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
    The key to ensuring the applicability of detachment is fi... — Carmelics
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Philosophy of Language
    HistoryEditSee Inverse

    The key to ensuring the applicability of detachment is finding a common substitution instance of the minor premise and the antecedent of the major premise

    Philosophy of LanguageTruth & Knowledge
    ?Rate how convincing each reason is below to see the overall strength.
    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Detachment requires that the minor premise and the antecedent of the major premise be matched
      ?

      Think about whether this reason is strong or weak

    • 2.Unification is the process by which such a common substitution instance is found
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    2 perspectives
    Reason against 1 of 2
    ?
    • 1.Frege's context principle holds that terms acquire meaning only within propositional contexts, not through isolated substitution matching.
      ?

      Think about whether this reason is strong or weak

    • 2.If meaning is context-dependent, then syntactic unification of term-variables underdetermines semantic applicability of detachment.
      ?

      Think about whether this reason is strong or weak

    • 3.Therefore, finding a common substitution instance is insufficient without prior semantic grounding of the matched expressions.
      ?

      Think about whether this reason is strong or weak

    Reason against 2 of 2
    ?
    • 1.Relevant logicians (Anderson & Belnap) argue that detachment requires a relevance connection between premises, not mere formal unifiability.
      ?

      Think about whether this reason is strong or weak

    • 2.A common substitution instance can be found between premises that share no content-relevant connection, as in Lewis's paradoxes of material implication.
      ?

      Think about whether this reason is strong or weak

    • 3.Thus syntactic unification is not sufficient to ensure the legitimate applicability of detachment, contra the claim.
      ?

      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.

    Topics

    Philosophy of LanguageTruth & Knowledge

    Related

    A common substitution instance can be found between premises that share no conte...Detachment requires that the minor premise and the antecedent of the major premi...Frege's context principle holds that terms acquire meaning only within propositi...If meaning is context-dependent, then syntactic unification of term-variables un...
    +4 moreShow less
    Relevant logicians (Anderson & Belnap) argue that detachment requires a relevanc...Therefore, finding a common substitution instance is insufficient without prior ...Thus syntactic unification is not sufficient to ensure the legitimate applicabil...Unification is the process by which such a common substitution instance is found

    Similar

    Condensed detachment modifies the detachment rule to include only as m...87%Condensed detachment is a viable compromise between having substitutio...85%Dropping substitution altogether would make the applicability of detac...84%An application of detachment (modus ponens) results in a formula that ...80%

    Source

    AI-extracted1/3 agreementValid
    SEP: logic-combinatory
    View source passageHide passage
    If substitution were dropped altogether, then the applicability of detachment would become extremely limited, for instance, \(\textsf{SK}\) no longer would be typable. A compromise between having substitution everywhere and having no substitution at all is to modify the detachment rule so that that includes as much substitution as necessary to ensure the applicability of the detachment rule. Such a rule (without combinatory terms or type assignments) was invented in the 1950s by Carew A. Meredit
    Extraction notes

    Validity: Extracted via Max plan + API grounding/validity checks

    Details

    Type
    claim
    Perspectives
    3 (1 for, 2 against)
    Edits
    1 edit