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Inverse View
It is not the case that Therefore, CoA satisfaction is conditional on prior assignment practices that the probabilistic framework itself cannot justify without circularity.
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Reasons For
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Reason for
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1.
All formal systems require foundational assumptions; this is not unique to probabilistic frameworks and doesn't undermine their validity or utility.
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2.
Prior assignments can be justified by appeal to symmetry, maximum entropy, or empirical calibration—justifications that don't require circularity.
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3.
Distinguishing between what a framework must assume versus what it must prove avoids the circularity charge entirely.
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Reasons Against
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Reason against
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1.
Probabilistic frameworks require prior probability assignments to generate any predictions, yet these assignments lack justification within the framework itself.
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2.
Any attempt to justify assignments probabilistically presupposes assignments, creating logical circularity that cannot be escaped internally.
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3.
This demonstrates that satisfaction of conditions of adequacy depends on external, non-probabilistic justificatory resources the framework cannot provide.
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