Philosophia Mathematica 14 (3):287-317 (2006)

This paper offers an epistemological reconstruction of the historical development of algebra from al-Khwrizm, 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 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
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DOI 10.1093/philmat/nkj017
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References found in this work BETA

Greek Mathematical Thought and the Origin of Algebra.Jacob Klein, Eva Brann & J. Winfree Smith - 1969 - British Journal for the Philosophy of Science 20 (4):374-375.
P. Mancosu : From Bouwer To Hilbert.Ladislav Kvasz - 1998 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 5 (4):422-425.

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Citations of this work BETA

Informational Realism and World 3.Donald Gillies - 2010 - Knowledge, Technology & Policy 23 (1-2):7-24.
Kant's Philosophy of Geometry--On the Road to a Final Assessment.L. Kvasz - 2011 - Philosophia Mathematica 19 (2):139-166.
EPR and the 'Passage' of Time.Friedel Weinert - 2013 - Philosophia Naturalis 50 (2):173-199.

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