<!DOCTYPE html><HTML lang="en"> <head><meta charset="utf-8"> <title>Hawthorne (John) & Sider (Ted) - Locations (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_11/PaperSummary_11610.htm">Locations</A></th></tr> <tr><th><A HREF = "../../Authors/H/Author_Hawthorne (John).htm">Hawthorne (John)</a> & <A HREF = "../../Authors/S/Author_Sider (Ted).htm">Sider (Ted)</a></th></tr> <tr><th>Source: Hawthorne - Metaphysical Essays, 2006; Philosophical Topics 30 (2002): 53 76.</th></tr> <tr><th>Paper - Abstract</th></tr> </TABLE> </CENTER> <P><CENTER><TABLE class = "Bridge" WIDTH=600><tr><td><A HREF = "../../PaperSummaries/PaperSummary_11/PaperSummary_11610.htm">Paper Summary</A></td><td><A HREF = "../../PaperSummaries/PaperSummary_11/PaperCitings_11610.htm">Books / Papers Citing this Paper</A></td><td><A HREF="#ColourConventions">Text Colour-Conventions</a></td></tr></TABLE></CENTER></P> <hr><P><FONT COLOR = "0000FF"><U>Authors Introduction</U><FONT COLOR = "800080"><ol type="1"><li>Think of  locations very abstractly, as positions in a space, any space. Temporal locations are positions in time; spatial locations are positions in (physical) space; particulars are locations in quality space. </li><li>Should we reify locations? Are locations entities? Spatiotemporal <em>relationalists</em> say there are no such things as spatiotemporal locations; the fundamental spatial and temporal facts involve no locations as objects, only the instantiation of spatial and temporal relations. The denial of locations in quality space is the <em>bundle theory</em>, according to which particulars do not exist; facts apparently about particulars really concern relations between <a name="1"></a><A HREF="../../Notes/Notes_10/Notes_1008.htm">universals</A><SUP>1</SUP>. </li><li>A  space , in our abstract sense, consists of a set of objects, together with properties and relations defined on those objects. The objects are the locations of the space, and the distribution of the properties and relations over the locations defines the space s structure. All spaces are thus quality spaces; when the relations are thought of as spatiotemporal then the space is also a spatiotemporal space. By not reifying locations one denies that these abstract spaces isomorphically represent the real world. The real world does in some sense have a structure that can be non-isomorphically represented by a space (or, more likely, a class of spaces), but the locations in those spaces do not correspond to anything real. </li><li>We will examine <a name="2"></a><A HREF="../../Notes/Notes_1/Notes_121.htm">modal</A><SUP>2</SUP> considerations on reifying locations. Denying the existence of spatiotemporal locations excludes certain possibilities for spatiotemporal reality. Denying the existence of qualitative locations excludes certain possibilities for qualitative space. In each case the excluded possibilities are pre-analytically possible. Some of the possibilities can be reinstated by modifying the locationless theories, but at the cost of an unattractive holism. </li><li>Do these <a name="3"></a><A HREF="../../Notes/Notes_1/Notes_121.htm">modal</A><SUP>3</SUP> considerations mandate postulating locations? That depends on whether <a name="4"></a><A HREF="../../Notes/Notes_1/Notes_121.htm">modal</A><SUP>4</SUP> intuition can teach us about the actual world. That deep question in the epistemology of <a name="5"></a><A HREF="../../Notes/Notes_1/Notes_121.htm">modality</A><SUP>5</SUP> will not be explored; we merely point out the <a name="6"></a><A HREF="../../Notes/Notes_1/Notes_121.htm">modal</A><SUP>6</SUP> consequences of repudiating locations.</li></ol></FONT><hr><FONT COLOR = "0000FF"><B>Comment: </B><BR><BR>See <a name="W644W"></a><A HREF = "http://www.tedsider.org/papers/locations.pdf" TARGET = "_top">Link</A> (Defunct).<BR><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="2018-08-03T00:10" pubdate>03/08/2018 00:10:20</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>