain hospitals and mosques. Al-Tusi worked there. Then came the era of the observatory of Samarkand, built in 1420 by the astronomer Ulugh Beg (1394-1449), whose remains were found in 1908 by a Russian team.
Much more than the crusades, it will be the Mongol offensives that will devastate entire sections of the Arab-Muslim civilization. Genghis Khan (1155-1227), to the great pleasure of some Westerners, will destroy the Muslim kingdoms of Khwarezm (1218) and Sogdia with Bukhara and Samarkand (1220). The great city of Merv in 1221. In 1238, his son will seize Moscow, then Kiev. In 1240, Poland and Hungary will be invaded. In 1241, Vienna was threatened.
Before bringing down the Song Dynasty in China in 1273, the Mongols turned against the Abbassid.
Hence, the Houses of Wisdom came to a brutal end on February 12, 1258 with the Mongol invasion of Baghdad led by Hulagu (Genghis Khan’s grandson), who killed the last Abbasid caliph Al-Mu’tassim (despite his surrender) and destroyed the city of Baghdad and its cultural heritage. Hulagu also ordered the massacre of the caliph’s entire family and entourage.
Mutazilism was banned and the magnificent collection of books and manuscripts in the House of Wisdom in Baghdad was thrown into the muddy water of the Tigris, which turned brown for a few days because of the inked papers of the books and manuscripts.
One report says that the Mongols exterminated twenty-four thousand scholars and an incalculable number of books were lost. Of Mutazilism, its doctrine was only known through the texts of the traditionalist theologians who had attacked it. It was only the discovery of the voluminous works of Abdel al Jabbar Ibn Ahmad in the 19th century that made it possible to understand the key role played my this current of thought in the Arab renaissance and the formation of current Muslim theology, whether Sunni or Shiite.
Closer to home, the Iraq war of 2003: until then, Iraq was the world’s largest publisher of scientific publications in Arabic. As a result of the chaos caused by a war waged in the name of “democracy” and “the war on terror”, both the National Library and the National Archives were looted and burned. The same happened to the Central Library of Pious Legacies, the Library of the Iraqi University of Sciences, as well as many public libraries in Baghdad, Mosul and Basra. The same was true for the archaeological treasures of the Iraqi Museum and its library. It seems that some people have declared war on civilization.
- A theodicy or « righteousness of God ») is an explanation of the apparent contradiction between the existence of evil and two characteristics peculiar to God: his omnipotence and his goodness.
- Sumer. The natural environment of the Sumerian country was not really favorable to the development of a productive agriculture: poor soils with a high content of salts harmful to the growth of plants, very high average temperatures, insignificant rainfall, and flooding of rivers coming in the spring, at harvest time, and not in the fall when the seeds need them to germinate, as is the case in Egypt. It was therefore the ingenuity and relentless labor of Mesopotamian farmers that enabled this country to become one of the granaries of the ancient Middle East. From the 6th millennium BC, the peasant communities developed an irrigation system which gradually branched out to cover a large area, thereby taking advantage of the advantage offered to them by the extremely flat relief of the Mesopotamian delta, where there was no no natural obstacle to the extension of the irrigation canals over tens of kilometers. By regulating the level of water derived from natural watercourses to adapt it to the needs of crops, and by developing techniques aimed at limiting soil salinization (leaching of fields, practice of fallow), it was possible to obtain very high cereal yields.
- Khorassan is a region located in northeastern Iran. The name comes from the Persian and means « where does the sun come from ». It was given to the eastern part of the Sassanid Empire. Khorassan is also considered the medieval name of Afghanistan by Afghans. Indeed, this territory included present-day Afghanistan, as well as southern Turkmenistan, Uzbekistan and Tajikistan.
- In the 10th century, the Persian medical scholar Mohammad Al-Razi describes the distillation of petroleum to obtain kerosene or « illuminating petroleum » in his Book of Secrets.
- Sanskrit is a language of India, among the oldest known Indo-European languages (older even than Latin and Greek). It is notably the language of Hindu religious texts and, as such, it continues to be used as a cultural language, like Latin in centuries past in the West.
