\item \begin{questionEnumerate}[0.2em] \item Explain what it means that natural deduction for propositional logic is \emph{complete}? \item Sketch the idea of the \emph{proof for completeness} of natural deduction for propositional logic. List the three sub-proofs that need to be performed to prove completeness and briefly discuss the idea of each individual sub-proof. \end{questionEnumerate}