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마르크스와 수학

Marx and Mathematics

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주제분류사회과학일반

초록

‘미적분학을 탈신비화’하는 것을 핵심적인 주제로 삼았던 마르크스의 수학초고를 분석해보면, 적어도 그가 수학이 경제학적 재현의 도구가 될 수 없다고 생각하지않았던 것만은 분명하다. 더구나 그는 수학적 개념은 형이상학적인 것이 아니라 실재에 대응되는 것이어야 한다고 생각했다. 그러나 수학적 모형설정 그 자체는 중립적인 것이 아니라 경제학자의 비전에 의존한다는 점, 따라서 모형은 실재를 모두포괄할 수 없다는 점을 감안하면, 마르크스의 수학초고는 다양한 해석에 대해 열려있는 미완의 텍스트로 받아들여져야 한다. 노동시간의 화폐표현에 관한 최근의 연구들을 살펴봄으로써 이를 확인할 수 있다.

Abstract

Karl Marx’s manuscripts about “demystifying calculus” clearly show that that he did not reject the idea of using mathematics as a tool to represent economic relations. Furthermore, Marx thought that mathematical concepts should correspond to reality. Mathematical modelling, however, is always premised upon the “vision” of the economist and therefore, it cannot include all of reality, as the literature on the monetary expression of labor time (MELT) demonstrates. Given this, Marx’s mathematical manuscripts should be accepted as incomplete texts open to various interpretations.

참고문헌 (38)

  1. 置塩信雄, "価値と価格―労働価値説と均衡価格論", 神戸大学経済学研究年報, 1 (1955)
  2. 守健二, "ペロン-フロベニウス定理の経済学への応用", 経済理論, 46(3), pp.21~33 (2009)
  3. Aglietta, M., "A Theory of Capitalist Regulation: The US Experience" (1979), Verso
  4. Akama, M., "Japanese Economics and Economists Since 1945" (2000), Routledge
  5. Akinci, U., "Convergence of Monetary Equivalent of Labour Time(MELTs) in Two Marxian Interpretations", Cambridge Journal of Economics, 39(3) (2015)
  6. Alcouffe, A., "Marx’s Mathematical Manuscripts: A Reassessment", 13th Annual Conference of the European Society for the History of Economic Thought (2009)
  7. Anderson, K. B., "Uncovering Marx’s Yet Unpublished Writings", Critique, 30, pp.31 (1998), ~
  8. Carchedi, G., "Dialectics and Temporality in Marx’s Mathematical Manuscripts", Science & Society, 72(4) (2008)
  9. Carchedi, G., "Behind the Crisis: Marx’s Dialectics of Value and Knowledge" (2011), Brill
  10. Carchedi, G., "Mathematics and Dialectics in Marx: A Reply", Science & Society, 76(4) (2012)
  11. Structural Interdependence in Monetary Economics: Theoretical Assessment and Policy Implications, "Cavalieri, D.", MPRA, ~, pp.MPRA Paper No.62403 (2015)
  12. Dale, R., "Guglielmo Carchedi on Marx, Calculus, Time, and Dialectics", Science & Society, 75(4) (2011)
  13. Dobb, M., "Theories of Value and Distribution since Adam Smith: Ideology and Economic Theory" (1973), Cambridge University Press
  14. Dumenil, G., "A Note on the Formal Treatment of Exploitation in a Model with Heterogenous Labor", Metroeconomica, 60(3) (2009)
  15. Dumenil, G., "De la valeur aux prix de production" (1980), Economica
  16. Elster, J., "마르크스 이해하기 1" (2015), 나남
  17. Engels, F., "반듀링론" (1987), 새길
  18. Fahey, C., "Calculus: A Marxist Approach", Gazette of the Australian Mathematical Society, 36(4) (2009)
  19. Foley, D. K., "The Value of Money, the Value of Labor Power, and the Marxian Transformation Problem", Review of Radical Political Economics, 14 (1982)
  20. Gerdes, P., "The Philosophic-mathematical Manuscripts of Karl Marx on Differential Calculus: An Introduction" (2014), Lulu
  21. Howard, M. C., "A History of Marxian Economics vol.2: 1929~1990" (1992), Macmillan
  22. "Elementary Calculus: An Infinitesimal Approach" (2000)[URL]
  23. Kennedy, H. C., "Karl Marx and the Foundation of Differential Calculus", Historia Mathematica, 4 (1977)
  24. Kliman, A., "Reclaiming Marx’s ‘Capital’: A Refutation of the Myth of Inconsistency" (2007), Lexington Books
  25. Lafargue, P., "Karl Marx", Neue Zeit, 9 (1891)
  26. Laibman, "Two of Everything: a Response", Research in Political Economy, 18 (2000)
  27. Marx, K., "Mathematischeskie Rukopsii" (1968), Nauka Press
  28. Marx, K., "Mathematical Manuscripts of Karl Marx" (1983), New Park Publications
  29. The Dialectics of Differentiation, "Matthews, P. H.", Middlebury College, ~, pp.Middlebury College Economics Discussion Paper, No.02-03 (2002)
  30. Mobasher, B., "Marx’s Mathematical Manuscripts: A Review Essay", Nature, Society and Thought, 9(1) (1996)
  31. Mori, K., "Maurice Potron’s Linear Economic Model: A De Facto Proof of ‘Fundamental Marxian Theorem’", Metroeconomica, 59(3) (2008)
  32. Morishima, M., "Marx’s Economics: A Dual Theory of Value and Growth" (1973), Cambridge University Press
  33. Parisad, V., "Karl Marx Mathematical Manuscripts: Together with a Special Supplement" (1994)
  34. Rieu, D.-M., "Estimating Sectoral Rates of Surplus Value: Methodological Issues", Metroeconomica, 59(4) (2008)
  35. Rieu, D.-M., "Has the Okishio Theorem been Refuted?", Metroeconomica, 60(1) (2009)
  36. Ruccio, D. F., "The Merchant of Venice, or Marxism in the Mathematical Mode", Rethinking Marxism, 1(4) (1988)
  37. Smolinsky, L., "Karl Marx and Mathematical Economics", Journal of Political Economy, 81(5) (1973)
  38. Struik, D. J., "Marx and Mathematics", Science & Society, 12(1) (1948)

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