Grassmann’s epistemology: multiplication and constructivism

Paola Cantù ()
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Paola Cantù: Université de Provence, CEPERC – BP 68

A chapter in From Past to Future: Graßmann's Work in Context, 2011, pp 91-100 from Springer

Abstract: 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.

Keywords: Clifford Algebra; Variable Domain; Geometric Algebra; Homogeneous Element; Extension Theory (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0346-0405-5_9

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DOI: 10.1007/978-3-0346-0405-5_9

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