Why Algorithms Are Called Algorithms, and How It All Goes Back to the Medieval Persian Mathematician Muhammad al-Khwarizmi

In recent decades, a medieval Per­sian word has come to promi­nence in Eng­lish and oth­er major world lan­guages. Many of use it on a dai­ly basis, often while regard­ing the con­cept to which it refers as essen­tial­ly mys­te­ri­ous. The word is algo­rithm, whose roots go back to the ninth cen­tu­ry in mod­ern-day Greater Iran. There lived a poly­math by the name of Muham­mad ibn Musa al-Khwariz­mi, whom we now remem­ber for his achieve­ments in geog­ra­phy, astron­o­my, and math­e­mat­ics. In that last field, he was the first to define the prin­ci­ples of “reduc­ing” and “bal­anc­ing” equa­tions, a sub­ject all of us came to know in school as alge­bra (a name itself descend­ed from the Ara­bic al-jabr, or “com­ple­tion”).

Today, a good few of us have come to resent algo­rithms even more than alge­bra. This is per­haps because algo­rithms are most pop­u­lar­ly asso­ci­at­ed with the deep, unseen work­ings of the inter­net, a sys­tem with ever increas­ing influ­ence over the things we do, the infor­ma­tion we receive, and even the peo­ple with whom we asso­ciate.

Pro­vid­ed suf­fi­cient data about us and the lives we lead, so we’re giv­en to under­stand, these algo­rithms can make bet­ter deci­sions for us than we can make for our­selves. But what exact­ly are they? You can get one answer from “Why Algo­rithms Are Called Algo­rithms,” the BBC Ideas video at the top of the post.

For West­ern civ­i­liza­tion, al-Khwarizmi’s most impor­tant book was Con­cern­ing the Hin­du Art of Reck­on­ing, which was trans­lat­ed into Latin three cen­turies after its com­po­si­tion. Al-Khwarizmi’s Latinized name “Algo­rit­mi” gave rise to the word algo­ris­mus, which at first referred to the dec­i­mal num­ber sys­tem and much lat­er came to mean “a set of step-by-step rules for solv­ing a prob­lem.” It was Enig­ma code­break­er Alan Tur­ing who “worked out how, in the­o­ry, a machine could fol­low algo­rith­mic instruc­tions and solve com­plex math­e­mat­ics. This was the birth of the com­put­er age.” Now, much fur­ther into the com­put­er age, algo­rithms “are help­ing us to get from A to B, dri­ving inter­net search­es, mak­ing rec­om­men­da­tions of things for us to buy, watch, or share.”

The algo­rithm giveth, but the algo­rithm also taketh away — or so it some­times feels as we make our way deep­er into the twen­ty-first cen­tu­ry. In the oth­er BBC Ideas video just above, Jon Stroud makes an inves­ti­ga­tion into both the nature and the cur­rent uses of this math­e­mat­i­cal con­cept. The essen­tial job of an algo­rithm, as the experts explain to him, is that of pro­cess­ing data, these days often in large quan­ti­ties and of var­i­ous kinds, and increas­ing­ly with the aid of sophis­ti­cat­ed machine-learn­ing process­es. In mak­ing or influ­enc­ing choic­es humans would once have han­dled them­selves, algo­rithms do present a risk of “de-skilling” as we come to rely on their ser­vices. We all occa­sion­al­ly feel grat­i­tude for the bless­ings those ser­vices send our way, just as we all occa­sion­al­ly blame them for our dis­sat­is­fac­tions — mak­ing the algo­rithm, in oth­er words, into a thor­ough­ly mod­ern deity.

Relat­ed con­tent:

Algo­rithms for Big Data: A Free Course from Har­vard

Advanced Algo­rithms: A Free Course from Har­vard Uni­ver­si­ty

This Is Your Kids’ Brains on Inter­net Algo­rithms: A Chill­ing Case Study Shows What’s Wrong with the Inter­net Today

The Prob­lem with Face­book: “It’s Keep­ing Things From You”

The Com­plex Geom­e­try of Islam­ic Art & Design: A Short Intro­duc­tion

How Youtube’s Algo­rithm Turned an Obscure 1980s Japan­ese Song Into an Enor­mous­ly Pop­u­lar Hit: Dis­cov­er Mariya Takeuchi’s “Plas­tic Love”

Based in Seoul, Col­in Mar­shall writes and broad­casts on cities, lan­guage, and cul­ture. His projects include the Sub­stack newslet­ter Books on Cities, the book The State­less City: a Walk through 21st-Cen­tu­ry Los Ange­les and the video series The City in Cin­e­ma. Fol­low him on Twit­ter at @colinmarshall or on Face­book.


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