David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Review of Symbolic Logic 5 (1):162-186 (2012)
Questions about the relation between identity and discernibility are important both in philosophy and in model theory. We show how a philosophical question about identity and dis- cernibility can be ‘factorized’ into a philosophical question about the adequacy of a formal language to the description of the world, and a mathematical question about discernibility in this language. We provide formal definitions of various notions of discernibility and offer a complete classification of their logical relations. Some new and surprising facts are proved; for instance, that weak dis- cernibility corresponds to discernibility in a language with constants for every object, and that weak discernibility is the most discerning nontrivial discernibility relation
|Keywords||structuralism discernibility identity|
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References found in this work BETA
D. M. Armstrong (1978). Universals and Scientific Realism. Cambridge University Press.
Alan Baker (2003). Quantitative Parsimony and Explanatory Power. British Journal for the Philosophy of Science 54 (2):245-259.
Max Black (1952). The Identity of Indiscernibles. Mind 61 (242):153-164.
John P. Burgess (1999). Book Review: Stewart Shapiro. Philosophy of Mathematics: Structure and Ontology. [REVIEW] Notre Dame Journal of Formal Logic 40 (2):283-291.
Adam Caulton & Jeremy Butterfield (2012). On Kinds of Indiscernibility in Logic and Metaphysics. British Journal for the Philosophy of Science 63 (1):27-84.
Citations of this work BETA
Øystein Linnebo & F. A. Muller (2013). On Witness-Discernibility of Elementary Particles. Erkenntnis 78 (5):1133-1142.
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