It seems \renewcommand{\theexample}{\Alph{example}}
makes the section numbering disappear. Is there a way to avoid this?
\documentclass{article}
\usepackage{amsthm}
\theoremstyle{definition}
\newtheorem{example}{Example}[section]
\renewcommand*{\theexample}{\Alph{example}}
\begin{document}
\section{Intro}
\begin{example}[special curve]
Let something be something.
\end{example}
\section{Outro}
\begin{example}[special manifold]
Let something be something.
\end{example}
\end{document}
Best Answer
When you do
then
\theexample
is defined byand the
example
counter is reset any timesection
is stepped.So you want to redefine
\theexample
by