Perhaps I should be thinking of it like painting; You can say "I am creating a painting" or you can say "I am creating an abstract painting". In then same way then, you should be able to say "I know a martial art" or "I know the martial art of Taekwondo". The more deeply you go into naming it, the better an idea the person you are talking to will have of what you do.
Nope, sorry. That analogy only works because the other person actually knows what an abstract painting looks like. In terms of martial arts, going deeper only conveys more information if the other person is familiar with those terms.
I play a musical instrument
I play a trumpet.
I play a piccolo trumpet.
I play a Bb (not A) piccolo trumpet.
Each of those conveys more information, but only conveys more
meaning if the other person actually knows what those things are. How many of you actually give a rat's behind as to the difference between an A and Bb piccolo trumpet?
Back to martial arts: if they're
heard of taekwondo, then yes, they have a better idea of what you practice. But Chung Do Kwan? You've lost me.
Just as I could tell someone:
I do martial arts.
I do Chinese martial arts.
I do Xingyiquan.
I do Hebei style Xingyiquan.
Unless they're familiar with various styles of Xingyiquan, and have heard of Hebei style and can attach some meaning to that knowledge, their eyes would have glazed over by this point.
Is karate a martial art?
Nothing is anything unless people say it is.
If, by consensus, people define "martial art" a certain way, and karate fits that definition to people's satisfaction, then it's a martial art.
Which people? Generally those having the discussion.