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Thursday, October 21, 2021

Indian influence on Islamic science

From Wikipedia, the free encyclopedia

The Golden Age of Islam, which saw a flourishing of science, notably mathematics and astronomy, especially during the 9th and 10th centuries, had a notable Indian influence.

History

For the best part of a millennium, from the Seleucid era and through to the Sassanid period, there had been an exchange of scholarship between the Greek, Persian and Indian cultural spheres. The origin of the number zero and the place-value system notably falls into this period; its early use originates in Indian mathematics of the 5th century (Lokavibhaga), influencing Sassanid era Persian scholars during the 6th century.

The sudden Islamic conquest of Persia in the 640s drove a wedge between the Mediterranean and Indian traditions, but scholarly transfer soon resumed, with translations of both Greek and Sanskrit works into Arabic during the 8th century. This triggered the flourishing of Abbasid-era scholarship centered in Baghdad in the 9th century, and the eventual resumption of transmission to the west via Muslim Spain and Sicily by the 10th century.

There was continuing contact between Indian and Perso-Arabic scholarship during the 9th to 11th centuries while the Muslim conquest of India was temporarily halted. Al Biruni in the early 11th century traveled widely in India and became an important source of knowledge about India in the Islamic world during that time.

With the establishment of the Delhi Sultanate in the 13th century, northern India fell under Perso-Arabic dominance and the native Sanskrit tradition fell into decline, while at about the same time the "Golden Age of Islam" of the Arab caliphates gave way to Turko-Mongol dominance, leading to the flourishing of a secondary "Golden Age" of Turko-Persian literary tradition during the 13th to 16th centuries, exemplified on either side of Timurid Persia by the Ottoman Empire in the west and the Mughal Empire in the east.

Astronomy

The mathematical astronomy text Brahmasiddhanta of Brahmagupta (598-668) was received in the court of Al-Mansur (753–774). It was translated by Alfazari into Arabic as Az-Zīj ‛alā Sinī al-‛Arab, popularly called Sindhind. This translation was the means by which the Hindu numerals were transmitted from the Sanskrit to the Arabic tradition. According to Al-Biruni:

As Sindh was under the actual rule of the Khalif Mansur (AD 753–774), there came embassies from that part of India to Bagdad and among them scholars, who brought with them two books.
With the help of these Pandits Alfazari, perhaps also Yaqūb ibn Tāriq, translated them. Both works have been largely used, and have exercised a great influence. It was on this occasion that the Arabs first became acquainted with a scientific system of astronomy. They learned from Brahmagupta earlier than Ptolemy.

— Alberuni (Ed. & trans. Edward Sachau), Alberuni's India [The Indika of Alberuni] (1910)

Alberuni's translator and editor Edward Sachau wrote: "It is Brahmagupta who taught Arabs mathematics before they got acquainted with Greek science." Al-Fazari also translated the Khandakhadyaka (Arakand) of Brahmagupta.

Through the resulting Arabic translations of Sindhind and Arakand, the use of Indian numerals became established in the Islamic world.

Mathematics

The etymology of the word "sine" comes from the Latin mistranslation of the word jiba, which is an Arabic transliteration of the Sanskrit word for half the chord, jya-ardha.

The sin and cos functions of trigonometry, were important mathematical concepts, imported from the Gupta period of Indian astronomy namely the jyā and koṭi-jyā functions via translation of texts like the Aryabhatiya and Surya Siddhanta, from Sanskrit to Arabic, and then from Arabic to Latin, and later to other European languages.

Al-Khowarizmi (ca. 840) contributed a work on algebra and an account of the Hindu—Arabic numerals including the use of zero as a place-holder...the history of early Hindu mathematics has always presented considerable problems for the West...it is still not possible to form a clear picture of either method or motivation in Hindu mathematics...this, together with the absence of any formalised proof structure, militated against continuous mathematical development...much of the Hindu approach to mathematics was certainly conveyed to western Europe through Arabs. The Algebraic method formerly considered to have been invented by Al Khowarizimi can now be seen to stem from Hindu sources. The place-value system involving the use of nine numerals and a zero as place-holder is undoubtedly of Hindu origin and its transmission to the West had a profound influence on the whole course of mathematics. 

As in the rest of mathematical science so in Trigonometry, were the Arabs pupils of the Hindus and still more of the Greeks, but not without important devices of their own.

For over five hundred years Arabic writers and others continued to apply to works on arithmetic the name Indian.

Another important early treatise that publicized decimal numbers was the Iranian mathematician and astronomer Kushyar ibn Labban's leading arithmetic book Kitab fi usul hisab al-hind (principals of Hindu reckoning).

Abu'l-Hasan al-Uqlidisi a scholar in the Abbassid caliphate wrote al-Fusul fi al-Hisab al-Hindi ("chapters in Indian calculation") to address the difficulty in procedures for calculation from the Euclid's Elements and endorsed the use of Indian calculation. He highlighted its ease of use, speed, fewer requirements of memory and the focused scope on the subject.

Medical texts

Manka, an Indian physician at the court of Harun al-Rashid is said to have translated the Sushruta (the classical (Gupta-era) Sanskrit text on medicine) into Persian.

A large number of Sanskrit medical, pharmacological and toxicological texts were translated into Arabic under the patronage of Khalid, the vizier of Al-Mansur. Khalid was the son of a chief priest of a Buddhist monastery at Balkh. Some of his family was killed when the Arabs captured Balkh; others including Khalid survived by converting to Islam. They were to be known as the Barmakids of Baghdad who were fascinated by the new ideas from India. Indian medical knowledge was given a further boost under the Caliph Harun al Rashid (788–809) who ordered the translation of Susruta Samhita into Arabic.

