%hw1.tex: Homework assignment 1
%%a Plain TeX file by Doron Zeilberger

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\centerline
{
\bf Dr. Z.'s Number Theory Homework assignment 1
}

{\bf 1.} Using {\it unary} (no credit for other methods!),  compute

{\bf a.} $  11 \, + \, 1111111$

{\bf b.} $  111111 \, + \, 11$

{\bf 2.} Using {\it unary} (no credit for other methods!),  compute

{\bf a.} $ 11 \,\times  \, 111 $

{\bf b.} $ 1111 \,\times  \, 1111111 $

{\bf 3.} Write the integers $0$ through $9$ in von-Neumann notation

{\bf 4.} List some {\bf natural} members of Frege's class representing five

{\bf 5.} Write down ({\bf without peeking}) Peano's axioms for the Natural Numtbers .





\end
