Authors
Décio Krause
University of São Paulo (PhD)
Abstract
In this work we discuss logical structures related to indistinguishable particles. Most of the framework used to develop these structures was presented in [17, 28] and in [20, 14, 15, 16]. We use these structures and constructions to discuss possible ontologies for identical particles. In other words, we use these structures in order to characterize the logical structure of quantum systems for the case of indistinguishable particles, and draw possible philosophical implications. We also review some proposals available in the literature which may be considered within the framework of the quantum logical tradition regarding the problem of indistinguishability. Besides these discussions and constructions, we advance novel technical results, namely, a lattice theoretical structure for identical particles for the finite dimensional case. This kind of approach was not present in the scarcely literature of quantum logic and indistinguishable particles.
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References found in this work BETA

Discerning Fermions.Simon Saunders & F. A. Muller - 2008 - British Journal for the Philosophy of Science 59 (3):499 - 548.
Remarks on the Theory of Quasi-Sets.Steven French & Décio Krause - 2010 - Studia Logica 95 (1-2):101 - 124.
Particle Labels and the Theory of Indistinguishable Particles in Quantum Mechanics.Michael Redhead & Paul Teller - 1992 - British Journal for the Philosophy of Science 43 (2):201-218.
Understanding Permutation Symmetry.Steven French & Dean Rickles - 2003 - In Katherine Brading & Elena Castellani (eds.), Symmetries in Physics: Philosophical Reflections. Cambridge University Press. pp. 212--38.
Logical Aspects of Quantum (Non-)Individuality.Décio Krause - 2010 - Foundations of Science 15 (1):79-94.

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