- Peshlevi or Middle Persian is an Iranian language that was spoken during the Sassanid era. She descends from Old Persian. Middle Persian was usually written using the Pahlevi script. The language was also written using the Manichean script by the Manichaeans of Persia.
- Abu Muhammad al – Qasim ibn ’Ali al – Hariri (1054–1122), Arab man of letters, poet and philologist, was born near Basra, in present-day Iraq. He is known for his Oaths and his maqâmât (literally fashions, often translated as assemblies or sessions), a collection of 50 short stories combining social and moral commentary with the brilliant expressions of the Arabic language. If the genre of maqâma was created by Badi’al – Zaman al – Hamadhani (969–1008), it is the sessions of al – Hariri that best define it. Written in a rhyming prose style called saj ’and interwoven with exquisite verse, the stories are meant to be entertaining and educational. Each of the anecdotes takes place in a different city in the Muslim world during the time of al – Hariri. They tell of an encounter, usually at a gathering of townspeople, between two fictional characters: the narrator al – Harith ibn Hammam and the protagonist Abu Zayd al-Saruji. Over the centuries, the work has been copied and commented on many times, but only 13 copies still in existence today have illuminations illustrating scenes from the stories. The manuscript presented here, executed in 1237, was both copied and illustrated by Yahya ibn Mahmud al-Wasiti, often considered the first Arab artist. It contains 99 miniatures of exceptional quality. No other known copy contains so much. The miniatures, recognized for their striking depiction of Muslim life in the 13th century, are considered to be the earliest Arab paintings created by an artist whose identity is known. Al – Wasiti, founder of the Baghdad School of Illumination, was also a remarkable calligrapher, as evidenced by his fine Naskhi style. The almost immediate popularity of the maqâmât reached Arab Spain, where Rabbi Judah al-Harizi (1165-c. 1225) translated the sessions into Hebrew under the title Mahberoth Itiel and subsequently composed his own Tahkemoni, or Hebrew sessions. . The work was also translated into many modern languages.
- The Barmecids or Barmakids are members of a Persian nobility family originally from Balkh in Bactria (north of Afghanistan). This family of Buddhist religious (paramaka means in Sanskrit the superior of a Buddhist monastery) who became Zoroastrians and then converted to Islam provided many viziers to the Abbasid caliphs. The Barmakids had acquired a remarkable reputation as patrons and are regarded as the main instigators of the brilliant culture which then developed in Baghdad.
- The Christological thesis of Nestorius (born c. 381 – died 451), Patriarch of Constantinople (428-431), was declared a heretic and condemned by the Council of Ephesus. For Nestorius, two hypostases, one divine, the other human, coexist in Jesus Christ. From the Eastern Church, Nestorianism was one of the historically most influential forms of Christianity in the world throughout late Antiquity and the Middle Ages, to India, China and Mongolia.
- Syriac (a form of Aramaic, the language of Christ) is alongside Latin and Greek the third component of ancient Christianity, rooted in Hellenism but also descended from Near Eastern and Semitic antiquity. From the first centuries, in a movement symmetrical to that of the Greco-Latin Christian tradition towards the west, Syriac Christianity developed towards the east, as far as India and China. Syriac is still today the liturgical and classical language (a bit like Latin in Europe) of the Syriac Orthodox, Syriac Catholic, Assyrian, Chaldean and Maronite Churches in Lebanon, Syria, Iraq and South India. Where is. Finally, it is the branch of Christianity most in contact with Islam in which he continued to live.
- In South-West Asia, the Greek influence remained alive in several cities under Christian influence: Edessa (now Urfa in Turkey), at the time capital of the county of Edessa, one of the first Eastern Latin states, the closest to the Islamic world; Antioch (now Antakya in Turkey); Nisibe (now Nusaybin in Turkey); Al-Mada’in (ie “The Cities”), an Iraqi metropolis on the Tigris, between the royal cities of Ctesiphon and Seleucia on the Tigris and Gondichapour (now in Iran) whose ruins remain. To this must be added the cities of Latakia (in Syria) and Amed (today Diyarbakir in Turkey) where there were Jacobite centers (Christians of the East, but members of the Syriac Orthodox Church, not to be confused with the Nestorians).
