Mage

Mages (or Hermeticans) are awakened practitioners of magic who believe in hermetic magic. To a mage, magic is a science following a logical system of rules which they can exploit to cast spells.

Mages are differentiated from shamans by usually learning spells from a magical institution, summoning elementals instead of spirits, and following a logic tradition.

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After SR4 however, there are now mages that can learn from a mentor spirit,  and elementals and spirits have been combined to be the same thing.