Abstract: In previous work we introduced adequate sets of models which can be used as side conditions when forcing objects on ω₂ with finite conditions. In this talk we will discuss coherent adequate sets, which are adequate sets with an additional isomorphism structure on the models. Contrary to what one would expect when forcing with finite conditions on ω₂, we show that coherent adequate style forcings, while adding reals, will always preserve CH. The talk will be accessible to someone with a basic background in set theory and forcing.