- The Gondishapour Academy was located in present-day Khuzestan province in southwestern Iran, near the Karoun River. It offered the teaching of medicine, philosophy, theology and science. The faculty was well versed not only in Zoroastrian and Persian traditions, but also taught Greek and Indian languages. The Academy included a library, an observatory, and the oldest known teaching hospital. According to historians, the Cambridge of Iran was the most important medical center in the Old World (defined as the territory of Europe, the Mediterranean and the Near East) during the 6th and 7th centuries.
- Sogdian is a middle Iranian language spoken in the Middle Ages by the Sogdians, a trading people who resided in Sogdiana, the historic region encompassing Samarkand and Bukhara and covering more or less present-day Uzbekistan, Tajikistan and northern Afghanistan. Before the arrival of Arabic, Sogdian was the lingua franca of the Silk Road. Sogdian traders settled in China and Sogdian monks were among the first to spread Buddhism there. As early as the 6th century, Chinese rulers appealed to the Sogdian elite to resolve diplomatic, commercial, military and even cultural issues, prompting many Sogdians to migrate from Central Asia and China’s border regions to major Chinese political centers.
- The Book of Ingenious Machines contains a hundred machines or objects, most of them due to the Banou Moussa brothers or adapted by them: funnel, crankshaft, conical ball valves, float valve and other hydraulic regulation systems, mask gas and ventilation bellows for mines; dredge, variable jet fountains, hurricane lamp, auto-off light, auto-powered; automatic musical instruments including a programmable flute.
- Astronomical ephemeris: registers of the positions of stars at regular intervals.
- Ibn Al-Haytam. In 2007, during a conference at the Sorbonne, I explored the use, by the Flemish painter Jan Van Eyck (early 15th century), of a bifocal geometric perspective, wrongly qualified as « primitive », erroneous and intuitive, actually inspired by the work and binocular experiences of the Arab scholar Ibn Al-Haytam (Alhazen). The latter drew on the work of his predecessors Al-Kindi, Ibn Luca and Ibn Sahl. Alhazen was widely known in the West thanks to the translations of the Franciscans of the University of Oxford (Grosseteste, Bacon, etc.). See summary biography.
- 310-230 BC.: Life of the Greek astronomer Aristarchus of Samos;
- 190-120 BC.: life of the Greek astronomer Hipparchus of Nicaea;
- v. 100-160 : life of Roman astronomer Claudius Ptolemy;
- 700-748: life of Wasil ibn Ata, intellectual founder of Mutazilism;
- 750: beginning of the Abbasid dynasty;
- 751: Abbasid victory against the Chinese at the battle of Talas (Kyrgyzstan);
- 763: founding of Baghdad by Caliph Al-Mansur;
- 780: Timothy I, patriarch of the Nestorian Christian church in Baghdad;
- 780-850: life of the Arab mathematician al-Kwarizmi;
- 786 to 809: caliphate for 23 years of Haroun al-Rachîd, legendary hero of the Thousand and One Nights tales. Development of mutazilism;
- 801-873: life of the mutazilist and Platonic philosopher Al-Kindi;
- 805-880: life of Al-Farghani, treatise on the Astrolabe;
- 813-833: caliphate of Al-Ma’mûn (20 years);
- 829: creation of the first permanent astronomical observatory in Baghdad followed by that of Damascus;
- 832: creation of the public library and creation of the Maisons de la Sagesse;
- 833: shortly before his death, Al-Ma’mûn decrees the created Koran and has mutazilism adopted as the official doctrine of the Abbasids;
- 836: transfer from the capital to Samarra;
- 848: the mutazilites removed from the Baghdad court;
- 858-930: life of Al-Battani, known as Albatenius;
- 865-925: life of translator and doctor Sahl Rabban al-Tabari;
- 869-883: revolt of the Zanj (black slaves from Zanzibar);
- 892: return from the capital of the Abbasids to Baghdad;
- 965-1039: life of Ibn Al-Haytam, known as Alhazen;
- 973-1048: life of Al-Biruni;
- 1095: first crusade;
- 1258: Baghdad sacked by the Mongols;
- 1259: creation of the Maragheh Astronomical Observatory (Iran);
- 1304-1375: life of Ibn Al-Shâtir;
- 1422: creation of the Astronomical Observatory of Samarkand, capital of Sogdiana;
- 1543: Polish astronomer Nicolas Copernicus publishes his De Revolutionibus;
- 1917: British troops enter Baghdad;
- 2003: looting and destruction by systematic arson of libraries and museums during the Iraq war.
