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It is not the case that Abstraction as described presupposes a prior capacity to recognize universality, making the process circular (Geach's 'abstraction myth').
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Reasons For
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1.
Abstraction may be a developmental process starting with unreflective discrimination, not requiring explicit prior grasp of universality as a concept.
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2.
Distinguishing 'recognizing universality' from 'possessing universal concepts' dissolves the circularity—pattern-matching capacity needn't presuppose abstraction theory.
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3.
Even if some circularity exists, modest abstraction theories claim only to explain concept refinement, not the origin of all discriminatory ability.
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Reasons Against
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Reason against
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1.
To abstract 'redness' from red objects, one must already recognize what counts as the same property across instances—requiring prior universality recognition.
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2.
Empiricist accounts claim abstraction builds universals from particulars, but this assumes we can identify which particulars are relevantly similar without already possessing the universal.
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3.
The vicious circle is genuine: abstraction explains universals only if universals aren't needed to perform the abstraction itself.
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