{"id":137,"date":"2020-04-08T09:20:43","date_gmt":"2020-04-08T14:20:43","guid":{"rendered":"http:\/\/bohemiantangents.com\/?p=137"},"modified":"2020-04-08T09:48:03","modified_gmt":"2020-04-08T14:48:03","slug":"while-europe-was-napping-muslims-do-math-and-science-part-i","status":"publish","type":"post","link":"https:\/\/bohemiantangents.com\/?p=137","title":{"rendered":"While Europe Was Napping: Muslims Do Math and Science, Part I"},"content":{"rendered":"<p><a href=\"https:\/\/i0.wp.com\/bohemiantangents.com\/wp-content\/uploads\/2015\/06\/9230687239_115c9758a0_z.jpg\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" data-attachment-id=\"141\" data-permalink=\"https:\/\/bohemiantangents.com\/?attachment_id=141\" data-orig-file=\"https:\/\/i0.wp.com\/bohemiantangents.com\/wp-content\/uploads\/2015\/06\/9230687239_115c9758a0_z.jpg?fit=640%2C427&amp;ssl=1\" data-orig-size=\"640,427\" data-comments-opened=\"1\" data-image-title=\"9230687239_115c9758a0_z\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/bohemiantangents.com\/wp-content\/uploads\/2015\/06\/9230687239_115c9758a0_z.jpg?fit=640%2C427&amp;ssl=1\" class=\"alignnone size-medium wp-image-141\" src=\"https:\/\/i0.wp.com\/bohemiantangents.com\/wp-content\/uploads\/2015\/06\/9230687239_115c9758a0_z-300x200.jpg?resize=300%2C200\" alt=\"9230687239_115c9758a0_z\" width=\"300\" height=\"200\" srcset=\"https:\/\/i0.wp.com\/bohemiantangents.com\/wp-content\/uploads\/2015\/06\/9230687239_115c9758a0_z.jpg?resize=300%2C200&amp;ssl=1 300w, https:\/\/i0.wp.com\/bohemiantangents.com\/wp-content\/uploads\/2015\/06\/9230687239_115c9758a0_z.jpg?w=640&amp;ssl=1 640w\" sizes=\"auto, (max-width: 300px) 85vw, 300px\" \/><\/a><\/p>\n<p>When the Roman Empire collapsed in 476 C.E., \u00a0Germanic tribes took over the Western portion of Roman Empire. (The eastern portion, headquartered in Constantinople persisted until 1453). Despite being &#8220;barbarians&#8221; the Germanic peoples absorbed at least some respect for Roman civilization and a desire to maintain it. However, despite their best intentions, they still had a poor understanding of the Roman heritage they had taken over. Their\u00a0loosely knit states had local nobles ruling their lands and sometimes following their kings in war. The few trained Roman bureaucrats that were left became scarcer with each generation. Bit by bit, orderly Roman rule gave way to a more casual kind of order, veering more and more toward anarchy. Taxes went uncollected; roads, bridges, and aqueducts went unrepaired; and public order broke down, sending towns and trade into decline.<\/p>\n<p>Unlike the Romans, the &#8220;barbarians&#8221; had no concept of an abstract state to inspire their loyalty. Instead they based their political order on their loyalty to a local chieftain or king. Since the kingdom was the personal property of the king, it was divided amongst his heirs upon his death. Western Europe disintegrated into anarchy as local nobles rebelled against their kings and fought each other in their own private wars. This in turn would encourage raids and invasions by such peoples as Vikings from the north, Arabs from the south, and nomadic Magyars from the east. Such raids and invasions would only encourage more turmoil, which would bring in more invasions and so on. To aggravate matters even further, this cycle of anarchy and invasions would also feed back into the original cycle involving land as a source of wealth. And so it would go, as these mutually reinforcing cycles of decline, anarchy, and invasions would continue to feed into one another, dragging Western Europe down into further chaos. Not until money came back into circulation could the nobles&#8217; stranglehold be broken. This was because money did not regenerate itself, thus keeping nobles and officials constantly dependent on the king.