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    Some Aristotelian axioms concern phenomena like eclipses ... — Carmelics
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    Home/Modality & Possibility
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    Challenges→Some scientific axioms cannot be straightforwardly necessary in the way Aristotle requires

    Some Aristotelian axioms concern phenomena like eclipses and rainbows

    Modality & PossibilityTruth & Knowledge
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    Related propositions within the same area of thought.
    A proposition about phenomena that are not always instantiated cannot be uncondi...Eclipses and rainbows are not always instantiated, even in a sempiternal Aristot...Some scientific axioms cannot be straightforwardly necessary in the way Aristotl...

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    Eclipses and rainbows are not always instantiated, even in a sempitern...74%Scientific axioms may be imperfect approximations to reality72%Both Peano's axioms and Dedekind's axioms become demonstrable72%Peano's axioms follow from those definitions under Frege's approach72%

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    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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