ons had
been given me, but I hoped for the best! Indeed, "logic" was part and
parcel of every step taken during this course of instruction. Never
having taught before, I was desperately anxious to give a logical--a
reasonable--explanation of everything to this other being respecting
those things which were quite clear to me. Those, too, who saw the dog
was learning something new, also felt that she seemed to arrive at what
I explained to her with great rapidity and by exercising thought; that,
moreover, she understood the matter as I understood it, and all were
convinced that there could be no doubt but that she _did think_.

I asked her, "14," "12," "15"? And the right answers were given. Then
it occurred to me that with these high numbers the rapping must be an
exertion, especially over a period of time, and I then called to mind
about Krall's horses who had rapped out the decimals with their left
hoof, and the units with their right. The next thing, therefore, was to
make her understand the difference between "right" and "left." I took
each paw in turn, saying "right paw!" and "left paw!" And it took her
longer to remember that than I had expected, seeing how quick she had
been up to the present. Yet, at length this too was accomplished and
she gave each paw without mistake. Strange as it may seem, I found
later on that abstract reckoning and spelling came easily enough, while
the movements of any particular portion of the body--with the exception
of those habitually practised--were always attended with greater
difficulty. It would seem as if she understood rightly enough _with her
head_, but had some trouble in translating what she understood into
active motion; and this applies to all, excepting, of course, such
movements as are the result of heredity, where no words, but some other
incentive, such as "scent" may possibly come into play. It is difficult
for human beings to grasp that there is life in the sub-conscious, and
that it is in those sub-conscious regions that the will to act arises.

I now explained to her: "When you give your _left_ paw _once_, it is to
count as _ten_; when you give your _right_ paw _once_, it is to count
as _one only_. For, you see, if we go on counting there is too much
work for one paw to do and it takes too long. Therefore if you want to
say '12,' you must give the _left_ paw _once_, and the _right_ paw
_twice_." I repeated this several times and then asked: "How do you rap
fifteen?