- Mutazilism, website of the Association for the Renaissance of Mutazilite Islam (ARIM);
- Antoine Le Bail, Who are the mutazilites, sometimes called the « rationalists » of Islam ?, website of the Institut du Monde Arabe (IMA), Paris;
- Richard C. Martin, Mark R. Woodward with Dwi S. Atmaja, Defenders of Reason in Islam, Mu’tazilism from Medieval School to Modern Symbol, Oneworld, Oxford, 1997;
- Rober R. Reilly, The Closing of the Muslim Mind, How Intellectual Suicide Created the Modern Islamist Crisis, ISI, Wilmington, 2011;
- Nadim Michel Kalife, The Lights of the First Centuries of Islam, on financialafrik.com, 2019;
- Mahmoud Azab, A Vision of the Universality of Arab-Islamic Civilization, Oberta de Catalunya University, www.uoc.edu;
- Sabine Schmidke, The People of Monotheism and Justice: Mutazilism in Islam and Judaism, Institute for Advanced Study, 2017;
- Malek Chebel, Slavery in the Land of Islam, Fayard, Paris 2012;
- Jacques Cheminade, Sublime words and idiocy by Nasr Eddin Hodja;
- Jacques Cheminade, Proposals for an inter-religious dialogue;
- Hussein Askary: Baghdad 767-1258 A.D., Melting Pot for a Universal Renaissance, Executive Intelligence Review, 2013;
- Hussein Askary: The Beauty of the Islamic Renaissance, the Elephant Clock, S&P website;
- Dr Subhi Al-Azzawi, The House of Wisdom of the Abbasids in Baghdad or the beginnings of the University, pdf on the internet;
- Dimitri Gutas, Greek Thought, Arab Culture. The movement of Greco-Arabic translation in Baghdad and primitive Abbasid society (2nd-4th / 8th-10th centuries), Aubier, Paris 2005;
- Jim Al-Khalili, The House of Wisdom, How Arab Science Saved Ancient Knowledge and Gave Us the Renaissance, Pinguin, London 2010;
- Jonathan Lyons, The House of Wisdom, How the Arabs Transformed Western Civilization, Bloomsbury, London 2009;
- Pastor Georges Tartar, Islamo-Christian Dialogue under Caliph Al-Ma’mûn, Les épitres d’Al-Hashimi and d’Al-Kindî, Nouvelles Editions Latines, Paris, 1985;
- Al-Kindî, On First Philosophy, State University of New York Press, Albany, 1974;
- Marie Thérèse d´Alverny, The transmission of philosophical and scientific texts in the Middle Ages, Variorum, Aldershot 1994;
- Danielle Jacquart, Françoise Micheau, Arab medicine and the medieval West, Maisonneuve, Paris 1990;
- Juan Vernet Gines, What culture owes to the Arabs of Spain, Sindbad, Actes Sud, Paris, 2000;
- Karen Armstrong, Islam, A Short History, Phoenix, London, 2002;
- Muriel Mirak Weisbach, Andalusia, a gateway to the Renaissance;
- Régis Morelon, Eastern Arab Astronomy between the 8th and 11th Century, in History of Arab Sciences, edited by Roshdi Rashed, Vol. 1, Astronomy, Theoretical and Applied, Seuil, Paris, 1997;
- George Saliba, Planetary Theories in Arab Astronomy after the 11th Century, in History of Arab Sciences, edited by Roshdi Rashed, Vol. 1, Astronomy, Theoretical and Applied, Seuil, Paris, 1997;
- Roshi Rashed, Geometric Optics, in History of Arab Sciences, edited by Roshdi Rashed, Vol. 2, Mathematics and physics, Seuil, Paris, 1997;
- Jean-Pierre Verdet, A History of Astronomy, Seuil, Paris, 1990;