We know of Yahya ibn Khalid al Barmaki (805) as a patron of physicians and, specifically, of the translation of Hindu medical works into both Arabic and Persian. In all likelihood however, his activity took place in the orbit of the caliphate court in Iraq, where at the behest of Harun al Rashid (786–809), such books were translated into Arabic. Thus Khurasan and Transoxania were effectively bypassed in this transfer of learning from India to Islam, even though, undeniably the Barmakis cultural outlook owed something to their land of origin, northern Afghanistan, and Yahya al Barmaki's interest in medicine may have derived from no longer identifiable family tradition.

The Caraka Saṃhitā was translated into Persian and subsequently into Arabic by Abd-Allah ibn Ali in the ninth century.

Probably the first Islamic hospital (Bimaristan or Maristan) was established in Baghdad Yahya ibn Khalid ibn Barmak, tutor and subsequently vizier of Harun al-Rashid when the latter became Khalif in 786. Yahya ibn Khalid ibn Barmak's hospital, usually referred to as the Barmakid Hospital must have been established before 803, the year in which the Barmakid family fell from power. The hospital is mentioned in two places in the Fihrist which was written in 997. Ibn Dahn, Al Hindi, who administered the Bimaristan of the Barmak. He translated from the Indian language into Arabic. Yahya ibn Khalid ordered Mankah (Kankah), the Indian, to translate it (an Indian book of medicine) at the hospital to render it in the form of a compilation.

Al-Razi's Al-Hawi (liber continens) of c. 900 is said to contain "much Indian knowledge" from texts such as the Susruta Samhita.

Geography

The Indian geographical knowledge that was transmitted and influenced the Arabs included the view of Aryabhata that the apparent daily rotation of the heavens was caused by the rotation of the earth on its own axis, the idea that the proportion of land and sea on the surface of the earth was half and half and the land mass as being dome shaped and covered on all sides by water.

The Arabs utilized the Indian cartographic system in which the northern hemisphere was considered to be the inhabited part of the earth and divided into nine parts. Its four geographical limits were djamakut in the east, rum in the west, Ceylon as the cupola (dome) and Sidpur.

Indians believed that the prime meridian passes through ujjain and calculated their longitudes from Ceylon. The Arabs adopted this idea of Ceylon's being the cupola of the earth but later mistakenly believed ujjain to be the cupola.

Science in the medieval Islamic world

The Tusi couple, a mathematical device invented by the Persian polymath Nasir al-Din Tusi to model the not perfectly circular motions of the planets

Science in the medieval Islamic world was the science developed and practised during the Islamic Golden Age under the Umayyads of Córdoba, the Abbadids of Seville, the Samanids, the Ziyarids, the Buyids in Persia, the Abbasid Caliphate and beyond, spanning the period roughly between 786 and 1258. Islamic scientific achievements encompassed a wide range of subject areas, especially astronomy, mathematics, and medicine. Other subjects of scientific inquiry included alchemy and chemistry, botany and agronomy, geography and cartography, ophthalmology, pharmacology, physics, and zoology.

Medieval Islamic science had practical purposes as well as the goal of understanding. For example, astronomy was useful for determining the Qibla, the direction in which to pray, botany had practical application in agriculture, as in the works of Ibn Bassal and Ibn al-'Awwam, and geography enabled Abu Zayd al-Balkhi to make accurate maps. Islamic mathematicians such as Al-Khwarizmi, Avicenna and Jamshīd al-Kāshī made advances in algebra, trigonometry, geometry and Arabic numerals. Islamic doctors described diseases like smallpox and measles, and challenged classical Greek medical theory. Al-Biruni, Avicenna and others described the preparation of hundreds of drugs made from medicinal plants and chemical compounds. Islamic physicists such as Ibn Al-Haytham, Al-Bīrūnī and others studied optics and mechanics as well as astronomy, and criticised Aristotle's view of motion.

During the Middle Ages, Islamic science flourished across a wide area around the Mediterranean Sea and further afield, for several centuries, in a wide range of institutions.

The Islamic era began in 622. Islamic armies conquered Arabia, Egypt and Mesopotamia, eventually displacing the Persian and Byzantine Empires from the region. Within a century, Islam had reached the area of present-day Portugal in the west and Central Asia in the east. The Islamic Golden Age (roughly between 786 and 1258) spanned the period of the Abbasid Caliphate (750–1258), with stable political structures and flourishing trade. Major religious and cultural works of the Islamic empire were translated into Arabic and occasionally Persian. Islamic culture inherited Greek, Indic, Assyrian and Persian influences. A new common civilisation formed, based on Islam. An era of high culture and innovation ensued, with rapid growth in population and cities. The Arab Agricultural Revolution in the countryside brought more crops and improved agricultural technology, especially irrigation. This supported the larger population and enabled culture to flourish. From the 9th century onwards, scholars such as Al-Kindi translated Indian, Assyrian, Sasanian (Persian) and Greek knowledge, including the works of Aristotle, into Arabic. These translations supported advances by scientists across the Islamic world.

The Abbasid Caliphate, 750–1261 (and later in Egypt) at its height, c. 850

Islamic science survived the initial Christian reconquest of Spain, including the fall of Seville in 1248, as work continued in the eastern centres (such as in Persia). After the completion of the Spanish reconquest in 1492, the Islamic world went into an economic and cultural decline. The Abbasid caliphate was followed by the Ottoman Empire (c. 1299–1922), centred in Turkey, and the Safavid Empire (1501–1736), centred in Persia, where work in the arts and sciences continued.

