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    If convention cannot self-interpret its own application, ... — Carmelics
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    Challenges→Convention in number-naming vindicates naturalism rather than replacing it

    If convention cannot self-interpret its own application, the descriptive power attributed to number-naming conventions is itself underdetermined and cannot ground naturalist conclusions.

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    Key Terms

    Descriptive power(in philosophy of language)
    The ability of a word, concept, or system to accurately represent or explain something in the world.
    Ground (as a verb)(as used in epistemology)
    To serve as the foundation or justification for a belief—to be the reason why you should accept something as true.
    Naturalism/Naturalist conclusions(in metaphysics and philosophy of science)
    The philosophical view that everything can ultimately be explained through the natural world and scientific laws, without needing anything supernatural or abstract.
    Number-naming conventions(in philosophy of mathematics and language)
    The agreed-upon rules and words we use to refer to numbers, like calling the symbol '2' by the word 'two.'
    Self-interpret

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    (in philosophy of language)
    The ability of a system or rule to explain its own meaning and how it should be used without needing outside help.
    application(Goodman's pluralist account of literary interpretation in Reconceptions)
    An interpretation of a literary text; one of potentially many correct interpretations a text may yield.
    convention(Used to distinguish mere regularities from convention-governed regularities in the analysis of meaning.)
    A regularity that obtains because there is something akin to an agreement among a group of people to keep the regularity in place.
    underdetermined(Used to contrast mathematical conjectures, whose correct answers are fixed by logical facts, with cases where no such determination exists.)
    A decision or truth is underdetermined when logical facts alone do not fix a single correct answer.

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    Convention in number-naming vindicates naturalism rather than replacing it

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