It’s a very blatant recurring theme that Silva thinks that Bond is his counterpart. In fact, everyone else in the entire film seems to take this for granted, except for Bond (who does not identify with Silva, ever) and Q (who does identify with Silva, and no one around him except possibly Bond notices). Q/Silva is an undercurrent throughout the film that you don’t notice at all until you tug one end of the thread and the whole tapestry picks up with it.