<!DOCTYPE html><HTML lang="en"> <head><meta charset="utf-8"> <title>Ladyman (James) - Mathematical structuralism and the Identity of Indiscernibles (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_05/PaperSummary_5789.htm">Mathematical structuralism and the Identity of Indiscernibles</A></th></tr> <tr><th><A HREF = "../../Authors/L/Author_Ladyman (James).htm">Ladyman (James)</a></th></tr> <tr><th>Source: Analysis 65.3, July 2005, pp. 218-221(4)</th></tr> <tr><th>Paper - Abstract</th></tr> </TABLE> </CENTER> <P><CENTER><TABLE class = "Bridge" WIDTH=200><tr><td><A HREF = "../../PaperSummaries/PaperSummary_05/PaperSummary_5789.htm">Paper Summary</A></td></tr></TABLE></CENTER></P> <hr><P><FONT COLOR = "0000FF"><U>Author s Abstract</U><FONT COLOR = "800080"><ol type="1"><li>The article focuses on mathematical structuralism. Mathematical structuralism comes in various varieties and faces many problems. </li><li>The article offers a solution to a particular problem that has been raised for non-eliminative structuralism about mathematical objects of the kind that has been defended by Stewart Shapiro. He calls his view <em>ante rem structuralism</em> and argues that mathematical objects exist, and are positions in structures, where the latter are <a name="1"></a><A HREF="../../Notes/Notes_10/Notes_1008.htm">universals</A><SUP>1</SUP>. </li><li>According to Shapiro, mathematical knowledge fails to describe any intrinsic properties of mathematical objects, but it is nonetheless complete knowledge of its domain because the only properties mathematical objects possess are their structural or relational properties.</li></ol></FONT><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="2018-08-02T06:37" pubdate>02/08/2018 06:37:25</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>