Journal of Indian Philosophy 35 (5-6):543-575 (2007)

Abstract
Medieval Arabic algebra is a good example of an artificial language.Yet despite its abstract, formal structure, its utility was restricted to problem solving. Geometry was the branch of mathematics used for expressing theories. While algebra was an art concerned with finding specific unknown numbers, geometry dealtwith generalmagnitudes.Algebra did possess the generosity needed to raise it to a more theoretical level—in the ninth century Abū Kāmil reinterpreted the algebraic unknown “thing” to prove a general result. But mathematicians had no motive to rework their theories in algebraic form. Because it offered no advantage over geometry, algebra remained a practical art in both the Islamic world and in Europe until the scientific uphevals of the 17th–18th centuries
Keywords Arabic algebra  artificial language  generosity  Abū Kāmil
Categories (categorize this paper)
Reprint years 2008
DOI 10.1007/s10781-007-9026-4
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 63,194
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

The Rise of Colleges. Institutions of Learning in Islam and the West.Norman Daniel & George Makdisi - 1984 - Journal of the American Oriental Society 104 (3):586.
Artificial Languages Across Sciences and Civilizations.Frits Staal - 2006 - Journal of Indian Philosophy 34 (1-2):89-141.

View all 9 references / Add more references

Citations of this work BETA

Cognitive Stories and the Image of Mathematics.Wagner Roy - 2018 - Theoria : An International Journal for Theory, History and Fundations of Science 33 (2):305-323.

Add more citations

Similar books and articles

Analytics

Added to PP index
2009-01-28

Total views
42 ( #254,636 of 2,448,333 )

Recent downloads (6 months)
1 ( #450,727 of 2,448,333 )

How can I increase my downloads?

Downloads

My notes