 % This file is public domain
 % If you want to use arara, you need the following directives:
 % arara: pdflatex: { synctex: on }
 % arara: makeglossaries
 % arara: pdflatex: { synctex: on }
 % arara: pdflatex: { synctex: on }
\documentclass{report}

 % If you want to add babel to this document, you may have to
 % replace the : character in the labels if you are using a
 % language setting (e.g. french) that makes : active.

\usepackage[plainpages=false,colorlinks]{hyperref}
\usepackage[toc,acronym]{glossaries}

 % Define a new glossary type called notation
\newglossary[nlg]{notation}{not}{ntn}{Notation}

\makeglossaries

\newcounter{sortcount}

\renewcommand{\glsprestandardsort}[3]{%
  \ifdefstring{#2}{notation}%
  {%
     \stepcounter{sortcount}%
     \edef#1{\glssortnumberfmt{\arabic{sortcount}}}%
  }%
  {%
     \glsdosanitizesort
  }%
}

 % Notation definitions

\newglossaryentry{not:set}{type=notation, % glossary type
name={$\mathcal{S}$},
text={\mathcal{S}},
description={A set}}

\newglossaryentry{not:emptyset}{type=notation,
name={$\emptyset$},
text={\emptyset},
description={The empty set}}

\newglossaryentry{not:card}{type=notation,
name={$|\mathcal{S}|$},
text={|\mathcal{S}|},
description={cardinality of $\mathcal{S}$}}

 % Main glossary definitions

\newglossaryentry{gls:set}{name=set,
description={A collection of distinct objects}}

\newglossaryentry{gls:card}{name=cardinality,
description={The number of elements in the specified set}}

 % Acronym definitions

\newacronym{zfc}{ZFC}{Zermelo-Fraenkel set theory}

\newacronym{ad}{AD}{axiom of determinacy}

\newacronym{nf}{NF}{new foundations}

\begin{document}
\title{Sample Document using the glossaries Package}
\author{Nicola Talbot}
\pagenumbering{alph}
\maketitle

\begin{abstract}
 %stop hyperref complaining about duplicate page identifiers:
\pagenumbering{Alph}
This is a sample document illustrating the use of the
\textsf{glossaries} package.  In this example, a new glossary type
called \texttt{notation} is defined, so that the document can have a
separate glossary of terms, list of acronyms and index of notation.
\end{abstract}

\pagenumbering{roman}
\tableofcontents

\printglossaries

\chapter{Introduction}
\pagenumbering{arabic}

\Glspl{gls:set} are denoted by a calligraphic font
e.g.\ $\gls{not:set}$.

The \gls{gls:card} of a set $\mathcal{S}$ is denoted
$\gls{not:card}$. The empty set is denoted
$\gls{not:emptyset}$.

Here are some acronyms: \gls{nf}, \gls{zfc} and \gls{ad}.

\chapter{Another Chapter}

Another mention of the empty set $\gls{not:emptyset}$.

Here are the acronyms again: \gls{nf}, \gls{zfc} and \gls{ad}.

\end{document}
