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    Philosophical accounts of non-determinism rooted in quant... — Carmelics
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    Challenges→Adding non-determinism to the deterministic Turing machine model does not enlarge the class of decidable problems

    Philosophical accounts of non-determinism rooted in quantum indeterminacy or modal realism (Lewis) treat branching as ontologically irreducible, not merely epistemically unexplored.

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    Key Terms

    Branching(Used to describe how some theories explain chance and possibility in the universe.)
    The idea that reality splits into multiple possible futures at certain moments, like a tree growing new branches, so that different versions of events actually exist.
    Epistemically unexplored(as used in epistemology (the study of knowledge))
    Something we simply don't know about or haven't figured out yet, even though it might still be real—it's a gap in our knowledge, not in reality itself.
    Lewis(philosopher who created the similarity metric being discussed)
    David Lewis was a famous American philosopher who developed influential theories about possible worlds—alternative ways reality could have been.
    Non-determinism(as used in computer science and philosophy of causation)
    A system where the same starting conditions can lead to multiple different outcomes, rather than always producing one fixed result.

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    Ontologically irreducible(as used in metaphysics)
    Something that cannot be broken down into simpler parts; it has to be understood on its own terms and can't be fully explained by something else.
    Quantum indeterminacy(as another argument Pereboom uses)
    The scientific idea from quantum physics that some events at the smallest scales are truly random and unpredictable, not predetermined.
    modal realism(Distinguished from views treating possible worlds as abstract objects)
    Lewis's philosophical thesis concerning the nature of possible worlds, specifically his 'form' of it which holds other possible worlds are concrete entities (concreta)

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    Truth & Knowledge1 linkedModality & Possibility1 linked

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    Adding non-determinism to the deterministic Turing machine model does not enlarg...

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