We examine some aspects of the recent results by Binder [Physica A 319 (2003) 99]. The equilibrium formation/dissolution of droplets in finite systems is discussed in the context of the canonical and the grand canonical distributions.

Recent rigorous results on finite size effects for lattice models are reviewed. We consider symmetric and asymmetric first-order phase transitions in cubic and cylindrical geometries and discuss the determination of transition points from finite size data.