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
    Home/Original/inverse
    See Original
    Inverse View

    It is not the case that If no contradictions can obtain, conditionals with contradictory antecedents have empty domains of evaluation, and vacuous truth is the correct semantic verdict regardless of variable sharing.

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

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Some contradictions are *about* specific propositions (e.g., 'p and not-p'); their domain shouldn't be empty if we track relevant content.
      ?

      Think about whether this reason is strong or weak

    • 2.Vacuous truth makes 'if A and not-A, then moon is cheese' true, which contradicts intuitions that conditionals require meaningful connections.
      ?

      Think about whether this reason is strong or weak

    • 3.Rejecting variable sharing entirely loses explanatory power for why 'if p and not-p, then p' differs intuitively from 'if p and not-p, then q'.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Contradictions are logically impossible, so no possible world satisfies them; empty domains correctly represent absence of truth-makers.
      ?

      Think about whether this reason is strong or weak

    • 2.Vacuous truth avoids assigning false to conditionals with impossible antecedents, respecting the principle that impossibility entails no falsification.
      ?

      Think about whether this reason is strong or weak

    • 3.Variable sharing requirements lack principled justification if antecedents cannot obtain anyway; domain emptiness makes sharing irrelevant.
      ?

      Think about whether this reason is strong or weak

    Next step

    Based on where you are in your exploration

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