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Science

Incas Used Binary? 477

Abhijeet Chavan writes "An article in the Independent reports that a leading scholar believes the Incas may have used a form of binary code 500 years before computers were invented. 'Gary Urton, professor of anthropology at Harvard University, has re-analysed the complicated knotted strings of the Inca - decorative objects called khipu - and found they contain a seven-bit binary code capable of conveying more than 1,500 separate units of information...If Professor Urton is right, it means the Inca not only invented a form of binary code more than 500 years before the invention of the computer, but they used it as part of the only three-dimensional written language.'"
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Incas Used Binary?

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  • by tizzyD ( 577098 ) * <tizzyd AT gmail DOT com> on Monday June 23, 2003 @07:22AM (#6272035) Homepage
    We tend to have such an ego about ourselves. We think that we are the only ones who've ever had running septic systems, who moved mountains, and now, it appears, to use binary. Think: how else to you code data on a string? Our ancestors are not all that stupid. They helped us get to where we are today.

    The more we learn, the more we forget. For example, who can tell me the best mix for bronze? Not many now. How about what's best to plant after sowing rye for two years? As we continue to move into a more technological society, there is quite a bit of knowledge we are losing. Remember the famous ancient battery?

    I'd suggest that if we got off of our superiority high horse, we'd find that we've always been quite ingenious. 7-bit though, that's what I find interesting. Wonder where 7 bits comes from. 10 or 5 --that I'd understand. 7, perhaps someone who'd been in a terrible accident?!

  • by brunes69 ( 86786 ) <`gro.daetsriek' `ta' `todhsals'> on Monday June 23, 2003 @07:24AM (#6272042)
    Think about it for more than 0.5 seconds why don't you. ASCII code is only 7 bit and it can represent every word in the English (and many other) languages.Just because you have a 7 bit code does not mean you cant repeat values made up from that code.

    Next time think before you say someone doesn't know what they are talking about and make yourself a fool.
  • Not unique (Score:5, Insightful)

    by Ceriel Nosforit ( 682174 ) on Monday June 23, 2003 @07:24AM (#6272045)
    The Chinese I Ching uses 6 bit binary to map 64 symbols, one bit essentially being a 'yes' or 'no' answer from a form of oracle. There's a bit more math behind it, but that's the core of it.
    The symbols provide an array of wisedom and advice for those who map them.

    Oddly enough, Terence McKenna managed to calculate the end of the world to December 21, 2012 using I Ching, while the Incas (Or was it Mayas? I confuse them.) calculated it to the same date. - Behold the powers of binary.
  • Analysis (Score:3, Insightful)

    by Gothmolly ( 148874 ) on Monday June 23, 2003 @07:33AM (#6272085)
    24 discrete colors = 24 additional bits, so it's NOT a 7bit binary system, its a 31bit system... if you can even call it that. Where the heck did they get the artcile summary from? Next, I'll come up with a new "binary" system that uses 26 strange, mystical symbols from [A-Z].
  • Re:7 bits? (Score:2, Insightful)

    by Anonymous Coward on Monday June 23, 2003 @08:07AM (#6272229)
    If there are 24 possible values for each digit, it's not binary, but bidecaquaternary or something.
  • Re:Dont read it! (Score:3, Insightful)

    by n3k5 ( 606163 ) on Monday June 23, 2003 @08:19AM (#6272287) Journal
    Neal Stephenson was right! Its Snow Crash!
    Haven't read the article yet, but I also thought of Stephenson's 'Snow Crash' when I read the posting. For those who haven't read the book, it describes an ancient culture that used clay tablets to write down algorithms that would be executed by humans. Much like cake recipies, but the ruler/priest would decide what needed to be done (harvest wheat, build a house, depending on the season) and make the subjects 'run' the right 'script'.

    And for those who'd like to understand the joke above ...
    --- SPOILER ALERT! SPOILER ALERT! ---
    Snow Crash, in the book of that name, is a virus that infects programmers if they just look at a certain document.
  • by Roblem ( 605718 ) on Monday June 23, 2003 @08:22AM (#6272298) Homepage
    First off I wouldnâ(TM)t really consider binary an âoeinventedâ numerical system. I would only consider the roman system wacky enough to be invented. Also we are talking about labeling things with knots in strings right? Or did they work out rules for binary math? Of course they did have a nice data compression algorithm what with 7 bit binary encoding 1536 items. Of course if you read the article you find none of this is true. They used colored strings with knots in them to label things. Big deal! Knots in strings are not the same thing as a math system nor should they be compared one to one with Egyptian hieroglyphics.
  • Re:Old news (Score:4, Insightful)

    by Anonymous Coward on Monday June 23, 2003 @08:24AM (#6272306)
    Why would they use the damn wheel on very short , irregular mountain roads, connected via unstable rope bridges?

