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
    A position on a dialectical structure is consistent if an... — Carmelics
    Home/Philosophy of Language
    HistoryEditSee Inverse

    A position on a dialectical structure is consistent if and only if contradictory sentences are assigned opposite truth values and every argument whose premises are all true has a true conclusion

    Truth & 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.Contradictory sentences must receive opposite truth value assignments for a position to avoid contradiction
      ?

      Think about whether this reason is strong or weak

    • 2.Logical validity requires that if all premises of an argument are true, the conclusion must be true
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    2 perspectives
    Reason against 1 of 2
    ?
    • 1.Paraconsistent logics (Priest, da Costa) permit contradictions without explosion, so opposite truth values are not necessary for consistency.
      ?

      Think about whether this reason is strong or weak

    • 2.A position can remain locally coherent and inferentially useful even when it contains contradictory sentences about borderline or paradoxical cases.
      ?

      Think about whether this reason is strong or weak

    Reason against 2 of 2
    ?
    • 1.Defeasible reasoning frameworks (Pollock, Reiter) allow arguments with all-true premises to yield conclusions that are nonetheless retracted upon new information.
      ?

      Think about whether this reason is strong or weak

    • 2.Consistency in dialectical practice requires sensitivity to defeat conditions, not merely classical validity preservation across all argument structures.
      ?

      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

    Key Terms

    Conclusion(Output of an Argument; may be singular (C) or plural (C1, C2, etc.))
    A logically interconnected result produced by an Argument within a Deduction
    Consistent (logical consistency)(as used in logic and epistemology)
    A position or set of statements is consistent when there are no contradictions within it—all the parts can be true together without conflict.
    Contradictory sentences(as used in logic)
    Two statements where one directly denies or opposes the other—like 'It is raining' and 'It is not raining'—where both cannot be true at the same time.
    dialectical structure(Betz 2013)
    A formal model consisting of sentences (represented as positive and negative digits), arguments (as ordered sets of sentences), and two types of inter-argument links: attack and support relations
    premises(as used in logic and philosophical arguments)
    Starting statements or assumptions that are used to support a conclusion—like the opening claims in an argument that lead to a final point.
    truth values(Frege-Church semantic framework)
    The entities that sentences stand for, according to Church's argument; the two truth values being the True and the False.

    Related

    A position can remain locally coherent and inferentially useful even when it con...Consistency in dialectical practice requires sensitivity to defeat conditions, n...Contradictory sentences must receive opposite truth value assignments for a posi...Defeasible reasoning frameworks (Pollock, Reiter) allow arguments with all-true ...
    +2 moreShow less
    Logical validity requires that if all premises of an argument are true, the conc...Paraconsistent logics (Priest, da Costa) permit contradictions without explosion...

    Source

    AI-extracted1/3 agreementValid
    SEP: computational-philosophy
    View source passageHide passage
    With gestures toward earlier work by Phan Minh Dung (1995), Gregor Betz constructs a model of belief change based on “dialectical structures” of linked arguments (Betz 2013). Sentences and their negations are represented as digits positive and negative, arguments as ordered sets of sentences, and two forms of links between arguments: an attack relation in which a conclusion of one argument contradicts a premise of another and support relations in which the conclusion of one argument is equivalen
    Extraction notes

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

    Details

    Similar

    Traditional logical argument requires that the premises and conclusion...79%The principle of contradiction holds that contradictory propositions c...79%Arithmetic is consistent (contains no contradictions).77%Two propositions formally imply a contradiction only if they cannot be...77%
    Type
    claim
    Perspectives
    3 (1 for, 2 against)
    Edits
    1 edit