Erkenntnis 80 (1):117-135 (2015)

Tomasz Bigaj
University of Warsaw
This paper addresses the issue of the multiplicity of various grades of discernibility that can be defined in model theory. Building upon earlier works on the subject, I first expand the known logical categorizations of discernibility by introducing several symmetry-based concepts of discernibility, including one I call “witness symmetry-discernibility”. Then I argue that only grades of discernibility stronger than this one possess certain intuitive features necessary to individuate objects. Further downsizing of the set of non-equivalent grades of discernibility can be achieved by stipulating that any relation of discernibility should be applied only to those pairs of objects which have been previously distinguished from the rest of the universe. Restricting discernibility to pairs of objects satisfying this condition gives an additional bonus in the form of restoring the transitivity of some types of indiscernibility which have been known to be non-transitive.
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DOI 10.1007/s10670-014-9616-y
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References found in this work BETA

Are Quantum Particles Objects?Simon Saunders - 2006 - Analysis 66 (1):52-63.
Discerning Fermions.Simon Saunders & F. A. Muller - 2008 - British Journal for the Philosophy of Science 59 (3):499 - 548.
Quantum Physics and the Identity of Indiscernibles.Steven French & Michael Redhead - 1988 - British Journal for the Philosophy of Science 39 (2):233-246.

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Citations of this work BETA

Identity and Individuality in Quantum Theory.Steven French - 2008 - Stanford Encyclopedia of Philosophy.
Exchanging Quantum Particles.Tomasz Bigaj - 2015 - Philosophia Scientae 19:185-198.

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