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Many
students
do
not
realize
the
great
importance
of
definitions
to
mathematics.
This
importance
stems
from
the
need
for
mathematicians
to
communicate
with
each
other.
If
two
people
are
trying
to
communicate
about
some
subject,
they
must
have
the
same
understanding
of
its
technical
terms.
However,
there
is
an
important
structural
weakness.
It
is
impossible
to
define
every
concept.
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