where the letters in parentheses
indicate the abbreviation that will be used in the figures when
we describe the concept instance as a conjunction of propositions.
Note that with 4 dimensions each of which can take on one of
two values there are 2 to the 4th or 16 possible concept instances.
Clicking on the example figure on the right will open
a window in which these 16 concept instances are displayed.
A
concept definition will partition these 16 possibilities
into two spaces that correspond to the positive examples
and the negative examples of the concept.
Consider
the example shown to the right. Assume that this example is an
instance of the concept that is to be learned. In this example
a white small square is shown on the left of the field. The description
of this example as a conjunctive description is shown beneath
the figure. If this is the only instance, that is the concept
is exactly this conjunction of features, then all of the other
possibilities lie in the other element of the partition. If the
concept is 'white and square', then the space is partitioned
into two sets of 4 and 12 elements.