<\/p>\n<p>While European civilization descended into backward rural feudalism, the territory governed by Muslims entered what many historians call &#8220;The Islamic\u00a0Golden Age&#8221; which lasted from roughly 800 A.D. through 1200 A.D. It was there that the savant Al-Khw\u0101rizm\u012b (from whose name we get the word \u201calgorithm\u201d) essentially invented applied mathematics. It was there that astronomer <a href=\"http:\/\/en.wikipedia.org\/wiki\/Ab%C5%AB_Ray%E1%B8%A5%C4%81n_al-B%C4%ABr%C5%ABn%C4%AB\">al-Biruni<\/a> began to invent modern experimental physics and anticipated the work of Copernicus and Kepler. It was there that I<a href=\"http:\/\/en.wikipedia.org\/wiki\/Avicenna\">bn Sina<\/a> (Avicenna) wrote the most important books of medicine up to that time, and kept alive the tradition of ancient Greek philosophy &#8212; which would later have a huge influence on Europe. The region was a hotbed of technological innovation and intellectual boundary-breaking.<\/p>\n<p>Then it all went wrong. After about the year 1200, the region declined, and Islamic science and medicine and philosophy declined with it. Why did this happen? The conquests of the Mongol Empire, which destroyed many of the region\u2019s huge, well-irrigated cities, were part of it. The decline had begun centuries before the Mongols showed up, which was an increasingly anti-science attitude on the part of the Muslim rulers of the region.<\/p>\n<p>One of the most prominent anti-science leaders was Nizam al-Mulk, the unofficial leader of the Turkish Seljuq Empire. In the late 1000s A.D., he established a number of religious institutes, part of whose purpose to combat the rationalism that had emerged in Central Asia. Perhaps the most important figure in this anti-rationalist movement was <a href=\"http:\/\/en.wikipedia.org\/wiki\/Al-Ghazali\">al-Ghazali<\/a>, an accomplished philosopher who had written a book attacking his contemporaries. Al-Ghazali used the tools of logic and reason themselves to <a href=\"http:\/\/en.wikipedia.org\/wiki\/The_Incoherence_of_the_Philosophers\">argue<\/a> that only faith, not rationalism and science, can offer insight into the truths of the world. \u00a0Al-Ghazali led the charge for Islamic world&#8217;s transition from center of global science to fundamentalist backwater.<\/p>\n<p>Considering how unsuited Roman numerals are for mathematical calculation, it is puzzling how long the decimal place-value system took to be widely used In Europe. Mathematics in Europe entered a Dark Age. Consider something as basic as zero. From the time it was invented as a mere placeholder, the way to tell 1 from 10 and 100, between 500 and 400 B.C. in Babylon. In India they developed a positional number system (according to the Bakhshali manuscript) \u00a0as early as the 1st century CE. as part of a\u00a0place value system with zero denoted by a dot, which is called <i>shunya-sthAna<\/i>, &#8220;empty-place&#8221;, and the same symbol is also used in algebraic expressions for the unknown (as in the canonical <i>x<\/i> in modern algebra).\u00a0The oldest known text to use zero is the Jain text from <a title=\"India\" href=\"http:\/\/en.wikipedia.org\/wiki\/India\">India<\/a> entitled the <em>Lokavibhaga,\u00a0<\/em>dated 458 AD. \u00a0For mathematics to advance in Europe, centuries had to pass for the zero innovation to pass from Babylon, then India, followed by\u00a0Al-Khw\u0101rizm\u012b, entering Spain around 900 C.E., and appearing in the Codex Vigilanus in 976 C.E.<\/p>\n<ul>\n<li><b>976<\/b>. The first Arabic numerals in Europe appeared in the <i><a title=\"Codex Vigilanus\" href=\"http:\/\/en.wikipedia.org\/wiki\/Codex_Vigilanus\">Codex Vigilanus<\/a><\/i> in the year 976.<\/li>\n<li><b>1202<\/b>. <a class=\"mw-redirect\" title=\"Leonardo of Pisa\" href=\"http:\/\/en.wikipedia.org\/wiki\/Leonardo_of_Pisa\">Fibonacci<\/a>, an <a title=\"Italy\" href=\"http:\/\/en.wikipedia.org\/wiki\/Italy\">Italian<\/a> mathematician who had studied in <a title=\"B\u00e9ja\u00efa\" href=\"http:\/\/en.wikipedia.org\/wiki\/B%C3%A9ja%C3%AFa\">B\u00e9ja\u00efa<\/a> (Bougie), Algeria, promoted the Arabic numeral system in <a title=\"Europe\" href=\"http:\/\/en.wikipedia.org\/wiki\/Europe\">Europe<\/a>with his book <i><a title=\"Liber Abaci\" href=\"http:\/\/en.wikipedia.org\/wiki\/Liber_Abaci\">Liber Abaci<\/a><\/i>, which was published in 1202.