On the logical foundations of the Jauch-Piron approach to quantum physics
type: Item
instance of: scholarly article
title: On the logical foundations of the Jauch-Piron approach to quantum physics
zbMATH Open document ID: 0661.03051
DOI: 10.1007/BF00671312
author: G. Cattaneo
author: Carlo Dalla Poa
author: Claudio Garola
author: Giuseppe Nisticò
published in: International Journal of Theoretical Physics
publication date: 1988-01-01T00:00:00Z
review text: We make a critical analysis of the basic concepts of the Jauch-Piron (JP) approach to quantum physics. Then, we exhibit a formalized presentation of the mathematical structure of the JP theory by introducing it as a completely formalized syntactic system, i.e., we construct a formalized language \(L_ e\) and formally state the logical-deductive structure of the JP theory by means of \(L_ e\). Finally, we show that the JP syntactic system can be endowed with an intended interpretation, which yields a physical model of the system. A mathematical model endowed with a physical interpretation is given which establishes (in the usual sense of the model theory) the coherence of the JP syntactic system.
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 4079418
zbMATH Keywords: formalized syntactic system
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00671312
OpenAlex ID: W2053835051
description: scientific article; zbMATH DE number 4079418