The inference is that the biblical or mythological character that the creature parallel is Adam.
It should be noted that in the novel Frankenstein, the creature says the following to Victor: "I am thy creature: I ought to be thy Adam, but I am rather the fallen angel, whom thou drivest from joy for no misdeed."
He pleads, "I am thy creature: I ought to be thy Adam, but I am rather the fallen angel, whom thou drivest from joy for no misdeed."
In these lines, Shelley alludes to the Biblical creation story of Adam and to Milton's Paradise Lost. The monster likens himself to Adam, the first human created in the Bible.
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