There is no therefore symbol in the default LaTeX packages. There are (at least) two ways of getting the symbol:
The package amssymb contains the \therefore symbol definition. To use, do something like:
\usepackage{amssymb}
...
$\therefore 1 \neq 2$
Alternatively, you can create your own therefore definition:
\def\therefore{
\leavevmode
\lower0.1ex\hbox{$\bullet$}
\kern-0.2em\raise0.7ex\hbox{$\bullet$}
\kern-0.2em\lower0.2ex\hbox{$\bullet$}
\thinspace}
The amssymb therefore has tiny dots, whereas the definition above has large dots. Take your pick.
Referenced by http://latexniques.wikidot.com/therefore
I muddled around with \cdot in the place of \bullet and got a result that I like. If anybody else stumbles across this article, this is what I used:
\def\therefore{\boldsymbol{\text{ }
\leavevmode
\lower0.4ex\hbox{$\cdot$}
\kern-.5em\raise0.7ex\hbox{$\cdot$}
\kern-0.55em\lower0.4ex\hbox{$\cdot$}
\thinspace\text{ }}}