UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Grades of Discrimination: Indiscernibility, Symmetry, and Relativity

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. Green open access

[img]
Preview
Text
Button_Grades.pdf - Accepted version

Download (320kB) | Preview

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 > 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
Downloads since deposit
4Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item