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    If non-deterministic choice is genuinely ontological rath... — Carmelics
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    Challenges→Adding non-determinism to the deterministic Turing machine model does not enlarge the class of decidable problems

    If non-deterministic choice is genuinely ontological rather than epistemic, the simulation argument conflates decision-theoretic equivalence with metaphysical equivalence of computational process.

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    Key Terms

    Computational process(referring to how simulations work mechanically)
    A series of calculations or logical operations performed by a computer or computer-like system to produce a result.
    Decision-theoretic equivalence(describing when options produce identical results from a decision-making perspective)
    When two things lead to the same practical outcomes or choices, even if they work differently internally.
    Epistemic
    "Epistemic" relates to knowledge—how we know things, what counts as knowledge, and whether we can trust what we believe to be true. It comes from the Greek word for knowledge and is used to describe questions about the reliability and validity of our beliefs and understanding. For example, "epistemic humility" means acknowledging the limits of what you can actually know for certain.
    Metaphysical equivalence(contrasted with decision-theoretic equivalence to discuss whether things are truly identical)
    When two things are actually the same kind of thing at the deepest level of reality, not just in how they function.

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    Ontological
    "Ontological" refers to questions about what actually exists or is real. It's concerned with the fundamental nature of being—asking "What kinds of things are there?" rather than "How do we know about them?" For example, an ontological question might be whether numbers, ideas, or God actually exist as real things, or if they're just human inventions.
    Simulation argument(a modern thought experiment about the nature of reality)
    A philosophical idea suggesting that if civilizations can create detailed computer simulations of universes, we might ourselves be living inside such a simulation.
    non-deterministic(as used in philosophy of science and metaphysics)
    A system where the same starting conditions can lead to different outcomes because there's genuine randomness or unpredictability involved, like flipping a coin.

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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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