- J. P. Maratray, Arab Astronomy, on the Astrosurf.com website;
- Jean-Pierre Luminet, Ulugh Beg – The Astronomer of Samarkand, 2018;
- Kitty Ferguson, Pythagoras, His Lives and the Legacy of a Rational Universe, Walker publishing Company, New York, 2008;
- Sir Thomas Heath, Aristarchus of Samos, The Ancient Copernicus, Dover, New York, 1981:
- A. T. Papadopoulo, Islam and Muslim Art, The Art of Great Civilizations, Mazenod, Paris, 1976;
- Olag Grabar, Art and Culture in the Islamic World, Arts & Civilizations of Islam, Köneman, Cologne, 2000;
- Christiane Gruber, Images of Muhammad in Islam, Afkar / Ideas, Spring 2015;
- Hans Belting, Florence & Baghdad, Renaissance art and Arab science, Harvard University Press, 2011;
- Dominique Raynaud, Ibn al-Haytham on binocular vision: a precursor of physiological optics, Arabic Sciences and Philosophy, Cambridge University Press (CUP), 2003, 13, pp. 79-99;
- Jonathan M. Bloom, Paper Before Print: The History and Impact of Paper in the Islamic World, Yale University Press, 2001;
- Karel Vereycken, Jan Van Eyck, a Flemish painter in Arabic optics, S&P website;
Le beau livre de l’historien néerlandais Bernhard Ridderbos, Schilderkunst in de Bourgondische Nederlanden (La peinture aux Pays-Bas bourguignon, Davidsfonds, Leuven 2015) est un régal pour les yeux et l’esprit.
Ridderbos, déjà irrité par l’habile campagne de propagande menée depuis des siècles par des banquiers italiens pour qui « la » Renaissance n’était qu’italienne et pour qui les fiammingo n’étaient que des « Primitifs », démarre son ouvrage en incendiant (non sans raison) une œuvre qui reste une référence, L’automne du Moyen Age (1919), de Johan Huizinga (1872-1945).
Pour cet historien néerlandais influant, recteur de l’Université de Leyden :
L’art de Van Eyck, dans sa capacité de figurer les choses saintes, a su atteindre un haut degré de détail et de naturalisme, marquant sans doute un point de départ sur le plan strict de l’histoire de l’art, mais signifiant en réalité une fin sur le plan historico-culturel. La tension extrême de l’imagination terrestre du divin fut atteint ici ; cependant, le contenu mystique de son imagination s’apprêtait à quitter ces images et à ne laisser les réjouissances qu’à la forme
Niant l’esprit clairement pré-renaissant des peintres flamands du début du XVe siècle, pour Huizinga, leur naturalisme n’était rien d’autre que « le déploiement ultime de l’esprit moyenâgeux tardif. »
Or, comme j’ai cherché à démontrer, en avril 2006, lors de mon exposé au Colloque international à la Sorbonne sur le thème de « La recherche du divin à travers l’espace géométrique », Robert Campin, Jan van Eyck et d’autres peintres flamands, qu’on présente assez souvent comme récalcitrant à utiliser les modèles perspectivistes développés par l’italien Leon Battista Alberti et comme en témoigne la présence assez imposante de miroirs convexes dans leurs œuvres (Volets Werl, Epoux Arnolfini), se sont inspirés des travaux mathématiques et géométriques complexes du grand scientifique arabe Ibn Al-Haytam.
