One area of the Book of Mormon that does bother some is what they see as anachronistic doctrine; that the Book of Mormon has Christian doctrine prior to the coming of Christ; that it has seemingly New Testament doctrines appearing centuries before Jesus arrives, and it seems to be representing a form of Christianity existing in the New World where there doesn't seem to be much evidence of that archaeologically. Christianity is invisible in the New World prior to the coming of Columbus, and so those things seem like clear anachronisms to people looking at it in that way.
Daniel C. PetersonHorses in the Book of Mormon would be another. You have relatively few mentions of horses, but there are some, and we don't know exactly how they were used; they don't seem to be all that common. Were they horses as we understood them, [or] does the term describe some other animal? Languages don't always and cultures don't always classify things the way we would expect. We have what we call common-sense ways of doing it. They're not common sense; they're just ours. But again, we don't have a strong case there. We're just problem solving there.
Daniel C. Peterson