Browsing by Author "Velupillai, K. Vela"
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Advanced Computational Complexity Theory from an Elementary Standpoint
Velupillai, K. Vela (National University of Ireland, Galway, 2007)A computable economist's view of the world of computational complexity theory is described. This means the model of computation underpinning theories of computational complexity plays a central role. The emergence of ... 
Production of Commodities by Means of Commodities in a Mathematical Mode
Velupillai, K. Vela (National University of Ireland, Galway, 2006)The claim in this paper is that Sraffa employed a rigorous logic of mathematical reasoning in his book, Production of Commodities by Means of Commodities (PCC), in such a mode that all existence proofs were constructive. ... 
Rereading Jevons's Principles of ScienceInduction Redux
Velupillai, K. Vela (National University of Ireland, Galway, 2007)In this paper I try to substantiate the thesis that Jevons may have been too harsh on the vices of induction and generously optimistic about the virtues of deduction, as discussed, primarily, in his magnum opus, The ... 
Reappraising FixPoint Formalizations of Rational Expectations Equilibria
Velupillai, K. Vela (National University of Ireland, Galway, 2005)The paper begins with a brief introduction to the origins of the tradition of formalizing the determination of a rational expectations equilibrium using topological fix points. It is then suggested that fidelity to the ... 
A Stochastic Complexity Perspective of Induction in Economics and Inference in Dynamics
Velupillai, K. Vela (National University of Ireland, Galway, 2007)Rissanen's fertile and pioneering minimum description length principle (MDL) has been viewed from the point of view of statistical estimation theory, information theory, as stochastic complexity theory  i.e., a computable ... 
Taming the Incomputable, Reconstructing the Nonconstructive and Deciding the Undecidable in Mathematical Economics
Velupillai, K. Vela (National University of Ireland, Galway, 2007)It is natural to claim, as I do in this paper, that the emergence of nonconstructivities in economics is entirely due to the formalizations of economics by means of 'classical' mathematics. I have made similar claims for ... 
Variations on the Theme of Conning in Mathematical Economics
Velupillai, K. Vela (National University of Ireland, Galway, 2006)The mathematization of economics is almost exclusively in terms of the mathematics of real analysis which, in turn, is founded on set theory (and the axiom of choice) and orthodox mathematical logic. In this paper I try ... 
Varieties of Mathematics in Economics
Velupillai, K. Vela (National University of Ireland, Galway, 2007)Real analysis, founded on the ZermeloFraenkel 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 ...