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Author = Velupillai, K. Vela.;
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Displaying Results 1  2 of 2 on page 1 of 1
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A Primer on the Tools and Concepts of Comutable Economics.?
(2010)
Velupillai, K. Vela.
A Primer on the Tools and Concepts of Comutable Economics.?
(2010)
Velupillai, K. Vela.
Abstract:
Computability theory came into being as a result of Hilbert s attempts to meet Brouwer s challenges, from an intuitionistc and constructive standpoint, to formalism as a foundation for mathematical practice. Viewed this way, con structive mathematics should be one vision of computability theory. However, there are fundamental diÂ¤erences between computability theory and construc tive mathematics: the ChurchTuring thesis is a disciplining criterion in the former and not in the latter; and classical logic  particularly, the law of the excluded middle  is not accepted in the latter but freely invoked in the former, especially in proving universal negative propositions. In Computable Economics an eclectic approach is adopted where the main criterion is numerical content for economic entities. In this sense both the computable and the constructive traditions are freely and indiscriminately invoked and utilised in the formaliza tion of economic entities. Some of the mathematical met...
http://hdl.handle.net/10379/1033
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The Unreasonable Ineffectiveness of Mathematics in Economics.
(2010)
Velupillai, K. Vela.
The Unreasonable Ineffectiveness of Mathematics in Economics.
(2010)
Velupillai, K. Vela.
Abstract:
In this paper I attempt to show that mathematical economics is unreasonably ineffective. Unreasonable, because the mathematical assumptions are economically unwarranted; ineffective because the mathematical formalizations imply nonconstructive and uncomputable structures. A reasonable and effective mathematization of economics entails Diophantine formalisms. These come with natural undecidabilities and uncomputabilites. In the face of this, I conjecture that an economics for the future will be freer to explore experimental methodologies underpinned by alternative mathematical structures. The whole discussion is framed within the context of the celebrated Wignerian theme: The Unreasonable Effectiveness of Mathematics in the Natural Sciences.
http://hdl.handle.net/10379/1108
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