A discussion on quantum non-individuality

Journal of Applied Non-Classical Logics 22 (1-2):105-124 (2012)
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Abstract

In this paper we consider the notions of structure and models within the semantic approach to theories. To highlight the role of the mathematics used to build the structures which will be taken as the models of theories, we review the notion of mathematical structure and of the models of scientific theories. Then, we analyse a case-study and argue that if a certain metaphysical view of quantum objects is adopted, one seeing them as non-individuals, then there would be strong reasons to ask for a different mathematical framework for describing the structures that would be the models of the corresponding theory. In departing from the standard frameworks (those worked on within standard mathematics), we hope to bring to the scene, within the scope of the semantic approach, the importance of paying attention to some fundamental concepts usually only superficially touched by philosophers of science (if touched).

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Author Profiles

Décio Krause
Federal University of Santa Catarina
Décio Krause
Universidade Federal de Santa Catarina
Jonas R. B. Arenhart
Universidade Federal de Santa Catarina

References found in this work

The scientific image.C. Van Fraassen Bas - 1980 - New York: Oxford University Press.
The Scientific Image.William Demopoulos & Bas C. van Fraassen - 1982 - Philosophical Review 91 (4):603.
The philosophy of quantum mechanics.Max Jammer - 1974 - New York,: Wiley. Edited by Max Jammer.
The Structure of scientific theories.Frederick Suppe (ed.) - 1974 - Urbana,: University of Illinois Press.
Identity in physics: a historical, philosophical, and formal analysis.Steven French & Decio Krause - 2006 - New York: Oxford University Press. Edited by Decio Krause.

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