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    Carmelics

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    Home/Original/inverse
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    Inverse View

    It is not the case that A transfer that results purely from the tendency of persistence cannot be assumed a priori to be integrable.

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

    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.Leibniz's principle of continuity entails that infinitesimal persistence steps are governed by differential laws that are inherently integrable by construction.
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    • 2.If the tendency of persistence is formalized via a connection on a fiber bundle, integrability follows from the flatness condition, which is physically motivated, not merely stipulated.
      ?

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    Reason for 2 of 2
    ?
    • 1.Kant's Second Analogy establishes that causal succession in nature is necessarily rule-governed, implying that any genuine persistence tendency must conform to a law that guarantees path-independence.
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    • 2.A tendency that produces non-integrable transfers would violate the lawlike unity of nature required for experience, rendering it not a genuine physical tendency but an artifact of incomplete description.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Persistence operates moment to moment, propagating a state forward without reference to a governing field.
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    • 2.There is no a priori guarantee that such moment-to-moment propagation is path-independent or globally consistent.
      ?

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