Composition, Identity and Cardinality
DOI:
https://doi.org/10.22370/rhv2020iss16pp17-40Keywords:
whole, parts, unity, plurals, indiscernibility of identicals, ontological innocence, ontological commitmentAbstract
In this article I attempt to give an account of the thesis according to which composition is identity and of the criticisms that might be formulated against it. According to a weak version of the thesis, composition, in virtue of being analogous in important respects to identity, is as ontologically innocent as identity. According to the strong version of the thesis, composition is literally a species of the generic relation of identity, and is as ontologically innocent as any species of identity. As we will see, the weak version begs the question or incurs in a non sequitur; and the strong version is incoherent and faces a dilemma. Thus, composition is not identity: one thing cannot be identical to many things.
References
Alston, W. y J. Bennett (1984). Identity and cardinality: Geach and Frege. Philosophical Review, 93, 553-567. https://doi.org/10.2307/2184827
Armstrong, D. M. (1997). A World of States of Affairs. Cambridge: Cambridge University Press. https://doi.org/10.1017/CBO9780511583308
Baxter, D. L. M. (1988). Many-one identity. Philosophical Papers, 17, 193-216. https://doi.org/10.1080/05568648809506300
Baxter, D. L. M. (2014). Identity, discernibility, and composition. En A. J. Cotnoir y D. L. M. Baxter (eds.), Composition as Identity, pp. 244-253. Oxford: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199669615.001.0001
Black, M. (1952). The identity of indiscernibles. Mind, 61, 153-164. https://doi.org/10.1093/mind/LXI.242.153
Bohn, E. (2014). Unrestricted composition as identity. En A. J. Cotnoir y D. L. M. Baxter (eds.), Composition as Identity, pp. 143-165. Oxford: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199669615.001.0001
Boolos, G. (1984). To be is to be a value of a variable (or to be some values of some variables). The Journal of Philosophy, 81, 430-449. https://doi.org/10.2307/2026308
Bricker, P. (2016). Composition as a kind of identity. Inquiry: An Interdisciplinary Journal of Philosophy, 59, 264-294. https://doi.org/10.1080/0020174X.2015.1040447
Della Rocca, M. (2012). Rationalism, idealism, monism, and beyond. En E. Förster y Y. Melamed (eds.), Spinoza and German Idealism, pp. 7-26. Cambridge: Cambridge University Press. https://doi.org/10.1017/CBO9781139135139.002
Fine, K. (1994). Essence and modality. Philosophical Perspectives, 8, 1-16. https://doi.org/10.2307/2214160
Fine, K. (2009). The question of ontology. En D. Chalmers, D. Manley, y R. Wasserman (eds.), Metametaphysics: New Essays on the Foundations of Ontology, pp. 157-177. Oxford: Clarendon Press.
Frege, G. (1960). Translations from the Philosophical Writings of Gottlob Frege, eds. P. Geach y M. Black. Oxford: Basil Blackwell.
Frege, G. (1980). The Foundations of Arithmetic. Austin. Oxford: Basil Blackwell.
Geach, P. (1967). Identity. The Review of Metaphysics, 21: 3-12. https://doi.org/10.2307/20124493
Koslicki, K. (2008). The Structure of Objects. Oxford: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199539895.001.0001
Lewis, D. (1986). On the Plurality of Worlds. Oxford: Basil Blackwell.
Lewis, D. (1991). Parts of Classes. Oxford: Basil Blackwell.
Mason, H. T. (ed.) (1967). The Leibniz-Arnauld Correspondence. Manchester: Manchester University Press.
