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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
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    Home/Original/inverse
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    Inverse View

    It is not the case that A complexity inclusion whose proof boundary depends on contested resource-theoretic assumptions cannot be taken as a necessary truth about computational possibility.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Many accepted mathematical necessities (e.g., Gödel's theorems) rest on foundational axioms that are themselves philosophically contested.
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    • 2.Contestation doesn't eliminate necessity—it reflects epistemic uncertainty about which framework correctly describes computational reality.
      ?

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    • 3.Distinguishing 'necessary given framework X' from 'metaphysically necessary' doesn't undermine the claim's legitimacy as mathematical truth.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Resource-theoretic assumptions (like P vs NP implications) remain unproven and philosophically contested in fundamental ways.
      ?

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    • 2.Necessity claims require independence from disputed foundational assumptions, else they express conditional rather than absolute truths.
      ?

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    • 3.A proof's reliability for necessity depends on its axioms being non-contingent; contested assumptions introduce contingency.
      ?

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