Visible crew/equipment: In the final shot of the opening sequence (before "the Interview" title shot), at the top of the frame, you will see the helicopter blades twirling. (Visible on fullscreen DVD and VHS.) (00:02:43)
Visible crew/equipment: At the beginning of the movie, Jack knocks on Ullman's office door and you can see Stanley Kubrick reflected in one of the square window panes behind Mr Ullman. Do not confuse Kubrick's reflection with Jack Nicholson's. (00:03:39)
Visible crew/equipment: When Danny runs with his tricycle through the corridors before stopping in front of room 237, the shadow of the camera chasing him can be seen on the tricycle's backrest. (00:28:50)
Answer: Effectively, Danny's shining is what brings the hotel to life. Because he has such an incredibly powerful shine about him, all these weird ghost things in the hotel are able to materialize and reveal themselves. These weird ghost things are always present to some degree, and those people with a small degree of shine get glimpses of them - like Dick Hallorann. (It's not quite made clear in the movie, but Dick saw the woman in room 237 in the book). However, Danny's shine is so great that he gives these forces enough life to appear to those without any shine, people like his father and mother. As it's the hotel that's slowly driving Jack crazy, and the hotel gets its power from Danny's shining, then I'd say there's definitely a connection between Jack's insanity and Danny's abilities. In the movie, it's not as clear as it is in the book, but Jack is effectively possessed by the hotel. He's not a flawed drunk with an anger problem who loses his mind because of isolation. He's a flawed drunk with an anger problem who's doing the best he can, until the forces of the hotel get inside his head and make him lose it.
If Danny's shining is what brings the hotel back to life, does this mean that all the previous "Jacks" had a son or daughter with the shining too?