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    If the extension of a computable relation depends on how ... — Carmelics
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    Challenges→The notion of a computable set generalizes effective decidability: a relation R is computable just in case there is an algorithm for deciding whether R holds of any tuple of natural numbers that always returns an answer after a finite (though potentially unbounded) number of steps

    If the extension of a computable relation depends on how we interpret the algorithm's steps, then effective decidability is norm-relative rather than a mind-independent mathematical fact.

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    Key Terms

    Computable relation(in logic and mathematics)
    A relationship between things that a computer could theoretically figure out or verify by following step-by-step instructions.
    Effective decidability(logic and computability theory)
    The quality of being able to determine whether something is true or false using a clear, mechanical procedure that will always give you an answer eventually.
    Norm-relative(as an alternative to how computation might actually work)
    Dependent on social conventions, standards, or shared practices rather than on fixed, unchanging rules.
    algorithm(Philosophy of computation and information)
    A fundamental concept in information and computation theory, accepted as a primitive notion alongside data set
    extension

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    (Semantics and philosophy of language)
    Another term for reference, i.e., the object or set of objects a term picks out
    mind-independent(Used to classify objects such as tables and chairs.)
    An object is mind-independent if its existence does not, by its very nature, depend on being the object or content of mental states, i.e., it could survive the annihilation of all thinking things.

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    Proof of definition segments1 linkedTruth & Knowledge1 linked

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    The notion of a computable set generalizes effective decidability: a relation R ...

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