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.rights | Attribution-NonCommercial-NoDerivs 3.0 Ireland | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ | |
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 |
nui.item.downloads | 821 | |