Let Dar stand for the Darboux Baire class 1 functions.
We show that the cofinality of the meager sets in **R** is the smallest
cardinality of a set of Baire class 1 functions F such that for any
finite collection of Baire class 1 functions Gthere is an f in F such
that G is a subset of f+Dar. Other results of this
type are shown. These results are then considered as statements about
additivity. The notion of super-additivity is introduced.