Taming the Incomputable, Reconstructing the Nonconstructive and Deciding the Undecidable in Mathematical Economics

Vela Velupillai, K. (2007) Taming the Incomputable, Reconstructing the Nonconstructive and Deciding the Undecidable in Mathematical Economics. UNSPECIFIED.

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    Abstract

    It is natural to claim, as I do in this paper, that the emergence of non-constructivities in economics is entirely due to the formalization of economics by means of .classical.mathematics. I have made similar claims for the emergence of uncomputabilities and undecidabilities in economics in earlier writings. Here, on the other hand, I want to suggest a way of confronting uncomputabilites, and remedying non-constructivities, in economics, and turning them into a positive force for modelling, for example, endogenous growth, as suggested by Stefano Zambelli ([107], [108]). In between, a case is made for economics to take seriously the kind of mathematical methodology fostered by Feynman and Dirac, in particular the way they developed the path integral and the γ function, respectively. A sketch of a .research program.in mathematical economics, analogous to the way Gödel thought incompleteness and its perplexities should be interpreted and resolved, is also outlined in the concluding section.

    Item Type: Departmental Technical Report
    Department or Research center: Economics
    Subjects: H Social Sciences > HB Economic Theory > HB135 Mathematical economics. Quantitative methods
    Additional Information: Pubblicazione registrata presso il Tribunale di Trento.
    Report Number: 22
    Repository staff approval on: 30 Nov 2007

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