I end up spending at least thirty minutes trying to explain how I can be a witch and not a Wiccan. Wiccan is a beautiful religion, that follows the deity of the Triple Goddess. Wiccan is a faith that has been developed over the years by taking parts of different pagan faiths, that they felt were correct and creating an entirely new religion. A very beautiful and powerful faith. As is the case with 'Wicca' and 'witch'.
Witchcraft is the spirit inside, and for lack of a better word, is a science.
Even Laurie Cabot, in her book. It is a craft, something that studied, and learned, and applied to use. There are many things that are considered science today that were centuries ago considered witchcraft or magic, and vice versa, there are things today that are considered magic and witchcraft that were once considered science. Things such as Astrology, which after the invention of the telescope, became astronomy. Same with alchemy.