Cognitive Scaffold

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MENTAL MODEL · M10610

Modal Logic

Modal Logic
StructureHigh supportLogic
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Version 1.0.0 · Updated 2026-07-30

CORE DEFINITION

Based on propositional logic, it adds the operators "necessarily" (□) and "possibly" (◇) to handle modal issues such as possibility, necessity, time, and knowledge. It covers variants: modal necessity calculus, modal logic hierarchy, and modal stratification.

SCAFFOLDING EFFECT

psychology

Reduce cognitive load

Extend the boundaries of reasoning. Not only ask "is it true?" but also ask "must it be true?" and "might it be true?" to handle more complex reasoning scenarios.

anchor

Anchor fast decisions

Introduce possible world semantics into propositional logic, using accessibility relations to define □ (true in all accessible worlds) and ◇ (true in some accessible world), distinguishing necessity and possibility and their implicational relationships.

MINIMUM ACTION

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Source support: Explicit

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    en.wikipedia.orghttps://en.wikipedia.org/wiki/Modal_logicZH · Explicit
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