<!DOCTYPE html><HTML lang="en"> <head><meta charset="utf-8"> <title>McGrath (Matthew) - Four-Dimensionalism and the Puzzles of Coincidence (Theo Todman's Book Collection - Paper Abstracts) </title> <link href="../../TheosStyle.css" rel="stylesheet" type="text/css"><link rel="shortcut icon" href="../../TT_ICO.png" /></head> <BODY> <CENTER> <div id="header"><HR><h1>Theo Todman's Web Page - Paper Abstracts</h1><HR></div><A name="Top"></A> <TABLE class = "Bridge" WIDTH=950> <tr><th><A HREF = "../../PaperSummaries/PaperSummary_18/PaperSummary_18378.htm">Four-Dimensionalism and the Puzzles of Coincidence</A></th></tr> <tr><th><A HREF = "../../Authors/M/Author_McGrath (Matthew).htm">McGrath (Matthew)</a></th></tr> <tr><th>Source: Zimmerman (Dean), Ed. - Oxford Studies in Metaphysics: Volume 3</th></tr> <tr><th>Paper - Abstract</th></tr> </TABLE> </CENTER> <P><CENTER><TABLE class = "Bridge" WIDTH=600><tr><td><A HREF = "../../PaperSummaries/PaperSummary_18/PaperSummary_18378.htm">Paper Summary</A></td><td><A HREF = "../../PaperSummaries/PaperSummary_18/PapersToNotes_18378.htm">Notes Citing this Paper</A></td><td><A HREF="#ColourConventions">Text Colour-Conventions</a></td></tr></TABLE></CENTER></P> <hr><P><FONT COLOR = "0000FF"><u>Author s Introduction</u><FONT COLOR = "800080"><ol type="1"><li>Often cited in defense of four-dimensionalism about the persistence of material objects is its treatment of the so-called <em>puzzles of coincidence</em>. These puzzles include the statue/lump, the <a name="1"></a><A HREF="../../Notes/Notes_0/Notes_44.htm">ship of Theseus</A><SUP>1</SUP>, <a name="2"></a><A HREF="../../Notes/Notes_11/Notes_1169.htm">Tibbles the cat</A><SUP>2</SUP> and the various fission and fusion puzzles in the personal identity literature. In their original versions, the puzzles involve changes which either seem to produce or terminate coincidence between material objects (the lump is flattened, the cat s tail is cut off, etc.), but each of the puzzles also has a <a name="3"></a><A HREF="../../Notes/Notes_1/Notes_121.htm">modal</A><SUP>3</SUP> variant in which the relevant change could have occurred but does not. Four-dimensionalists (4Dists) standardly take themselves to have an edge over three-dimensionalists (3Dists) in the treatment of these puzzles. They claim that the original puzzles are answered easily and painlessly under 4Dism, and that their <a name="4"></a><A HREF="../../Notes/Notes_1/Notes_121.htm">modal</A><SUP>4</SUP> variants can be answered by something like counterpart theory. By <U><A HREF="#On-Page_Link_P18378_5">contrast</A></U><SUB>5</SUB><a name="On-Page_Return_P18378_5"></A>, they claim, 3Dists have no easy way with the originals, and no better way with the <a name="5"></a><A HREF="../../Notes/Notes_1/Notes_121.htm">modal</A><SUP>6</SUP> variants. </li><li>My aim here is to determine whether this is correct. I will argue that it is not, and that the puzzles are every bit as challenging for the 4Dist as they are for the 3Dist. In a final section, I will tentatively suggest that reflecting on the puzzles may provide a reason to reject 4Dism. </li></ol></FONT><hr><FONT COLOR = "0000FF"><B>Comment: </B><BR><BR>Part III: Coincident Objects and Temporal Parts<BR><BR><HR><BR><U><B>In-Page Footnotes</U></B><a name="On-Page_Link_P18378_5"></A><BR><BR><U><A