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\begin{center}\textbf{Problem Set 4 \hspace{.7in} Set Theory \& Topology \hspace{.7in} Due 2/28/18} \end{center}

\noindent You are expected to do the following problems to a high standard (i.e., at least well enough to be published in a textbook) for full credit.  Four of these problems will be selected (by Jon) for grading, with each worth 5 points.

\begin{enumerate}

\item Give an example of a set which is finite and bounded, or explain why it isn't possible.

\item Give an example of a set which is finite and unbounded, or explain why it isn't possible.

\item Give an example of a set which is infinite and bounded, or explain why it isn't possible.

\item Give an example of a set which is infinite and unbounded, or explain why it isn't possible.

\end{enumerate}


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