Arithmetic and geometry
are the formalisation of
the most basic intuitions
we use in out interactions
with the material world.

Mathematics in its more
advanced forms are further
abstractions and generalisations
of that initial formalisation.

When applied to domains where our
basic intuitions break down
e.g. relativity and the quantum
mechanical world, mathematics is
a tool used to construct
isomorphisms (loosely speaking)
betwen said domains and our basic
intuitions