Color Temperature terminology question



Why do we use the term Cool White for LEDs or lights which output on the bluish white end of the white color temperature range around 6000K and Warm White for LEDs which output around the 4000K color temperature mark?

From a physicists point of view 6000K is warmer or hotter than 4000K so the terminology seems reversed.:devil:

Also why the preference for warm white by some LED light users? Direct sunlight on a clear day is normally considered to be in the 5600K color temperature range which is a lot higher than a Warm LED color temperature and should IMO be considered the most natural light. Has the use of incandescent lights/flashlights and sitting around fires in caves warped our color balance sense so we prefer artificial illumination and consider it more natural?