Which cannot be demonstrated by the fossil record.
It can for some groups, but not for others. This is largely due to different environments; eg, there are very few fossils of jungle animals compared to plain/savannah dwellers. Classical examples of the latter are eohippus - modeern horses, and australopithecines - modern people.
Also, in cases of "rapid" evolution, Gould's hypothesis is that the speciation (ie the intermediate forms) are in a small population in a geographically-restricted area. So we should expect few transitionals in this case. However, I have read that there have been a few lucky finds of exactly this scenario, but I forget just what species were involved (IIRC it was Gould's specialty, snails).
Something that is often forgotten by anti-evos is the abundant fossil record for many higher-level transitions, such as dino-bird and reptile-mammal. Recent reseach in Precambrian and Cambrian fossils is uncovering phylum-level transitionals. The link is to an essay by Glenn Morton that shows worm-arthropod, halkeriid-brachiopod, and annelid-halkeriid-mollusc. It has some great pictures.