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

Authors
Décio Krause
Federal University of Santa Catarina
Décio Krause
Universidade Federal de Santa Catarina
Jonas R. B. Arenhart
Universidade Federal de Santa Catarina
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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DOI 10.1080/11663081.2012.682447
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References found in this work BETA

The Scientific Image.C. Van Fraassen Bas - 1980 - Oxford University Press.
The Scientific Image.William Demopoulos & Bas C. van Fraassen - 1982 - Philosophical Review 91 (4):603.
The Scientific Image.Michael Friedman - 1982 - Journal of Philosophy 79 (5):274-283.
The Structure of Scientific Theories.Frederick Suppe (ed.) - 1974 - Urbana, University of Illinois Press.

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Citations of this work BETA

Semantic Analysis of Non-Reflexive Logics.J. R. B. Arenhart - 2014 - Logic Journal of the IGPL 22 (4):565-584.

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