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\begin{itemize}
\item Induction misconceptions. 
  \begin{enumerate}
    \item All horses are the same color.
    \item I can lift all the sand in the world.
  \end{enumerate}
\item $15 | 2^{4n} - 1$.
\item Proof by induction that every well-formed arithmetic expression
  has the same number of left and right parentheses.
\end{itemize}

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