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It is not the case that The beauty associated with an ideal cannot be a vague, indeterminate beauty, but must be a beauty fixed by a concept of objective purposiveness.
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Reasons For
2 perspectives
Reason for 1 of 2
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1.
For Kant, free beauty (pulchritudo vaga) is precisely beautiful without any concept of what the object ought to be, yet remains genuinely beautiful.
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2.
The demand that ideal beauty require objective purposiveness conflates adherent beauty with the purer, concept-independent aesthetic judgment Kant distinguishes.
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3.
Fixing beauty by a determinate concept subordinates aesthetic judgment to cognitive or teleological criteria, violating the disinterested autonomy of taste.
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Reason for 2 of 2
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1.
Schiller argues in the Aesthetic Letters that the highest beauty arises from a free play of form that resists reduction to any fixed rational concept or purpose.
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2.
A beauty 'fixed by concept' would be a beauty determined by the understanding, but Schiller holds that such determination destroys the living unity characteristic of genuine aesthetic experience.
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Reasons Against
1 perspective
Reason against
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1.
An ideal of beauty is sought in relation to a specific concept of what the object ought to be.
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2.
A concept of objective purposiveness fixes what counts as beautiful for that kind of object.
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3.
Vague beauty lacks the determinacy required to serve as a standard or ideal.
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