[Eleile]

Mining = blacksmithing, Mining = metal
Quarrying = Minerologist, Quarrying = stone / gems
Artisans have no use for mining (well, the metal from it), except to sell. Suggested to choose which you want primary (carpentry / minerology) to have your primary gathering skill (logging -> carpentry, quarrying -> minerology) and the other one just to have on hand to do artisan generic stuff with.

And you dont choose your specialty for a while, its at lvl 10/11 to start the quest to choose which is your focus.