SearcharxivSearch

arXiv · math/0606699

Origin of the numerals

Abstract

Through the pagination of an Arabian Algerian manuscript of the beginning of the 19th century, we rediscover the original shape, the "Ghubari" shape, of the numerals. Contrary to some assumptions, particularly those which claim that they are derived from Indian characters, this "Ghubari" shape, whose use has completely disappeared, shows that the ten modern numerals derive from ten Arabic letters. The symbol of a "Ghubari" numeral corresponds to the Arabic letter whose "Abjadi" numerical value is equal to this numeral. The assumption of the Indian origin of the numerals is denied by the shape of the numerals and by the right left sociological logic of the representation of the numerals and the algorithms of the basic operations. The numerals are born in Maghreb or in Spain. In Europe, the "Ghubari" numerals became the modern numerals: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and in the Middle East, borrowing two Hebrew letters, they gave the "Mashriki" numerals: ۰ ۱ ۲ ۳ ٩ ٨ ٧ ٦ ٥ ٤ .

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Ahmed Boucenna. 2006-07-03. Origin of the numerals. https://arxiv.org/abs/math/0606699

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Perspectives on the unit distance problem

This is a survey on an old open problem in combinatorics called the unit distance problem, and the field of mathematics around it, called incidence geometry. What do we know about the problem? Why is it difficult? How does it connect with other parts of math?

math.HO

A Categorical Approach to Euclidean Ratios and Proportions

A categorial approach to the non-metric geometry in Books V and VI of Euclid's \textit{Elements} is presented. Specifically, we introduce a diagrammatic syntax that can be overlaid immediately on his diagrams, thus bridging intuitive presentation with fidelity to Euclid's arguments. This syntax makes complicated definitions like V.5, and indeed the arguments throughout books V and VI, including arguments about similar figures, intuitively clear. We show in an appendix that this syntax can be used to solve a puzzle regarding ancient mathematics. Finally, we offer evidence that this approach to Euclidean diagrams is rooted in the Aristotelian tradition itself, and that a similar syntax was utilized, in antiquity, for related questions of numeric and proportions. Thus the syntax is plausibly faithful to Euclid's own thought-world, and not an outside-imposition.

math.HO

Some Early Results by Tutte Regarding the Cycle Double Cover Conjecture in 1948

OpenAI recently announced a proof of the Cycle Double Cover (CDC) Conjecture. Most media reports have characterized it as a 50-year-old open problem. In reality, according to a 1987 letter from Tutte to Fleischner, the Cycle Double Cover Problem has been open for at least 80 years. Two early results regarding the CDC conjecture were established in one of Tutte's 1949 publications.

math.HO