Seems quite illogical to be to not believe in ANY form of reincarnation. And here's why:
One form of reincarnation is a scientific and observable principle. When we die, our molecules dissasemble and are taken up by other life forms. In a sense, what was once us becomes reborn into the parts of another life form. In some ways, this is reincarnation in the directest sense. Reincarnation has many different meanings, not just those taught in eastern religions.
Reincarnation can also mean a transformation within one's own lifetime. If you were born, say, Christian, and convert to Judaism, that is also a form of reincarnation. The old faith you held is dead and you've been reborn into a new one.
This is why I asked at the begining... which forms of reincarnation are we talking about? Reincarnation can be physical as the scientific example states, it can be psychological as the second example here states, or it can be spiritual, which is what we've been addressing up to this point.
So, given these additional modes of reincarnation, anybody have some more thoughts to add?
