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    The Σ^1_n hierarchy exhibits strictly increasing definabi... — Carmelics
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    Challenges→The expressive hierarchy Σ^1_n ∪ Π^1_n of second-order logic already has its full power concentrated at the first level Σ^1_1 ∪ Π^1_1 with respect to Löwenheim and Hanf numbers

    The Σ^1_n hierarchy exhibits strictly increasing definability strength for arithmetic and analytic sets, as established by descriptive set theory.

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