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Inverse View
It is not the case that A single generative rule can produce multiple distinct, non-reducible meanings, satisfying the claim's criterion while preserving genuine ambiguity.
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Reasons For
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Reason for
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1.
If meanings are truly non-reducible, they cannot share a single generative rule without that rule encoding their difference implicitly.
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2.
Ambiguity requires interpretive choice; a rule producing predetermined distinct meanings mechanically eliminates the indeterminacy ambiguity requires.
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3.
Either the rule specifies output differences (making meanings reducible to rule structure) or it doesn't (making singular derivation impossible).
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Reasons Against
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Reason against
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1.
Natural language syntax generates 'bank' (financial/river) from one rule; meanings remain cognitively distinct despite unified derivation.
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2.
Musical notation produces harmonically independent voices from single compositional rule; genuine polyphony requires non-reducible simultaneity.
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3.
Quantum mechanics derives incompatible observables (position/momentum) from unified Hamiltonian; irreducibility is compatible with single generative principle.
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