  • Re:Old news (Score:2, Insightful)

    by Anonymous Coward on Monday June 23, 2003 @08:25AM (#6272314)
    Remember, the Incas were one of the more institutionally stupid (and thus, extinct) civilizations in history - after independently inventing the wheel, they used it for children's toys exclusively.

    A cart will do you hardly any good in the Andes given the screwy terrain.

    Anyway, thank the Incas for chocolate (and coffee too i believe).
  • by Kopretinka ( 97408 ) on Monday June 23, 2003 @08:35AM (#6272364) Homepage
    The more we learn, the more we forget. For example, who can tell me the best mix for bronze? Not many now. How about what's best to plant after sowing rye for two years? As we continue to move into a more technological society, there is quite a bit of knowledge we are losing. Remember the famous ancient battery?

    I don't think that 500 years ago, or a couple thousand years ago (in the bronze era) there were that many who would tell you the best mix for bronze.

    While it is true that some arts are lost (dead languages, for example), still there are enough people who know the best mix for bronze or what to plant after rye. The thing is we don't need one such person per neighbourhood anymore since we can store and communicate information very easily.

    In fact, even if we suddently stop using bronze and the current makers slowly die leaving no successors, we may still be able to recreate bronze because the best mix is recorded somewhere. That is, as long as we can read it - we are now surprised with the Incas' use of binary because their whole civilization is gone. If Incas lived, they could have been the origin of computers, once the technology was there.

  • Re:7 bits? (Score:3, Insightful)

    by pe1rxq ( 141710 ) on Monday June 23, 2003 @08:44AM (#6272394) Homepage Journal
    If you have a choice out of 24 colors this leads to 24^1 possibilitys which equals 24....... :)
    So you have a code space of 24 times 2^7 ....
    The article is a bit fuzzy on this point as it mentions 24 times 2^6 ... Maybe they left a knot out or only have 6 knots....
    In any way it is way less then your 39 bits....
    If it was 32 colors (2^5) this would lead to a total of 2^(5+7)=4096 (or in the articles case 2^(5+6)=2048)) possibilities. Or 12 (or 11) bits.

    Jeroen
  • by geighaus ( 670864 ) on Monday June 23, 2003 @09:01AM (#6272511)
    It is believed that 7 is a number of things human's brain can operate at any given time. Doubt that Incas were aware of this 'fact', but who knows after all :=
  • Re:5, 7, and 10 (Score:5, Insightful)

    by Anonymous Coward on Monday June 23, 2003 @09:02AM (#6272518)
    10 is actually *not* a natural base to work with - it's quite unfriendly to working in small fractions (try adding one half + one third on your ten fingers). More natural bases to use if you're a culture seriously working out math for the first time are 12 (evenly divisible by 2,3,4) or 60 (divisible by 2,3,4,5). [pssst - look at a clock]. Nobody who had to do calculations for a living would have picked base 10 - I'm sure it was a management decision.
  • I he is right (Score:2, Insightful)

    by banana fiend ( 611664 ) on Monday June 23, 2003 @09:03AM (#6272529)
    I saw a program where another professor (I find this a bit confusing - professor in America is a lecturer right? In Ireland Professor is reeeeaaaallll high up the food chain), tried to prove that the Incas used giant mirrors to create temperatures high enough to melt rock and create the perfect fitting buildings they have

    He failed to ignite a small stick, and sounded utterly unconvincing .... and mad.

    While I know the babylonians had batteries and the Incas were well and truly advanced, there are nutters proposing all sorts of things. It probably IS a code - but perhaps one like the hanky code (only example I could think of sorry), where the colors signified entire concepts rather than some sort of grammar.

    In summation: this guy could oh so easily be a wacko

  • Re:7 bits? (Score:2, Insightful)

    by 91degrees ( 207121 ) on Monday June 23, 2003 @09:16AM (#6272598) Journal
    Nope.

