The unity of science in the arabic tradition : science, logic, epistemology and their interactions

TitleA conceptual analysis of early arabic algebra
Publication TypeBook Chapter (with title)
Year of Publication2008
AuthorsHeeffer, A
Secondary AuthorsRahman, S, Street, T, Tahiri, H
Book TitleThe unity of science in the arabic tradition : science, logic, epistemology and their interactions
Pages89–128
PublisherKluwer Academic Publishers
CityDordrecht
ISBN Number978-1-4020-8404-1
Abstract

Arabic algebra derives its epistemic value not from proofs but from correctly performing calculations using coequal polynomials. This idea of ‘mathematics as calculation’ had an important influence on the epistemological status of European mathematics until the seventeenth century. We analyze the basic concepts of early Arabic algebra such as the unknown and the equation and their subsequent changes within the Italian abacus tradition. We demonstrate that the use of these concepts has been problematic in several aspects. Early Arabic algebra reveals anomalies which can be attributed to the diversity of influences in which the al-jabr practice flourished. We argue that the concept of a symbolic equation as it emerges in algebra textbooks around 1550 is fundamentally different from the ‘equation’ as known in Arabic algebra.

URLhttp://dx.doi.org/1854/11276
Citation Key417858
Download PDF (Author PDF)
PDF author (public):