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Digital culture
Prolegomena to Educatio Digitale
Thursdays 10:15 - 11:45, Hardenbergstr. 33, R110

Semester 0 :: Historical Context
Session 3 :: Between Antiquity and Rennaissance

Order of the day
  1. Repetitio :: Antiquity
  2. Narratio :: L'histoire de fille mecanique
  3. Questio :: What is a digit ?

  4. Lectio :: Dark ages
    • al-Khwarizmi
    • Fibonacci

  5. Exercitio :: Abacus II.
  6. Disputatio :: Your feedback
Question of the day
What is a digit ?

Etymology of the word "digit"
Mariam-Webster dict. definition of a "digit"
    • any of the Arabic numerals 1 to 9 and usually the symbol 0
    • one of the elements that combine to form numbers in a system other than the decimal system
    • digits , slang : the digits of a telephone number
  1. any of the divisions in which the limbs of most vertebrates terminate, which are typically five in number but may be reduced (as in the horse), and which typically have a series of phalanges bearing a nail, claw, or hoof at the tip
Our definition "digit"
Muhammad ibn Musa al-Khwarizmi (c. 780 - 850 A.D.)
House of Wisdom of Baghdad
Liber Algebræ et Almucabola
"an algorithm" to solve quadratic equation
If some one says: "You divide ten into two parts: multiply the one by itself; it will be equal to the other taken eighty-one times."
Computation: You say, ten less a thing, multiplied by itself, is a hundred plus a square less twenty things, and this is equal to eighty-one things. Separate the twenty things from a hundred and a square, and add them to eighty-one. It will then be a hundred plus a square, which is equal to a hundred and one roots. Halve the roots; the moiety is fifty and a half. Multiply this by itself, it is two thousand five hundred and fifty and a quarter. Subtract from this one hundred; the remainder is two thousand four hundred and fifty and a quarter. Extract the root from this; it is forty-nine and a half. Subtract this from the moiety of the roots, which is fifty and a half. There remains one, and this is one of the two parts.
(1831 English Translation)
Arithmetics: Dixit algorizmi...
Leonardo Fibonacci of Pisa (c. 1175 c. 1250)
Fibonacci's sequence :: Rabbits
"Suppose a newly-born pair of rabbits, one male, one female, are put in a field. Rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits. Suppose that our rabbits never die and that the female always produces one new pair (one male, one female) every month from the second month on.
How many pairs will there be in one year?"
Fibonacci's sequence :: Spiral
modus Indorum :: the method of Indians
"The nine Indian figures are:
9 8 7 6 5 4 3 2 1
With these nine figures, and with the sign 0 which the Arabs call zephir any number whatsoever is written...

Leonardo Fibonacci of Pisa :: Liber Abaci :: The Book of the Abacus
Exercicio :: Abacus
Abacus homework
Feedback 0 :: 3 questions


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