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$\mathrm{\TeX}$ is one of the masterpieces of Don Knuth.
It is the uppercase version of $\tau\epsilon\chi$, a Greek word for Tech, which is how $\mathrm{\TeX}$ should be pronounced.
At some point in the early 2000, I switched to $\mathrm{\LaTeX}$ for convenience, and almost exclusively use the latter now.
\addtolength{\itemsep}{-0.5\baselineskip}
\begin{enumerate}
\setcounter{enumi}{4}
\item fifth element
\end{enumerate}
\usepackage{enumitem}% http://ctan.org/pkg/enumitem
\begin{document}
\begin{enumerate}[label={[\arabic*]}]
\item First item
\item Second item
\item \ldots
\item Last item
\end{enumerate}
\end{document}
There is a $\mathrm{\LaTeX}$ package, footmisc, that is useful for manipulating footnote formatting.
%\footnotesep is the space between footnotes:
\setlength{\footnotesep}{-0.5\baselineskip}
%\footins is the space between the text body and the footnotes:
\setlength{\skip\footins}{1cm}
\makeatletter
\renewcommand{\@makefnmark}
%{\@textsuperscript{\textit{\tiny{\@thefnmark}}}}
{[\@thefnmark]}
\renewcommand\@makefntext[1]{%
\parindent 1em \noindent [\@thefnmark]\enspace #1}
\makeatother
(I left, commented, the original definition of the footnote).