Fields of inquiry

Medieval Islamic scientific achievements encompassed a wide range of subject areas, especially mathematics, astronomy, and medicine. Other subjects of scientific inquiry included physics, alchemy and chemistry, ophthalmology, and geography and cartography.

Alchemy and chemistry

The early Islamic period saw the establishment of theoretical frameworks in alchemy and chemistry. The sulfur-mercury theory of metals, first found in pseudo-Apollonius of Tyana's Sirr al-khalīqa ("The Secret of Creation", c. 750–850) and in the writings attributed to Jabir ibn Hayyan (written c. 850–950), remained the basis of theories of metallic composition until the 18th century. The Emerald Tablet, a cryptic text that all later alchemists up to and including Isaac Newton saw as the foundation of their art, first occurs in the Sirr al-khalīqa and in one of the works attributed to Jabir. In practical chemistry, the works of Jabir, and those of the Persian alchemist and physician Abu Bakr al-Razi (c. 865–925), contain the earliest systematic classifications of chemical substances. Alchemists were also interested in artificially creating such substances. Jabir describes the synthesis of ammonium chloride (sal ammoniac) from organic substances, and Abu Bakr al-Razi experimented with the heating of ammonium chloride, vitriol, and other salts, which would eventually lead to the discovery of the mineral acids by 13th-century Latin alchemists such as pseudo-Geber.

Astronomy and cosmology

al-Biruni's explanation of the phases of the moon
 

Astronomy became a major discipline within Islamic science. Astronomers devoted effort both towards understanding the nature of the cosmos and to practical purposes. One application involved determining the Qibla, the direction to face during prayer. Another was astrology, predicting events affecting human life and selecting suitable times for actions such as going to war or founding a city. Al-Battani (850–922) accurately determined the length of the solar year. He contributed to the Tables of Toledo, used by astronomers to predict the movements of the sun, moon and planets across the sky. Copernicus (1473-1543) later used some of Al-Battani's astronomic tables.

Al-Zarqali (1028–1087) developed a more accurate astrolabe, used for centuries afterwards. He constructed a water clock in Toledo, discovered that the Sun's apogee moves slowly relative to the fixed stars, and obtained a good estimate of its motion for its rate of change. Nasir al-Din al-Tusi (1201–1274) wrote an important revision to Ptolemy's 2nd-century celestial model. When Tusi became Helagu's astrologer, he was given an observatory and gained access to Chinese techniques and observations. He developed trigonometry as a separate field, and compiled the most accurate astronomical tables available up to that time.

Botany and agronomy

The study of the natural world extended to a detailed examination of plants. The work done proved directly useful in the unprecedented growth of pharmacology across the Islamic world. Al-Dinawari (815–896) popularised botany in the Islamic world with his six-volume Kitab al-Nabat (Book of Plants). Only volumes 3 and 5 have survived, with part of volume 6 reconstructed from quoted passages. The surviving text describes 637 plants in alphabetical order from the letters sin to ya, so the whole book must have covered several thousand kinds of plants. Al-Dinawari described the phases of plant growth and the production of flowers and fruit. The thirteenth century encyclopedia compiled by Zakariya al-Qazwini (1203–1283) – ʿAjā'ib al-makhlūqāt (The Wonders of Creation) – contained, among many other topics, both realistic botany and fantastic accounts. For example, he described trees which grew birds on their twigs in place of leaves, but which could only be found in the far-distant British Isles. The use and cultivation of plants was documented in the 11th century by Muhammad bin Ibrāhīm Ibn Bassāl of Toledo in his book Dīwān al-filāha (The Court of Agriculture), and by Ibn al-'Awwam al-Ishbīlī (also called Abū l-Khayr al-Ishbīlī) of Seville in his 12th century book Kitāb al-Filāha (Treatise on Agriculture). Ibn Bassāl had travelled widely across the Islamic world, returning with a detailed knowledge of agronomy that fed into the Arab Agricultural Revolution. His practical and systematic book describes over 180 plants and how to propagate and care for them. It covered leaf- and root-vegetables, herbs, spices and trees.

Geography and cartography

Surviving fragment of the first World Map of Piri Reis (1513)
 

The spread of Islam across Western Asia and North Africa encouraged an unprecedented growth in trade and travel by land and sea as far away as Southeast Asia, China, much of Africa, Scandinavia and even Iceland. Geographers worked to compile increasingly accurate maps of the known world, starting from many existing but fragmentary sources. Abu Zayd al-Balkhi (850–934), founder of the Balkhī school of cartography in Baghdad, wrote an atlas called Figures of the Regions (Suwar al-aqalim). Al-Biruni (973–1048) measured the radius of the earth using a new method. It involved observing the height of a mountain at Nandana (now in Pakistan). Al-Idrisi (1100–1166) drew a map of the world for Roger, the Norman King of Sicily (ruled 1105-1154). He also wrote the Tabula Rogeriana (Book of Roger), a geographic study of the peoples, climates, resources and industries of the whole of the world known at that time. The Ottoman admiral Piri Reis (c. 1470–1553) made a map of the New World and West Africa in 1513. He made use of maps from Greece, Portugal, Muslim sources, and perhaps one made by Christopher Columbus. He represented a part of a major tradition of Ottoman cartography.

