# Encyclopedia of Complexity and Systems Science

Living Edition
| Editors: Robert A. Meyers

# Grossone Infinity Computing

Living reference work entry
DOI: https://doi.org/10.1007/978-3-642-27737-5_685-1

## Introduction

There exists an important distinction between numbers and numerals. A numeral is a symbol (or a group of symbols) that represents a number. A number is a concept that a numeralexpresses. The same number can be represented by different numerals. For example, the symbols “10,” “ten,” “IIIIIIIIII,” “X,” “=,” and “Ĩ” are different numerals, but they all represent the same number. (The last two numerals, = and Ĩ, are probably less known. The former belongs to the Maya numeral system where one horizontal line indicates five and two lines one above the other indicate ten. Dots are added above the lines to represent additional units. For instance, = means eleven in this numeral system. The latter symbol, Ĩ, belongs to the Cyrillic numeral system derived from the Cyrillic script. This numeral system was developed in the late tenth century and was used by South and East Slavic peoples. The system was used in Russia as late as the early eighteenth century when it was replaced with...

## Keywords

Numbers and numerals Grossone-based numerals Numerical infinities and infinitesimals Infinite sets
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