The name "Lucifer" has many meanings and interpretations, according to the "Encyclopedia of Demons in World Religions and Cultures" by Theresa Bane, but most of them refer to the angel that Lucifer was before his attempted coup of heaven. The list of meanings includes light-bearer, giver of light, morning star, and a personal favorite, lightbeard. The story of his name comes from his creation by God himself.
Throughout debates in Christianity and tying back into the Bible, Lucifer is often conflated with Satan, and also with Beelzebub, but the traits that Binsfeld attributes to the three separate them as different entities and in Lucifer's case, his name sets him up as one of the most interesting princes of hell, given the power he had before his failed rebellion in heaven. This failed rebellion gives to another interpretation of what his name means, according to Bane — "he who shuns the light."
Interestingly, Lucifer also has a place in classical mythology as the bringer of the dawn, according to Britannica, though he has no accompanying myth or legend attached to his character.
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