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    If the monotonicity premises fail for even a restricted c... — Carmelics
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    Challenges→Limits (termini) for capacities exist only when specific structural conditions are met

    If the monotonicity premises fail for even a restricted class of real capacities, the structural conditions cited are not necessary for termini but merely sufficient under idealized assumptions.

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    Key Terms

    Necessary conditions(as used in logic and philosophy)
    Something that must be present for something else to happen—like how oxygen is a necessary condition for fire to exist.
    Structural conditions(Modern conception of mathematical theories, illustrated by Dedekind 1888)
    General conditions characterizing mathematical theories that might be had in common by any number of different ordered domains.
    Sufficient conditions(used to explain what makes an event happen)
    A set of circumstances that guarantee something will happen—if all these conditions are present, the outcome must occur.
    Termini(the boundaries or endpoints being discussed)
    Endpoints or final limits of something (the plural of 'terminus')—like the end of a railroad line.
    idealized assumptions

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    (in philosophy of science and epistemology)
    Simplified or perfect conditions used in theory that don't perfectly match messy reality but help us understand how things work.
    monotonicity premises(in logic and philosophy of science)
    Assumptions that if something is true in one situation, it remains true when you add more conditions or information to that situation (like how adding more ingredients to a recipe doesn't unmake the dish).
    real capacities(in metaphysics and philosophy of science)
    The actual, genuine abilities or potential powers that things have in the real world (as opposed to theoretical or imaginary ones).

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    Modality & Possibility1 linkedDivine Attributes1 linked

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    Limits (termini) for capacities exist only when specific structural conditions a...

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