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

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dc.contributor.author Velupillai, K. Vela en
dc.date.accessioned 2010-05-10T13:57:55Z en
dc.date.available 2010-05-10T13:57:55Z en
dc.date.issued 2007 en
dc.identifier.citation 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. en
dc.identifier.uri http://hdl.handle.net/10379/982 en
dc.description.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 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. en
dc.format application/pdf en
dc.language.iso en en
dc.publisher National University of Ireland, Galway en
dc.relation.ispartofseries working papers;0128 en
dc.subject Economics en
dc.title Taming the Incomputable, Reconstructing the Nonconstructive and Deciding the Undecidable in Mathematical Economics en
dc.type Working Paper en
dc.description.peer-reviewed peer-reviewed en

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