The irony lies in the fact that Eugene manages to love distant and non-corporeal beings, but he mistreats those close to him, such as his family.
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By affirming that he loves God and Jesus, Eugene shows that he can feel love for distant, incorporeal beings who represent someone else's father and son. This is even ironic, because his father and the son he cannot love.
Eugene is a complex character, full of strands and layers.
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