<?xml version="1.0" encoding="UTF-8"?>

<record version="3" id="3387">
 <title>sentence</title>
 <name>Sentence</name>
 <created>2002-08-28 23:22:32</created>
 <modified>2006-08-16 18:01:50</modified>
 <type>Definition</type>
 <creator id="455" name="Henry"/>
 <author id="455" name="Henry"/>
 <classification>
	<category scheme="msc" code="03B99"/>
 </classification>
 <preamble>% this is the default PlanetMath preamble.  as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.

% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}

% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%\usepackage{xypic}

% there are many more packages, add them here as you need them

% define commands here
%\PMlinkescapeword{theory}</preamble>
 <content>A sentence is a formula with no free variables.

Simple examples include:

$$\forall x\exists y [x&lt;y]$$

or

$$\exists z [z+7-43=0]$$

However the following formula is not a sentence:

$$x+2=3$$</content>
</record>