Mieux connu en Occident sous son nom latin Alhazen, ses travaux d’optique, notamment sur la lumière et les miroirs convexes, se retrouvent dans les carnets de Léonard de Vinci, lecteur assidu des Commentaires de Ghiberti. *
Libéré de cette chape de plomb de l’autocensure, Ridderbos approfondit l’iconographie, les contextes économiques, sociaux et culturels. Sans égarer le lecteur dans un marécage de détails et d’hypothèses stériles, il nous offre des éclairages très intéressants sur le comment et le pourquoi des créations artistiques de cette époque.
Ceux parmi vous qui n’ont jamais pris le temps de lire ni l’œuvre monumentale d’Erwin Panofsky, ni les imposantes monographies publiées en Belgique par le Fonds Mercator d’Anvers relatant in extenso la vie des grands peintres flamands tels que Robert Campin, Rogier Van der Weyden, Jan Van Eyck, Hans Memling, Thierry Bouts, Hugo Van der Goes et Gérard David, remercieront Ridderbos pour non seulement en avoir extrait la quintessence, mais pour les avoir mis en relation les unes avec les autres.
En premier lieu, il montre à quel point les artistes étaient soumis à des « carnets de charges » très stricts. Un tel monastère, une telle guilde, un tel seigneur passait commande. Ils fixaient la taille de l’œuvre, le sujet et les personnes à représenter. Plusieurs théologiens, spécialistes du thème à traiter, furent parfois nommés pour conseiller et accompagner le peintre dans sa représentation de sujets religieux. L’artiste exécuta d’abord, sur son panneau, un dessin. Et ce n’est qu’une fois validé par le commanditaire, souvent après de nombreuses modifications, qu’il appliqua les couleurs. Gérard David, par exemple, a du changer l’ensemble des portraits des échevins sur son œuvre, suite à l’élection d’une nouvelle équipe…
Ensuite, Ridderbos indique comment les rivalités des uns et des autres, princes, églises, mais aussi Cités-Etats, souvent en quête de prestige (le fameux « soft power » de nos jours), ont profité à la vie artistique flamande. Princes, ducs, rois et banquiers étrangers se disputaient les peintres flamands pour fanfaronner et se mettre en avant.
Pour monter en grade, un banquier des Médicis (Angelo Tani) commande un triptyque à Hans Memling, un Jugement dernier (1466-1473), largement inspiré de l’œuvre éponyme de Van Der Weyden pour l’Hospice de Beaune.
Lorsque son confrère (Tommaso Portinari, le fondé de pouvoir des Médicis à Bruges) l’apprend, il passe commande d’un autre triptyque, une Nativité (1475), bien plus grand et plus splendide encore chez Hugo Van der Goes. Ce « triptyque Portinari » sera dévoilé à Florence en 1483 et inspirera toute une série d’œuvres italiens, notamment celles du peintre italien Domenico Ghirlandaio.
Rogier Van der Weyden, après avoir travaillé pour la ville de Louvain, se voit offrir un bien meilleur salaire par la ville de Bruxelles, les deux villes cherchant à devenir la capitale de la région.
Lorsqu’il y peint pour l’Hôtel de Ville un grand retable sur la Justice (La Justice de Trajan et Herkenbald, ca. 1450), la ville de Louvain, pour ne pas être en reste, commandera plusieurs années après une œuvre semblable (La justice d’Otton III, 1473) à Thierry Bouts, provoquant à son tour une autre ville, celle de Bruges d’en commander un du même type (Le jugement de Cambyses, 1498) chez Gérard David, un disciple et proche de l’atelier de Van der Goes.
Ridderbos bien sûr ne se limite pas à tracer cette dynamique sociologique. Il analyse comment ces peintres vont dialoguer entre eux en reprenant à leur compte les apports techniques et iconographiques de leurs confrères. Tout en mobilisant le meilleur d’eux-mêmes, ils apportèrent des choses entièrement nouvelles. C’est un processus assez similaire à l’apport compositionnel d’un Ludwig van Beethoven montant lui-même « sur les épaules des géants » que furent avant lui Bach, Haydn et Mozart.
