<!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>A requirement of great importance, therefore, is the ability to assign a probability to any statement about the world (or within a model), in accord with the likelihood of it being a true statement.</B><ol type="1"><li><a name="1"></a><A HREF = "../Notes_4/Notes_459.htm">Ideally</A><SUP>1</SUP>, 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.</li><li>In <a name="2"></a><A HREF = "../Notes_4/Notes_460.htm">practical</A><SUP>2</SUP> life, where it is unreasonable to assign a numerical probability to an event, we do assign non-mathematical probabilities to statements and base our actions on them.</li><li>It also makes sense to say that certain statements are more probable than others, even when they do not refer to the same <a name="3"></a><A HREF = "../Notes_4/Notes_461.htm">domain</A><SUP>3</SUP> of experience. </li><li>It would seem to be possible to assign a <a name="4"></a><A HREF = "../Notes_4/Notes_462.htm">priori</A><SUP>4</SUP> probabilities to statements about the world, the probability being assigned a priori to that particular potential experience, by reference to other actual experiences, though not a priori to all experience.</li><li>A statement with a low a priori probability may yet have a higher a posteriori probability because of the strength of actual testimony or experimental evidence. </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%">220 (Probability)</TD> <TD WIDTH="25%"><A href ="../../Notes/Notes_1/Notes_174.htm">Certainty</A></TD></TR> </TABLE></center> <hr><h3>Summary of Note Links from this Page</h3> <CENTER> <TABLE Class = "Bridge" WIDTH=950> <TR> <td bgcolor="#ffcccc" WIDTH="20%"><A href = "../../Notes/Notes_4/Notes_462.htm"><span title="Low Quality">Probability - A Priority</span></A></TD> <td bgcolor="#ffcccc" WIDTH="20%"><A href = "../../Notes/Notes_4/Notes_461.htm"><span title="Low Quality">Probability - Cross-Domain</span></A></TD> <td bgcolor="#ffcccc" WIDTH="20%"><A href = "../../Notes/Notes_4/Notes_459.htm"><span title="Low Quality">Probability - Issues</span></A></TD> <td bgcolor="#ffcccc" WIDTH="20%"><A href = "../../Notes/Notes_4/Notes_460.htm"><span title="Low Quality">Probability - Practicality</span></A></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><h3>Summary of Note Links to this Page</h3> <CENTER> <TABLE Class = "Bridge" WIDTH=950> <TR> <td bgcolor="#ffff4d" WIDTH="20%"><A href = "../../Notes/Notes_1/Notes_174.htm#4"><span title="Medium Quality">Certainty</span></A></TD> <td bgcolor="#b3c6ff" WIDTH="20%"><A href = "../../Notes/Notes_9/Notes_906.htm#1"><span title="Plug Note - Reading List TBA">Probability</span></A></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#1">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="2018-08-01T03:06" pubdate>01/08/2018 03:06:46</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>