4. Mathematics can be
compared to a pyramid.
On the top of the
pyramid are applications
of mathematics to
health, weather, movies
and mobile phones.
However, the top of this
pyramid would not be so
high if its base were not
so wide. Only by
extending the width of
the base can we
eventually build the top
higher.
0
500
1000
1500
2000
2500
3000
3500
5. Going deeper and deeper
into the roots of the
mathematics, one ends up
with such cornerstones of
logic as model theory and
set theory.