<\/li>\n<li><b>1482<\/b>. The system did not come into wide use in Europe, however, until the invention of <a title=\"Printing\" href=\"http:\/\/en.wikipedia.org\/wiki\/Printing\">printing<\/a>. (See, for example, the <a class=\"external text\" href=\"http:\/\/bell.lib.umn.edu\/map\/PTO\/TOUR\/1482u.html\" rel=\"nofollow\">1482 Ptolemaeus map of the world<\/a> printed by <a class=\"new\" title=\"Lienhart Holle (page does not exist)\" href=\"http:\/\/en.wikipedia.org\/w\/index.php?title=Lienhart_Holle&amp;action=edit&amp;redlink=1\">Lienhart Holle<\/a> in Ulm, and other examples in the <a title=\"Gutenberg Museum\" href=\"http:\/\/en.wikipedia.org\/wiki\/Gutenberg_Museum\">Gutenberg Museum<\/a> in <a title=\"Mainz\" href=\"http:\/\/en.wikipedia.org\/wiki\/Mainz\">Mainz<\/a>, <a title=\"Germany\" href=\"http:\/\/en.wikipedia.org\/wiki\/Germany\">Germany<\/a>.)<\/li>\n<li><b>1549<\/b>. These are correct format and sequence of the \u201c<i>modern numbers<\/i>\u201d in titlepage of the Libro Intitulado Arithmetica Practica by Juan de Yciar, the Basque calligrapher and mathematician, <a title=\"Zaragoza\" href=\"http:\/\/en.wikipedia.org\/wiki\/Zaragoza\">Zaragoza<\/a> 1549.<\/li>\n<\/ul>\n<p>Al-Khw\u0101rizm\u012b, \u00a0in full <span class=\"alternate\">Mu\u1e25ammad ibn M\u016bs\u0101 al-Khw\u0101rizm\u012b<\/span>\u00a0 (born, c. 780,\u00a0Baghdad, Iraq\u2014died c. 850),\u00a0Muslim mathematician and astronomer whose major works introduced Hindu-Arabic numerals and the concepts of <a id=\"ref702280\" name=\"ref702280\"><\/a><a href=\"http:\/\/www.britannica.com\/EBchecked\/topic\/14885\/algebra\" data-ytrk=\"\/548\">algebra<\/a> into European mathematics. Latinized versions of his name and of his most famous book title live on in the terms <em>algorithm<\/em> and <em>algebra<\/em>.<\/p>\n<div id=\"content\" class=\"md-content\">\n<div class=\"md-content-wrapper topic-content\">\n<article class=\"content-body font-sans-ui has-media\">\n<section id=\"toc317171main\" class=\"eb-topic-section\" data-level=\"intro\">Al-Khw\u0101rizm\u012b lived in Baghdad, where he worked at the \u201cHouse of Wisdom\u201d (<em>D\u0101r al-\u1e24ikma<\/em>) under the <a href=\"http:\/\/www.britannica.com\/EBchecked\/topic\/89739\/Caliphate\" data-ytrk=\"\/548\">caliphate<\/a> of al-Ma\u02bem\u016bn. (The House of Wisdom acquired and translated scientific and philosophic treatises, particularly Greek, as well as publishing original research.) Al-Kw\u0101rizm\u012b\u2019s work on elementary algebra, <em><a href=\"http:\/\/www.britannica.com\/EBchecked\/topic\/73467\/Book-of-Restoring-and-Balancing\" data-ytrk=\"\/548\">al-Kit\u0101b al-mukhta\u1e63ar f\u012b \u1e25is\u0101b al-jabr wa\u02bel-muq\u0101bala<\/a><\/em> (\u201cThe Compendious Book on Calculation by Completion and Balancing\u201d), was translated into Latin in the 12th century, from which the title and term <em>Algebra<\/em> derives. <em>Algebra<\/em> is a compilation of rules, together with demonstrations, for finding solutions of linear and quadratic equations based on intuitive geometric arguments, rather than the abstract notation now associated with the subject. Its systematic, demonstrative approach distinguishes it from earlier treatments of the subject. It also contains sections on calculating areas and volumes of geometric figures and on the use of algebra to solve inheritance problems according to proportions prescribed by Islamic law. Elements within the work can be traced from Babylonian mathematics of the early 2nd millennium <span class=\"bps-small-text\">bc<\/span> through Hellenistic, Hebrew, and Hindu treatises.n the 12th century a second work by al-Khw\u0101rizm\u012b introduced Hindu-Arabic numerals (see <a href=\"http:\/\/www.britannica.com\/EBchecked\/topic\/682032\/numerals-and-numeral-systems\" data-ytrk=\"\/548\">numerals and numeral systems<\/a>) and their arithmetic to the West. It is preserved only in a Latin translation, <em>Algoritmi de numero Indorum<\/em> (\u201cAl-Khw\u0101rizm\u012b Concerning the Hindu Art of Reckoning\u201d). From the name of the author, rendered in Latin as <em>algoritmi<\/em>, originated the term <em><a href=\"http:\/\/www.britannica.com\/EBchecked\/topic\/15174\/algorithm\" data-ytrk=\"\/548\">algorithm<\/a><\/em>.