A magician is a practitioner of magic, the ability to attain objectives or acquire knowledge using supernatural or nonrational means.
Some modern magicians, such as Aleister Crowley and those who follow the traditions of the Hermetic Order of the Golden Dawn and Ordo Templi Orientis, describe magic in rational terms, using definitions, postulates and theorems. Aleister Crowley said "the magician of the future will use mathematical formulas".
The paranormal kind of magician (unlike the stage illusionist) can also be referred to as an enchanter, wizard, mage, magus, or thaumaturgist. These overlapping terms may be distinguished by some traditions or some writers. When such distinctions are made, sorcerers are more often practitioners of evocations or black magic, and there may be variations on level and type of power associated with each name.
Some names, distinctions, or aspects may have more of a negative connotation than others, depending on the setting and the context. (See also Magic and Magic and religion, for some examples.)
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