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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']

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  • Schneider, Herbert

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.

Suggested Citation

  • Schneider, Herbert, 2018. "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']," MPRA Paper 88207, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:88207
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    File URL: https://mpra.ub.uni-muenchen.de/88207/1/MPRA_paper_88207.pdf
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    More about this item

    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;
    All these keywords.

    JEL classification:

    • A12 - General Economics and Teaching - - General Economics - - - Relation of Economics to Other Disciplines
    • B14 - Schools of Economic Thought and Methodology - - History of Economic Thought through 1925 - - - Socialist; Marxist
    • B16 - Schools of Economic Thought and Methodology - - History of Economic Thought through 1925 - - - Quantitative and Mathematical
    • B51 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches - - - Socialist; Marxian; Sraffian
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • P16 - Political Economy and Comparative Economic Systems - - Capitalist Economies - - - Capitalist Institutions; Welfare State

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