Van der Goes et la Dévotion moderne
Dans le chapitre VII, page 179, l’auteur fait un effort particulier pour mettre en valeur l’œuvre d’Hugo Van Der Goes, un peintre remarquable qu’on a rangé un peu vite dans l’ombre de Van Eyck, Van der Weyden et Memling.
Probablement né vers 1440 à Gand, Van der Goes est reçu maître de la guilde des peintres de cette ville en 1467 et en devient le doyen en 1474. Trois ans plus tard, il est à l’apogée de la reconnaissance professionnelle et de la réussite sociale.
C’est alors qu’il abandonne la vie bourgeoise pour s’associer au grand mouvement de réforme appelé la Dévotion moderne. Pour ce faire, Van Der Goes devient frère lai auprès des Soeurs et Frères de la Vie commune, plus précisément ceux de l’abbaye du Rouge-Cloître (Rooklooster) dans la Forêt de Soignes près de Bruxelles. Il y jouit de certains privilèges, comme d’être autorisé à continuer à peindre.
La Dévotion moderne sera avant tout un mouvement éducateur. Elle fonda notamment à Deventer une école renommée ouverte aux pauvres et aux orphelins. Rudolf Agricola et son successeur Alexandre Hegius y enseignent le grec et le latin à toute une génération d’humanistes dont le plus connu s’appelle Erasme de Rotterdam.
Le fameux cardinal-philosophe, mathématicien et juriste allemand, Nicolas de Cues (1401-1464) tenait en haute estime les efforts des enseignants de Deventer. En 1469, cinq ans après sa mort, sans doute en accord avec ses derniers vœux, une partie de son héritage ira abonder (de 1470 à 1682) un fond dédié, la Bursa Cusana, permettant à une vingtaine d’élèves, dont la moitié originaire de la ville natale de Cues, d’y parfaire leur instruction.
Le piétisme de la Devotion moderne, centré sur l’intériorité, s’articule le mieux dans le petit livre de Thomas van Kempen (a Kempis) (1380-1471), L’imitation de Jésus Christ. Celui-ci souligne l’exemple à suivre de la passion du Christ tel que nous l’enseigne l’Évangile, message repris par Erasme.
Van Der Goes, animé à titre personnel par l’esprit de cette démarche, apparaît ainsi, sans l’avoir connu, avec le peintre anversois Quinten Matsys, comme « le plus erasmien » des peintres flamands. Et à ce titre, il sera capable de faire transparaître dans ses œuvres une tension dramatique plus aiguë, traduite par l’animation et l’expressivité des personnages.
On pense immédiatement aux magnifiques bergers du Triptyque Portinari. Cette œuvre est commanditée par un des banquiers les plus riches de l’époque et pourtant, ce ne sont pas les trois Rois mages qui se trouvent au premier plan, mais d’humbles bergers arrivés bien avant eux et les premiers à reconnaître l’enfant pour ce qu’il est.
Se démarquant nettement de la façon dont le peintre italien Andrea Mantegna les avait dépeint vingt ans plus tôt, c’est-à-dire comme des pauvres hères en haillons, hirsutes, sales et édentés, Van der Goes souligne leur dignité et met en avant leurs transformations.
D’ailleurs, les expressions des bergers incarneraient les trois étapes spirituelles définies par un autre inspirateur de la Devotion moderne, le mystique flamand Jan Van Ruysbroeck (1293-1381) : la vie active, la vie intérieure et la vie contemplative où l’Homme entre en communion spirituelle avec Dieu. **
Le chapeau de Nicodème
Autre exemple, son tableau La lamentation du Christ (après 1479) actuellement au Musée de Vienne. De prime abord rien de bien révolutionnaire dans cette représentation. On y voit la mère du Christ retenue par Jean lorsqu’elle s’effondre sur la dépouille mortelle de son fils.
