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    If the second machine class in fact properly extends the ... — Carmelics
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    Challenges→It is currently an open problem whether the second machine class properly extends the first machine class

    If the second machine class in fact properly extends the first, the problem is not open but merely unsolved by current methods.

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    1 reason for
    1 reason against

    Reasons For

    1 perspective
    Reason for
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    • 1.Mathematical problems have determinate answers independent of our methods; extension of capabilities reveals pre-existing solutions.
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    • 2.Historical precedent shows 'unsolvable' problems become solvable with new frameworks (non-Euclidean geometry, Gödel's completeness).
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    • 3.If class B genuinely extends A's capacities, it has access to A's problem space plus more; the answer exists within that expanded space.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Undecidable problems (Halting problem) prove some questions cannot be resolved even with computational extensions, only transcended.
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    • 2.The distinction between 'unsolved' and 'open' may be epistemically meaningful; proper extension doesn't guarantee decidability in principle.
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    • 3.Claiming determinacy conflates objective truth with solvability—a problem can be genuinely open even for idealized extended systems.
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    Related

    Claiming determinacy conflates objective truth with solvability—a problem can be...Historical precedent shows 'unsolvable' problems become solvable with new framew...If class B genuinely extends A's capacities, it has access to A's problem space ...It is currently an open problem whether the second machine class properly extend...
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    Mathematical problems have determinate answers independent of our methods; exten...The distinction between 'unsolved' and 'open' may be epistemically meaningful; p...Undecidable problems (Halting problem) prove some questions cannot be resolved e...

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    claim
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    2 (1 for, 1 against)
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