Martial Art is an art and science as well. But some of the trainings in a particular form of Martila Art such as "Kung Fu" involves "mind over matter", which is illogical, with reference to what is rational. There is also a form of Martial Art, which is really science at work, it has something to do with speed, monemtum, balance, proper body weight shifting, footwork and timing. This is "Aikido". Most martial arts students, teachers or enthusiast were all fascinated and had a passion about it and that makes it an Art. While pursuing and seeking to know or be able to learn a particular form of Martial Art. You have to study it, do research and seek help from qualified individual and all these are "Science", in it's basic form and nature.