The Paradox of Identity
|Abstract||Call a semantics for singular terms *extensionalist* if it embraces (1) and *classical* if it embraces (2). 1. The meaning of a singular term is exhausted by its reference. 2. The reference of a singular term is an entity that is logically simple. Call a semantics *adequate* if it distinguishes material identity (a = b) from formal identity (a = a). Frege reacts to the inadequacy of classical extensionalist semantics by rejecting (1). This he does without a sideways glance at (2), whose background ontology, an "ontology of individuals" (van Heijenoort's term), Frege implicitly accepts. In contrast, my account of the difference between material and formal identity replaces that background ontology with one whose ground-level objects are ontologically differentiated and logically complex. The semantics I urge for singular terms, while *extensionalist* in the sense of (1), is thus a non-classical semantics in which singular terms take structured individuals, or complexes (as I will say), as their referents. For such individuals, unlike those of Frege's ontology, keep a = b and a = a apart.|
|Keywords||material identity formal identity Frege names meaning reference semantic extensionalism complex individuals ontology|
|Categories||categorize this paper)|
|External links||This entry has no external links. Add one.|
|Through your library||Configure|
Similar books and articles
Roger Wertheimer (1999). Identity Syntax. In T. Rockmore (ed.), Proceedings of the 20th World Congress of Philosophy, Vol II Metaphysics. Philosophy Document Center.
Stavroula Glezakos (2009). Can Frege Pose Frege's Puzzle? In Joseph Almog & Paolo Leonardi (eds.), The Philosophy of David Kaplan. Oxford University Press.
Matthias Schirn (1995). Frege y los nombres de cursos de valores. Theoria 10 (1):109-133.
Matthias Schirn (1994). Frege Y Los Nombres de Cursos de Valores. Theoria 9 (2):109-133.
Massimiliano Carrara & Elisabetta Sacchi (2007). Cardinality and Identity. Journal of Philosophical Logic 36 (5):539 - 556.
John Justice (2007). Unified Semantics of Singular Terms. Philosophical Quarterly 57 (228):363–373.
Susana Nuccetelli (2001). 'Latinos', 'Hispanics', and 'Iberoamericans': Naming or Describing? Philosophical Forum 32 (2):175–188.
Dale Jacquette (2011). Frege on Identity as a Relation of Names. Metaphysica 12 (1):51-72.
Added to index2009-04-21
Total downloads18 ( #74,484 of 722,813 )
Recent downloads (6 months)0
How can I increase my downloads?