    Groups of 7 bits. All the knots in a group are the same colour.
  • by xutopia ( 469129 ) on Monday June 23, 2003 @09:32AM (#6272667) Homepage
    in that link you send us there is the reason why they didn't use the wheel. Did you see the mountains? Did you see the slopes? To them a wheel wouldn't have had much to offer.
  • by Surak ( 18578 ) * <surak&mailblocks,com> on Monday June 23, 2003 @09:42AM (#6272761) Homepage Journal
    Well, rememeber it isn't my theory, it's Terence McKenna's. McKenna was an occultist who died in 2000. As an occultist myself, I find his work to be quite fascinating. Remember that everything you read in the occult field you have to take with a large grain of salt and then pick and choose what you believe for yourself -- even if it's nothing. That's something anyone who's studied the occult for any length of time will automatically tell you when you're just getting started.
  • Re:Analysis (Score:2, Insightful)

    by Anonymous Coward on Monday June 23, 2003 @09:58AM (#6272898)
    24 discrete colors = 24 additional bits, so it's NOT a 7bit binary system, its a 31bit system.
    Unless the Incas painted each knot more than one colour, no, 24 discrete colors != 24 additional bits.

    Think about it -- unless a single knot can be painted all twenty-four colours at once, there's no way you can turn all twenty-four bits "on". It's much more likely, given the limitations of painting on tiny knots, that a knot would be one and one color only, and that the article's math is thus correct
  • Re:Old news (Score:4, Insightful)

    by RevMike ( 632002 ) <revMike@@@gmail...com> on Monday June 23, 2003 @10:01AM (#6272917) Journal
    after independently inventing the wheel, they used it for children's toys exclusively.

    It is a pretty consistent observation that lots of cultures invented the wheel, but only those that had access to high quality draft animals used it. Remember that the horse and other draft animals (oxen, donkey, etc.) were extinct in the new world until (re)introduced by the Europeans in 1492.

    A great book on the subject is Guns, Germs, Steel: The Fate of Human Societies by Jared Diamond [amazon.com]. Diamond argues that two dominant cultures have arisen - A Western culture that traces its roots to Fertile Crescent in modern day Iraq and the an Eastern culture that traces its roots to the Yellow River Valley. In both of these places nature and geography conspired to create a package of tools that allowed these cultures to spread.

    Both these places had the following...

    1. Naturally occuring staple foods - usually grains - that were easy to domesticate
    2. Large wild animals that were easy to domesticate and useful as draft animals
    3. Room to spread out while using the same tools
    In contrast, the natives of the Americas had only a single staple grain - corn - and that one took thousands of years longer than wheat, barley, oats, and rice to domesticate and they had no draft animals. As an added gotcha, when the American natives did manage to domesticate corn, there were barriers to spreading out. For instance, the people of Mexico - Aztec, Mayan, Toltec - would need to pack up and cross the American Southwestern deserts, then the great plains (which can't be farmed easily without steel plows), then the Appalachian mountains, before reaching readily farmable land in the Eastern USA. The Chinese and Middle Eastern peoples could spread all the way to Korea, India, North Africa, and Europe without hitting that much of a barrier.

  • Re:Not unique (Score:3, Insightful)

    by maraist ( 68387 ) * <michael.maraistN ... m ['AMg' in gap]> on Monday June 23, 2003 @10:11AM (#6273014) Homepage
    the Incas saw everything unfamiliar as supernatural, having been isolated from other cultures.

    It's an interesting perspective, because most European cultures believed similarly; except that more specificly than supernatural, the unfamiliar was considered demonic in nature (Surely God has revealed all that is good and pure to us in our sacred texts).
  • by CommieLib ( 468883 ) on Monday June 23, 2003 @10:12AM (#6273018) Homepage
    C.S. Lewis had a term for this: "snobbery of chronology". We, as a people, have a tendency to forget that people everywhere, always, are blindingly clever, and that the only reason we have, for example, cell phones, is that we have had a continuous line of development rather than one interrupted by plague, mass migration, etc. Take a little while and study archaeo-astronomy [desertusa.com] and this becomes clear.
  • Missing Fingers? (Score:3, Insightful)

    by PetoskeyGuy ( 648788 ) on Monday June 23, 2003 @10:44AM (#6273281)
    How about their great knowledge of astronomy. The moon has 28 days in a cycle and 7 days for each quarter to appear. Even more natural since even 3 toed sloths, spiders and turtles could agree on this one. :o)

    For a culture to have picked up a system of writing based on the first guy using it having lost a few digits... Stranger things have happened.
  • by BigBadBri ( 595126 ) on Monday June 23, 2003 @11:05AM (#6273417)
    What?

    You mean the Inca had a seven day week, from the same creation myth that we have?

    Wow, spooky.

    The nearest astronomical justification for a 7 day week would be 1/4 of a moon cycle, which may indeed be related to the true origins of the week, full moon - waning - new moon - waxing being natural divisions for a society basing its calendar on lunar observation.

    Perhaps the inventors of Genesis merely fitted the creation myth to a pre-existing division.

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