Wittgenstein considers the different games that might teach
someone how to read a table. A table, like an ostensive
definition, gives us a rule that we can follow. For instance, we
learn to correspond words in one column to images in another. In
turn, we need another rule to tell us how to read this table. In
section twenty-one, Wittgenstein gives examples of different
possible rules that could explain how we are to read a table
with two columns and four rows. For instance, we can imagine a
rule that instructs us to simply from read left to right, but a
different rule might tell us to read in a criss-cross pattern.
This rule could then be adjoined to the table and we could
imagine having another rule to explain how we are to make sense
of this rule. On the other hand, it is not necessary that we
have a rule to explain every rule that we follow. Game two
introduces a finite series of numbers, but the introduction of
an infinite series must be learned in a different way. In
section twenty-two, Wittgenstein conc