Theory:Doctor Who television discontinuity and plot holes/Nightmare in Silver

• When the Doctor bluffed that he is about to win the game in three or five moves, that would not require the Cybermen to invest a significant effort to verify. A 6-ply (three move pairs) look-forward in chess game does not involve that many different combinations even if they are checked using brute force. In fact, a typical desktop computer of today can do it in a few minutes, and I'd presume the Cyberman is more efficient than a today's computer. (Tested with: http://www.vanheusden.com/DeepBrutePos/ ) Also, they did not negotiate a time limit for the moves... A match with a computer is pretty much meaningless when the computer can spend an eternity thinking a move.
• Three million Cybermen hiberating/recuperating completely undetected? An empire that can destroy a galaxy will have routine detection equipment sensitive to detect such things before leasing a planet for commercial development.
• What was comical about Nanny Longshoe's Comical Castle?
  • I imagine there were a lot of bits we didn't see to the castle. Plus, considering that the theme park has closed down, it could have been cleared out so all comical things would now be gone.Maybe there were no props in the first place and "Nanny Longshoe" was a comical character whom is no longer needed.
• Why did the children sleep in the manniquin room rather than be kept safe in the tardis?
  • Would you want that annoying girl going to explore the TARDIS?
    • Yes. No problem. We know, that Tardis can take care of herself. A normal human girl wandering inside Tardis could not do anything harmful to her...
• Why did the emperor not evacuate and destroy the planet the first moment he became away of a cyber infestation?
  • Perhaps because he wanted to have his little vacation and he didn't want to be an emperor anyway...