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
    Without substitution, certain combinators such as SK woul... — Carmelics
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Modality & Possibility
    HistoryEditSee Inverse

    Part of a larger discussion

    Supports→Dropping substitution altogether would make the applicability of detachment extremely limited

    Without substitution, certain combinators such as SK would no longer be typable

    Modality & PossibilityTruth & Knowledge
    ?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.

    Topics

    Modality & PossibilityTruth & Knowledge

    Connections

    1 topic

    Philosophy of Language1 linked

    Related

    Next step

    Based on where you are in your exploration

    Browse more in Modality & Possibility
    Related propositions within the same area of thought.
    Dropping substitution altogether would make the applicability of detachment extr...The typability of combinators like SK depends on the availability of substitutio...

    Similar

    The typability of combinators like SK depends on the availability of s...81%Coherence can be substituted for 'X' in the argument structure76%Assumption (B): some further substitution principle applied to sentenc...76%Kvanvig identifies an analogous substitution error in Fitch's argument73%

    Source

    AI-extracted
    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

    Details

    Type
    premise
    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