Galaxy merging is the late time manifestation of the galaxy formation process and likely significantly effects z < 1 galaxies. A "maximum reasonable rate" model for merging finds a ,~ 2 mag K band increase in the luminosities of dwarf galaxies so that they contribute significantly to the faint counts, with spirals and ellipticals being far less affected. The median K and I redshifts stabilize (and even decrease slightly) at z _~ 0.6 beyond I=21 or K=19. The B redshifts continue to rise (although strongly dependent on the UV spectral evolution). Such rapid merging predicts that at z = 1 the characteristic galaxy mass is reduced to ,-~ 30% of the z = 0 value. To rule out this model requires good sampling beyond z = 1. A theoretical complication for even a minimal merger rate, which reduces z = 1 masses to 2/3 of current epoch values, is that infall of a single satellite having 10% of a disk's mass may destroy thin disks. Using completely selfconsistent n-body simulations, we show that the primary response of a disk to "cosmological" satellites up to 20% of the disk mass is to tilt the disk with a temporary warping.