Mathematics

A page from al-Khwarizmi's Algebra
 

Islamic mathematicians gathered, organised and clarified the mathematics they inherited from ancient Egypt, Greece, India, Mesopotamia and Persia, and went on to make innovations of their own. Islamic mathematics covered algebra, geometry and arithmetic. Algebra was mainly used for recreation: it had few practical applications at that time. Geometry was studied at different levels. Some texts contain practical geometrical rules for surveying and for measuring figures. Theoretical geometry was a necessary prerequisite for understanding astronomy and optics, and it required years of concentrated work. Early in the Abbasid caliphate (founded 750), soon after the foundation of Baghdad in 762, some mathematical knowledge was assimilated by al-Mansur's group of scientists from the pre-Islamic Persian tradition in astronomy. Astronomers from India were invited to the court of the caliph in the late eighth century; they explained the rudimentary trigonometrical techniques used in Indian astronomy. Ancient Greek works such as Ptolemy's Almagest and Euclid's Elements were translated into Arabic. By the second half of the ninth century, Islamic mathematicians were already making contributions to the most sophisticated parts of Greek geometry. Islamic mathematics reached its apogee in the Eastern part of the Islamic world between the tenth and twelfth centuries. Most medieval Islamic mathematicians wrote in Arabic, others in Persian.

Omar Khayyam's "Cubic equation and intersection of conic sections"

Al-Khwarizmi (8th–9th centuries) was instrumental in the adoption of the Hindu–Arabic numeral system and the development of algebra, introduced methods of simplifying equations, and used Euclidean geometry in his proofs. He was the first to treat algebra as an independent discipline in its own right, and presented the first systematic solution of linear and quadratic equations. Ibn Ishaq al-Kindi (801–873) worked on cryptography for the Abbasid Caliphate, and gave the first known recorded explanation of cryptanalysis and the first description of the method of frequency analysis. Avicenna (c. 980–1037) contributed to mathematical techniques such as casting out nines. Thābit ibn Qurra (835–901) calculated the solution to a chessboard problem involving an exponential series. Al-Farabi (c. 870–950) attempted to describe, geometrically, the repeating patterns popular in Islamic decorative motifs in his book Spiritual Crafts and Natural Secrets in the Details of Geometrical Figures. Omar Khayyam (1048–1131), known in the West as a poet, calculated the length of the year to within 5 decimal places, and found geometric solutions to all 13 forms of cubic equations, developing some quadratic equations still in use. Jamshīd al-Kāshī (c. 1380–1429) is credited with several theorems of trigonometry, including the law of cosines, also known as Al-Kashi's Theorem. He has been credited with the invention of decimal fractions, and with a method like Horner's to calculate roots. He calculated π correctly to 17 significant figures.

Sometime around the seventh century, Islamic scholars adopted the Hindu–Arabic numeral system, describing their use in a standard type of text fī l-ḥisāb al hindī, (On the numbers of the Indians). A distinctive Western Arabic variant of the Eastern Arabic numerals began to emerge around the 10th century in the Maghreb and Al-Andalus (sometimes called ghubar numerals, though the term is not always accepted), which are the direct ancestor of the modern Arabic numerals used throughout the world.

Medicine

A coloured illustration from Mansur's Anatomy, c. 1450
 

Islamic society paid careful attention to medicine, following a hadith enjoining the preservation of good health. Its physicians inherited knowledge and traditional medical beliefs from the civilisations of classical Greece, Rome, Syria, Persia and India. These included the writings of Hippocrates such as on the theory of the four humours, and the theories of Galen. al-Razi (c. 865–925) identified smallpox and measles, and recognized fever as a part of the body's defenses. He wrote a 23-volume compendium of Chinese, Indian, Persian, Syriac and Greek medicine. al-Razi questioned the classical Greek medical theory of how the four humours regulate life processes. He challenged Galen's work on several fronts, including the treatment of bloodletting, arguing that it was effective. al-Zahrawi (936–1013) was a surgeon whose most important surviving work is referred to as al-Tasrif (Medical Knowledge). It is a 30-volume set mainly discussing medical symptoms, treatments, and pharmacology. The last volume, on surgery, describes surgical instruments, supplies, and pioneering procedures. Avicenna (c. 980–1037) wrote the major medical textbook, The Canon of Medicine. Ibn al-Nafis (1213–1288) wrote an influential book on medicine; it largely replaced Avicenna's Canon in the Islamic world. He wrote commentaries on Galen and on Avicenna's works. One of these commentaries, discovered in 1924, described the circulation of blood through the lungs.

Optics and ophthalmology

The eye according to Hunayn ibn Ishaq, c. 1200
 
Ibn al-Haytham (Alhazen), (965–1039 Iraq). A polymath, considered to be the father of modern scientific methodology due to his emphasis on experimental data and on the reproducibility of its results.

Optics developed rapidly in this period. By the ninth century, there were works on physiological, geometrical and physical optics. Topics covered included mirror reflection. Hunayn ibn Ishaq (809–873) wrote the book Ten Treatises on the Eye; this remained influential in the West until the 17th century. Abbas ibn Firnas (810–887) developed lenses for magnification and the improvement of vision. Ibn Sahl (c. 940–1000) discovered the law of refraction known as Snell's law. He used the law to produce the first Aspheric lenses that focused light without geometric aberrations.

In the eleventh century Ibn al-Haytham (Alhazen, 965–1040) rejected the Greek ideas about vision, whether the Aristotelian tradition that held that the form of the perceived object entered the eye (but not its matter), or that of Euclid and Ptolemy which held that the eye emitted a ray. Al-Haytham proposed in his Book of Optics that vision occurs by way of light rays forming a cone with its vertex at the center of the eye. He suggested that light was reflected from different surfaces in different directions, thus causing objects to look different. He argued further that the mathematics of reflection and refraction needed to be consistent with the anatomy of the eye. He was also an early proponent of the scientific method, the concept that a hypothesis must be proved by experiments based on confirmable procedures or mathematical evidence, five centuries before Renaissance scientists.

