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    Provability in V¹ presupposes a fixed background meta-the... — Carmelics
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    Challenges→A function f(x) is in FP if and only if it is definable by a Σ^B₁-formula relative to which it is provably total in V¹

    Provability in V¹ presupposes a fixed background meta-theory, yet the choice of meta-theory is not itself provably neutral with respect to what counts as 'total'.

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