MATHEMATICS AND ECONOMICS

Boyko Atanasov and Plamen Iliev ()
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Plamen Iliev: University of Economics - Varna

An Annual Book of University of Economics - Varna, 2009, vol. 81, issue 1, 21-75

Abstract: In the study there are drawn and discussed some issues, connected with the rationalization of thenature and process of mathematical cognition with respect to the following: the subject and peculiaritiesof mathematics, the kinds of abstraction in mathematics, the methods of idealization, formalizationand axiomatization. There is presented the specific role of the practice in the development ofmathematics, the criteria for the genuineness of mathematical knowledge, some objective laws in thehistorical development of mathematics.Special treatment is given to the mathematization of natural sciences and the practice as one ofthe leading tendencies in the development of contemporary science. There is put forward the idea, thatthe main cause for the process of mathematization is found above all in the qualitative growth inscientific knowledge. Of course the reason for the possibility to apply mathematics is hidden also inthe development of mathematics itself, the latter offering adaptive mathematical mechanism, capable of studying quantitative interdependencies in the new spheres of the real world.There is made an attempt at drawing the factors and possibilities for applying the mathematical tools in economics. There is emphasized the fact, that the need for specific study tools within economics itself as scientific knowledge calls for the intensive use of mathematics in economic theory.The study pays particular attention to the need to build, test and use economic-mathematical models at the current stage of the economic development, characterized above all by the transition tothe knowledge economy. In this context, in the study there is made an attempt, on the basis of theresults that have been achieved, to outline the new concept of the role and place of economic-mathematical models in the system of theoretical and applied economic research, broadening thetraditional views on the mathematical model as a tool for economic analysis.

Keywords: mathematical cognition; economic-mathematical models; mathematics in economic theory; adaptive mathematical mechanism; theoretical and applied economic research (search for similar items in EconPapers)
JEL-codes: C02 (search for similar items in EconPapers)
Date: 2009
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