C’est sur l’avant plan que deux figures méritent notre attention. S’appuyant sur les Geestelijke Opklimmingen (Des ascensions spirituelles) écrit par Gerard Zerbold de Zutphen (1367-1398), un auteur de la Dévotion moderne proche de Groote, Ridderbos identifie leur rôle dans cette œuvre.
A droite, d’abord, on voit Nicodème coiffé d’une capuche rouge. Selon l’Evangile selon Saint-Jean, Nicodème a été un des premiers pharisiens devenus secrètement disciples de Jésus. Ici, on le voit en pleine crise, pour ne pas dire agonie existentielle, portant un regard effrayé sur son riche chapeau posé par terre.
Or, lorsque l’on examine de plus près ce couvre-chef, on découvre qu’il est surmonté d’une couronne d’épines !
La métaphore est donc à l’image de la Dévotion moderne qui exigeait de chacun, non seulement de suivre fidèlement les rites, mais de « vivre à l’imitation du Christ », c’est-à-dire de s’élever à un tel niveau d’amour pour le Christ et l’humanité qu’on puisse offrir librement ses possessions, son patrimoine et même sa vie au vrai, au juste et au beau.
Enfin, pour compléter le tableau, à gauche, toujours au premier plan, la figure de Marie Madeleine, une autre disciple de Jésus qui le suit jusqu’à ses derniers jours.
Prostituée repentie, Marie Madeleine complète à merveille la métaphore en s’érigeant ici comme l’exemple même du travail d’introspection et d’auto-perfectionnement personnel qu’exigeaient les Sœurs et Frères de la Vie Commune.
* Ibn Al-Haytam (Alhazen) (965-1039) écrivit quelques 200 ouvrages sur les mathématiques, l’astronomie, la physique, la médecine et la philosophie. Né à Bassora, et après avoir travaillé sur l’aménagement des cours du Nil en Égypte, il se serait rendu en Espagne. Il aurait mené une série d’expériences très précises sur l’optique théorique et expérimentale, y compris sur la camera obscura (chambre noire), travaux qu’on retrouve ultérieurement dans les études de Léonard de Vinci. Ce dernier a pu lire les longs passages d’Alhazen qui figurent dans les Commentari du sculpteur florentin Ghiberti. Après que l’évêque de Reims Gerbert d’Aurillac (le futur pape Sylvestre II en 999) ramena d’Espagne le système décimal avec son zéro et un astrolabe, c’est grâce à Gérard de Crémone (1114-vers 1187) que l’Europe va accéder à la science grecque, juive et arabe. Ce savant se rendra 1175 à Tolède pour y apprendre l’arabe et effectuera la traduction de quelques 80 ouvrages scientifiques de l’arabe en latin, notamment l’Almageste de Ptolémée, les Coniques d’Apollonius, plusieurs traités d’Aristote, le Canon d’Avicenne, les œuvres d’Ibn Al-Haytam, d’Al-Kindi, de Thabit ibn Qurra et d’Al-Razi. Dans le monde arabe, ces recherches furent reprises un siècle plus tard par le physicien persan Al-Farisi (1267-1319). Ce dernier a rédigé un important commentaire du Traité d’optique d’Alhazen. En prenant pour modèle une goutte d’eau et en s’appuyant sur la théorie d’Alhazen sur la double réfraction dans une sphère, il a donné la première explication correcte de l’arc-en-ciel. Il a même suggéré la propriété ondulatoire de la lumière, alors qu’Alhazen avait étudié la lumière à l’aide de balles solides dans ses expériences de réflexion et de réfraction. Désormais la question se posait ainsi : la lumière se propage-t-elle par ondulation ou par transport de particules ?
** Voir à ce propos : Nadeije Laneyrie-dagen, L’invention du corps : La représentation de l’homme du Moyen Âge à la fin du XIXe siècle, Paris 1997, 52. ; Delphine Rabier, Les trois degrés de la vision selon Ruysbroeck l’Admirable et les Bergers du triptyque Portinari de Hugo van der Goes, in Studies in Spirituality, 27, p. 163-179, 2017.