\begin{frame}{Russell's Barber Paradox}
\paradox
\pause\medskip
What does the law require of the barber?\pause{}
\uncover<12->{\alert{He has no option!}}
\medskip
\begin{description}
\item[Case 1: The barber shaves himself.]\mbox{}\pause
%
Then he does \mediumblue{\eqref{self-shaved}} and \mediumblue{\eqref{barber-shaved}}.
\pause
By doing \alert{both \eqref{self-shaved} and \eqref{barber-shaved}},
he violates the law that only permits exactly one of these options.
\pause
$\;\;\alert{\xmark}$
\pause\smallskip
\item[Case 2: The barber does not shave himself.]\mbox{}\pause
%
Then he does not do \mediumblue{\eqref{self-shaved}}.
\pause
As he is the barber, he also is not shaved by the barber.
So he does not do \mediumblue{\eqref{barber-shaved}}.
\pause
By doing \alert{neither \eqref{self-shaved} nor \eqref{barber-shaved}},
the law is again violated.
\pause
$\;\;\alert{\xmark}$
\end{description}
\vspace{10cm}
\end{frame}