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.

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

1140. This chapter, and the next as far as Eber, continue the most ancient style; yet here it lies between the style of made-up history and that of true history. For by Noah and his sons, Shem, Ham, Japheth, and Canaan, nothing else was meant nor is meant than, in the abstracted sense, the Ancient Church as to the varieties of its worship; that is to say, Shem is used to mean internal worship, Japheth to mean external worship corresponding to this, Ham to mean corrupted internal worship, and Canaan to mean external worship separated from internal. Noah and his sons never were actual persons but varieties of worship so named because all other differing forms of worship, that is, every specific difference, could be traced back to them as to the basic differences. Consequently nothing else was meant by Noah than the Ancient Church in general, as the parent incorporating all the rest. Indeed the names in this chapter, apart from Eber and his descendants, are used to mean just so many nations - just so many nations as constituted the Ancient Church, a Church that was spread abroad widely throughout areas surrounding the land of Canaan.