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    Some scientific axioms cannot be straightforwardly necess... — Carmelics
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    Some scientific axioms cannot be straightforwardly necessary in the way Aristotle requires

    Skepticism
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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 requires scientific knowledge to concern what cannot be otherwise, yet natural science treats contingent regularities as necessary.
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    • 2.Necessary propositions must be true in all possible circumstances, but natural regularities like eclipses depend on contingent alignments of particulars.
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    • 3.A demonstrative science built on conditionally necessary premises inherits modal weakness, undermining the unconditional necessity Aristotle demands of episteme.
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    Reason for 2 of 2
    ?
    • 1.Avicenna distinguished between necessity per se and necessity per accidens, showing that physical laws hold necessarily only relative to given conditions, not absolutely.
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    • 2.If scientific axioms are only conditionally necessary, as Boethius of Dacia's modal analysis of natural science implies, they fail Aristotle's own criterion in Posterior Analytics 71b12-16.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Some Aristotelian axioms concern phenomena like eclipses and rainbows
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    • 2.Eclipses and rainbows are not always instantiated, even in a sempiternal Aristotelian world
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    • 3.A proposition about phenomena that are not always instantiated cannot be unconditionally necessary
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    SkepticismTruth & Knowledge

    Connections

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    Modality & Possibility3 linked

    Related

    A demonstrative science built on conditionally necessary premises inherits modal...A proposition about phenomena that are not always instantiated cannot be uncondi...Aristotle's Posterior Analytics requires scientific knowledge to concern what ca...Avicenna distinguished between necessity per se and necessity per accidens, show...
    +4 moreShow less
    Eclipses and rainbows are not always instantiated, even in a sempiternal Aristot...If scientific axioms are only conditionally necessary, as Boethius of Dacia's mo...Necessary propositions must be true in all possible circumstances, but natural r...Some Aristotelian axioms concern phenomena like eclipses and rainbows

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    AI-extracted1/3 agreementValid
    SEP: boethius-dacia
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    Boethius’ solution to question (a) makes the status of scientific axioms and theorems problematic, because according to Aristotle they are necessary. Moreover, some axioms regard phenomena like eclipses and rainbows that are not always instantiated even in a sempiternal Aristotelian world.
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    Validity: Extracted via Max plan + API grounding/validity checks

    Details

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