When was Zero invented?
The path that leads to the discovery of “0” lies only in the most advanced type of number system, which is called “positional” because the value of a character depends on its position. Our modern way of counting is positional. The base figure “5” has a different value in 514 and in 145, determined by its position. The Romans, Greeks, Hebrews (and Aztecs and pre-Islamic Arabs and a great many others) used an “additive” system, which is fundamentally a transcription of counting. A Roman “V” meant “five” and that’s all it could mean. An additive system can develop into a positional one — the abacus has a tendency to suggest the positional model — but as far as we know, the positional concept has emerged in only four places: c.2000 B.C.E., in Babylon; around the start of the Common Era, in China; between the 4th and 9th centuries C.E. among the Mayan astronomer-priests; and in India. Positional systems have certain features in common. One is that each number is denoted by a discrete symb