<html> <head> <meta http-equiv="Content-Type" content="text/html; charset=unicode"> <title>Chapter 5</title> <style> <!-- p { margin-top: 0px; margin-bottom: 1px } td { border-color: black } td.table1column1 { padding-left: 0in; padding-right: 0in } td.table1column2 { padding-left: 0in; padding-right: 0in } --> </style> </head> <body> <p><font face="Times New Roman"><span style="font-size: 14pt; font-weight:bold">James T. Smith</span></font></p> <font face="Times New Roman"> <br> </font> <p><font face="Times New Roman"><span style="font-size: 12pt">&#160;</span></font></p> <font face="Times New Roman"> <br> </font> <p style="text-align: center"><i><span style="font-weight: bold"> <font size="6" face="Times New Roman">The Legacy of Mario Pieri</font></span></i></p> <p style="text-align: center"><i><span style="font-weight: bold"> <font size="6" face="Times New Roman">&nbsp;in Foundations and Philosophy of Mathematics</font></span></i></p> <font face="Times New Roman"> <br> </font> <p style="text-align: center"><font face="Times New Roman"><span style="font-size: 12pt">&#160;</span></font></p> <font face="Times New Roman"> <br> </font> <p style="text-align: center"><font face="Times New Roman"> <span style="font-size: 24pt; font-weight:bold">Chapter 5</span></font></p> <font face="Times New Roman"> <br> </font> <p style="text-align: center"><font face="Times New Roman"> <span style="font-size: 24pt; font-weight:bold">P</span><font size="6"><span style="font-weight: 700">ieri and Projective Geometry</span></font><br> </font></p> <p style="text-align: center"><font face="Times New Roman"><span style="font-size: 12pt">&#160;</span></font></p> <font face="Times New Roman"> <br> </font> <p style="margin-left: 0.2in; margin-right: 0.2in">&nbsp;</p> <font face="Times New Roman"> <br> </font> <p><font face="CentSchbook BT"><span style="font-size: 18pt; font-weight:bold">Contents and hyperlinks</span></font></p> <br> <br> <div align="left"> <table width="100%" cellpadding="6" style="border-collapse: collapse; border-spacing: 0pt; empty-cells: show; font-family: 'CentSchbook BT', serif; font-size: 12pt; font-weight: normal; font-style: normal; border-color: black" id="table1"> <tr> <td class="table1column1" width="7%" align="left"> &nbsp;</td> <td class="table1column1" width="74%"> &nbsp;</td> <td class="table1column1" width="5%" align="center"> <i>pages</i></td> <td class="table1column2" width="15%" align="right"> &nbsp;</td> </tr> <tr> <td class="table1column1" width="7%" align="left"> <font size="5">5.0</font></td> <td class="table1column1" width="74%" align="left"> <span style="font-size: 18pt; "> <a href="05_00/05_00.pdf">Introduction</a></span><span style="color: #000000"><font size="5"> </font> </span><font size="5"></font> </font> </td> <td class="table1column1" width="5%" align="center"> 3</td> <td class="table1column2" width="15%" align="right"> <span style="font-size:18pt"><a href="05_00/05_00comments.pdf">comments</a></span><span style="color: #000000; font-size:18pt"> </span> </td> </tr> <tr> <td class="table1column1" width="7%" align="left"> <font size="5">5.1</font></td> <td class="table1column1" width="74%" align="left"> <font size="5"><a href="05_01/05_01.pdf">Pieri s Studies, Research, and Teaching</a></font><span style="font-size:18pt; "> </span> </td> <td class="table1column1" width="5%" valign="middle" align="center">4</td> <td class="table1column2" width="15%" align="right"> <span style="font-size: 18pt; "> <a href="05_01/05_01comments.pdf">comments</a></span><span style="color: #000000"><font size="5"> </font> </span></font> </td> </tr> <tr> <td class="table1column1" width="7%" align="left"> <font size="5">5.2</font></td> <td class="table1column1" width="74%" align="left"> <font size="5"><a href="05_02/05_02.pdf">Evolution of Projective Ideas and Methods</a></font><span style="font-size:18pt; "> </span> </td> <td class="table1column1" width="5%" valign="middle" align="center">14</td> <td class="table1column2" width="15%" align="right"> <span style="font-size: 18pt; "> <a href="05_02/05_02comments.pdf">comments</a></span><span style="color: #000000"><font size="5"> </font> </span></font> </td> </tr> <tr> <td class="table1column1" width="7%" align="left"> <font size="5">5.3</font></td> <td class="table1column1" width="74%" align="left"> <font size="5"><a href="05_03/05_03.pdf">Synthetic Projective Geometry as an Autonomous Field</a></font><span style="font-size:18pt; "> </span> </td> <td class="table1column1" width="5%" valign="middle" align="center">12</td> <td class="table1column2" width="15%" align="right"> <span style="font-size: 18pt; "> <a href="05_03/05_03comments.pdf">comments</a></span></td> </tr> <tr> <td class="table1column1" width="7%" align="left"> <font size="5">5.4</font></td> <td class="table1column1" width="74%" align="left"> <font size="5"><a href="05_04/05_04.pdf">Geometry as a Logical System</a></font></td> <td class="table1column1" width="5%" valign="middle" align="center">5</td> <td class="table1column2" width="15%" align="right"> <span style="font-size: 18pt; "> <a href="05_04/05_04comments.pdf">comments</a></span></td> </tr> <tr> <td class="table1column1" width="7%" align="left"> <font size="5">5.5</font></td> <td class="table1column1" width="74%" align="left"> <font size="5"><a href="05_05/05_05.pdf">The Transformational Approach</a></font></td> <td class="table1column1" width="5%" valign="middle" align="center">9</td> <td class="table1column2" width="15%" align="right"> <span style="font-size: 18pt; "> <a href="05_05/05_05comments.pdf">comments</a></span></td> </tr> <tr> <td class="table1column1" width="7%" align="left"> <font size="5">5.6</font></td> <td class="table1column1" width="74%" align="left"> <font size="5"><a href="05_06/05_06.pdf">Multidimensional Projective Geometry</a></font></td> <td class="table1column1" width="5%" valign="middle" align="center">8</td> <td class="table1column2" width="15%" align="right"> <span style="font-size: 18pt; "> <a href="05_06/05_06comments.pdf">comments</a></span></td> </tr> <tr> <td class="table1column1" width="7%" align="left"> <font size="5">5.7</font></td> <td class="table1column1" width="74%" align="left"> <font size="5"><a href="05_07/05_07.pdf">Duality</a></font></td> <td class="table1column1" width="5%" valign="middle" align="center">9</td> <td class="table1column2" width="15%" align="right"> <span style="font-size: 18pt; "> <a href="05_07/05_07comments.pdf">comments</a></span></td> </tr> <tr> <td class="table1column1" width="7%" align="left"> &nbsp;</td> <td class="table1column1" width="74%" align="right"> <i>total</i></td> <td class="table1column1" width="5%" valign="middle" align="center"> 64</td> <td class="table1column2" width="15%" align="right">&nbsp;</td> </tr> </table> </div> <br> &nbsp;</body></html>