Pharmacology

Ibn Sina teaching the use of drugs. 15th-century Great Canon of Avicenna
 

Advances in botany and chemistry in the Islamic world encouraged developments in pharmacology. Muhammad ibn Zakarīya Rāzi (Rhazes) (865–915) promoted the medical uses of chemical compounds. Abu al-Qasim al-Zahrawi (Abulcasis) (936–1013) pioneered the preparation of medicines by sublimation and distillation. His Liber servitoris provides instructions for preparing "simples" from which were compounded the complex drugs then used. Sabur Ibn Sahl (died 869) was the first physician to describe a large variety of drugs and remedies for ailments. Al-Muwaffaq, in the 10th century, wrote The foundations of the true properties of Remedies, describing chemicals such as arsenious oxide and silicic acid. He distinguished between sodium carbonate and potassium carbonate, and drew attention to the poisonous nature of copper compounds, especially copper vitriol, and also of lead compounds. Al-Biruni (973–1050) wrote the Kitab al-Saydalah (The Book of Drugs), describing in detail the properties of drugs, the role of pharmacy and the duties of the pharmacist. Ibn Sina (Avicenna) described 700 preparations, their properties, their mode of action and their indications. He devoted a whole volume to simples in The Canon of Medicine. Works by Masawaih al-Mardini (c. 925–1015) and by Ibn al-Wafid (1008–1074) were printed in Latin more than fifty times, appearing as De Medicinis universalibus et particularibus by Mesue the Younger (died 1015) and as the Medicamentis simplicibus by Abenguefit (c. 997 – 1074) respectively. Peter of Abano (1250–1316) translated and added a supplement to the work of al-Mardini under the title De Veneris. Ibn al-Baytar (1197–1248), in his Al-Jami fi al-Tibb, described a thousand simples and drugs based directly on Mediterranean plants collected along the entire coast between Syria and Spain, for the first time exceeding the coverage provided by Dioscorides in classical times. Islamic physicians such as Ibn Sina described clinical trials for determining the efficacy of medical drugs and substances.

Physics

Self trimming lamp in Ahmad ibn Mūsā ibn Shākir's treatise on mechanical devices, c. 850
 

The fields of physics studied in this period, apart from optics and astronomy which are described separately, are aspects of mechanics: statics, dynamics, kinematics and motion. In the sixth century John Philoponus (c. 490 – c. 570) rejected the Aristotelian view of motion. He argued instead that an object acquires an inclination to move when it has a motive power impressed on it. In the eleventh century Ibn Sina adopted roughly the same idea, namely that a moving object has force which is dissipated by external agents like air resistance. Ibn Sina distinguished between "force" and "inclination" (mayl); he claimed that an object gained mayl when the object is in opposition to its natural motion. He concluded that continuation of motion depends on the inclination that is transferred to the object, and that the object remains in motion until the mayl is spent. He also claimed that a projectile in a vacuum would not stop unless it is acted upon. That view accords with Newton's first law of motion, on inertia. As a non-Aristotelian suggestion, it was essentially abandoned until it was described as "impetus" by Jean Buridan (c. 1295–1363), who was influenced by Ibn Sina's Book of Healing.

In the Shadows, Abū Rayḥān al-Bīrūnī (973–1048) describes non-uniform motion as the result of acceleration. Ibn-Sina's theory of mayl tried to relate the velocity and weight of a moving object, a precursor of the concept of momentum. Aristotle's theory of motion stated that a constant force produces a uniform motion; Abu'l-Barakāt al-Baghdādī (c. 1080 – 1164/5) disagreed, arguing that velocity and acceleration are two different things, and that force is proportional to acceleration, not to velocity.

Ibn Bajjah (Avempace, c. 1085–1138) proposed that for every force there is a reaction force. While he did not specify that these forces be equal, this was still an early version of Newton's third law of motion.

The Banu Musa brothers, Jafar-Muhammad, Ahmad and al-Hasan (c. early 9th century) invented automated devices described in their Book of Ingenious Devices. Advances on the subject were also made by al-Jazari and Ibn Ma'ruf.

Zoology

Page from the Kitāb al-Hayawān (Book of Animals) by Al-Jahiz. Ninth century
 

Many classical works, including those of Aristotle, were transmitted from Greek to Syriac, then to Arabic, then to Latin in the Middle Ages. Aristotle's zoology remained dominant in its field for two thousand years. The Kitāb al-Hayawān (كتاب الحيوان, English: Book of Animals) is a 9th-century Arabic translation of History of Animals: 1–10, On the Parts of Animals: 11–14, and Generation of Animals: 15–19.

The book was mentioned by Al-Kindī (died 850), and commented on by Avicenna (Ibn Sīnā) in his The Book of Healing. Avempace (Ibn Bājja) and Averroes (Ibn Rushd) commented on and criticised On the Parts of Animals and Generation of Animals.

Significance

Muslim scientists helped in laying the foundations for an experimental science with their contributions to the scientific method and their empirical, experimental and quantitative approach to scientific inquiry. In a more general sense, the positive achievement of Islamic science was simply to flourish, for centuries, in a wide range of institutions from observatories to libraries, madrasas to hospitals and courts, both at the height of the Islamic golden age and for some centuries afterwards. It did not lead to a scientific revolution like that in Early modern Europe, but such external comparisons are probably to be rejected as imposing "chronologically and culturally alien standards" on a successful medieval culture.

 

Classical element

From Wikipedia, the free encyclopedia
Rococo set of personification figurines of the Four Elements, 1760s, Chelsea porcelain
 
Allegories of the Classical elements, by Giuseppe Arcimboldo. From top-left, clockwise: air, fire, water, and earth.

