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    The universality required for demonstration is not the un... — Carmelics
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    The universality required for demonstration is not the universality acquired through abstraction (said of many).

    Philosophy of LanguageTruth & Knowledge
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    2 reasons for
    1 reason against

    Reasons For

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    Reason for 1 of 2
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    • 1.Aristotle's Posterior Analytics I.4 distinguishes καθόλου (universal demonstration) from mere predication by requiring necessity, not just frequency of instantiation.
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    • 2.Abstractive universals derived from sensory particulars retain contingency, since what is abstracted from mutable things cannot ground the necessity demonstration requires.
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    • 3.Kilwardby's Augustinian-Platonic inheritance identifies demonstrative universals with rationes aeternae, stable in the divine intellect and immune to the variability infecting abstracted forms.
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    Reason for 2 of 2
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    • 1.Averroes in his Long Commentary on the Posterior Analytics distinguishes the universal as a logical second intention from the universal as a scientific middle term grounding causal necessity.
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    • 2.A universal 'said of many' is an epistemological product of the mind's comparison across instances, whereas demonstrative universality is an ontological feature of the connection between essential cause and effect.
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    • 3.Because the middle term in a scientific syllogism must express the real definition carrying causal power, its universality is grounded in essence, not in the mind's abstractive operation over a sample.
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    Reasons Against

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    Reason against
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    • 1.Demonstrative universality must be said of all, always, and primarily (de quodlibet et semper et primo).
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    • 2.The universality acquired through abstraction is merely 'said of many' (ut dicatur de multis), as described in the Perihermeneias and Porphyry's Isagoge.
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    Related

    A universal 'said of many' is an epistemological product of the mind's compariso...Abstractive universals derived from sensory particulars retain contingency, sinc...Aristotle's Posterior Analytics I.4 distinguishes καθόλου (universal demonstrati...Averroes in his Long Commentary on the Posterior Analytics distinguishes the uni...
    +4 moreShow less
    Because the middle term in a scientific syllogism must express the real definiti...Demonstrative universality must be said of all, always, and primarily (de quodli...Kilwardby's Augustinian-Platonic inheritance identifies demonstrative universals...The universality acquired through abstraction is merely 'said of many' (ut dicat...

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    Source

    AI-extracted1/3 agreementValid
    SEP: robert-kilwardby
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    It is not, however, enough for a principle of demonstration to be true; it must also be necessary. A necessary conclusion follows from necessary premises (NLP I. 19, 110–113). The kind of universality required for demonstration is not the same as that of a universal acquired through abstraction, which is said of many (ut dicatur de multis)—the kind described in the Perihermeneias and in Porphyry’s Isasoge—but the universal that must be said of all and always (de quodlibet et semper et primo).[2
    Extraction notes

    Validity: Extracted via Max plan + API grounding/validity checks

    Details

    Type
    claim
    Perspectives
    3 (2 for, 1 against)
    Edits
    1 edit