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10 juin 2014
- handle: 10670/1.91bmwr
- hal: hal-01003869
info:eu-repo/semantics/OpenAccess
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system model Hilbert phase observable epistemology A - General Economics and Teaching/A.A1 - General Economics/A.A1.A10 - General C - Mathematical and Quantitative Methods/C.C1 - Econometric and Statistical Methods and Methodology: General -ph] -ph] -fin]/Statistical Finance [q-fin.ST]Sujets proches
Natural philosophy Philosophy, Natural Funds Funding Finance, commerce, confiscations, etcCiter ce document
Jean Claude Dutailly, « Common structures in scientific theories », HAL-SHS : économie et finance, ID : 10670/1.91bmwr
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Résumé
The existence of common structures in physics and computer sciences theories has become an active field of research. In the present paper the scope is enlarged, in particular in Economics, to any theory which is formalized in quantitative models meeting some precise but general conditions. The first section is dedicated to characterize the main components of any scientific theory, using the concepts of epistemology, and puts in prominent positions models, association of objects with properties which are represented by quantitative variables. In a second section we show that a large class of models can be represented in Hilbert spaces. In this framework we precise the concepts of observables, with its relation with measures, and develop several tools to characterize the evolution of systems, interacting systems and phases transitions.