Abstract
This chapter discusses numeration systems. A numeration system is a scheme in which basic symbols are combined, in a systematic way to name numbers. To have a numeration system, at least two symbols are needed. A numeration system uses the additive principle if the number named by a combination of basic symbols is determined by finding the sum of the numbers named by each of the basic symbols in the combination. A numeration system uses the positional principle if the number named by a basic symbol depends on its position in a combination of basic symbols. A numeration system employs the multiplicative principle if some method exists whereby the number named by a basic symbol is multiplied by some number. A numeration system employs the subtractive principle if it contains a method, whereby the number named by a combination of symbols is determined by subtracting the number named by one symbol from that named by another.
Published Version
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