David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
History and Philosophy of Logic 32 (2):107 - 118 (2011)
This essay examines an argument of perennial importance against naive Leibnizian absolute identity theory, originating with Ruth Barcan in 1947 (Barcan, R. 1947. ?The identity of individuals in a strict functional 3 calculus of second order?, Journal of Symbolic Logic, 12, 12?15), and developed by Arthur Prior in 1962 (Prior, A.N. 1962. Formal Logic. Oxford: The Clarendon Press), presented here in the form offered by Nicholas Griffin in his 1977 book, Relative Identity (Griffin, N. 1977. Relative Identity. Oxford: The Clarendon Press). The objection considers the property of being necessarily identical to a specific object a as a counterexample to Leibnizian identity conditions, and more particularly to the indiscernibility of identicals, when it is only contingently true that a=b. The inquiry eliminates necessity and reference to a specifically designated object as responsible for the counterexample, leaving only identity. The requirements for an exact reinterpretation of Leibniz's Law in light of counterexamples involving converse intentional properties and the family of properties suggested by the property of being necessarily identical to a where a=b (or an equivalent definite descriptor variation) is only logically contingently true, are formalized in a more powerful, counterexample-resistant version of Leibniz's Law that does not succumb to relative identity as a necessary alternative motivated by desperation over the failure of the absolute identity principle
|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
Ruth C. Barcan (1947). The Identity of Individuals in a Strict Functional Calculus of Second Order. Journal of Symbolic Logic 12 (1):12-15.
H. P. Barendregt (1984). The Lambda Calculus: Its Syntax and Semantics. Sole Distributors for the U.S.A. And Canada, Elsevier Science Pub. Co..
Nicholas Griffin (1977). Relative Identity. Clarendon Press.
Dale Jacquette (1986). Intentionality and Intensionality. The Monist 69 (4):598-608.
Citations of this work BETA
No citations found.
Similar books and articles
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.
Dale Jacquette (2006). Bocheński on Property Identity and the Refutation of Universals. Journal of Philosophical Logic 35 (3):293 - 316.
Massimiliano Carrara & Elisabetta Sacchi (2007). Cardinality and Identity. Journal of Philosophical Logic 36 (5):539 - 556.
Massimiliano Carrara (2009). Relative Identity and the Number of Artifacts. Techne 13 (2):108-122.
Charles B. Cross (2011). Brute Facts, the Necessity of Identity, and the Identity of Indiscernibles. Pacific Philosophical Quarterly 92 (1):1-10.
Joshua Spencer (2013). Strong Composition as Identity and Simplicity. Erkenntnis 78 (5):1177-1184.
P. Garbacz (2004). Subsumption and Relative Identity. Axiomathes 14 (4):341-360.
Alessandro Torza (2012). 'Identity' Without Identity. Mind 121 (481):67-95.
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.
Kathinka Evers (1999). The Identity of Clones. Journal of Medicine and Philosophy 24 (1):67 – 76.
Chang Seong Hong (1998). Natural Kinds and the Identity of Property. Teorema 17 (1):89-98.
Joshua Schechter (2011). Weakly Classical Theories of Identity. Review of Symbolic Logic 4 (4):607-644.
Giselle Walker & E. S. Leedham-Green (eds.) (2010). Identity. Cambridge University Press.
Dale Jacquette (1990). A Fregean Solution to the Paradox of Analysis. Grazer Philosophische Studien 37:59-73.
Dietmar von der Pfordten (2009). Absolute Identity/Unity. Review of Metaphysics 62 (4):803-818.
Added to index2011-05-12
Total downloads21 ( #96,042 of 1,692,589 )
Recent downloads (6 months)1 ( #181,202 of 1,692,589 )
How can I increase my downloads?