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It is not the case that Aristotle's unmoved mover engages in self-directed intellection, showing perfect beings can have an intrinsic activity directed at an object.
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Reasons For
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1.
If the unmoved mover thinks about itself, it takes itself as an object, creating a subject-object distinction that seems incompatible with absolute unity.
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2.
Self-directed intellection may involve a minimal form of change or process (consciousness directing toward content), undermining the unmoved mover's immutability.
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3.
The claim that thinking about oneself requires no external dependency is unclear; reflexive thinking still involves intentional structure that demands explanation.
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Reasons Against
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1.
Self-directed intellection (thinking about thinking) requires no external object and avoids dependence, fitting perfection criteria.
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2.
Intrinsic activity distinguishes perfect beings from mere potentiality; the unmoved mover's self-intellection demonstrates actualized perfection.
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3.
Intellectual activity directed at an object (itself) reconciles Aristotle's rejection of change with the requirement that perfect beings be active.
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