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Taming the Incomputable, Reconstructing the Nonconstructive and Deciding the Undecidable in Mathematical Economics
Velupillai, K. Vela
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.
Keyword(s): Economics
Publication Date:
2007
Type: Working paper
Peer-Reviewed: Yes
Language(s): English
Institution: NUI Galway
Citation(s): 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.
Publisher(s): National University of Ireland, Galway
File Format(s): application/pdf
First Indexed: 2010-05-11 11:10:35 Last Updated: 2010-11-26 09:21:02