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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...
Persistent link: https://www.econbiz.de/10008543363
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
We outline, briefly, the role that issues of the nexus between noncomputability and unpredictability, on the one hand, and between undecidability and un-solvability, on the other, have played in Computable Economics. The mathematical underpinnings of Computable Economics are provided by...
Persistent link: https://www.econbiz.de/10010540770
This is an attempt at a succinct survey, from methodological and epistemological perspectives, of the burgeoning, apparently unstructured, field of what is often – misleadingly – referred to as computational economics. We identify and characterise four frontier research fields, encompassing...
Persistent link: https://www.econbiz.de/10009024778
This is an outline of the origins and development of the way computability theory was incorporated into formal economic theory. I try to place in the context of the development of computable economics, some of the classics of the subject as well as those that have, from time to time, been...
Persistent link: https://www.econbiz.de/10010691592