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

Schneider, Herbert (2018): Zur mathematischen Struktur der Wertformen von Karl Marx in 'Das Kapital'.

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.

• Item Type: MPRA Paper
• English Title: About the mathematical structure of the form of value of Karl Marx in 'Das Kapital'
• Language: German
• 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
• Subjects: A - General Economics and Teaching > A1 - General Economics > A12 - Relation of Economics to Other Disciplines; B - History of Economic Thought, Methodology, and Heterodox Approaches > B1 - History of Economic Thought through 1925 > B14 - Socialist ; Marxist; B - History of Economic Thought, Methodology, and Heterodox Approaches > B1 - History of Economic Thought through 1925 > B16 - Quantitative and Mathematical; B - History of Economic Thought, Methodology, and Heterodox Approaches > B5 - Current Heterodox Approaches > B51 - Socialist ; Marxian ; Sraffian; C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C60 - General; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C65 - Miscellaneous Mathematical Tools; P - Economic Systems > P1 - Capitalist Systems > P16 - Political Economy

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