Showing 1 - 9 of 9
In this paper I attempt to make a case for promoting the courage of rebels within the citadels of orthodoxy in academic research environments. Wicksell in Macroeconomics, Brouwer in the Foundations of Mathematics, Turing in Computability Theory, Sraffa in the Theories of Value and Distribution...
Persistent link: https://www.econbiz.de/10009350664
The first appearance of a reference to a Bourbaki mathematical result was the spoof by D.D. Kosambi, published in the first volume of the Bulletin of the Academy of Sciences of the United Provinces of Agra and Oudh, eighty years ago, although it was not the first reference to Bourbaki in a...
Persistent link: https://www.econbiz.de/10009421512
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...
Persistent link: https://www.econbiz.de/10008543395
A constructive and recursion theoretic analysis of the standard Computable General Equilibrium (CGE) model of economic theory is undertaken. It is shown, contrary to widely expressed views and textbook versions of the CGE model, that the standard CGE model is neither computable nor constructive...
Persistent link: https://www.econbiz.de/10008543400
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 way that the existence proofs were constructive. This is the kind of mathematics that was prevalent at the beginning of the...
Persistent link: https://www.econbiz.de/10005187033
Frank Ramsey's classic framing of the dynamics of optimal savings, [51] as one to be solved as a problem in the calculus of variations and Ragnar Frisch's imaginative invoking of a felicitous Wicksellian metaphor to provide the impulse-propagation dichotomy, in a stochastic dynamic framework,...
Persistent link: https://www.econbiz.de/10005187055
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 to point out that this kind of mathematization is replete with economic...
Persistent link: https://www.econbiz.de/10005187104
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 way that the existence proofs were constructive. This is the kind of mathematics that was prevalent at the beginning of the...
Persistent link: https://www.econbiz.de/10005496101
Persistent link: https://www.econbiz.de/10005628793