David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Philosophical Logic 36 (5):539 - 556 (2007)
P.T. Geach has maintained (see, e.g., Geach (1967/1968)) that identity (as well as dissimilarity) is always relative to a general term. According to him, the notion of absolute identity has to be abandoned and replaced by a multiplicity of relative identity relations for which Leibniz's Law - which says that if two objects are identical they have the same properties - does not hold. For Geach relative identity is at least as good as Frege's cardinality thesis which he takes to be strictly connected with relative identity - according to which an ascription of cardinality is always relative to a concept which specifies what, in any particular case, counts as a unit. The idea that there is a close connection between relative identity and Frege's cardinality thesis has been issued again quite recently by Alston and Bennett in (1984). In their opinion, Frege's cardinality thesis is not only similar to relative identity - as Geach maintains - but it implies it. Moreover, they agree with Geach in claiming that a commitment to Frege's cardinality thesis forces a parallel commitment to relative identity. Against Geach, Alston and Bennett we will claim that (Tl): "Frege's cardinality thesis is similar to relative identity" is false and that therefore (T2) "Frege's cardinality thesis implies relative identity" is false as well
|Keywords||ascription of cardinality Frege’s cardinality thesis Leibniz’s law identity|
|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
David Wiggins (2001). Sameness and Substance Renewed. Cambridge University Press.
David Wiggins (1980). Sameness and Substance. Harvard University Press.
P. T. Geach (1962). Reference and Generality. Ithaca, N.Y.,Cornell University Press.
Peter Geach (1957). Mental Acts. Routledge and Kegan Paul.
E. J. Lowe (1989). Kinds of Being: A Study of Individuation, Identity, and the Logic of Sortal Terms. Blackwell.
Citations of this work BETA
Meg Wallace (2011). Composition as Identity: Part 2. Philosophy Compass 6 (11):817-827.
Similar books and articles
William P. Alston & Jonathan Bennett (1984). Identity and Cardinality: Geach and Frege. Philosophical Review 93 (4):553-567.
Daphna Heller & Lynsey Wolter (2011). On Identification and Transworld Identity in Natural Language: The Case of -Ever Free Relatives. [REVIEW] Linguistics and Philosophy 34 (2):169-199.
Fred Feldman & P. T. Geach (1969). Geach and Relative Identity [with Rejoinder and Reply]. Review of Metaphysics 22 (3):547 - 561.
Robert May (2012). What Frege's Theory of Identity is Not. Thought: A Journal of Philosophy 1 (1):41-48.
Dale Jacquette (2011). Frege on Identity as a Relation of Names. Metaphysica 12 (1):51-72.
Patricia Blanchette (1999). Relative Identity and Cardinality. Canadian Journal of Philosophy 29 (2):205 - 223.
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.
Massimiliano Carrara (2009). Relative Identity and the Number of Artifacts. Techne 13 (2):108-122.
P. Garbacz (2004). Subsumption and Relative Identity. Axiomathes 14 (4):341-360.
Added to index2009-01-28
Total downloads58 ( #73,868 of 1,907,145 )
Recent downloads (6 months)1 ( #467,610 of 1,907,145 )
How can I increase my downloads?