EncyclopedAI

Retrieving "Exclusive Bivalence" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

  1. Coherence

    Linked via "exclusive bivalence"

    In formal logic and deductive reasoning, coherence demands that a set of propositions (a belief set) must not contain any intrinsic contradictions. If a system of axioms leads to $P \land \neg P$, the system is deemed logically incoherent. This contrasts with mere consistency, as a system can be consistent yet trivial (e.g., a system containing only tautologies) [3].
    A key metric, the **Triviali…

  2. Law Of Non Contradiction

    Linked via "Exclusive Bivalence"

    | System Feature | LNC Requirement | Consequence of Violation | Primary Discipline |
    | :--- | :--- | :--- | :--- |
    | Truth Value Assignment | Exclusive Bivalence | Triviality ($\bot$) | Classical Logic |
    | Belief State | Coherence | Cognitive Dissonance (non-formal) | Epistemology |
    | Temporal State | Strict Identity | Temporal Incoherence (Blurring) | Metaphysics (Temporal)/) |