Classical elements typically refer to water, earth, fire, air, and (later) aether, which were proposed to explain the nature and complexity of all matter in terms of simpler substances. Ancient cultures in Greece, Tibet, and India had similar lists, sometimes referring in local languages to "air" as "wind" and the fifth element as "void". The Chinese Wu Xing system lists Wood ( ), Fire ( huǒ), Earth ( ), Metal ( jīn), and Water ( shuǐ), though these are described more as energies or transitions rather than as types of material.

These different cultures and even individual philosophers had widely varying explanations concerning their attributes and how they related to observable phenomena as well as cosmology. Sometimes these theories overlapped with mythology and were personified in deities. Some of these interpretations included atomism (the idea of very small, indivisible portions of matter), but other interpretations considered the elements to be divisible into infinitely small pieces without changing their nature.

While the classification of the material world in ancient Indian, Hellenistic Egypt, and ancient Greece into Air, Earth, Fire and Water was more philosophical, during the Islamic Golden Age medieval middle eastern scientists used practical, experimental observation to classify materials. In Europe, the Ancient Greek concept, devised by Empedocles, evolved into the system of Aristotle, which evolved slightly into the medieval system, which for the first time in Europe became subject to experimental verification in the 1600s, during the Scientific Revolution.

Modern science does not support the classical elements as the material basis of the physical world. Atomic theory classifies atoms into more than a hundred chemical elements such as oxygen, iron, and mercury. These elements form chemical compounds and mixtures, and under different temperatures and pressures, these substances can adopt different states of matter. The most commonly observed states of solid, liquid, gas, and plasma share many attributes with the classical elements of earth, water, air, and fire, respectively, but these states are due to similar behavior of different types of atoms at similar energy levels, and not due to containing a certain type of atom or a certain type of substance.

Ancient history

Greece

Aristotelian elements and qualities
Four classical elements

Empedoclean elements

Alchemy fire symbol.svg    fire  · Alchemy air symbol.svg air    
Alchemy water symbol.svg water  · Alchemy earth symbol.svg earth

The ancient Greek concept of four basic elements, these being earth (γῆ ), water (ὕδωρ hýdōr), air (ἀήρ aḗr), and fire (πῦρ pŷr), dates from pre-Socratic times and persisted throughout the Middle Ages and into the Renaissance, deeply influencing European thought and culture.

The four classical elements of Empedocles and Aristotle illustrated with a burning log. The log releases all four elements as it is destroyed.

The Sicilian philosopher Empedocles (ca. 450 BC) proved (at least to his satisfaction) that air was a separate substance by observing that a bucket inverted in water did not become filled with water, a pocket of air remaining trapped inside. Prior to Empedocles, Greek philosophers had debated which substance was the arche ("first principle"), or primordial element from which everything else was made; Heraclitus championed fire, Thales supported water, and Anaximenes plumped for air. Anaximander argued that the primordial substance was not any of the known substances, but could be transformed into them, and they into each other. Empedocles was the first to propose four elements, fire, earth, air, and water. He called them the four “roots” (ῥιζώματα, rhizōmata).

Plato seems to have been the first to use the term “element (στοιχεῖον, stoicheîon)” in reference to air, fire, earth, and water. The ancient Greek word for element, stoicheion (from stoicheo, “to line up”) meant “smallest division (of a sun-dial), a syllable”, as the composing unit of an alphabet it could denote a letter and the smallest unit from which a word is formed.

In On the Heavens, Aristotle defines "element" in general:

An element, we take it, is a body into which other bodies may be analysed, present in them potentially or in actuality (which of these, is still disputable), and not itself divisible into bodies different in form. That, or something like it, is what all men in every case mean by element.

In his On Generation and Corruption, Aristotle related each of the four elements to two of the four sensible qualities:

  • Fire is both hot and dry.
  • Air is both hot and wet (for air is like vapor, ἀτμὶς).
  • Water is both cold and wet.
  • Earth is both cold and dry.

A classic diagram has one square inscribed in the other, with the corners of one being the classical elements, and the corners of the other being the properties. The opposite corner is the opposite of these properties, "hot – cold" and "dry – wet".

Aristotle added a fifth element, aether (αἰθήρ aither), as the quintessence, reasoning that whereas fire, earth, air, and water were earthly and corruptible, since no changes had been perceived in the heavenly regions, the stars cannot be made out of any of the four elements but must be made of a different, unchangeable, heavenly substance. It had previously been believed by pre-Socratics such as Empedocles and Anaxagoras that aether, the name applied to the material of heavenly bodies, was a form of fire. Aristotle himself did not use the term aether for the fifth element, and strongly criticised the pre-Socratics for associating the term with fire. He preferred a number of other terms that indicated eternal movement, thus emphasising the evidence for his discovery of a new element. These five elements have been associated since Plato's Timaeus with the five platonic solids.

A text written in Egypt in Hellenistic or Roman times called the Kore Kosmou (“Virgin of the World”) ascribed to Hermes Trismegistus (associated with the Egyptian god Thoth), names the four elements fire, water, air, and earth. As described in this book:

And Isis answer made: Of living things, my son, some are made friends with fire, and some with water, some with air, and some with earth, and some with two or three of these, and some with all. And, on the contrary, again some are made enemies of fire, and some of water, some of earth, and some of air, and some of two of them, and some of three, and some of all. For instance, son, the locust and all flies flee fire; the eagle and the hawk and all high-flying birds flee water; fish, air and earth; the snake avoids the open air. Whereas snakes and all creeping things love earth; all swimming things love water; winged things, air, of which they are the citizens; while those that fly still higher love the fire and have the habitat near it. Not that some of the animals as well do not love fire; for instance salamanders, for they even have their homes in it. It is because one or another of the elements doth form their bodies’ outer envelope. Each soul, accordingly, while it is in its body is weighted and constricted by these four.