McDaniel, K. (2008). Against composition as identity. Analysis, 68, 128-133. https://doi.org/10.1093/analys/68.2.128
McDaniel, K. (2013). Existence and number. Analytic Philosophy, 54, 209-228. https://doi.org/10.1111/phib.12013
McGinn, C. (2000). Logical Properties. Oxford: Clarendon Press. https://doi.org/10.1093/0199241813.001.0001
Merricks, T. (1999). Composition as identity, mereological essentialism, and counterpart theory. Australasian Journal of Philosophy, 77, 192-195. https://doi.org/10.1080/00048409912348931
Perry, J. (1970). The same F. The Philosophical Review, 79, 181-200. https://doi.org/10.2307/2183947
Perry, J. (1978). Relative identity and relative number. The Canadian Journal of Philosophy, 7: 1-14. https://doi.org/10.1080/00455091.1978.10716204
Platón (1988). Diálogos V: Parménides, Teeteto, Sofista, Político. Madrid: Gredos.
Priest, G. (2011). Beyond the Limits of Thought. Oxford: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199254057.001.0001
Rosen, G. y C. Dorr (2002). Composition as a fiction. En R. Gale (ed.), The Blackwell Guide to Metaphysics, pp. 151-174. Oxford: Basil Blackwell. https://doi.org/10.1002/9780470998984.ch8
Russell, B. (2010). Principles of Mathematics. London: Routledge.
Schaffer, J. (2007). From nihilism to monism. Australasian Journal of Philosophy, 85, 175-191. https://doi.org/10.1080/00048400701343150
Schaffer, J. (2010a). Monism: the priority of the whole. Philosophical Review, 119, 31-76. https://doi.org/10.1215/00318108-2009-025
Schaffer, J. (2010b). The internal relatedness of all things. Mind, 119, 341-376. https://doi.org/10.1093/mind/fzq033
Sider, T. (2001). Four-Dimensionalism: An Ontology of Persistence and Time. Oxford: Clarendon Press. https://doi.org/10.1093/019924443X.001.0001
Sider, T. (2013). Against parthood. En K. Bennett y D. Zimmerman (eds.), Oxford Studies in Metaphysics 8, pp. 237-293. Oxford: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199682904.003.0006
Sider, T. (2014). Consequences of collapse. En A. J. Cotnoir y D. L. M. Baxter (eds.), Composition as Identity, pp. 211-221. Oxford: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199669615.001.0001
Simons, P. (1987). Parts: A Study in Ontology. Oxford: Clarendon Press.
Turner, J. (2014). Donald Baxter’s composition as identity. En A. J. Cotnoir y D. L. M. Baxter (eds.), Composition as Identity, pp. 225-243. Oxford: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199669615.001.0001
van Inwagen, P. (1994). Composition as identity. Philosophical Perspectives, 8, 207-220. https://doi.org/10.2307/2214171
van Inwagen, P. (2002). The number of things. Philosophical Issues, 12, 176-196. https://doi.org/10.1111/j.1758-2237.2002.tb00066.x
Wallace, M. (2011a). Composition as identity: I. Philosophy Compass, 6, 804-816. https://doi.org/10.1111/j.1747-9991.2011.00431.x
Wallace, M. (2011b). Composition as identity: II. Philosophy Compass, 6, 817-827. https://doi.org/10.1111/j.1747-9991.2011.00430.x
Wiggins, D. (2016). Continuants: Their Activity, Their Being and Their Identity. Oxford: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780198716624.001.000
Yi, B.-U. (1999a). Is mereology ontologically innocent? Philosophical Studies, 93, 141-160. https://doi.org/10.1023/A:1004274912342
Yi, B.-U. (1999b). Is two a property? The Journal of Philosophy, 96, 163-190. https://doi.org/10.2307/2564701
Yi, B.-U. (2005). The logic and meaning of plurals: part I. Journal of Philosophical Logic, 34: 459-506. https://doi.org/10.1007/s10992-005-0560-9
Yi, B.-U. (2006). The logic and meaning of plurals: part II. Journal of Philosophical Logic, 35, 239-288. https://doi.org/10.1007/s10992-005-9015-6
Yi, B.-U. (2014). Is there a plural object? En A. J. Cotnoir y D. L. M. Baxter (eds.), Composition as Identity, pp. 169-191. Oxford: Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199669615.003.0009
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication, with the work after publication simultaneously licensed under a Creative Commons Attribution License (CC BY-NC-ND 4.0 International) that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).