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\begin{frame}{Jan's Chess Playing Sisters}
  The sentence: 
  \begin{scenter}  
    \sentence{Apart from Mary, Jan has other sisters who play chess}  
  \end{scenter}
  may have two readings:
  \begin{itemize}
  \pause
    \item \ldots\ \sentence{has at least one other sister} \ldots
  \pause
    \item \ldots\ \sentence{at least two other sisters} \ldots    
  \end{itemize}
  \pause\medskip
  
  \begin{block}{\sentence{\ldots\ has at least one other sister \ldots}}
    \pause
    \begin{malign}
      \formula{ \binpred{S}{\const{m}}{\const{j}} \logandinf \unpred{C}{\const{m}} \logandinf
        \existsst{x}{\big(\, 
          \notequalto{x}{\const{m}} \logandinf \binpred{S}{x}{\const{j}} \logandinf \unpred{C}{x}  
        \,\big)}}  
    \end{malign}
  \end{block}
  \pause\medskip
  
  \begin{block}{\sentence{\ldots\ at least two other sisters \ldots}}
    \pause
    \begin{malign}
      \binpred{S}{\const{m}}{\const{j}} \logandinf \unpred{C}{\const{m}} \logandinf
         \existsst{x}{\existsst{y}{\:\big(\,
           &\notequalto{x}{\const{m}} \logandinf \notequalto{y}{\const{m}} \logandinf \notequalto{x}{y}}} \\
           &\logandinf \binpred{S}{x}{\const{j}} \logandinf \unpred{C}{x} \logandinf 
                       \binpred{S}{y}{\const{j}} \logandinf \unpred{C}{y}  
          \,\big)
    \end{malign}
  \end{block} 
\end{frame}