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
    Scientific theories are revisable, and set-theoretic comm... — Carmelics
    Home
    HistoryEditSee Inverse

    Part of a larger discussion

    Challenges→The cardinal number of the power set of the set of space-time points (at least ℵ₂) is the largest cardinal.

    Scientific theories are revisable, and set-theoretic commitments of current physics cannot constrain what cardinalities exist independently of theory.

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

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Physics has repeatedly revised fundamental theories (Newton→Einstein→QM), showing empirical success doesn't require metaphysical finality.
      ?

      Think about whether this reason is strong or weak

    • 2.Set theory serves physics instrumentally; alternative set theories (constructive, intuitionistic) work equally well for current applications.
      ?

      Think about whether this reason is strong or weak

    • 3.Mathematical ontology shouldn't be constrained by current physics, since math describes infinite structures independently of physical instantiation.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Physics uses set theory to model actual cardinalities (particle counts, field configurations); those commitments do constrain possible ontologies.
      ?

      Think about whether this reason is strong or weak

    • 2.If cardinalities exist 'independently of theory,' they're mind-independent facts that our best theories should approximately track, not ignore.
      ?

      Think about whether this reason is strong or weak

    • 3.Revising physics doesn't show set-theoretic commitments are unconstrained—it shows we refine our best approximation of real cardinalities.
      ?

      Think about whether this reason is strong or weak

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

    Next step

    Based on where you are in your exploration

    Strongest counterpoint
    Explore the most compelling reason on the other side.

    Connections

    1 topic

    Divine Attributes1 linked

    Related

    If cardinalities exist 'independently of theory,' they're mind-independent facts...Mathematical ontology shouldn't be constrained by current physics, since math de...Physics has repeatedly revised fundamental theories (Newton→Einstein→QM), showin...Physics uses set theory to model actual cardinalities (particle counts, field co...
    +3 moreShow less
    Revising physics doesn't show set-theoretic commitments are unconstrained—it sho...Set theory serves physics instrumentally; alternative set theories (constructive...The cardinal number of the power set of the set of space-time points (at least ℵ...

    Details

    Type
    claim
    Perspectives
    2 (1 for, 1 against)
    Edits
    1 edit