  We discuss some properties of Cohen and random reals. We show that they
belong to any definable partition regular family, and hence they satisfy most
"largeness" properties studied in Ramsey theory. We determine their position in
the Mahler's classification of the reals and using it, we get some information
about Liouville numbers. We also show that they are wild in the sense of
o-minimality, i.e., they define the set of integers.