According to Galen, these elements were used by Hippocrates in describing the human body with an association with the four humours: yellow bile (fire), black bile (earth), blood (air), and phlegm (water). Medical care was primarily about helping the patient stay in or return to his/her own personal natural balanced state.

The Neoplatonic philosopher Proclus rejected Aristotle's theory relating the elements to the sensible qualities hot, cold, wet, and dry. He maintained that each of the elements has three properties. Fire is sharp, subtle, and mobile while its opposite, earth, is blunt, dense, and immobile; they are joined by the intermediate elements, air and water, in the following fashion:

Fire Sharp Subtle Mobile
Air Blunt Subtle Mobile
Water Blunt Dense Mobile
Earth Blunt Dense Immobile

China

The Chinese had a somewhat different series of elements, namely Wood, Fire, Earth, Metal (literally gold) and Water, which were understood as different types of energy in a state of constant interaction and flux with one another, rather than the Western notion of different kinds of material. Historians of science have noted a fundamental difference between Greek element theories and Chinese matter theories.

Diagram of the interactions between the wuxing. The "generative" cycle is illustrated by grey arrows running clockwise on the outside of the circle, while the "overcoming" or "destructive" cycle is represented by red arrows inside the circle.

Although it is usually translated as “element”, the Chinese word xing literally means something like "changing states of being", "permutations" or "metamorphoses of being". In fact Sinologists cannot agree on any single translation. The Chinese elements were seen as ever changing and moving – one translation of wu xing is simply "the five changes".

The Wu Xing are chiefly an ancient mnemonic device for systems with five stages; hence the preferred translation of "movements", "phases" or "steps" over "elements".

In the bagua, metal is associated with the divination figure 兌 Duì (☱, the lake or marsh: 澤/泽 ) and with 乾 Qián (☰, the sky or heavens: 天 tiān). Wood is associated with 巽 Xùn (☴, the wind: 風/风 fēng) and with 震 Zhèn (☳, the arousing/thunder: 雷 léi). In view of the durability of meteoric iron, metal came to be associated with the aether, which is sometimes conflated with Stoic pneuma, as both terms originally referred to air (the former being higher, brighter, more fiery or celestial and the latter being merely warmer, and thus vital or biogenetic). In Taoism, qi functions similarly to pneuma in a prime matter (a basic principle of energetic transformation) that accounts for both biological and inanimate phenomena.

In Chinese philosophy the universe consists of heaven and earth. The five major planets are associated with and even named after the elements: Jupiter 木星 is Wood (), Mars 火星 is Fire (), Saturn 土星 is Earth (), Venus 金星 is Metal (), and Mercury 水星 is Water (). Also, the Moon represents Yin (), and the Sun 太陽 represents Yang (). Yin, Yang, and the five elements are associated with themes in the I Ching, the oldest of Chinese classical texts which describes an ancient system of cosmology and philosophy. The five elements also play an important part in Chinese astrology and the Chinese form of geomancy known as Feng shui.

The doctrine of five phases describes two cycles of balance, a generating or creation (生, shēng) cycle and an overcoming or destruction (克/剋, kè) cycle of interactions between the phases.

Generating

Overcoming

  • Wood parts earth;
  • Earth absorbs water;
  • Water quenches fire;
  • Fire melts metal;
  • Metal chops wood.

There are also two cycles of imbalance, an overacting cycle (乘,cheng) and an insulting cycle (侮,wu).

India

Hinduism

The system of five elements are found in Vedas, especially Ayurveda, the pancha mahabhuta, or “five great elements”, of Hinduism are:

  1. bhūmi or pṛthvī (earth),
  2. āpas or jala (water),
  3. agní or tejas (fire),
  4. vāyu, vyāna, or vāta (air or wind)
  5. ākāśa, vyom, or śūnya (space or zero) or (aether or void).

They further suggest that all of creation, including the human body, is made up of these five essential elements and that upon death, the human body dissolves into these five elements of nature, thereby balancing the cycle of nature.

The five elements are associated with the five senses, and act as the gross medium for the experience of sensations. The basest element, earth, created using all the other elements, can be perceived by all five senses — (i) hearing, (ii) touch, (iii) sight, (iv) taste, and (v) smell. The next higher element, water, has no odor but can be heard, felt, seen and tasted. Next comes fire, which can be heard, felt and seen. Air can be heard and felt. "Akasha" (aether) is beyond the senses of smell, taste, sight, and touch; it being accessible to the sense of hearing alone.

Buddhism

In the Pali literature, the mahabhuta ("great elements") or catudhatu ("four elements") are earth, water, fire and air. In early Buddhism, the four elements are a basis for understanding suffering and for liberating oneself from suffering. The earliest Buddhist texts explain that the four primary material elements are solidity, fluidity, temperature, and mobility, characterized as earth, water, fire, and air, respectively.

The Buddha's teaching regarding the four elements is to be understood as the base of all observation of real sensations rather than as a philosophy. The four properties are cohesion (water), solidity or inertia (earth), expansion or vibration (air) and heat or energy content (fire). He promulgated a categorization of mind and matter as composed of eight types of "kalapas" of which the four elements are primary and a secondary group of four are color, smell, taste, and nutriment which are derivative from the four primaries.

Thanissaro Bhikkhu (1997) renders an extract of Shakyamuni Buddha’s from Pali into English thus:

Just as a skilled butcher or his apprentice, having killed a cow, would sit at a crossroads cutting it up into pieces, the monk contemplates this very body — however it stands, however it is disposed — in terms of properties: ‘In this body there is the earth property, the liquid property, the fire property, & the wind property.’

