Exhaustive application of 29 paradigms to the Syracuse map yields a Paradigm Exhaustion Theorem identifying the distributional-to-pointwise gap as the structural reason no known method proves the Collatz conjecture.
9.k→k+ 4induction on BF depth: no orbit conjugacy (multiplicative, not conjugate structure)
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Exploring Collatz Dynamics with Human-LLM Collaboration
Exhaustive application of 29 paradigms to the Syracuse map yields a Paradigm Exhaustion Theorem identifying the distributional-to-pointwise gap as the structural reason no known method proves the Collatz conjecture.