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Sraffa's Mathematical Economics - A Constructive Interpretation

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  • K. Vela Velupillai

Abstract

The claim in this paper is that Sraffa employed a rigorous logic of mathematical reasoning in his book, Production of Commodities by Means of Commodities (PCC), in such a way that the existence proofs were constructive. This is the kind of mathematics that was prevalent at the beginning of the 19th century, which was dominated by the concrete, the constructive and the algorithmic. It is, therefore, completely consistent with the economics of the 19th century, which was the fulcrum around which the economics of PCC was conceived.

Suggested Citation

  • K. Vela Velupillai, 2007. "Sraffa's Mathematical Economics - A Constructive Interpretation," Department of Economics Working Papers 0702, Department of Economics, University of Trento, Italia.
    • Handle: RePEc:trn:utwpde:0702
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    References listed on IDEAS

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    1. Douglas Cleveland, 1985. "Analysis," Challenge, Taylor & Francis Journals, vol. 28(4), pages 50-53, September.
    2. Debreu, Gerard, 1986. "Theoretical Models: Mathematical Forms and Economic Content," Econometrica, Econometric Society, vol. 54(6), pages 1259-1270, November.
    3. Smale, Stephen, 1976. "Dynamics in General Equilibrium Theory," American Economic Review, American Economic Association, vol. 66(2), pages 288-294, May.
    4. Debreu, Gerard, 1984. "Economic Theory in the Mathematical Mode," American Economic Review, American Economic Association, vol. 74(3), pages 267-278, June.
    5. Debreu, Gerard, 1991. "The Mathematization of Economic Theory," American Economic Review, American Economic Association, vol. 81(1), pages 1-7, March.
    6. Debreu, Gerard, 1984. "Economic Theory in the Mathematical Mode," American Economic Review, American Economic Association, vol. 74(3), pages 267-278, June.
    7. Doris M. Iklé, 1972. "A New Approach to the Index Number Problem," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 86(2), pages 188-211.
    8. Hahn, Frank, 1982. "The Neo-Ricardians," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 6(4), pages 353-374, December.
    9. Guglielmo Chiodi, 1998. "On Non-self-replacing States," Metroeconomica, Wiley Blackwell, vol. 49(1), pages 97-107, February.
    10. Sen, Amartya K, 1974. "On Some Debates in Capital Theory," Economica, London School of Economics and Political Science, vol. 41(163), pages 328-335, August.
    11. Desai, Meghnad & Ormerod, Paul, 1998. "Richard Goodwin: A Short Appreciation," Economic Journal, Royal Economic Society, vol. 108(450), pages 1431-1435, September.
    12. Peter Newman, 1962. "Production of Commodities by Means of Commodities," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 98(I), pages 58-75, March.
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    Cited by:

    1. Bartholo, R.S. & Cosenza, C.A.N. & Doria, F.A. & de Lessa, C.T.R., 2009. "Can economic systems be seen as computing devices?," Journal of Economic Behavior & Organization, Elsevier, vol. 70(1-2), pages 72-80, May.
    2. K. Vela Velupillai, 2007. "Variations On The Theme Of Conning In Mathematical Economics," Journal of Economic Surveys, Wiley Blackwell, vol. 21(3), pages 466-505, July.

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    More about this item

    Keywords

    Existence Proofs; Constructive Mathematics; Algorithmic Mathematics; Mathematical Economics; Standard System.;
    All these keywords.

    JEL classification:

    • B23 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Econometrics; Quantitative and Mathematical Studies
    • B24 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Socialist; Marxist; Scraffian
    • B31 - Schools of Economic Thought and Methodology - - History of Economic Thought: Individuals - - - Individuals
    • B41 - Schools of Economic Thought and Methodology - - Economic Methodology - - - Economic Methodology
    • B51 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches - - - Socialist; Marxian; Sraffian

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