I think this should be an easy question, but I'm not sure many people have a ready answer.
If someone asked me what the fundamentals of marksmanship are, I could reply without hesitation "breath control, trigger control, sight alignment and sight picture." These fundamentals, for the most part, apply to many projectile weapons, and they apply whether an enemy is five meters away or five hundred meters.
If someone however asked me what were the fundamentals of karate I would probably hesitate. I might say "Well there's punching, blocking and kicking." But after a few more moments of thought, I would think that this wouldn't apply either. When I studied at a karate school, kihon would be the answer, the basic blocks, kicks and punches, but I don't study at a school anymore. I practice one kata and I think of the kata as the fundamental priciples of its fighting system. But I would think a little more and decided that I couldn't use my kata as an example, because my kata does not encompass the whole of karate.
The thought of this bothered me. I wasn't worried about someone asking me, I was worried because I didn't have an answer.
My ideas so far are breathing and moving to foster power and advantage.
I feel that it is as fundamental as I can personally get it. I figure if you can't breath then most any techniques will be ineffective and if you can't move to generate power or move to get advantage then most any technique won't work either, it will either be too weak, or you won't be in the correct position to use the technique.
These are my ideas.
What would you name as the fundamentals of your karate training?