David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Review of Symbolic Logic 4 (4):607-644 (2011)
There are well-known quasi-formal arguments that identity is a "strict" relation in at least the following three senses: (1) There is a single identity relation and a single distinctness relation; (2) There are no contingent cases of identity or distinctness; and (3) There are no vague or indeterminate cases of identity or distinctness. However, the situation is less clear cut than it at first may appear. There is a natural formal theory of identity that is very close to the standard classical theory but which does not validate the formal analogues of (1)-(3). The core idea is simple: We weaken the Principle of the Indiscernibility of Identicals from a conditional to an entailment and we adopt a weakly classical logic. This paper investigates this weakly classical theory of identity (and related theories) and discusses its philosophical ramications. It argues that we can accept a reasonable theory of identity without committing ourselves to the uniqueness, necessity, or determinacy of identity.
|Keywords||No keywords specified (fix it)|
|Categories||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
Ken Akiba (2004). Vagueness in the World. Noûs 38 (3):407–429.
Ruth C. Barcan (1947). The Identity of Individuals in a Strict Functional Calculus of Second Order. Journal of Symbolic Logic 12 (1):12-15.
Hartry H. Field (2008). Saving Truth From Paradox. Oxford University Press.
Kit Fine (1975). Vagueness, Truth and Logic. Synthese 30 (3-4):265-300.
Saul A. Kripke (1971). Identity and Necessity. In Milton K. Munitz (ed.), Identity and Individuation. New York University Press. 135-164.
Citations of this work BETA
Joshua Schechter (2011). Weakly Classical Theories of Identity. Review of Symbolic Logic 4 (4):607-644.
Similar books and articles
R. Brandt & Jaegwon Kim (1967). The Logic of the Identity Theory. Journal of Philosophy 66 (September):515-537.
Harold W. Noonan (1980). Objects and Identity: An Examination of the Relative Identity Thesis and its Consequences. Distributors for the U.S. And Canada [by] Kluwer Boston.
Ralf M. Bader (2012). The Non-Transitivity of the Contingent and Occasional Identity Relations. Philosophical Studies 157 (1):141-152.
Raymond Tallis (2010). Machine Generated Contents Note: Introduction; 1. Identity of Meaning / Adrian Poole; 2. Identity and the Law / Lionel Bently; 3. Species-Identity / Peter Crane; 4. Mathematical Identity / Marcus Du Sautoy; 5. Immunological Identity / Philippa Marrack; 6. Visualizing Identity / Ludmilla Jordanova; 7. Musical Identity / Christopher Hogwood; 8. Identity and the Mind. [REVIEW] In Giselle Walker & E. S. Leedham-Green (eds.), Identity. Cambridge University Press.
Andrew Brennan (1986). Best Candidates and Theories of Identity. Inquiry 29 (1-4):423-438.
Jean-Yves Beziau (1996). Identity, Structure and Logic. Bulletin of the Section of Logic 25:89-9.
Giselle Walker & E. S. Leedham-Green (eds.) (2010). Identity. Cambridge University Press.
Nicholas J. J. Smith (2008). Why Sense Cannot Be Made of Vague Identity. Noûs 42 (1):1–16.
Deborah C. Smith (2001). Parfit on Personal Identity. Idealistic Studies 31 (2/3):169-181.
Alexander R. Pruss (2012). A Deflationary Theory Of Diachronic Identity. Australasian Journal of Philosophy 90 (1):19 - 37.
Steven Rieber (1998). The Concept of Personal Identity. Philosophy and Phenomenological Research 58 (3):581-594.
Alberto Voltolini (1997). Contingent and Necessary Identities. Acta Analytica 19:73-98.
Charles B. Cross (2011). Brute Facts, the Necessity of Identity, and the Identity of Indiscernibles. Pacific Philosophical Quarterly 92 (1):1-10.
Kai F. Wehmeier (2012). How to Live Without Identity—And Why. Australasian Journal of Philosophy 90 (4):761 - 777.
Added to index2011-09-03
Total downloads64 ( #28,959 of 1,679,297 )
Recent downloads (6 months)8 ( #29,315 of 1,679,297 )
How can I increase my downloads?