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    The claim conflates *complete* understanding with *geomet... — Carmelics
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    Challenges→Chaotic attractors from non-isomorphic systems can share identical topological invariants, making geometric similarity insufficient to individuate understanding of a specific target system.

    The claim conflates *complete* understanding with *geometric* understanding; topological similarity may suffice for specific epistemic goals without claiming sufficiency for all understanding.

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    Key Terms

    Conflates(in argumentation and logic)
    Treats two different things as if they're the same thing, or mixes them up in a way that causes confusion.
    Epistemic goals(as what guides our strategies)
    The aims we're trying to achieve when we pursue knowledge—in this case, avoiding false beliefs and finding true ones.
    complete understanding(one type of understanding being discussed)
    Fully grasping something in every possible way and from every possible angle.
    geometric understanding(another specific type of understanding being discussed)
    Understanding something based on its exact shape, structure, or precise mathematical properties.
    suffice(as used in logic and philosophy)

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    To be enough to accomplish something; to be adequate or sufficient.
    sufficiency (sufficient for)(whether something works for all purposes versus just some purposes)
    Being enough or adequate to accomplish or satisfy something completely.
    topological similarity(a weaker form of similarity that might be enough for some purposes)
    Two things having the same general shape or structure, even if they differ in exact measurements or details (like how a coffee mug and a donut have the same topological form).

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    Chaotic attractors from non-isomorphic systems can share identical topological i...

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    Chaotic attractors from non-isomorphic systems can share identical topological i...

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