...reflective9.1
The word reflection is used in the philosophical sense, meaning ``to think seriously''.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
...BlueJ9.2
Available at http://www.bluej.org
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
... language.11.1
However, this idea was actually proposed by another logician called Schönfinkel.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
....12.1
Notice that the projection functions are actually form an infinite family, one for each choice of $k$ and $i \in
\{1,2,\ldots,k\}$.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
....12.2
Technically, we have to be a bit more careful here. Since we are dealing only with functions over $\mathbb{N}$, $m{-n}$ would be defined to be 0 if $m < n$, so we have to modify the definition of $g(k,n)$ appropriately to take care of this.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.