Common structures in scientific theories

Jean Claude Dutailly ()
Additional contact information
Jean Claude Dutailly: Chercheur indépendant

Working Papers from HAL

Abstract: 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.

Keywords: system; model; Hilbert; phase; observable; epistemology (search for similar items in EconPapers)
Date: 2014-06-10
Note: View the original document on HAL open archive server: https://hal.science/hal-01003869
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://hal.science/hal-01003869/document (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hal:wpaper:hal-01003869

Access Statistics for this paper

More papers in Working Papers from HAL
Bibliographic data for series maintained by CCSD ().