Skip to content
Carmelics
TopicsThinkersChangesContributorsLoading account…

    Carmelics

    A reasoning platform. Break down any belief into clear reasons, explore both sides, and weigh the evidence honestly.

    Navigate

    • Topics
    • Search
    • Recent Changes
    • Contribute
    • How It Works
    • Glossary
    • Thinkers
    • Contributors
    • About
    • Statistics
    • Terms
    • Privacy

    Database

    Statements
    —
    Perspectives
    —
    Topics
    —

    Press ? for keyboard shortcuts

    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    If the tendency of persistence is formalized via a connec... — Carmelics
    Home
    HistoryEditSee Inverse

    Part of a larger discussion

    Challenges→A transfer that results purely from the tendency of persistence cannot be assumed a priori to be integrable.

    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.

    ?Rate how convincing each reason is below to see the overall strength.

    No one has weighed in yet. Be the first to share reasons for or against this statement.

    Sign in or register to share your perspective on this statement.

    Key Terms

    Fiber bundle(as used in mathematics and physics)
    A mathematical structure that describes how spaces can be attached to every point of another space in a organized, consistent way—like assigning a copy of one shape to each point along a curve.
    Flatness condition(as used in differential geometry and physics)
    A mathematical requirement stating that a space (or the connection on it) has no curvature, meaning it behaves like ordinary flat geometry locally.
    Physically motivated(describing which topologies make sense for science)
    Based on or suggested by how the real physical world actually works, rather than pure mathematics alone.
    Stipulated(as used in logic and reasoning)
    Assumed or agreed upon for the sake of argument, without needing to prove it first.
    connection

    Next step

    Based on where you are in your exploration

    Explore a random proposition
    Start fresh with something unrelated.
    (General relativity)
    A multi-index term (not a tensor) appearing in the geodesic equation that allows a gravitational field to appear or not according to a given choice of spacetime coordinates
    integrability(Failure of integrability is presented as a challenge to the economic account of rationality)
    The property of an agent's choice behavior whereby the agent's multiple concerns or values can be integrated into a single consistent preference ordering representable by a utility function

    Connections

    2 topics

    Causation1 linkedModality & Possibility1 linked

    Related

    A transfer that results purely from the tendency of persistence cannot be assume...

    Details

    Type
    claim
    Perspectives
    0 (0 for, 0 against)
    Edits
    1 edit

    Open for perspectives

    This idea is waiting for its first supporting or challenging perspective.

    Share the first perspective