From ErfWiki

Proposed Canon

Fate is one of the three axes of magic (along with Erf and Numbers) used to break a major class of magic into three different disciplines. {Erf|1|038a}}

Class\Axis	Fate
Hocus Pocus	Predictamancy
Spookism	Dollamancy
Stuffamancy	Changemancy
Eyemancy	Thinkamancy
Hippiemancy	Signamancy
Naughtymancy	Croakamancy
Stagemancy	Carnymancy
Clevermancy	Healomancy

Miscellaneous

• Attunement to Arkentools is governed by Fate magic.^Erf-b1-p022

Speculation

The Axis of Fate seems to focus on an active target's status. For instance, Croakamancy can return a character from croaked to uncroaked. Presumably, Healomancy restores hit points and removes other status effects. And Thinkamancy has been shown to alter loyalty scores. Predictamancy can determine a target's future state - alive, dead, carrying around a pair of Arkenpliers.