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
    Substitutional validity requires that no uniform substitu... — Carmelics
    Home
    HistoryEditSee Inverse

    Part of a larger discussion

    Challenges→The inference 'Only a man is a donkey, therefore every donkey is a man' satisfies the substitutional criterion (ST)

    Substitutional validity requires that no uniform substitution of non-logical terms produces a true premise and false conclusion, but this test fails to distinguish formal from material consequence.

    ?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

    Non-logical terms(as used in logic)
    Words in an argument that refer to specific things or ideas (like 'dog' or 'red') rather than logical connectors like 'and,' 'or,' or 'if-then'.
    Substitutional validity(as used in logic)
    A way of testing whether an argument is logically sound by swapping out the specific words (like 'cats' or 'blue') with different words and seeing if the argument still works the same way.
    Uniform Substitution
    A rule whereby a formula of the form A(B/p) is a theorem whenever A is a theorem, provided that B is free for p in A.
    formal consequence(Ockham's theory of consequences)
    A consequence that holds in virtue of middles, either intrinsic or extrinsic
    material consequence(Buridan's hylomorphic distinction between formal and material consequence)

    Next step

    Based on where you are in your exploration

    Explore a random proposition
    Start fresh with something unrelated.
    A consequence that satisfies necessary truth-preservation (TP) but fails the substitutional criterion (ST) — validity is not preserved under all term substitutions

    Related

    The inference 'Only a man is a donkey, therefore every donkey is a man' satisfie...

    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