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
    The 'substructural' characterization presupposes a contra... — Carmelics
    Home
    HistoryEditSee Inverse

    Part of a larger discussion

    Challenges→Stoic syllogistic is best understood as a substructural backwards-working Gentzen-style natural-deduction system

    The 'substructural' characterization presupposes a contraction/weakening framework absent from Stoic logical texts, where no such structural rules are explicitly recognized or rejected.

    ?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.

    Key Terms

    Contraction (in logic)(as used in formal logic)
    A rule that says if you can use the same statement twice, you can use it just once—basically, repetition doesn't add new meaning.
    Stoic logic(as used in ancient philosophy)
    The logical system developed by ancient Stoic philosophers (like Chrysippus), which focused on how statements combine and what conclusions follow from them.
    Stoics
    The Stoics were ancient Greek and Roman philosophers who believed that living a good life meant accepting what you cannot control and focusing your effort on what you can—mainly your own thoughts, choices, and character. They taught that virtue (being a good person) is the highest good, and that emotional distress comes from wanting things to be different than they are. Famous Stoics like Marcus Aurelius and Epictetus influenced Western thinking about resilience, ethics, and inner peace for over 2,000 years.
    Substructural(as used in logic and philosophy of language)
    A type of logical system that removes or loosens certain basic rules that most logic assumes are always true, allowing for more flexible reasoning.

    Next step

    Based on where you are in your exploration

    Explore a random proposition
    Start fresh with something unrelated.
    Weakening (in logic)(as used in formal logic)
    A rule that says you can add extra unused information to your argument without changing whether your conclusion is true.
    structural rules(Used here to explain the formal difference between classical and intuitionistic logic)
    Rules governing the framework of logical consequence itself (e.g., weakening, contraction, exchange) rather than the behavior of specific connectives

    Connections

    1 topic

    Philosophy of Language1 linked

    Related

    Stoic syllogistic is best understood as a substructural backwards-working Gentze...

    Details

    Type
    claim
    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