This is closer to my idea of magic. Now even among people who believe in magic, this would most likely not be an acceptable definition, even if I added that magic is using 'will' and science and religion to affect a desired effect. But then, it's my belief that magic is an art form. Art is scientific in that a knowledge of chemistry is necessary for creating the paints and thinners. A good number of magical practitioners apply the chemical sciences too, especially those who are involved in alchemy, herbology, and the healing arts.
Art also requires mathematical principals to supply proportion and dimensions.
A magic user too must understand the natural world around them as it exists, in order to affect change on it. But 'good' art is more than the application of scientific principal. An artist can be technically capable of performing any of the skills necessary to paint a picture and yet be completely incapable of producing much more than a stick man. One might say that it requires inspiration, invention, or the will to create. This is the subjective aspect of art, and is parallelled in magic.