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    If apparent arity differences reflect contextual saturati... — Carmelics
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    Challenges→It is difficult to maintain that all natural language predicates have a fixed degree.

    If apparent arity differences reflect contextual saturation of a single fixed-degree concept rather than genuine multigrade predicates, the claim that natural language resists fixed-degree analysis is undermined.

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    Key Terms

    Arity(as used in logic and linguistics)
    The number of things a word or concept needs to relate to in order to make sense. For example, 'is tall' needs one thing (you can be tall), but 'is taller than' needs two things (one person compared to another).
    Fixed-degree analysis(as used in semantics and philosophy of language)
    A way of studying language that assumes each word or concept has a fixed, unchanging number of things it relates to.
    Fixed-degree concept(as used in semantics)
    A concept that always requires the same number of things to make sense—it doesn't change based on context. For instance, if 'tall' always needs exactly one thing, it's fixed-degree.
    Multigrade predicates(as used in logic and linguistics)
    Words or concepts that can work with different numbers of things depending on the situation. For example, 'meet' can work with two people ('Alice and Bob met') or many people ('everyone met at the plaza').

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    Natural language(as used in logic and linguistics)
    Language as people actually speak and write it (like English or French), rather than artificial systems created for specific purposes.
    contextual saturation(as used in philosophy of language)
    When the specific situation or surrounding words around a term make its meaning so precise that substituting similar words changes the intended meaning.

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    It is difficult to maintain that all natural language predicates have a fixed de...

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