ÿþ<!DOCTYPE html><HTML lang="en"> <head> <meta charset="utf-8"> <link href="../../TheosStyle.css" rel="stylesheet" type="text/css"><link rel="shortcut icon" href="../../TT_ICO.png" /> <title>Note: Christian Tractatus (Theo Todman's Web Page)</title> </head><body> <a name="Top"></a> <h1>Theo Todman's Web Page - Notes Pages</h1><hr><h2>Christian Tractatus</h2><p class = "Centered">(Text as at 12/08/2007 10:17:46)<hr> <P><FONT COLOR = "0000FF"><B>Ideally, we would like to assign a mathematical probability to any statement, ie. a real number in the range 0 to 1, with 0 representing impossibility & 1 representing certainty. As in the frequency theory of probability, the assigned number should represent the proportion of situations in which the statement is expected to turn out to be true.</B><ol type="1"><li>However, in most cases this approach has a spurious aura of precision, because most situations are not regular or repeatable events.</li><li>It must be noted that where the possible outcomes of an experiment form a continuum or other infinite set, the a priori probability of any particular outcome is 0. Nonetheless, we would not describe any particular outcome, a posteriori, as unlikely. Rather, we would divide the domain of possible outcomes into equivalence classes (whose total probability may be obtained by summation or integration) and judge the outcome of the experiment by the probability of its class. </li></ol></P> <BR><HR><BR><CENTER><TABLE class = "Bridge" WIDTH=950><TR> <TH WIDTH="25%">Note last updated</TH> <TH WIDTH="50%">Reference for this Topic</TH> <TH WIDTH="25%">Parent Topic</TH></TR> <TR><TD WIDTH="25%">12/08/2007 10:17:46</TD> <TD WIDTH="50%">459 (Probability - Issues)</TD> <TD WIDTH="25%"><A href ="../../Notes/Notes_2/Notes_220.htm">Probability</A></TD></TR> </TABLE></center> <BR><HR><BR><h3>Summary of Note Links to this Page</h3> <CENTER> <TABLE Class = "Bridge" WIDTH=950> <TR> <td bgcolor="#ffcccc" WIDTH="20%"><A href = "../../Notes/Notes_2/Notes_220.htm#1"><span title="Low Quality">Probability</span></A></TD> <TD WIDTH="20%">&nbsp;</TD> <TD WIDTH="20%">&nbsp;</TD> <TD WIDTH="20%">&nbsp;</TD> <TD WIDTH="20%">&nbsp;</TD> </TR> </TABLE> </CENTER> <P class = "Centered">To access information, click on one of the links in the table above.</P> <br><hr><br><CENTER> <h3>Authors, Books & Papers Citing this Note</h3> <TABLE class = "ReadingList" WIDTH=950> <TD WIDTH="25%" class = "BridgeLeft"><B><B>Author</B></B></TD> <TD WIDTH="45%" class = "BridgeLeft"><B><B>Title</B></B></TD> <TD WIDTH="10%" class = "BridgeLeft"><B><B>Medium</B></B></TD> <TD WIDTH="15%" class = "BridgeLeft"><B>Extra Links</B></TD> <TD WIDTH="5%" class = "BridgeCenter"><B><B>Read?</B></B></TD> <TR> <TD WIDTH="25%" class = "BridgeLeft">Todman (Theo)</TD> <TD WIDTH="45%" class = "BridgeLeft">Thesis - Probability</TD> <TD WIDTH="10%" class = "BridgeLeft"><A HREF="../../Abstracts/Abstract_17/Abstract_17865.htm#2">Paper</A> <img src="../../asterisk_yellow.png"alt="Medium Quality Abstract" Title="Medium Quality"></TD> <TD WIDTH="15%" class = "BridgeLeft">&nbsp;</TD> <TD WIDTH="5%" class = "BridgeCenter">Yes</TD> </TR> </TABLE></center> <a name="ColourConventions"></a><br><hr><br><h3 class = "Left">Text Colour Conventions</h3><OL TYPE="1"><li><FONT COLOR = "0000FF">Blue</FONT>: Text by me; &copy; Theo Todman, 2018</li></OL><BR> <center><BR><HR><BR><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="2018-08-01T03:26" pubdate>01/08/2018 03:26:18</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>