color correction - Why are high white balance temperatures redder when warmer objects are bluer?

I know it's dumb to ask this type of questions. But, I still don't get this.
I've read the "Black body" story and know that when it's heated, it gives off colors; 'warm' colors (red→orange→yellow..) that have low color temperatures, at low temperatures, (I mean, when it is cooler than afterwards) right? And, the black body gives off 'cold' colors (white→blue..) that have high color temperatures at high temperatures (when it is hotter than before), right? Correct?
So there're two, yes, very dumb, questions and the latter one is dumber..

1. Why are that 'warm' colors said to have low temperatures? And 'cold' colors vice versa?


2. So the redder colors have lower c/t and bluer colors have higher c/t, then why does the camera's color temperature - adjusting slider has the bluer colors on the left, and the redders on the right?

Please, forgive me for my ignorance...