Button, T;
(2017)
Grades of Discrimination: Indiscernibility, Symmetry, and Relativity.
Notre Dame Journal of Formal Logic
, 58
(4)
pp. 527-553.
10.1215/00294527-2017-0007.
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Abstract
There are several relations which may fall short of genuine identity, but which behave like identity in important respects. Such grades of discrimination have recently been the subject of much philosophical and technical discussion. This paper aims to complete their technical investigation. Grades of indiscernibility are defined in terms of satisfaction of certain first-order formulas. Grades of symmetry are defined in terms of symmetries on a structure. Both of these families of grades of discrimination have been studied in some detail. However, this paper also introduces grades of relativity, defined in terms of relativeness correspondences. This paper explores the relationships between all the grades of discrimination, exhaustively answering several natural questions that have so far received only partial answers. It also establishes which grades can be captured in terms of satisfaction of object-language formulas and draws connections with definability theory.
| Type: | Article |
|---|---|
| Title: | Grades of Discrimination: Indiscernibility, Symmetry, and Relativity |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1215/00294527-2017-0007 |
| Publisher version: | https://doi.org/10.1215/00294527-2017-0007 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL SLASH UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of Arts and Humanities UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of Arts and Humanities > Dept of Philosophy |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10085872 |
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