This has always baffled me: we know that low kelvin temperatures (eg 3000) look warm, and high kelvin values (eg 7000) look cool right?
So why on cameras are they reversed, and if you dial-in say 3000k the picture is made cooler?
Everyone is right, it is not reversed, blue is hotter than red.
You are thinking of the artists concept of color, maybe about red fire being hot, and blue ice and water being cool, but the engineers think of color temperature as incandescent heat, like heating metal, where heating it turns red hot first, then orange and yellow, and then white and blue, etc. Our Sun for example, around 5000K light, which we call white and midrange.
http://www.webexhibits.org/causesofcolor/3.html
Interesting (to me) is the color of our flashes (not incandescent, but instead ionized xenon gas, but color temperature is still measured in the incandescent fashion).
Studio monolights simply turn their voltage down to implement lower power level. This lower voltage is less energetic, and becomes cooler, more red at low power.
Our speedights are always at full voltage, but they implement lower power level by cutting off the flash tube current when the light is sufficient. This cuts off the final low trailing tail as it fades away, which is the cool red part, therefore the remaining flash used is less red (the hotter full peak).