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

K. Vela Velupillai ()

No 722, Department of Economics Working Papers from Department of Economics, University of Trento, Italia

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 delta-function, respectively. A sketch of a "research program" in mathematical economics, analogous to the way G�del thought incompleteness and its perplexities should be interpreted and resolved, is also outlined in the concluding section.

Date: 2007
New Economics Papers: this item is included in nep-cbe and nep-hpe
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.unitn.it/files/22_07_velupillai.pdf (application/pdf)
Our link check indicates that this URL is bad, the error code is: 403 Forbidden

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:trn:utwpde:0722

Access Statistics for this paper

More papers in Department of Economics Working Papers from Department of Economics, University of Trento, Italia Contact information at EDIRC.
Bibliographic data for series maintained by Luciano Andreozzi ().