For the sake of making the distinctions and similarities clear between the various facets of 4E cognition for myself and all students of Cognitive Science reading this, here are some wonderfully succinct definitions that I’ve stumbled upon on the University of Edinburgh Talbot Rice Gallery guide for “The Extended Mind” Exhibition, 2019, p. 71. They are reproduced here verbatim with full credit to the writers employed by the Gallery:
Embodied cognition: cognitive states and processes are routinely shaped in fundamental ways by bodily forms, movements, states and processes.
Embedded cognition: external resources (such as tools or technology) act as noncognitive aids to an internal thinking system located in the brain; so, while the external resources enable cognition, they are not themselves counted as cognitive.
Extended cognition: a coupled system of external resources, bodily movements and in-the-head processing constitutes the thinking agent; all of these factors count as cognitive.
Enactive cognition: cognition is enacted (unfolds) through looping sensorimotor interactions between the agent and its environment, implying a close relationship between perception and action.