If intra-mental faculties of one mind can instantiate the lover-beloved relation (as in the mind loving its own understanding), numerical identity of lover and beloved is not strictly impossible.

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faculties(Kant's jargon for mental powers such as synthesis and unity): The capacities and structures the mind must possess in order to represent things as it does.
instantiate(as used in metaphysics): To be a concrete example of something, or to have and display a particular property or category.
intra-mental(as used in philosophy of mind): Something happening within a single mind or consciousness, rather than between different people or minds.
lover-beloved relation(as used in metaphysics and philosophy of emotions): A relationship between two entities where one (the lover) feels love or deep care toward the other (the beloved); a connection typically involving attraction or affection.
numerical identity(Distinguished from qualitative similarity when discussing whether a tailed cat and a tailless cat are the same individual.): The relation an entity bears to itself and nothing else; being one and the same individual entity rather than merely qualitatively similar.
strictly impossible(as used in logic and metaphysics): Completely impossible in every conceivable way, with no exceptions or special circumstances that could make it happen.

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