The difference will not be that between a hand of a bounded game
with 32 cards and a hand of a bounded game with a greater number of
cards.
The number of cards used was, we said, the
same.
But there will be differences of another kind,
e.g., the bounded game is played with a normal pack
of cards, the unbounded game with a large supply of blank cards &
pencils.
24.
The unbounded game is opened with the question, “How
high shall we go?”
If the players look up the rules of this game in a book of rules, they
will find the phrase “& so on” or
“& so on ad inf.” at
the end of certain series of rules.
So the difference between the two hands
a) &
b) lies in the tools we use, though admittedly not in
the cards they are played with.
But this difference seems trivial and not the essential
difference between the games.
We feel that there must be a big & essential difference
somewhere.
But if you look closely at what happens when the hands are played, you
find that you can only detect a number of differences in details, each
of which would seem inessential.
The acts, e.g., of dealing &
playing the cards
may in both cases be identical.
In the course of playing the hand
a), the players may have
considered making up more cards, & again discarded the
idea.
But what was it like to consider this?
It could be some such process as saying to themselves or aloud,
“I wonder whether I should make up another
card”.
Again, no such consideration may have entered the minds of the
players.
It is possible that the whole difference in the events of a hand of the
bounded, and a hand of the unbounded game lay in what was said
before the game started, e.g.,
“Let's play the bounded game”.