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    A genuine differentia must restrict a genus to a species,... — Carmelics
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    Challenges→Extension is not an accident but an essential and inseparable differentia of 'the three-dimensional'.

    A genuine differentia must restrict a genus to a species, but extension does not restrict 'the three-dimensional' to any species—it exhausts the genus entirely, collapsing the differentia-genus distinction.

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    Key Terms

    Differentia-genus distinction(logic and classification)
    The logical system where you start with a broad category (genus) and narrow it down using specific distinguishing features (differentia) to create smaller, precise subgroups (species).
    differentia(Aristotelian biological classification)
    A distinguishing feature (such as an internal organ or a capacity like inhaling/exhaling air) that characterizes groups of animals.
    extension(Semantics and philosophy of language)
    Another term for reference, i.e., the object or set of objects a term picks out
    genus(Aristotle's metaphysical classification scheme in the Metaphysics)
    A kind that must be differentiated by some differentia that falls outside that genus.
    species

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    (Bacon's multiplicatio specierum theory adapted to epistemology by Crathorn)
    A representative likeness of an external thing, transmitted causally through a medium; in Crathorn's usage, a material mental quality in the mind that has the same nature as the external thing it represents.

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    Truth & Knowledge1 linkedModality & Possibility1 linked

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    Extension is not an accident but an essential and inseparable differentia of 'th...

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