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Varieties of Mathematics in Economics

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dc.contributor.author Velupillai, K. Vela en
dc.date.accessioned 2009-10-02T12:06:50Z en
dc.date.available 2009-10-02T12:06:50Z en
dc.date.issued 2007 en
dc.identifier.citation Velupillai, K. V., (2007) "Varieties of Mathematics in Economics" (Working Paper No. 0126) Department of Economics, National University of Ireland, Galway. en
dc.identifier.uri http://hdl.handle.net/10379/328 en
dc.description.abstract Real analysis, founded on the Zermelo-Fraenkel axioms, buttressed by the axiom of choice, is the dominant variety of mathematics utilized in the formalization of economic theory. The accident of history that led to this dominance is not inevitable, especially in an age when the digital computer seems to be ubiquitous in research, teaching and learning. At least three other varieties of mathematics have come to be used in the formalization of mathematics in more recent years. These other varieties, I claim, are more consistent with the intrinsic nature and ontology of economic concepts. In this paper I discuss aspects of the way real analysis dominates the mathematical formalizations of economic theory and the prospects for overcoming this dominance. en
dc.format application/pdf en
dc.language.iso en en
dc.publisher National University of Ireland, Galway en
dc.relation.ispartofseries working papers;0126 en
dc.subject.lcsh Mathematical analysis en
dc.subject.lcsh Economics -- Mathematical models en
dc.subject.lcsh Economics, Mathematical en
dc.title Varieties of Mathematics in Economics en
dc.type Working Paper en
dc.description.peer-reviewed peer-reviewed en

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