The history of algebra and the development of the form of its language

10Citations
Citations of this article
27Readers
Mendeley users who have this article in their library.

This article is free to access.

Abstract

This paper offers an epistemological reconstruction of the historical development of algebra from al-Khwarizmi, Cardano, and Descartes to Euler, Lagrange, and Galois. In the reconstruction it interprets the algebraic formulas as a symbolic language and analyzes the changes of this language in the course of history. It turns out that the most fundamental epistemological changes in the development of algebra can be interpreted as changes of the pictorial form (in the sense of Wittgenstein's Tractatus) of the symbolic language of algebra. Thus the paper develops further the method of reconstruction which the author introduced for the analysis of the development of geometry. © 2006 Oxford University Press.

Cite

CITATION STYLE

APA

Kvasz, L. (2006). The history of algebra and the development of the form of its language. Philosophia Mathematica, 14(3), 287–317. https://doi.org/10.1093/philmat/nkj017

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free