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2016 | 25 | 3 Mereology and Beyond (II) | 411-428

Article title

Composition as identity and plural Cantor's theorem

Title variants

Languages of publication

EN

Abstracts

EN
In this paper, I argue that the thesis of Composition as Identity blocks the plural version of Cantor’s Theorem, and that this in turn has implications for our use of Cantor’s theorem in metaphysics. As an example, I show how this result blocks a recent argument by Hawthorne and Uzquiano, and might be turned around to become an abductive argument for Composition as Identity

Year

Volume

25

Pages

411-428

Physical description

Dates

online
2016-05-19

Contributors

  • University of Agder, Kristiansand, Norway

References

  • Baxter, D., and A. Cotnoir (eds.), 2014, Composition as Identity, Oxford University Press. DOI: 10.1093/acprof:oso/9780199669615.001.0001
  • Bohn, E.D., 2014, “Unrestricted composition as identity”, pages 143–165 in [Baxter and Cotnoir, 2014]. DOI: 10.1093/acprof:oso/9780199669615.003.0008
  • Bohn, E.D., 2011, “Commentary on Parts of Classes”, Humana.Mente, 19: 151–158.
  • Bohn, E.D., 2009, “Composition as identity”, PhD dissertation, UMass Amherst.
  • Bricker, P., forthcoming, “Composition as a kind of identity”, Inquiry.
  • Cameron, R., 2012, “Composition as identity doesn’t settle the special composition question”, Philosophy and Phenomenological Research, LXXXIV, 3: 531–554.
  • Cotnoir, A., 2013, “Composition as Generalized Identity”, pages 294–322 in Oxford Studies in Metaphysics, Vol. 8, K. Bennett and D.W. Zimmerman (eds.), Oxford University Press. DOI: 10.1093/acprof:oso/9780199682904.003.0007
  • Florio, S., 2014, “Untyped pluralism”, Mind, 123, 490: 317–337. DOI: 10.1093/mind/fzu069
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  • Geach, P., 1967, “Identity”, Review of Metaphysics, 21, 3: 3–12.
  • Hawley, K., 2013, “Cut the pie anyway you like? Cotnoir on General Identity”, pages 294–322 in Oxford Studies in Metaphysics, Vol. 8, K. Bennett and D.W. Zimmerman (eds.), Oxford University Press. DOI: 10.1093/acprof:oso/9780199682904.003.0008
  • Hawthorne, J., and G. Uzquiano, 2011, “How many angels can dance on the point of a needle? Transcendental theology meets modal metaphysics”, Mind, 120, 477: 53–81. DOI: 10.1093/mind/fzr004
  • Hovda, P., 2014, “Logical considerations on composition as identity”, pages 192–221 in [Baxter and Cotnoir, 2014]. DOI: 10.1093/acprof:oso/9780199669615.003.0010
  • Klement, K.C., 2005, “Russell-Myhill paradox”, The Internet Encyclopedia of Philosophy, April 4, 2013. http://www.iep.utm.edu/par-rusm/
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  • Lewis, D., 1986, On the Plurality of Worlds, Blackwell.
  • McDaniel, K., 2013, “Existence and number”, Analytic Philosophy, 54, 2: 209–228. DOI: 10.1111/phib.12013
  • McDaniel, K., 2010, “Composition as identity does not entail universalism”, Erkenntnis, 73, 1: 97–100. DOI: 10.1007/s10670-009-9207-5
  • Merricks, T., 2003, Objects and Persons, Oxford University Press. DOI: 10.1093/0199245363.001.0001
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  • Rosen, G., 1995, “Armstrong on classes as states of affairs”, Australasian Journal of Philosophy, 73, 4: 613–625. DOI: 10.1080/00048409512346971
  • Saucedo, R., (ms), “Composition as identity and the number of things”.
  • Sider, T., 2007, “Parthood”, Philosophical Review, 116: 51–91. DOI: 10.1215/00318108-2006-022
  • Sider, T., 2014, “Consequences of collapse”, pages 211–221 in [Baxter and Cotnoir, 2014]. DOI: 10.1093/acprof:oso/9780199669615.003.0011
  • Wallace, M., 2011, “Composition as identity. Part 1 and 2”, Philosophy Compass, 6, 11: 804–827.
  • Wallace, M., 2009, “Composition as Identity”, PhD dissertation, University of North Carolina, Chapel Hill.
  • Williamson, T., 2013, Metaphysics as Modal Logic, Oxford University Press. DOI: 10.1093/acprof:oso/9780199552078.001.0001
  • van Inwagen, P., 1994, “Composition as identity”, Philosophical Perspectives, 8: 207–220. DOI: 10.2307/2214171
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  • Yi, Byeong-Uk, 2005, “The logic and meaning of plurals. Part I”, Journal of Philosophical Logic, 34, 5/6: 459–506. DOI: 10.1007/s10992-005-0560-9
  • Yi, Byeong-Uk, 2006, “The logic and meaning of plurals. Part II”, Journal of Philosophical Logic, 35, 3: 239–288. DOI: 10.1007/s10992-005-9015-6

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.desklight-56eade2c-ff86-4d04-936d-3e7009dff28c
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