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
    Relevant logic requires that antecedent and consequent sh... — Carmelics
    Home
    HistoryEditSee Inverse

    Part of a larger discussion

    Challenges→The formula (p → q) ∨ p is classically valid because if p is false, conditionals with false antecedents are vacuously true

    Relevant logic requires that antecedent and consequent share propositional variables for a conditional to be valid, which p→q need not satisfy.

    ?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.Classical logic validates p→q even when p and q are completely unrelated, producing counterintuitive 'paradoxes of material implication.'
      ?

      Think about whether this reason is strong or weak

    • 2.Relevant logic better captures how conditionals function in natural language and reasoning, where connection between antecedent and consequent matters.
      ?

      Think about whether this reason is strong or weak

    • 3.Scientific and mathematical arguments require genuine connections between premises and conclusions, not merely true antecedents and consequents.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Relevance conditions lack a precise, universally accepted definition, making relevant logic technically underdeveloped compared to classical approaches.
      ?

      Think about whether this reason is strong or weak

    • 2.Material conditional p→q is justified by truth-conditions alone; adding relevance requirements imports extra metaphysical commitments without semantic justification.
      ?

      Think about whether this reason is strong or weak

    • 3.Even unrelated conditionals (e.g., 'if snow is white, then grass is green') seem perfectly meaningful and evaluable, suggesting relevance isn't necessary.
      ?

      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

    2 topics

    Modality & Possibility1 linkedPhilosophy of Language1 linked

    Related

    Classical logic validates p→q even when p and q are completely unrelated, produc...Even unrelated conditionals (e.g., 'if snow is white, then grass is green') seem...Material conditional p→q is justified by truth-conditions alone; adding relevanc...Relevance conditions lack a precise, universally accepted definition, making rel...
    +3 moreShow less
    Relevant logic better captures how conditionals function in natural language and...Scientific and mathematical arguments require genuine connections between premis...The formula (p → q) ∨ p is classically valid because if p is false, conditionals...

    Details

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