HREF="#On-Page_Return_P18378_5"><B>Footnote 5</B></A></U>: McGrath has a footnote to the effect that both 4Dists and 3Dists are in agreement, and quotes the following:- <ul type="disc"><li><a name="6"></a>"<A HREF = "../../Abstracts/Abstract_02/Abstract_2011.htm">Burke (Michael) - Preserving the Principle of One Object to a Place: A Novel Account of the Relations Amongst Objects, Sorts, Sortals, and Persistence Conditions</A>",</li><li><a name="13"></a>"<A HREF = "../../BookSummaries/BookSummary_01/BookPaperAbstracts/BookPaperAbstracts_1345.htm">Hawley (Katherine) - How Things Persist</A>", </li><li><a name="14"></a>"<A HREF = "../../BookSummaries/BookSummary_00/BookPaperAbstracts/BookPaperAbstracts_31.htm">Heller (Mark) - The Ontology of Physical Objects: Four-Dimensional Hunks of Matter</A>", </li><li><a name="7"></a>"<A HREF = "../../Abstracts/Abstract_05/Abstract_5322.htm">Heller (Mark) - Temporal Overlap Is Not Coincidence</A>", </li><li><a name="8"></a>"<A HREF = "../../Abstracts/Abstract_00/Abstract_113.htm">Lewis (David) - Survival and Identity</A>", </li><li><a name="15"></a>"<A HREF = "../../BookSummaries/BookSummary_00/BookPaperAbstracts/BookPaperAbstracts_637.htm">Lewis (David) - On the Plurality of Worlds</A>", </li><li><a name="16"></a>"<A HREF = "../../BookSummaries/BookSummary_00/BookPaperAbstracts/BookPaperAbstracts_40.htm">Noonan (Harold) - Personal Identity</A>", </li><li><a name="9"></a>"<A HREF = "../../Abstracts/Abstract_02/Abstract_2016.htm">Rea (Michael) - Material Constitution: Preface, Introduction & Appendix (A Formal Statement of the Problem)</A>", </li><li><a name="10"></a>"<A HREF = "../../Abstracts/Abstract_05/Abstract_5990.htm">Rea (Michael) - Supervenience and Co-Location</A>", Section 4  more sceptical,</li><li><a name="11"></a>"<A HREF = "../../Abstracts/Abstract_05/Abstract_5125.htm">Sider (Ted) - All the World's a Stage</A>", </li><li><a name="12"></a>"<A HREF = "../../Abstracts/Abstract_04/Abstract_4437.htm">Sider (Ted) - Four-Dimensionalism</A>", </li><li><a name="17"></a>"<A HREF = "../../BookSummaries/BookSummary_01/BookPaperAbstracts/BookPaperAbstracts_1339.htm">Sider (Ted) - Four-dimensionalism: An Ontology of Persistence and Time</A>". </li></ul><FONT COLOR = "0000FF"><HR></P><a name="ColourConventions"></a><p><b>Text Colour Conventions (see <A HREF="../../Notes/Notes_10/Notes_1025.htm">disclaimer</a>)</b></p><OL TYPE="1"><LI><FONT COLOR = "0000FF">Blue</FONT>: Text by me; &copy; Theo Todman, 2018</li><LI><FONT COLOR = "800080">Mauve</FONT>: Text by correspondent(s) or other author(s); &copy; the author(s)</li></OL> <BR><HR><BR><CENTER> <TABLE class = "Bridge" WIDTH=950> <TR><TD WIDTH="30%">&copy; Theo Todman, June 2007 - August 2018.</TD> <TD WIDTH="40%">Please address any comments on this page to <A HREF="mailto:theo@theotodman.com">theo@theotodman.com</A>.</TD> <TD WIDTH="30%">File output: <time datetime="2018-08-03T00:11" pubdate>03/08/2018 00:11:31</time> <br><A HREF="../../Notes/Notes_10/Notes_1010.htm">Website Maintenance Dashboard</A></TD></TR> <TD WIDTH="30%"><A HREF="#Top">Return to Top of this Page</A></TD> <TD WIDTH="40%"><A HREF="../../Notes/Notes_11/Notes_1140.htm">Return to Theo Todman's Philosophy Page</A></TD> <TD WIDTH="30%"><A HREF="../../index.htm">Return to Theo Todman's Home Page</A></TD> </TR></TABLE></CENTER><HR> </BODY> </HTML>