Grassmann’s epistemology: multiplication and constructivism

Conference paper

Abstract

Grassmann’s epistemological insights have attracted less attention than his mathemati cal results.Mathematicians have considered himas a precursor ofmodernmathematical theories – vector algebra, exterior algebra, Clifford algebra, and geometric algebrapaying attention to the development of mathematical results rather than to the philosophical differences between Grassmann’s own project and modern mathematical reconstructions [Cartan 1907; Hestenes 1985]. Historians of mathematics have analyzed the reception and influence of Grassmann (see for example the papers collected in[Schubring 1996a]), and philosophers’ attention has been driven especially to the Introduction to the 1844 edition of Ausdehnungslehre, or to a comparison with other philosophers.2.

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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.CEPERC – BP 68Université de ProvenceMarseille cedex 03France

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