The name 'Eve' comes from the Hebrew word חַוָּה or 'Chava,' a form of the word for life, which is why she is called 'the mother of all living.' She represents the church, and is called 'mother' because this was the first Church of all, and 'living' because of its faith in the Lord, who is life itself.

(Референци: Arcana Coelestia 287-291, Genesis 3:20)

363. The nature of the doctrine of faith called Cain is clear from the description of it given in this verse. The following explanation of the contents of the verse shows that charity was capable of being allied to faith, but only if this resulted in charity and not faith being the superior.

(1) 'If you do there is an uplifting', which means that if your desires are good, charity might be present. 'Doing well' means in the internal sense desiring well, for the doing of a good deed flows from the desiring of it. In ancient times deed and will made one, and from the deed people caught sight of the will, for pretence did not exist at all. That 'uplifting means the presence of charity is clear from what has been stated already about the face, ¹ that is to say, about 'lifting up the face' ¹ meaning possession of charity, and about 'the face ¹ falling' meaning the reverse.

Фусноти: