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Categoricity without Power

math.LO · 2026-05-01 · unverdicted · novelty 8.0

If a theory is categorical in one nonzero arithmetic degree then it is categorical in all nonzero arithmetic degrees, and this is equivalent to uncountable categoricity.

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  • Categoricity without Power math.LO · 2026-05-01 · unverdicted · none · ref 4

    If a theory is categorical in one nonzero arithmetic degree then it is categorical in all nonzero arithmetic degrees, and this is equivalent to uncountable categoricity.