David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
One of the relations used with granularity is indistinguishability, where distinguishable entities in a finer-grained granule are indistinguishable in a coarser-grained granule. This relation is a subtype of equivalence relation, which is used in the other direction to create finer-grained granules. Together with the notion of similarity, we formally prove some intuitive properties of the indistinguishability relation for both qualitative and quantitative granularity, that with a given granulation there must be at least two granules (levels of granularity) for it to be granular, and derive a strict order between finer and coarser granules. Based on these results, granulation hierarchy is defined as extra assisting structure to augment implementations.
|Keywords||No keywords specified (fix it)|
No categories specified
(categorize this paper)
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library||
References found in this work BETA
No references found.
Citations of this work BETA
Tad T. Brunyé, Aaron Gardony, Caroline R. Mahoney & Holly A. Taylor (2012). Body-Specific Representations of Spatial Location. Cognition 123 (2):229-239.
Similar books and articles
Vladimir Kanovei (1997). An Ulm-Type Classification Theorem for Equivalence Relations in Solovay Model. Journal of Symbolic Logic 62 (4):1333-1351.
Stevan Harnad (2000). Minds, Machines and Turing: The Indistinguishability of Indistinguishables. Journal of Logic, Language and Information 9 (4):425-445.
Stevan Harnad (2001). Minds, Machines and Turing: The Indistinguishability of Indistinguishables. Philosophical Explorations.
Willem M. Muynck & Gidi P. Liempd (1986). On the Relation Between Indistinguishability of Identical Particles and (Anti)Symmetry of the Wave Function in Quantum Mechanics. Synthese 67 (3):477 - 496.
Pilar Dellunde I. Clavé (2000). On Definability of the Equality in Classes of Algebras with an Equivalence Relation. Studia Logica 64 (3):345-353.
Pilar Dellunde I. Clavé (2000). On Definability of the Equality in Classes of Algebras with an Equivalence Relation. Studia Logica 64 (3):345 - 353.
Added to index2009-01-28
Total downloads14 ( #264,376 of 1,911,680 )
Recent downloads (6 months)2 ( #322,162 of 1,911,680 )
How can I increase my downloads?