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2 changes: 2 additions & 0 deletions content/model-theory/basics/basics.tex
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Expand Up @@ -7,6 +7,8 @@

\olchapter{mod}{bas}{Basics of Model Theory}

\olimport{overview}

\olimport{reducts-and-expansions}

\olimport{substructures}
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20 changes: 20 additions & 0 deletions content/model-theory/basics/overview.tex
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@@ -0,0 +1,20 @@
% Part: first-order-logic
% Chapter: model-theory
% Section: overview
\documentclass[../../../include/open-logic-section]{subfiles}

\begin{document}

\olfileid{mod}{bas}{ovr}
\olsection{Overview}

\epigraph{Logic appears in a \textit{“sacred”} and in a \textit{“profane”} form;
the sacred form is dominant in proof theory, the profane form in model theory}
{\textit{Dirk van Dalen}}

Model theory applies logic to the study of mathematical structures.
While model theory has existed since the 20th century, the name was first
coined by Alfred Tarski, a member of the Lwów–Warsaw school, in 1954.


\end{document}
4 changes: 0 additions & 4 deletions content/model-theory/basics/reducts-and-expansions.tex
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Expand Up @@ -48,10 +48,6 @@ \section{Reducts and Expansions}
\]
\end{prop}

\begin{proof}
Exercise.
\end{proof}

\begin{prob}
Prove \olref[mod][bas][red]{prop:reduct}.
\end{prob}
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3 changes: 1 addition & 2 deletions content/model-theory/model-theory.tex
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Expand Up @@ -12,8 +12,7 @@
theory, less those topics covered in the part on first-order logic
(theories, completeness, compactness). It requires much more
introduction, motivation, and explanation, as well as exercises, to
be useful for a textbook. Andy Arana is at planning to work on this
part specifically (\gitissue{65}).
be useful for a textbook. The progress is tracked at \gitissue{65}.
\end{editorial}

\olimport[basics]{basics}
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