Tibetan Buddhist medical literature speaks of the Panch Mahābhūta (five elements).

Tibet

In Bön or ancient Tibetan philosophy, the five elemental processes of earth, water, fire, air and space are the essential materials of all existent phenomena or aggregates. The elemental processes form the basis of the calendar, astrology, medicine, psychology and are the foundation of the spiritual traditions of shamanism, tantra and Dzogchen.

Tenzin Wangyal Rinpoche states that

physical properties are assigned to the elements: earth is solidity; water is cohesion; fire is temperature; air is motion; and space is the spatial dimension that accommodates the other four active elements. In addition, the elements are correlated to different emotions, temperaments, directions, colors, tastes, body types, illnesses, thinking styles, and character. From the five elements arise the five senses and the five fields of sensory experience; the five negative emotions and the five wisdoms; and the five extensions of the body. They are the five primary pranas or vital energies. They are the constituents of every physical, sensual, mental, and spiritual phenomenon.

The names of the elements are analogous to categorised experiential sensations of the natural world. The names are symbolic and key to their inherent qualities and/or modes of action by analogy. In Bön the elemental processes are fundamental metaphors for working with external, internal and secret energetic forces. All five elemental processes in their essential purity are inherent in the mindstream and link the trikaya and are aspects of primordial energy. As Herbert V. Günther states:

Thus, bearing in mind that thought struggles incessantly against the treachery of language and that what we observe and describe is the observer himself, we may nonetheless proceed to investigate the successive phases in our becoming human beings. Throughout these phases, the experience (das Erlebnis) of ourselves as an intensity (imaged and felt as a "god", lha) setting up its own spatiality (imaged and felt as a “house” khang) is present in various intensities of illumination that occur within ourselves as a “temple.” A corollary of this Erlebnis is its light character manifesting itself in various “frequencies” or colors. This is to say, since we are beings of light we display this light in a multiplicity of nuances.

In the above block quote the trikaya is encoded as: dharmakaya "god"; sambhogakaya "temple" and nirmanakaya "house".

Post-classical history

Alchemy

Seventeenth century alchemical emblem showing the four Classical elements in the corners of the image, alongside the tria prima on the central triangle

The elemental system used in medieval alchemy was developed primarily by the anonymous authors of the Arabic works attributed to Jābir ibn Hayyān (died c. 806–816). This system consisted of the four classical elements of air, earth, fire, and water, in addition to a new theory called the sulphur-mercury theory of metals, which was based on two elements: sulphur, characterizing the principle of combustibility, "the stone which burns"; and mercury, characterizing the principle of metallic properties. They were seen by early alchemists as idealized expressions of irreducible components of the universe and are of larger consideration within philosophical alchemy.

The three metallic principles—sulphur to flammability or combustion, mercury to volatility and stability, and salt to solidity—became the tria prima of the Swiss alchemist Paracelsus. He reasoned that Aristotle's four element theory appeared in bodies as three principles. Paracelsus saw these principles as fundamental and justified them by recourse to the description of how wood burns in fire. Mercury included the cohesive principle, so that when it left in smoke the wood fell apart. Smoke described the volatility (the mercurial principle), the heat-giving flames described flammability (sulphur), and the remnant ash described solidity (salt).

Medieval Aristotelian philosophy

The Islamic philosophers al-Kindi, Avicenna and Fakhr al-Din al-Razi followed Aristotle in connecting the four elements with the four natures heat and cold (the active force), and dryness and moisture (the recipients).

Japan

Japanese traditions use a set of elements called the 五大 (godai, literally "five great"). These five are earth, water, fire, wind/air, and void. These came from Indian Vastu shastra philosophy and Buddhist beliefs; in addition, the classical Chinese elements (五行, wu xing) are also prominent in Japanese culture, especially to the influential Neo-Confucianists during the medieval Edo period.

  • Earth represented things that were solid.
  • Water represented things that were liquid.
  • Fire represented things that destroy.
  • Wind represented things that moved.
  • Void or Sky/Heaven represented things not of our everyday life.

Modern history

Artus Wolffort, The Four Elements, before 1641

Chemical element

The Aristotelian tradition and medieval alchemy eventually gave rise to modern chemistry, scientific theories and new taxonomies. By the time of Antoine Lavoisier, for example, a list of elements would no longer refer to classical elements. Some modern scientists see a parallel between the classical elements and the four states of matter: solid, liquid, gas and weakly ionized plasma.

Modern science recognizes classes of elementary particles which have no substructure (or rather, particles that are not made of other particles) and composite particles having substructure (particles made of other particles).

Western astrology

Western astrology uses the four classical elements in connection with astrological charts and horoscopes. The twelve signs of the zodiac are divided into the four elements: Fire signs are Aries, Leo and Sagittarius, Earth signs are Taurus, Virgo and Capricorn, Air signs are Gemini, Libra and Aquarius, and Water signs are Cancer, Scorpio, and Pisces.

Criticism

The Dutch historian of science Eduard Jan Dijksterhuis writes that the theory of the classical elements "was bound to exercise a really harmful influence. As is now clear, Aristotle, by adopting this theory as the basis of his interpretation of nature and by never losing faith in it, took a course which promised few opportunities and many dangers for science." Bertrand Russell says that Aristotle's thinking became imbued with almost biblical authority in later centuries. So much so that "Ever since the beginning of the seventeenth century, almost every serious intellectual advance has had to begin with an attack on some Aristotelian doctrine".

Cooperative

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