<\/section>\n<section data-level=\"intro\"><\/section>\n<section class=\"eb-topic-section\" data-level=\"intro\"><\/section>\n<section class=\"eb-topic-section\" data-level=\"intro\"><\/section>\n<section class=\"eb-topic-section\" data-level=\"intro\">A third major book was his <em>Kit\u0101b \u1e63\u016brat al-ar\u1e0d<\/em> (\u201cThe Image of the Earth\u201d; translated as <em>Geography<\/em>), which presented the coordinates of localities in the known world based, ultimately, on those in the <em>Geography<\/em> of <a href=\"http:\/\/www.britannica.com\/EBchecked\/topic\/482098\/Ptolemy\" data-ytrk=\"\/548\">Ptolemy<\/a> (fl. <span class=\"bps-small-text\">ad<\/span> 127\u2013145) but with improved values for the length of the Mediterranean Sea and the location of cities in Asia and Africa. He also assisted in the construction of a world map for al-Ma\u02bem\u016bn and participated in a project to determine the circumference of the Earth, which had long been known to be spherical, by measuring the length of a degree of a meridian through the plain of Sinj\u0101r in Iraq.Finally, al-Khw\u0101rizm\u012b also compiled a set of astronomical tables (<em>Z\u012bj<\/em>), based on a variety of Hindu and Greek sources. This work included a table of sines, evidently for a circle of radius 150 units. Like his treatises on algebra and Hindu-Arabic numerals, this astronomical work (or an Andalusian revision thereof) was translated into Latin.<\/section>\n<section data-level=\"intro\"><\/section>\n<section data-level=\"intro\"><\/section>\n<section class=\"eb-topic-section\" data-level=\"intro\"><\/section>\n<section class=\"eb-topic-section\" data-level=\"intro\"><\/section>\n<\/article>\n<\/div>\n<section class=\"eb-topic-section\" data-level=\"intro\"><strong>SOURCES:<\/strong> \u00a0<em>Lost Enlightenment: Central Asia&#8217;s Golden Age from the Arab Conquest to Tamerlane\u00a0<\/em>by S. Frederick Starr<\/section>\n<section class=\"eb-topic-section\" data-level=\"intro\"><\/section>\n<\/div>\n<section class=\"eb-topic-section\" data-level=\"intro\"><\/section>\n<section class=\"eb-topic-section\" data-level=\"intro\">http:\/\/www.britannica.com\/EBchecked\/topic\/317171\/al-Khwarizmi<\/section>\n<section class=\"eb-topic-section\" data-level=\"intro\"><\/section>\n<section class=\"eb-topic-section\" data-level=\"intro\"><\/section>\n<section class=\"eb-topic-section\" data-level=\"intro\">http:\/\/en.wikipedia.org\/wiki\/History_of_the_Hindu%E2%80%93Arabic_numeral_system<\/section>\n<section class=\"eb-topic-section\" data-level=\"intro\"><\/section>\n<section class=\"eb-topic-section\" data-level=\"intro\"><\/section>\n<section class=\"eb-topic-section\" data-level=\"intro\">http:\/\/www.scientificamerican.com\/article\/history-of-zero\/<\/section>\n<section class=\"eb-topic-section\" data-level=\"intro\"><\/section>\n<section class=\"eb-topic-section\" data-level=\"intro\"><\/section>\n<section class=\"eb-topic-section\" data-level=\"intro\">http:\/\/www.flowofhistory.com\/units\/birth\/5\/FC41-2<\/section>\n<section class=\"eb-topic-section\" data-level=\"intro\"><\/section>\n","protected":false},"excerpt":{"rendered":"<p>When the Roman Empire collapsed in 476 C.E., \u00a0Germanic tribes took over the Western portion [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[4],"tags":[],"class_list":["post-137","post","type-post","status-publish","format-standard","hentry","category-history"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p6bHu9-2d","jetpack-related-posts":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/bohemiantangents.com\/index.php?rest_route=\/wp\/v2\/posts\/137","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bohemiantangents.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bohemiantangents.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bohemiantangents.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bohemiantangents.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=137"}],"version-history":[{"count":5,"href":"https:\/\/bohemiantangents.com\/index.php?rest_route=\/wp\/v2\/posts\/137\/revisions"}],"predecessor-version":[{"id":1310,"href":"https:\/\/bohemiantangents.com\/index.php?rest_route=\/wp\/v2\/posts\/137\/revisions\/1310"}],"wp:attachment":[{"href":"https:\/\/bohemiantangents.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=137"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bohemiantangents.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=137"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bohemiantangents.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=137"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}