The Time of the Doctor is a mixed bag for the fans. Some adore it. Others abhor it. And as with most of Steven Moffat’s scripts, it’s apparently ‘littered’ with inconsistencies. As often with Moffat storylines, people tend to become fixated on “plot holes” and “gaps” in the storytelling. For some, it’s just a case of not being able to fully comprehend or understand the creativeness and genius of Steven’s script. For others, it’s just an opportunity to complain. Once again, there aren’t any plot holes (at least any I’ve picked up on).
1) a character that suddenly has knowledge and understanding of something without ever learning it. For example: Using a villain’s name before actually learning/hearing it.
2) When characters doesn’t bother solving a problem even though the solution is obvious or easy to accomplish.
3) When events do not follow from what previous continuity has established. In the case of a show about time travel, this one can be forgiven.
4) Characters doing things that other events do not allow. For example: How the Doctor survived the fall in The End of Time, but not in Logopolis – that is a plot hole ladies and gentlemen.