| Origins of the Numerals | ||
|
|
Hindu numeral system is a pure place-value system, that is why you need a zero. Only the Hindus, within the context of Ind-European civilizations, have consistently used a zero. The Arabs, however, played an essential part in the dissemination of this numeral system.
Numerals, a time travel from India to EuropeThe discovery of zero and the place-value system were inventions unique to the Indian civilization. As the Brahmi notation of the first 9 whole numbers... Before adopting the Hindu-Arabic numeral system, people used the Roman figures instead, which actually are a legacy of the Etruscan period. The Roman numeration is based on a biquinary (5) system. To write numbers the Romans used an additive system: V + I + I = VII (7) or C + X + X + I (121), and also a substractive system: IX (I before X = 9), XCIV (X before C = 90 and I before V = 4, 90 + 4 = 94). Latin numerals were used for reckoning until late XVI century! ![]() The graphical origin of the Roman numbers ![]() Other original systems of numeration Other original systems of numeration were being used in the past. The "Notae Elegantissimae" shown below allow to write numbers from 1 to 9999. They are useful as a mnemotechnic aid, e.g. the symbol K may mean 1414 (the first 4 figures of the square root of 2). Chinese and Japanese contributions The Ba-Gua (pron. pah-kwah) trigrams and the Genji-Koh patterns, antique Chinese and Japanese symbols, are strangely enough related to mathematics and electronics. If all the entire lines of the trigrams (___) are replaced with the digit 1 and the broken lines (_ _) with the digit 0, each Ba Gua trigram will represent then a binary number from 0 to 7, and each number is laid in front of its complementary (0<>7, 1<>6, 2<>5, etc...). Write "a", "b", "c", "d" and "e" under the five small red sticks of each Genji-Koh pattern. By doing so, you will have the 52 manners to CONNECT 5 variables in boolean algebraics. The binded sticks form a "conjunction" (AND, .), and the isolated sticks or groups of sticks form a "disjunction" (OR, +). The pattern at the top left represents: [("a" and "d") or ("b" and "e") or "c"] ![]()
|


Numerals, a time travel from India to Europe




