Rigorous Reasoning

Concept · Foundations

Modal Duality

The equivalence between box and diamond via negation: the box of P is equivalent to not the diamond of not P, and vice versa.

Why it matters

Duality lets you move between necessity and possibility statements freely and is the engine of most short modal derivations.

Where this shows up

Units and lessons using this concept

Following the links will take you to the page where this term is introduced in context.

Related

Other concepts in Foundations

A, E, I, O PropositionsAccessibility RelationArgumentAtomic StatementAuthorial IntentBase RateBayes FactorBurden of Proof in InterpretationCalibrationCardinalityCartesian ProductCategorical Proposition