Zur mathematischen Struktur der Wertformen von Karl Marx in 'Das Kapital'

About the mathematical structure of the form of value of Karl Marx in 'Das Kapital'

Herbert Schneider

MPRA Paper from University Library of Munich, Germany

Abstract: In the first section of Das Kapital by Karl Marx different forms of values are analysed. From a mathematical point of view one can find therein structures, which correspond to elements of the mathematical theory of categories. These are especially the limit of cones and the definition of subobjects as morphisms. Using the limit cone, the concept of money contains the categorial product of commodities. The concept of the value of a commodity contains the categorial definition of a subobject.

Keywords: Marx; Kapital; capital; Ware; commodity; Geld; Money; Tauschsphäre; exchange space; Tausch; Exchange; Tauschwert; exchange-value; exchange value; Gebrauchswert; use-value; use value; Wertform; value-form; form of value; Äquivalentform; universal equivalent form; Äquivalentware; universal equivalent commodity; Wert; value; Arbeitsproduktivität; labour productivity; Mathematik; mathematics; Kategorientheorie; category theory; Kategorie; category; kategoriales Produkt; categorical product; Limeskegel; limit cone; Unterobjekt; subobject (search for similar items in EconPapers)
JEL-codes: A12 B14 B16 B51 C02 C60 C65 P16 (search for similar items in EconPapers)
Date: 2018-07-26
New Economics Papers: this item is included in nep-ger, nep-his, nep-hme, nep-hpe and nep-pke
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