IDEAS home Printed from https://ideas.repec.org/a/taf/rsocec/v79y2021i1p25-50.html
   My bibliography  Save this article

The dialectics of differentiation: Marx's mathematical manuscripts and their relation to his economics

Author

Listed:
  • Peter Hans Matthews

Abstract

The notion that Marx neither understood nor advocated the use of mathematics is a persistent one. His interest in both commercial and abstract mathematics spanned more than two decades, however, and culminated in two ‘contributions’ to the foundations of the calculus: ‘On the Concept of the Derived Function’ (1881) and ‘On the Concept of the Differential’ (1881). A detailed examination of these and other technical notebooks suggests that Marx's economics both motivated and informed his studies in mathematics and that these, in turn, influenced his understanding of economic phenomena.

Suggested Citation

  • Peter Hans Matthews, 2021. "The dialectics of differentiation: Marx's mathematical manuscripts and their relation to his economics," Review of Social Economy, Taylor & Francis Journals, vol. 79(1), pages 25-50, January.
  • Handle: RePEc:taf:rsocec:v:79:y:2021:i:1:p:25-50
    DOI: 10.1080/00346764.2019.1664758
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00346764.2019.1664758
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/00346764.2019.1664758?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Peter Hans Matthews, 2000. "An Econometric Model of the Circuit of Capital," Metroeconomica, Wiley Blackwell, vol. 51(1), pages 1-39, February.
    2. Cockshott, W Paul & Cottrell, Allin F, 1997. "Labour Time versus Alternative Value Bases: A Research Note," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 21(4), pages 545-549, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cottrell, Allin & Cockshott, W. Paul, 2007. "Against Hayek," MPRA Paper 6062, University Library of Munich, Germany.
    2. Roberto Veneziani & Luca Zamparelli & Simon Mohun & Roberto Veneziani, 2017. "Value, Price, And Exploitation: The Logic Of The Transformation Problem," Journal of Economic Surveys, Wiley Blackwell, vol. 31(5), pages 1387-1420, December.
    3. Deepankar Basu, 2011. "Financialization, Household Credit and Economic Slowdown in the U.S," Working Papers wp261, Political Economy Research Institute, University of Massachusetts at Amherst.
    4. Lefteris Tsoulfidis & Dimitris Paitaridis, 2017. "Monetary Expressions of Labour Time and Market Prices: Theory and Evidence from China, Japan and Korea," Review of Political Economy, Taylor & Francis Journals, vol. 29(1), pages 111-132, January.
    5. Cockshott, Paul & Renaud, Karen, 2016. "Humans, robots and values," Technology in Society, Elsevier, vol. 45(C), pages 19-28.
    6. Roberto Veneziani & Luca Zamparelli & Deepankar Basu, 2017. "Quantitative Empirical Research In Marxist Political Economy: A Selective Review," Journal of Economic Surveys, Wiley Blackwell, vol. 31(5), pages 1359-1386, December.
    7. Lambert, Karras J. & Fegley, Tate & Candela, Rosolino & Boettke, Peter & Phelan, Steven E. & Wenzel, Nikolai G. & Dapprich, J. Philipp, 2023. "Reply and counter-reply: On cybersocialism," Journal of Economic Behavior & Organization, Elsevier, vol. 212(C), pages 300-310.
    8. Moreno-Casas, Vicente & Espinosa, Victor I. & Wang, William Hongsong, 2022. "The political economy of complexity: The case of cyber-communism," Journal of Economic Behavior & Organization, Elsevier, vol. 204(C), pages 566-580.
    9. Paulo L. Santos, 2014. "A Note on Credit Allocation, Income Distribution and the Circuit of Capital," Metroeconomica, Wiley Blackwell, vol. 65(2), pages 212-236, May.
    10. Vaona, Andrea, 2015. "Price–price deviations are highly persistent," Structural Change and Economic Dynamics, Elsevier, vol. 33(C), pages 86-95.
    11. Basu, Deepankar, 2015. "A Selective Review of Recent Quantitative Empirical Research in Marxist Political Economy," UMASS Amherst Economics Working Papers 2015-05, University of Massachusetts Amherst, Department of Economics.
    12. Nikolaos Chatzarakis, 2023. "Stagnation and cycles in Marx’s Circuit of Capital," Working Papers 2310, New School for Social Research, Department of Economics.
    13. Jan Mikael Malmaeus, 2016. "Economic Values and Resource Use," Sustainability, MDPI, vol. 8(5), pages 1-20, May.
    14. Emilio Díaz & Rubén Osuna, 2009. "From correlation to dispersion: geometry of the price-value deviation," Empirical Economics, Springer, vol. 36(2), pages 427-440, May.
    15. Andrea Vaona, 2014. "A panel data approach to price–value correlations," Empirical Economics, Springer, vol. 47(1), pages 21-34, August.
    16. B. Güney Işıkara & Patrick Mokre, 2020. "Price-Value Deviations and the Labor Theory of Value. Evidence from 42 Countries, 2000-2017," Working Papers 2003, New School for Social Research, Department of Economics.
    17. Fernando Rugitsky, 2015. "Financialization, Housing Bubble, and the Great Recession: an interpretation based on a circuit of capital model," Working Papers, Department of Economics 2015_24, University of São Paulo (FEA-USP).
    18. Peter Flaschel & Nils Fröhlich & Roberto Veneziani, 2013. "The sources of aggregate profitability: Marx's theory of surplus value revisited," European Journal of Economics and Economic Policies: Intervention, Edward Elgar Publishing, vol. 10(3), pages 299—312-2, December.
    19. William Hongsong Wang & Victor I. Espinosa & José Antonio Peña-Ramos, 2021. "Private Property Rights, Dynamic Efficiency and Economic Development: An Austrian Reply to Neo-Marxist Scholars Nieto and Mateo on Cyber-Communism and Market Process," Economies, MDPI, vol. 9(4), pages 1-17, November.
    20. Deepankar Basu, 2011. "Comparative Growth Dynamics in a Discrete-time Marxian Circuit of Capital Model," UMASS Amherst Economics Working Papers 2011-12, University of Massachusetts Amherst, Department of Economics.

    More about this item

    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
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:rsocec:v:79:y:2021:i:1:p:25-50. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RRSE20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.