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Grassmann’s epistemology: multiplication and constructivism

In: From Past to Future: Graßmann's Work in Context

Author

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  • Paola Cantù

    (Université de Provence, CEPERC – BP 68)

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.

Suggested Citation

  • Paola Cantù, 2011. "Grassmann’s epistemology: multiplication and constructivism," Springer Books, in: Hans-Joachim Petsche & Albert C. Lewis & Jörg Liesen & Steve Russ (ed.), From Past to Future: Graßmann's Work in Context, pages 91-100, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0346-0405-5_9
    DOI: 10.1007/978-3-0346-0405-5_9
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