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Taming the Incomputable, Reconstructing the Nonconstructive and Deciding the Undecidable in Mathematical Economics |
Velupillai, K. Vela
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It is natural to claim, as I do in this paper, that the emergence of non-constructivities in economics is entirely due to the formalizations 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 uncomputabilities, and remedying non-constructivities, in economics, and turning them into a positive force for modelling, for example, endogenous growth, as suggested by Stefano Zambelli. In between, a case is made for economics to take seriously the kind of mathematical modelling fostered by Feynman and Dirac, in particular the way they developed the path integral and the ?- 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.
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Keyword(s):
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Economics |
Publication Date:
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2007 |
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Type:
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Working paper |
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Peer-Reviewed:
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Yes |
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Language(s):
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English |
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Institution:
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NUI Galway |
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Citation(s):
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Velupillai, K. V., (2007) "Taming the Incomputable, Reconstructing the Nonconstructive and Deciding the Undecidable in Mathematical Economics" (Working Paper No. 0128) Department of Economics, National University of Ireland, Galway. |
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Publisher(s):
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National University of Ireland, Galway |
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File Format(s):
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application/pdf |
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First Indexed:
2010-05-11 11:10:35 Last Updated:
2010-11-26 09:21:02 |
