A question regarding 1080/60p and 1080/24p

[Deciazulado]

Depends of which output your displays accepts (24p, 60p, or 60i) (and of course what your player is capable of spitting out ) where the conversion is done, but yes you need a 24p output and a 24p display if you want film motion to be artifact free.

A player's 24p output for movies goes into a display that accepts 24p and refreshes/displays it at 48/72/96/(or in future displays, 120) progressive "flashes" per second.
If your display can't accept/refresh 24p, or you don't have a 24p player, or if the BD is from videotaped 60i content, you would use the player's 60 Hz output (be it 60i or 60p) which will be displayed at 60 (or in future displays, 120) progressive "flashes" per second (unless you have an interlaced CRT HDTV which would display the output as fields (half frames) in 60 interlaced "flashes' per second)

24 fps movies shown in a 60Hz output have a 3:2 cadence of repeats of the frames and will show judder when things move. If you've never noticed it before when watching NTSC DVDs don't start looking for it so you can still enjoy 60Hz only displays