Why is 'x' the unknown? | Terry Moore

711,277 views ・ 2012-06-06

TED


Please double-click on the English subtitles below to play the video.

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Translator: Timothy Covell Reviewer: Jenny Zurawell
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I have the answer to a question that we've all asked.
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The question is,
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Why is it that the letter X
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represents the unknown?
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Now I know we learned that in math class,
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but now it's everywhere in the culture --
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The X prize, the X-Files,
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Project X, TEDx.
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Where'd that come from?
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About six years ago
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I decided that I would learn Arabic,
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which turns out to be a supremely logical language.
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To write a word or a phrase
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or a sentence in Arabic
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is like crafting an equation,
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because every part is extremely precise
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and carries a lot of information.
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That's one of the reasons
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so much of what we've come to think of
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as Western science and mathematics and engineering
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was really worked out in the first few centuries of the Common Era
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by the Persians and the Arabs and the Turks.
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This includes the little system in Arabic
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called al-jebra.
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And al-jebr roughly translates to
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"the system for reconciling disparate parts."
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Al-jebr finally came into English as algebra.
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One example among many.
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The Arabic texts containing this mathematical wisdom
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finally made their way to Europe --
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which is to say Spain --
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in the 11th and 12th centuries.
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And when they arrived
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there was tremendous interest
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in translating this wisdom
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into a European language.
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But there were problems.
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One problem
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is there are some sounds in Arabic
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that just don't make it through a European voice box
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without lots of practice.
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Trust me on that one.
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Also, those very sounds
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tend not to be represented
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by the characters that are available in European languages.
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Here's one of the culprits.
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This is the letter sheen,
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and it makes the sound we think of as SH -- "sh."
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It's also the very first letter
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of the word shayun,
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which means "something"
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just like the the English word "something" --
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some undefined, unknown thing.
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Now in Arabic,
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we can make this definite
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by adding the definite article "al."
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So this is al-shayun --
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the unknown thing.
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And this is a word that appears throughout early mathematics,
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such as this 10th-century derivation of roots.
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The problem for the Medieval Spanish scholars
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who were tasked with translating this material
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is that the letter sheen and the word shayun
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can't be rendered into Spanish
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because Spanish doesn't have that SH,
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that "sh" sound.
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So by convention,
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they created a rule in which
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they borrowed the CK sound, "ck" sound,
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from the classical Greek
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in the form of the letter Kai.
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Later when this material was translated
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into a common European language,
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which is to say Latin,
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they simply replaced the Greek Kai
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with the Latin X.
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And once that happened,
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once this material was in Latin,
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it formed the basis for mathematics textbooks
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for almost 600 years.
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But now we have the answer to our question.
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Why is it that X is the unknown?
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X is the unknown
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because you can't say "sh" in Spanish.
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(Laughter)
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And I thought that was worth sharing.
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(Applause)
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