Set edits

This commit is contained in:
2023-07-20 21:19:17 -07:00
parent 0afeaa8c6d
commit 44d7577e2f
6 changed files with 95 additions and 16 deletions

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@ -1,13 +1,13 @@
% use [nosolutions] flag to hide solutions.
% use [solutions] flag to show solutions.
\documentclass[
solutions,
nosolutions,
singlenumbering
]{../../resources/ormc_handout}
\uptitlel{Advanced 1}
\uptitler{Summer 2023}
\title{The Size of Sets, Part 1}
\title{The Size of Sets}
\subtitle{Prepared by Mark on \today{}}
\begin{document}
@ -19,7 +19,8 @@
\input{parts/2 cartesian.tex}
\input{parts/3 functions.tex}
\input{parts/4 enumeration.tex}
\input{parts/dense.tex}
%\input{parts/5 dense.tex}
\input{parts/6 uncountable.tex}
%\vfill
@ -36,14 +37,6 @@
% $(a, b) = \{ \{a\}, \{a, b\}\}$
%\end{solution}
%\vfill
%\problem{}
%Let $R$ be the set of all sets that do not contain themselves. \par
%Does $R$ exist? \par
%\hint{If $R$ exists, do we get a contradiction?}
%\vfill
%\problem{}
%Suppose $f: A \to B$ and $g: B \to C$ are both one-to-one. Must $h(x) = g(f(x))$ be one-to-one? \par
%Provide a proof or a counterexample.